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ARCH CAPITAL GROUP LTD. (ACGL)

CIK: 0000947484. SIC: 6331 Fire, Marine & Casualty Insurance. Latest 10-K as of: 2026-02-26.

SIC breadcrumb: Finance, Insurance, And Real Estate > Insurance Carriers > SIC 6331 Fire, Marine & Casualty Insurance

SEC company page: https://www.sec.gov/edgar/browse/?CIK=947484. Latest filing source: 0000947484-26-000017.

Informational only - descriptive public-record data, not investment advice.

Selected Fundamentals

MetricValueUnitFYFiled
Revenue19,929,000,000USD20252026-02-26
Net income4,399,000,000USD20252026-02-26
Assets79,241,000,000USD20252026-02-26

Financials

Annual standardized facts from SEC companyfacts as of latest extracted filing date 2026-02-26. Source: https://data.sec.gov/api/xbrl/companyfacts/CIK0000947484.json. Derived margins, ratios, and free cash flow are computed from the extracted annual SEC facts.

Flow metrics use full-year FY periods from 10-K/10-K/A filings; balance-sheet metrics use FY-end instants. Free cash flow = operating cash flow - capital expenditures. Missing metrics are omitted rather than fabricated.

Metric20132016201720182019202020212022202320242025
Revenue4,463,556,0005,627,375,0005,450,568,0006,925,967,0008,508,509,0009,248,000,0009,613,000,00013,634,000,00017,440,000,00019,929,000,000
Net income692,738,000619,278,000757,971,0001,636,319,0001,405,521,0002,157,000,0001,476,000,0004,443,000,0004,312,000,0004,399,000,000
Diluted EPS1.781.361.733.873.325.233.8011.6211.1911.60
Operating cash flow850,868,0001,094,878,0001,559,322,0002,048,459,0002,886,505,0003,425,000,0003,816,000,0005,749,000,0006,673,000,0006,172,000,000
Capital expenditures15,303,00022,841,00029,809,00037,837,00039,872,00041,000,00050,000,00052,000,00051,000,00044,000,000
Share buybacks75,256,0000.00282,762,0002,871,00083,472,0001,234,000,000586,000,0000.0024,000,0001,889,000,000
Assets29,372,109,00032,051,658,00032,218,329,00037,885,361,00043,282,297,00045,101,000,00047,990,000,00058,906,000,00070,906,000,00079,241,000,000
Liabilities20,060,984,00021,805,723,00021,780,650,00025,569,809,00029,294,856,00031,546,000,00035,069,000,00040,551,000,00050,086,000,00055,035,000,000
Stockholders' equity8,253,718,0009,196,602,0009,439,827,00011,497,371,00013,105,886,00013,546,000,00012,910,000,00018,353,000,00020,820,000,00024,206,000,000
Cash and cash equivalents842,942,000606,199,000646,556,000726,230,000906,448,000859,000,000855,000,000917,000,000979,000,000993,000,000
Free cash flow1,072,037,0001,529,513,0002,010,622,0002,846,633,0003,384,000,0003,766,000,0005,697,000,0006,622,000,0006,128,000,000

Ratios

ROE and ROA use period-end equity/assets. Liabilities / equity uses total liabilities divided by stockholders' equity. Current ratio uses current assets divided by current liabilities when both are reported.

Metric20132016201720182019202020212022202320242025
Net margin15.52%11.00%13.91%23.63%16.52%23.32%15.35%32.59%24.72%22.07%
Return on equity8.39%6.73%8.03%14.23%10.72%15.92%11.43%24.21%20.71%18.17%
Return on assets2.36%1.93%2.35%4.32%3.25%4.78%3.08%7.54%6.08%5.55%
Liabilities / equity2.432.372.312.222.242.332.722.212.412.27

Financial Charts

Quarterly

Quarterly standardized facts from SEC companyfacts as of latest extracted filing date 2026-05-05. Source: https://data.sec.gov/api/xbrl/companyfacts/CIK0000947484.json.

Flow metrics use discrete quarter-length periods from 10-Q/10-Q/A filings. Q4 revenue and net income are derived only when annual FY and nine-month YTD facts exist for the same fiscal year; derived Q4 values are labeled. EPS Q4 is not derived.

QuarterEnd DateRevenueNet IncomeDiluted EPSMethod
2022-Q12022-03-310.48reported discrete quarter
2022-Q22022-06-301.04reported discrete quarter
2022-Q32022-09-300.02reported discrete quarter
2022-Q42022-12-313,071,885,000859,688,000derived Q4 = FY annual - nine-month YTD
2023-Q12023-03-313,168,000,000715,000,0001.87reported discrete quarter
2023-Q22023-06-303,162,000,000671,000,0001.75reported discrete quarter
2023-Q32023-09-303,329,000,000723,000,0001.88reported discrete quarter
2023-Q42023-12-313,975,000,0002,334,000,000derived Q4 = FY annual - nine-month YTD
2024-Q12024-03-313,941,000,0001,120,000,0002.92reported discrete quarter
2024-Q22024-09-304,722,000,000988,000,0002.56reported discrete quarter
2025-Q12025-03-314,673,000,000574,000,0001.48reported discrete quarter
2025-Q22025-06-305,213,000,0001,237,000,0003.23reported discrete quarter
2025-Q32025-09-305,109,000,0001,350,000,0003.56reported discrete quarter
2025-Q42025-12-314,934,000,0001,238,000,000derived Q4 = FY annual - nine-month YTD
2026-Q12026-03-314,521,000,0001,047,000,0002.88reported discrete quarter

Quarterly Charts

Macro Cross-References

Latest quarter (10-Q)

Latest 10-Q source: 0000947484-26-000058.

Extracted structurally from real Item 2 body heading to real Item 3/4 boundary. Confidence: high. Filing date: 2026-05-05. Report date: 2026-03-31.

ITEM 2.     MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year ended December 31, 2025 (“2025 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 2025 Form 10-K and “ITEM 1A—Risk Factors” of this Form 10-Q. All amounts are in millions, except per share amounts, unless otherwise noted.

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “Arch”, “the Company”, “we”, “our” or “us”) is a publicly listed Bermuda exempted company with approximately $26.9 billion in capital at March 31, 2026 and, through operations in Bermuda, the United States, Europe, Canada and Australia, writes insurance, reinsurance and mortgage insurance on a worldwide basis.

Page No.
Current Outlook36
Financial Measures37
Comment on Non-GAAP Financial Measures38
Results of Operations40
Insurance Segment40
Reinsurance Segment42
Mortgage Segment43
Corporate45
Critical Accounting Policies, Estimates and Recent Accounting Pronouncements46
Financial Condition46
Liquidity52
Capital Resources52
Catastrophic and Severe Economic Events54
Market Sensitive Instruments and Risk Management55
Column 1Column 2Column 3
ARCH CAPITAL352026 FIRST QUARTER FORM 10-Q

Table of Contents

CURRENT OUTLOOK

We delivered a strong 2026 first quarter, with attractive underwriting margins reflecting the disciplined execution of our underwriting and capital management strategies. For the quarter, we generated an annualized net income return on average common equity and an annualized operating return on average common equity of 17.8% and 15.4%, respectively. See “Comment on Non-GAAP Financial Measures.” Critical to our cycle management is emphasizing risk selection, as we continue to leverage our diversified specialty platform and the expertise of our underwriting teams. We invest and use data and analytics to sharpen insights, enhance risk selection and deliver a differentiated customer experience while fostering a culture that attracts the best-in-class talent. We believe our balance sheet is in excellent health, giving us optionality as we remain prudent stewards of the capital entrusted to us by our shareholders. Our strong balance sheet permits us to both invest in our business and return capital to investors. During the 2026 first quarter, we repurchased $783 million of Arch common shares.

Market conditions have become more competitive compared to recent years; however, rates and terms and conditions, in aggregate, continue to support attractive returns. Capturing those returns requires the ability and willingness to actively manage the portfolio across and within lines of business. We continue to execute our cycle management strategy by actively allocating capital to the segments with the best risk-adjusted returns, while retaining the flexibility to invest in our platform when we find attractive opportunities.

Our insurance segment reported $66 million of underwriting income for the 2026 first quarter. Overall, market conditions remained favorable; however, topline growth in the segment was essentially flat, reflecting a focus on profitability over volume as competitive pressures persist. Growth opportunities remained across most casualty-focused lines of business, including E&S casualty, construction and alternative markets in the U.S., as well as select lines of our London market business. These opportunities were partially offset by competitive rate pressure in select property and short‑tail lines, as well as our decision not to renew certain middle market commercial program business we acquired from Allianz in 2024 (the “MCE Acquisition”). We have substantially completed the data and system migration of the acquired businesses, positioning the platform to pursue scalable growth and enhance client and distribution experience. Operating expenses were elevated this quarter as we incurred additional expenses related to the transition of the MCE Acquisition, with certain remaining transition expenses expected to extend into mid‑year.

Our reinsurance segment contributed $441 million of underwriting income in the 2026 first quarter, benefiting from disciplined underwriting and a favorable portfolio mix. Net premiums written were $2.2 billion, down roughly 6% when compared to 2025 first quarter, reflecting pricing pressures and higher retentions by cedants in certain property and short‑tail lines. As increased capacity has contributed to competitive conditions across portions of the reinsurance market, our underwriting teams are working to actively manage the cycle by selectively writing new business where returns are attractive and reduce participation where pricing does not meet our minimum return thresholds.

Our mortgage segment continued to deliver a steady level of earnings, generating $221 million of underwriting income in the 2026 first quarter. New originations remained modest due to affordability challenges tied to mortgage rates and home prices, which continued to constrain demand. We believe the underlying fundamentals of our mortgage portfolio remain strong, and our U.S. market share was stable. The persistency of our in-force U.S. primary mortgage insurance portfolio remained a healthy 80.7%, and our delinquency rate remained low. We continue to expect the mortgage segment to serve as a steady diversifying contributor to our overall earnings and generate attractive underwriting income given the high credit quality and embedded equity of our in-force portfolio.

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ARCH CAPITAL362026 FIRST QUARTER FORM 10-Q

Table of Contents

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $66.19 at March 31, 2026, compared to $65.11 at December 31, 2025, and $55.15 at March 31, 2025. The 1.7% increase in book value per share for the 2026 first quarter primarily reflected strong underwriting returns.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, represents net income available to Arch common shareholders, excluding net realized gains or losses (which include, but are not limited to, realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and income taxes. Management uses Operating ROAE as a key measure of the return generated to common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 17.8% for the 2026 first quarter, compared to 11.1% for the 2025 first quarter. Our Operating ROAE was 15.4% for the 2026 first quarter, compared to 11.5% for the 2025 first quarter. Return for the 2026 periods reflected strong underwriting returns.

Total Return on Investments

Total return on investments, a non-GAAP financial measure as defined in Regulation G, includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses attributable to the investment portfolio and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See “Comment on Non-GAAP Financial Measures.”

Arch PortfolioBenchmark Return
Pre-tax total return (before investment expenses):
2026 First Quarter0.10%0.01%
2025 First Quarter2.02%2.04%

Total return for the 2026 first quarter reflected the impact of higher interest rates on our fixed income portfolio. We continue to maintain a relatively short duration on our fixed income portfolio of 3.43 years at March 31, 2026, in line with our asset allocation targets.

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality with a fixed income component matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. It is recalibrated annually. Although the estimated fixed income duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index during the year except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. At March 31, 2026, the fixed income portion of the benchmark had an average credit quality of “A1” by Moody’s and an estimated fixed income duration of 3.17 years.

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ARCH CAPITAL372026 FIRST QUARTER FORM 10-Q

Table of Contents

The benchmark return index included weightings to the following indices:

[[GREPCENT_TABLE]]
[["","%"],["ICE BofA 1-5 Year U.S. Corporate Index","16.80"],["ICE BofA 5-10 Year U.S. Corporate Index","8.00"],["Yield on 3-5 Year U.S. Treasury Index plus 5.5%","16.00"],["ICE BofA 1-10 Year U.S. Treasury Index","15.00"],["ICE BofA 0-3 Month U.S. Treasury Index","3.00"],["ICE BofA BB-B U.S. High Yield Constrained Index","5.50"],["JPM CLOIE Investment Grade","5.00"],["ICE BofA 3-5 Year U.S. Agency CMO Excluding IO & PO Index","5.00"],["ICE BofA U.S. Fixed Rate CMBS Index","4.00"],["ICE BofA U.S. Fixed & Floating Rate Asset Backed Securities Index","2.50"],["S&P 500 Total Return Index","4.25"],["ICE BofA 1-5 Year U.K. Gilt Index","5.90"],["ICE

[Excerpt truncated for page length; source filing is linked above.]

Latest 10-K MD&A

Extracted structurally from real Item 7 body heading to real Item 7A/8 boundary. Confidence: high. Filing date: 2026-02-26. Report date: 2025-12-31.

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2025 and 2024. Comparisons between 2024 and 2023 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2024 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”

This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. All amounts are in millions, except per share amounts, unless otherwise noted.

Page No.
Overview71
Current Outlook71
Financial Measures72
Comments on Non-GAAP Measures73
Results of Operations75
Insurance Segment75
Reinsurance Segment77
Mortgage Segment78
Corporate80
Summary of Critical Accounting Estimates81
Financial Condition89
Liquidity92
Capital Resources94
Contractual Obligations and Commitments97
Ratings97
Catastrophic Events and Severe Economic Events98
Market Sensitive Instruments and Risk Management100
Column 1Column 2Column 3
ARCH CAPITAL702025 FORM 10-K

OVERVIEW

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $26.9 billion in capital at December 31, 2025 and is part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, experienced management team and strong capital base enable us to establish a strong presence in the markets where we operate.

The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, narrow terms and conditions, and strong underwriting profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a “soft” market, which has characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and lower underwriting profits for insurers. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.

The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.

Mortgage insurance and reinsurance are subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.

CURRENT OUTLOOK

We reported very good results for 2025, with an annualized net income return on average common equity and operating return on average common equity of 20.1% and 17.1%, respectively. See “Comment on Non-GAAP Financial Measures.” Meaningful contributions from all three segments along with solid investment returns resulted in book value growth for 2025 of 22.6%. Our strong balance sheet and capital-generating capabilities permit us to both invest in our business and return capital to investors. During 2025, we repurchased $1.9 billion of Arch common shares.

As we head into 2026 with measured optimism and increased competition across our property and casualty businesses, our commitment to deliver long-term value for our shareholders remains unchanged. Critical to our cycle management is emphasizing risk selection, as we continue to leverage our diversified specialty platform and the expertise of our underwriting teams. We invest and use data and analytics to sharpen insights, enhance risk selection and deliver a differentiated customer experience while fostering a culture that attracts the best-in-class talent. We closed 2025 with a balance sheet in excellent health, giving us optionality as we remain prudent stewards of the capital entrusted to us by our shareholders.

Our insurance segment reported $375 million of underwriting income in 2025, with net premium written nearly $7.8 billion, an increase of 13.4% from 2024. Growth in net premiums written primarily resulted from the U.S MidCorp and Entertainment insurance businesses acquired from Allianz on August 1, 2024 (“MCE Acquisition”). The acquired business further expands our insurance platform, providing more opportunities to capitalize on attractive margins. Across the insurance platform, our underwriters continue to pursue growth in areas where risk-adjusted returns exceed or meet our long-term objectives. In North America, the casualty rate environment is largely keeping pace with loss cost trends, while pricing in our international business units is tracking slightly below loss trends. In North America, we continue to grow in specialty casualty lines, including alternative markets, construction and E&S casualty. Within each geography, consistent with our cycle management approach, we adjust our business mix in response to changing market conditions and pricing dynamics.

Column 1Column 2Column 3
ARCH CAPITAL712025 FORM 10-K

Our reinsurance segment contributed $1.6 billion of underwriting income in 2025. At the January 1, 2026 renewals, property catastrophe and more generally short-tail excess of loss renewals were highly competitive with rates down 10% to 20%. Despite these headwinds, our underwriting teams leveraged the strength of our platform and trading relationships to source new opportunities that mitigate the impact of the rate pressure in the market. We are growing selectively and focusing on areas where margins are attractive. We continue to like our prospects in most lines of business and, with improving conditions in casualty lines, our agility and ability to create opportunities is an advantage for us in this market. Our diversified reinsurance platform, supported by strong partnerships with brokers and cedants across multiple lines and geographies, further enhance our ability to navigate a competitive environment.

Our mortgage segment continued to deliver a steady level of earnings, generating $1.0 billion of underwriting income in 2025, resulting in the fourth consecutive year exceeding the $1 billion threshold. While lower mortgage rates are beginning to support increased origination activity, the current market is still constrained due to affordability challenges. Underlying fundamentals remained strong and our U.S. market share was stable as industry pricing discipline held. Our team remains focused on underwriting discipline, expense management and enhancing our data and analytical platforms to further optimize the business. The persistency of our in-force U.S. primary mortgage insurance portfolio remained a healthy 81.8% and our delinquency rate remained low. We continue to expect the mortgage segment to serve as a steady diversifying contributor to our overall earnings and generate attractive underwriting income given the high credit quality of our in-force portfolio.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $65.11 at December 31, 2025, a 22.6% increase from $53.11 at December 31, 2024. The growth in book value per share in 2025 primarily reflected strong underwriting and investment returns.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses (which includes, but is not limited to, realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 20.1% for 2025, compared to 22.8% for 2024. Our Operating ROAE was 17.1% for 2025, compared to 18.9% for 2024. Returns for the 2025 period reflected strong underwriting and investment returns.

Column 1Column 2Column 3
ARCH CAPITAL722025 FORM 10-K

Total Return on Investments

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns. See “Comment on Non-GAAP Financial Measures.”

The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:

Arch PortfolioBenchmark Return
Year Ended December 31, 20258.52%8.78%
Year Ended December 31, 20245.08%5.22%

Total return for 2025 primarily reflected the effects of lower bond yields, a weaker U.S. dollar and equity market returns. The portfolio slightly underperformed their benchmark returns, primarily due to the impairment and sale of certain alternative investments accounted for using the equity method. The allocation of our portfolio remained neutral relative to our targeted benchmark. We continue to maintain a relatively short duration on our fixed income portfolio of 3.34 years at December 31, 2025.

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality with a fixed income component matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. It is recalibrated annually. Although the estimated fixed income duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index during the year except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. At December 31, 2025, the fixed income portion of the benchmark had an average credit quality of “A1” by Moody’s and an estimated fixed income duration of 3.18 years.

The benchmark return index included weightings to the following indices:

%
ICE BofA 1-10 Year U.S. Corporate Index26.70
Yield on 3-5 Year U.S. Treasury Index plus 6%17.00
ICE BofA 1-10 Year U.S. Treasury Index15.00
ICE BofA 0-3 Month U.S. Treasury Index3.00
JPM CLOIE Investment Grade6.00
ICE BofA 1-5 Year U.K. Gilt Index5.25
ICE BofA U.S. High Yield Constrained Index5.00
ICE BofA U.S. ABS & CMBS Index4.70
S&P 500 Total Return Index4.50
ICE BofA 3-5 Year US Agency CMO Excluding IO & PO Index3.50
ICE BofA German Government 1-5 Year Index3.25
ICE BofA German Government 5-7 Year Index0.60
ICE BofA 1-5 Year Canada Government Index2.60
ICE BofA 15+ Year Canada Government Index0.30
ICE BofA 1-5 Year Australia Government Index1.90
ICE BofA 5-10 Year Australia Government Index0.45
ICE BofA 1-5 Year Japan Government Index0.25
Total100%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes, but is not limited to, realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, net of income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

Column 1Column 2Column 3
ARCH CAPITAL732025 FORM 10-K

We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on our investments represent other-than-temporary declines in expected recovery values on securities without actual realization. Furthermore, we exclude net realized gains or losses from the acquisition or disposition of subsidiaries, due to their non-recurring nature, such items are not indicative of the performance of, or trends in, our business performance.

The use of the equity method on certain of our investments funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way in which we account for our other investments; and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

Transaction costs and other include integration, advisory, financing, legal, severance, incentive compensation and all other transaction costs directly related to acquisitions. We believe that transaction costs and other, due to their nonrecurring nature, are not indicative of the performance of, or trends in, our business performance.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that

this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies that follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate certain income and expense items which are included in corporate. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments. Effective in the 2025 period, the ‘Other operating expense ratio’ includes ‘Other underwriting income.’

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and

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ARCH CAPITAL742025 FORM 10-K

before investment expenses, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Year Ended December 31,
20252024
Net income available to Arch common shareholders$4,359$4,272
Net realized (gains) losses (1)(464)(197)
Equity in net (income) loss of investments accounted for using the equity method(504)(580)
Net foreign exchange (gains) losses128(75)
Transaction costs and other7581
Income tax expense (benefit) (2)10641
After-tax operating income available to Arch common shareholders$3,700$3,542
Beginning common shareholders’ equity$19,990$17,523
Ending common shareholders’ equity23,37619,990
Average common shareholders’ equity$21,683$18,757
Annualized net income return on average common equity %20.122.8
Annualized operating return on average common equity %17.118.9

(1) Net realized gains or losses include, but is not limited to, realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries.

(2) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

Segment Information

We classify our businesses into three underwriting segments: insurance, reinsurance and mortgage. Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision-makers, the Chief Executive Officer of Arch Capital and the Chief Financial Officer and Treasurer of Arch Capital. The chief operating decision- makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Inter-segment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The following tables set forth our insurance segment’s underwriting results:

Year Ended December 31,
20252024% Change
Gross premiums written$10,435$9,05315.3
Premiums ceded(2,637)(2,179)
Net premiums written7,7986,87413.4
Change in unearned premiums(27)(247)
Net premiums earned7,7716,62717.3
Other underwriting income (1)36
Losses and loss adjustment expenses(4,764)(4,070)
Acquisition expenses(1,496)(1,217)
Other operating expenses(1,172)(995)
Underwriting income$375$3458.7
Underwriting Ratios% Point Change
Loss ratio61.3%61.4%(0.1)
Acquisition expense ratio19.3%18.4%0.9
Other operating expense ratio (2)14.6%15.0%(0.4)
Combined ratio95.2%94.8%0.4

(1) ‘Other underwriting income’ includes revenue earned from underwriting related activities covered under existing service contracts.

(2) The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’ See ‘Comments on Non-GAAP Financial Measures’ for further details.

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The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

Year Ended December 31,
20252024
Amount%Amount%
North America
Property and short-tail specialty$1,32917.0$1,22017.7
Other liability - occurrence1,30216.71,00214.6
Other liability - claims made79310.285812.5
Commercial multi-peril78110.04616.7
Commercial automobile6027.74857.1
Workers compensation5767.45558.1
Other3414.42884.2
Total North America5,72473.44,86970.8
International
Property and short-tail specialty$1,10214.1$1,08215.7
Casualty and other97212.592313.4
Total International2,07426.62,00529.2
Total$7,798100.0$6,874100.0

Net premiums written by the insurance segment were 13.4% higher in 2025 than in 2024. Growth in net premiums written primarily reflected the impact of the MCE Acquisition.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20252024
Amount%Amount%
North America
Property and short-tail specialty$1,37317.7$1,16517.6
Other liability - occurrence1,32117.094214.2
Other liability - claims made78610.184312.7
Commercial multi-peril79210.24356.6
Commercial automobile5817.54596.9
Workers compensation5917.65498.3
Other2913.73094.7
Total North America5,73573.84,70271.0
International
Property and short-tail specialty$1,09914.1$1,06116.0
Casualty and other93712.186413.0
Total International2,03626.21,92529.0
Total$7,771100.0$6,627100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 17.3% higher in 2025 than in 2024, reflecting changes in net premiums written over the previous five quarters.

Other Underwriting Income (Loss).

Other underwriting income, which includes revenue earned from underwriting-related activities covered under existing service contracts, was $36 million in 2025, compared to nil in 2024.

Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

Year Ended December 31,
20252024
Current year61.9%61.9%
Prior period reserve development(0.6)%(0.5)%
Loss ratio61.3%61.4%

Current Year Loss Ratio.

The insurance segment’s current year loss ratio in 2025 was consistent with 2024. The 2025 loss ratio included 4.4 points of current year catastrophic event activity, compared to 4.6 points in 2024. The current year loss ratio for the 2025 period also reflected the impact of the MCE Acquisition and changes in mix of business.

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ARCH CAPITAL762025 FORM 10-K

Prior Period Reserve Development.

The insurance segment’s net favorable development was $43 million, or 0.6 points, for 2025, compared to $37 million, or 0.5 points, for 2024. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

The insurance segment’s underwriting expense ratio was 33.9% in 2025, compared to 33.4% in 2024.

Reinsurance Segment

The following tables set forth our reinsurance segment’s underwriting results:

Year Ended December 31,
20252024% Change
Gross premiums written$11,149$11,1120.3
Premiums ceded(3,531)(3,366)
Net premiums written7,6187,746(1.7)
Change in unearned premiums504(504)
Net premiums earned8,1227,24212.2
Other underwriting income (1)1599
Losses and loss adjustment expenses(4,610)(4,327)
Acquisition expenses(1,644)(1,432)
Other operating expenses(469)(270)
Underwriting income$1,558$1,22227.5
Underwriting Ratios% Point Change
Loss ratio56.8%59.7%(2.9)
Acquisition expense ratio20.2%19.8%0.4
Other operating expense ratio (2)3.8%3.7%0.1
Combined ratio80.8%83.2%(2.4)

(1) ‘Other underwriting income’ includes revenue earned from underwriting related activities covered under existing service contracts.

(2) The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’ See ‘Comments on Non-GAAP Financial Measures’ for further details.

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

Year Ended December 31,
20252024
Amount%Amount%
Specialty$2,54333.4$2,84936.8
Property excluding property catastrophe2,04326.82,26429.2
Casualty1,50719.81,22215.8
Property catastrophe1,07314.195812.4
Marine and aviation3014.03003.9
Other1512.01532.0
Total$7,618100.0$7,746100.0

Net premiums written by the reinsurance segment were 1.7% lower in 2025 than in 2024. The lower level of net premiums written primarily reflected non-renewals and share decreases in the specialty line of business offset, in part, by increases in casualty.

Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20252024
Amount%Amount%
Specialty$2,90635.8$2,61936.2
Property excluding property catastrophe2,25227.72,14829.7
Casualty1,43217.61,08815.0
Property catastrophe1,06513.195913.2
Marine and aviation3173.92763.8
Other1501.81522.1
Total$8,122100.0$7,242100.0

Net premiums earned in 2025 were 12.2% higher than in 2024, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.

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ARCH CAPITAL772025 FORM 10-K

Other Underwriting Income (Loss).

Other underwriting income, which includes revenue earned from underwriting-related activities covered under existing service contracts was $159 million in 2025, compared to $9 million in 2024.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

Year Ended December 31,
20252024
Current year60.8%62.3%
Prior period reserve development(4.0)%(2.6)%
Loss ratio56.8%59.7%

Current Year Loss Ratio.

The reinsurance segment’s current year loss ratio was 1.5 points lower in 2025 than in 2024. The 2025 loss ratio included 8.5 points for current year catastrophic event activity, primarily related to the California wildfires, compared to 11.8 points in 2024, primarily related to Hurricanes Milton, Helene and a series of other global events. The current year loss ratio for 2025 also reflected changes in mix of business.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $322 million, or 4.0 points, for 2025, compared to $188 million, or 2.6 points, for 2024, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the reinsurance segment was 24.0% in 2025, compared to 23.5% in 2024. The increase in the 2025 period primarily reflected lower profit and sliding scale commissions on ceded business.

Mortgage Segment

The following tables set forth our mortgage segment’s underwriting results.

Year Ended December 31,
20252024% Change
Gross premiums written$1,305$1,351(3.4)
Premiums ceded(245)(239)
Net premiums written1,0601,112(4.7)
Change in unearned premiums112119
Net premiums earned1,1721,231(4.8)
Other underwriting income (1)2217
Losses and loss adjustment expenses455
Acquisition expenses(13)(2)
Other operating expenses(185)(207)
Underwriting income$1,000$1,094(8.6)
Underwriting Ratios% Point Change
Loss ratio(0.4)%(4.4)%4.0
Acquisition expense ratio1.1%0.2%0.9
Other operating expense ratio (2)13.9%16.8%(2.9)
Combined ratio14.6%12.6%2.0

(1) ‘Other underwriting income’ includes revenue earned from underwriting related activities covered under existing service contracts.

(2) The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’ See ‘Comments on Non-GAAP Financial Measures’ for further details.

Net Premiums Written.

The following table sets forth our mortgage segment’s net premiums written by underwriting unit:

Year Ended December 31,
20252024
U.S. primary mortgage insurance$779$820
U.S. credit risk transfer (CRT) and other207212
International mortgage insurance/reinsurance7480
Total$1,060$1,112

Net premiums written for 2025 were 4.7% lower than in 2024. The reduction in net premiums written in the 2025 period primarily reflected lower gross premiums written and expenses related to tender offers of certain Bellemeade Re mortgage insurance linked notes.

The persistency rate of the U.S. primary portfolio of mortgage loans was 81.8% at December 31, 2025 compared to 82.1% at December 31, 2024. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12 month period that remains in force at the end of such period.

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The following tables provide details on the new insurance written (“NIW”) generated by U.S. primary mortgage insurance operations. NIW represents the original principal balance of all loans that received coverage during the period.

Year Ended December 31,
20252024
Amount%Amount%
Total new insurance written (NIW) (1)$48,705$48,479
Credit quality:
=740$37,33576.7$34,02370.2
680-73910,14220.812,80526.4
620-6791,2142.51,6443.4
620140.070.0
Total$48,705100.0$48,479100.0
Loan-to-value (LTV):
95.01% and above$3,3877.0$3,5647.4
90.01% to 95.00%21,56844.324,83751.2
85.01% to 90.00%16,52533.914,73530.4
85.01% and below7,22514.85,34311.0
Total$48,705100.0$48,479100.0
Monthly vs. single:
Monthly$46,19694.8$45,58994.0
Single2,5095.22,8906.0
Total$48,705100.0$48,479100.0
Purchase vs. refinance:
Purchase$44,38791.1$46,95296.9
Refinance4,3188.91,5273.1
Total$48,705100.0$48,479100.0

(1)Represents the original principal balance of all loans that received coverage during the period.

Net Premiums Earned.

The following table sets forth our mortgage segment’s net premiums earned by underwriting unit:

Year Ended December 31,
20252024
U.S. primary mortgage insurance$802$845
U.S. credit risk transfer (CRT) and other207213
International mortgage insurance/reinsurance163173
Total$1,172$1,231

Net premiums earned for 2025 were 4.8% lower than in 2024, reflecting changes in net premiums written over the previous five quarters.

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions services, was $22 million for 2025, compared to $17 million for 2024.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

Year Ended December 31,
20252024
Current year19.8%18.6%
Prior period reserve development(20.2)%(23.0)%
Loss ratio(0.4)%(4.4)%

Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on U.S. primary mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2025 or 2024.

Current Year Loss Ratio.

The mortgage segment’s current year loss ratio was 1.2 points higher in 2025 compared to 2024. The higher current year loss ratio in 2025 period reflected slightly higher new delinquencies and the impact of the Bellemeade Re tender offers noted above. The percentage of loans in default on U.S. primary mortgage insurance increased from 2.09% at December 31, 2024 to 2.17% at December 31, 2025.

We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.

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Prior Period Reserve Development.

The mortgage segment’s net favorable development was $235 million, or 20.2 points, for 2025, compared to $282 million, or 23.0 points, for 2024. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the mortgage segment was 15.0% for 2025, compared to 17.0% for 2024. The decrease in the 2025 period primarily reflects a lower headcount as a result of the 2024 voluntary separation program.

Corporate

The Company’s corporate results include net investment income, net realized gains or losses (which includes, but is not limited to, realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, other income or loss, corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income from operating affiliates and items related to our non-cumulative preferred shares.

Net Investment Income.

The components of net investment income were derived from the following sources:

Year Ended December 31,
20252024
Fixed maturities$1,465$1,266
Short-term investments102144
Equity securities (dividends)4140
Other (1)109136
Gross investment income1,7171,586
Investment expenses (2)(92)(91)
Net investment income$1,625$1,495

(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.

(2)    Investment expenses were approximately 0.23% of average invested assets for 2025, compared to 0.26% for 2024.

The pre-tax investment income yield was 4.11% for 2025, compared to 4.25% for 2024. The pre-tax investment income yields were calculated based on amortized cost. Net cash flow from operating activities contributed $6.2 billion in 2025, which increased our invested asset base and contributed to the growth in net investment income. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.

Net Realized Gains or Losses.

We recorded net realized gains of $464 million for 2025, compared to net realized gains of $197 million for 2024. Amounts in both periods reflected sales of investments as well as the impact of financial market movements on the Company’s equity securities and investments accounted for under the fair value option method. Amounts in the 2025 period also include losses related to the impairment and sale of certain alternative investments accounted for under the equity method. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets, net impairment losses recognized in earnings and gains or losses realized from the acquisition or disposition of subsidiaries. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Expected Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.

We recorded $504 million of equity in net income related to investments accounted for using the equity method for 2025, compared to $580 million for 2024. Investments accounted for using the equity method totaled $6.5 billion at December 31, 2025, compared to $6.0 billion at December 31, 2024. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.

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ARCH CAPITAL802025 FORM 10-K

Other Income or Losses

Other income for 2025 was $54 million, compared to $42 million for 2024. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.

Corporate Expenses.

Corporate expenses were $57 million for 2025, compared to $119 million for 2024. Such expenses primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company. The 2025 period reflected Bermuda substance-based tax credits enacted in December 2025 with retroactive effect to January 1, 2025.

Transaction Costs and Other.

Transaction costs and other were $75 million for 2025, compared to $81 million for 2024. The amounts for both the 2025 and 2024 periods primarily reflect direct costs related to the MCE Acquisition and ongoing integration efforts.

Amortization of Intangible Assets.

Amortization of intangible assets for 2025 was $193 million, compared to $235 million for 2024. Amounts in both 2025 and 2024 primarily related to amortization of finite-lived intangible assets acquired as part of the MCE Acquisition.

Interest Expense.

Interest expense was $148 million for 2025, compared to $141 million for 2024. Interest expense primarily reflects amounts related to our outstanding senior notes.

Net Foreign Exchange Gains or Losses.

Net foreign exchange losses for 2025 were $128 million, compared to net foreign exchange gains for 2024 of $75 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income before income taxes resulted in an expense of 14.7% for 2025, compared to an expense of 7.7% for 2024. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. The increase in the 2025 period is primarily attributed to the enactment of the Corporate Income Tax Act 2023 by the Government of Bermuda, which established a 15% corporate income tax effective January 1, 2025. See

note 15, “Income Taxes,” to our consolidated financial statements in Item 8.

Income (Loss) from Operating Affiliates.

We recorded $180 million of net income from our operating affiliates in 2025, compared to $200 million in 2024. Amounts in both periods primarily reflected amounts related to our investments in Somers Group Holdings Ltd. and Coface SA. See note 9, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES

The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.

Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

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ARCH CAPITAL812025 FORM 10-K

At December 31, 2025 and 2024, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

December 31,
20252024
Insurance segment:
Case reserves$3,489$3,730
IBNR reserves9,2518,238
Total net reserves12,74011,968
Reinsurance segment:
Case reserves2,9292,721
Additional case reserves1,034806
IBNR reserves7,3495,580
Total net reserves11,3129,107
Mortgage segment:
Case reserves324331
IBNR reserves117142
Total net reserves441473
Total:
Case reserves6,7426,782
Additional case reserves1,034806
IBNR reserves16,71713,960
Total net reserves$24,493$21,548

At December 31, 2025 and 2024, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20252024
Third party occurrence business$4,610$4,104
Multi-line and other specialty4,3454,105
Third party claims-made business2,8612,630
Property, energy, marine and aviation9241,129
Total net reserves$12,740$11,968

At December 31, 2025 and 2024, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20252024
Casualty$3,823$3,089
Specialty3,6582,791
Property excluding property catastrophe2,1071,778
Property catastrophe953845
Marine and aviation582461
Other189143
Total net reserves$11,312$9,107

At December 31, 2025 and 2024, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20252024
U.S. primary mortgage insurance$321$333
U.S. credit risk transfer (CRT) and other6485
International mortgage insurance/reinsurance5655
Total net reserves$441$473

Potential Variability in Loss Reserves

The following tables summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2025 by underwriting segment and reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the lines of business included in each reserving line.

The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2025, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2025, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our Loss Reserves, on a net basis and across all accident years.

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ARCH CAPITAL822025 FORM 10-K
INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Multi-line and other specialty10 points6 months
Third party occurrence business106
Third party claims-made business106
Property, energy, marine and aviation53
Increase (decrease) in Loss Reserves:
Multi-line and other specialty$600$370
Third party occurrence business453248
Third party claims-made business244275
Property, energy, marine and aviation61129
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Multi-line and other specialty(10) points(6) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Property, energy, marine and aviation(5)(3)
Increase (decrease) in Loss Reserves:
Multi-line and other specialty$(581)$(296)
Third party occurrence business(451)(215)
Third party claims-made business(244)(216)
Property, energy, marine and aviation(54)(108)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$361$378
Specialty310232
Property excluding property catastrophe106237
Property catastrophe4265
Marine and aviation2550
Other119
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(361)$(270)
Specialty(311)(295)
Property excluding property catastrophe(106)(229)
Property catastrophe(42)(36)
Marine and aviation(25)(53)
Other(11)(8)

It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2025 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.

For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2025 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 30% of the unpaid principal balance at December 31, 2025), we estimated that our loss reserves would change by approximately $15 million at December 31, 2025. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 22% at December 31, 2025), we estimated a $20 million change in our loss reserves at December 31, 2025.

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Simulation Results

In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.

At December 31, 2025, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:

Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss Reserves (1)$12,740$11,312$441$24,493
Simulation results:
90th percentile (2)$15,138$13,866$528$28,996
10th percentile (3)$10,455$8,951$360$20,236

(1)    Net of reinsurance recoverables.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.

(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $4.5 billion, or $11.98 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $4.3 billion, or $11.32 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates

and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2025. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”

Mortgage Operations Supplemental Information

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2025 and 2024:

December 31,
20252024
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$286,31859.1$290,43558.0
U.S. credit risk transfer (CRT) and other132,20527.3145,89229.1
International mortgage insurance/reinsurance66,08413.664,82212.9
Total$484,607100.0$501,149100.0
Risk In Force (RIF) (2):
U.S. primary mortgage insurance$74,67985.0$76,03485.3
U.S. credit risk transfer (CRT) and other5,3586.15,8766.6
International mortgage insurance/reinsurance7,8648.97,2158.1
Total$87,901100.0$89,125100.0

(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.

(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions. Such amounts are shown before external reinsurance.

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ARCH CAPITAL842025 FORM 10-K

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2025:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2015 and prior$16,1435.6$4,1175.55.31%
20163,2411.18061.13.57%
20174,2501.51,1271.53.87%
20185,6732.01,4792.04.48%
201910,5533.72,7703.73.08%
202030,96810.88,48711.41.85%
202150,14117.513,76718.41.88%
202249,49217.313,23617.71.87%
202331,04910.88,00610.71.93%
202439,30613.79,84013.21.17%
202545,50215.911,04414.80.20%
Total$286,318100.0$74,679100.02.17%

(1)Represents the ending percentage of loans in default.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2024:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2015 and prior$18,3296.3$4,6706.15.85%
20165,2401.81,3711.83.23%
20175,5541.91,4892.03.52%
20187,0812.41,8432.44.31%
201912,9194.43,3864.52.85%
202039,42613.610,71814.11.52%
202162,38221.516,62021.91.52%
202257,17519.715,11319.91.51%
202336,82712.79,47912.51.12%
202445,50215.711,34514.90.30%
Total$290,435100.0$76,034100.02.09%

(1)Represents the ending percentage of loans in default.

The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2025 and 2024:

December 31,
20252024
Amount%Amount%
Credit quality:
=740$47,75763.9$47,36062.3
680-73923,27131.224,68832.5
620-6793,3404.53,6384.8
6203110.43480.5
Total$74,679100.0$76,034100.0
Weighted average credit score749748
Loan-to-Value (LTV):
95.01% and above$7,3149.8$7,4209.8
90.01% to 95.00%44,49459.645,31159.6
85.01% to 90.00%20,19527.020,63727.1
85.00% and below2,6763.62,6663.5
Total$74,679100.0$76,034100.0
Weighted average LTV93.2%93.2%
Total RIF, net of external reinsurance$60,259$60,085
December 31,
20252024
Amount%Amount%
Total RIF by State:
California$5,9017.9$5,9897.9
Texas5,3827.25,6137.4
North Carolina3,3434.53,3554.4
Minnesota3,1294.23,1084.1
Illinois3,0424.13,0564.0
Georgia3,0054.03,1434.1
Michigan2,8163.82,8553.8
Massachusetts2,7803.72,8853.8
Florida2,6723.62,8243.7
Ohio2,6663.62,7163.6
Others39,94353.540,49053.3
Total$74,679100.0$76,034100.0
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ARCH CAPITAL852025 FORM 10-K

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2025 and 2024:

(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20252024
Rollforward of insured loans in default:
Beginning delinquent number of loans22,98219,457
New notices47,37845,785
Cures(46,057)(43,506)
Paid claims(1,318)(1,279)
Acquired delinquent loans (1)2,525
Ending delinquent number of loans (2)22,98522,982
Ending number of policies in force (2)1,058,9071,100,653
Delinquency rate (2)2.17%2.09%
Losses:
Number of claims paid1,3181,279
Total paid claims$53,504$43,895
Average per claim$40.6$34.3
Severity (3)76.9%71.6%
Average reserve per default (in thousands) (2)$15.3$15.3

(1)    Represents delinquent loans related to the acquisition of RMIC Companies, Inc.

(2)    Includes first lien primary and pool policies.

(3)    Represents total direct first lien paid claims divided by RIF of loans for which claims were paid, excluding paid claim settlements.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 8.2 to 1 at December 31, 2025, compared to 7.8 to 1 at December 31, 2024.

Ceded Reinsurance

In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the

underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.

The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”

For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 28.0% of gross premiums written for 2025, compared to 26.9% for 2024. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.

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We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have the unilateral power to direct those activities that are significant to its economic performance. See note 12, “Variable Interest Entities” to our consolidated financial statements in Item 8 for additional information.

Premium Revenues and Related Expenses

Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.

Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the

contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.

Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”

The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2025:

December 31, 2025
Gross AmountAcquisition ExpensesNet Amount
Specialty$1,417$(359)$1,058
Casualty547(177)370
Property excluding property catastrophe469(136)333
Marine and aviation237(43)194
Property catastrophe55
Other109(14)95
Total$2,784$(729)$2,055

Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.

A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently

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ARCH CAPITAL872025 FORM 10-K

available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.

Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned in proportion to the period of risk coverage.

Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.

Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.

Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage

insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.

Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.

Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.

Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.

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A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.

No premium deficiency charges were recorded by us during 2025 or 2024.

Net Deferred Income Tax Assets Measurement

Deferred income tax assets and liabilities reflect temporary differences based on enacted tax rates between the carrying amounts of assets and liabilities for financial reporting and income tax purposes. We determine deferred tax assets and liabilities separately for each tax-paying component (an individual entity or group of entities that is consolidated for tax purposes) in each tax jurisdiction. There may be changes in tax laws where we transact business that impact our deferred tax assets and liabilities. The most significant deferred income tax assets recognized relate to goodwill and intangible assets. With respect to our Bermuda entities, we estimated the fair value of its intangible assets using discounted cash flow (“DCF”) models. The significant assumptions utilized in the DCF models included the future revenue and profits expected to be generated by the identifiable intangible assets and the discount rates. See note 15, “Income Taxes” to our consolidated financial statements in Item 8 for disclosures concerning our Company’s deferred income tax asset.

Fair Value Measurements

We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2025 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3(u), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

FINANCIAL CONDITION

Investable Assets

At December 31, 2025, total investable assets held by Arch were $47.4 billion.

Investable Assets Held by Arch

The Finance, Investment and Risk Committee (“FIR Committee”) of our Board of Directors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR Committee reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee. At December 31, 2025, approximately $29.5 billion, or 62%, of total investable assets held by Arch were internally managed, compared to $25.6 billion, or 62%, at December 31, 2024.

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The following table summarizes the duration and average credit quality of fixed income assets held by Arch:

December 31,
20252024
Average effective fixed maturities duration (in years)3.343.31
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings by S&P and Moody’s.

The following table provides the credit quality distribution of our fixed maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

Estimated Fair Value% of Total
December 31, 2025
U.S. government and gov’t agencies (1)$9,56128.5
AAA5,66716.9
AA2,5647.6
A6,44819.2
BBB6,53319.5
BB1,3304.0
B7342.2
Lower than B350.1
Not rated6642.0
Total$33,536100.0
December 31, 2024
U.S. government and gov’t agencies (1)$7,49826.9
AAA4,33015.5
AA2,2858.2
A5,13818.4
BBB6,46723.2
BB9783.5
B4581.6
Lower than B280.1
Not rated7072.5
Total$27,889100.0

(1)Includes U.S. government-sponsored agency residential mortgage backed securities and agency commercial mortgage backed securities.

The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all fixed maturities which were in an unrealized loss position:

Severity of gross unrealized losses:Estimated Fair ValueGross Unrealized Losses% of Total Gross Unrealized Losses
December 31, 2025
0-10%$11,702$(202)69.9
10-20%556(80)27.7
20-30%20(6)2.1
Greater than 30%1(1)0.3
Total$12,279$(289)100.0
December 31, 2024
0-10%$16,044$(453)65.5
10-20%1,357(216)31.2
20-30%70(20)2.9
Greater than 30%6(3)0.4
Total$17,477$(692)100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2025, excluding guaranteed amounts and covered bonds:

Estimated Fair ValueCredit Rating (1)
Morgan Stanley$449A/A1
JPMorgan Chase & Co.433A/A1
Bank of America Corporation342A-/A1
The Goldman Sachs Group, Inc.307BBB+/A2
Wells Fargo & Company263BBB+/A1
Citigroup Inc.211A-/A2
The Toronto-Dominion Bank191A-/A2
UBS Group AG179A-/A2
Philip Morris International Inc.160A-/A2
Ford Motor Company140BBB-/Ba1
Total$2,675

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset backed securities (“ABS”):

AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2025
RMBS$2,105$600$$2,705
CMBS61,129771,212
ABS3,3682063,574
Total$2,111$5,097$283$7,491
Dec. 31, 2024
RMBS$769$310$$1,079
CMBS7959921,058
ABS2,6672332,900
Total$776$3,936$325$5,037

The following table summarizes our equity securities, which include investments in exchange traded funds:

December 31,
20252024
Equities (1)$1,296$1,041
Exchange traded funds
Fixed income (2)316428
Equity and other (3)257213
Total$1,869$1,682

(1)Primarily in technology, communications, consumer non-cyclical, financial and industrials at December 31, 2025.

(2)Primarily in structured and corporates at December 31, 2025.

(3)Primarily in technology, financials, communications, consumer cyclical and healthcare sectors at December 31, 2025.

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and fixed income duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2025 and 2024 segregated by level in the fair value hierarchy.

Reinsurance Recoverables

The following table details our reinsurance recoverables at December 31, 2025:

% of TotalA.M. Best Rating (1)
Somers Re Ltd. (2)20.5A-
Lloyd’s syndicates (3)4.9A+
Hannover Rück SE4.1A+
Munich Re Group2.9A+
RenaissanceRe Holdings Ltd.2.4A+
Swiss Reinsurance Company Ltd.2.1A+
Everest Group Ltd.1.9A+
Allianz1.5A+
AXIS Capital Holdings Limited1.5A
Transatlantic Reinsurance Company1.4A++
All other -- “A-” or better18.9
All other -- not rated (4)37.9
Total100.0

(1)    The financial strength ratings are as of January 5, 2026 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A++” and “A+” are designated “Superior”; and the “A” and “A-” ratings are designated “Excellent.”

(2)    See note 16, “Transactions with Related Parties.”

(3)    The A.M. Best group rating of “A+” (Superior) has been applied to all Lloyd’s syndicates.

(4)    Over 96% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses

We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1, “Business—Reserves” for further details.

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Shareholders’ Equity and Book Value per Share

The following table presents the calculation of book value per share:

(U.S. dollars in millions, except per share data)December 31,
20252024
Total shareholders’ equity available to Arch$24,206$20,820
Less preferred shareholders’ equity830830
Common shareholders’ equity available to Arch$23,376$19,990
Common shares and common share equivalents outstanding, net of treasury shares (1)359.0376.4
Book value per share$65.11$53.11

(1)    Excludes the effects of 10.2 million and 12.4 million stock options and 0.3 million and 0.3 million restricted and performance share units outstanding at December 31, 2025 and 2024, respectively.

LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

In 2025, Arch Capital received dividends of $2.0 billion from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer. Arch Re Bermuda can pay approximately $6.4 billion to Arch Capital in 2026 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).

Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that

may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.

We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities, for the next twelve months, at a minimum.

Dividend Restrictions

Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory

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standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.

We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.

In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets

Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2025 and 2024, such amounts approximated $15.0 billion and $13.0 billion, respectively.

Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $3.7 billion at December 31, 2025 and

are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities:

Year Ended December 31,
20252024
Total cash provided by (used for):
Operating activities$6,172$6,673
Investing activities(4,036)(4,461)
Financing activities(1,890)(1,925)
Effects of exchange rate changes on foreign currency cash61(25)
Increase (decrease) in cash$307$262

Cash provided by operating activities in 2025 was lower than in 2024. Activity in the 2025 period primarily reflected a higher level of losses paid than in the 2024 period.

Cash used for investing activities in 2025 reflected lower net purchases than in 2024, due in part to a higher level of losses paid than in the 2024 period. Activity in 2024 also reflected $852 million of net cash received related to the MCE Acquisition.

Cash used for financing activities in 2025 was lower than in 2024. Activity in 2025 consisted of $1.9 billion of share repurchases under our share repurchase program, while activity in 2024 included a $1.9 billion special dividend paid to common shareholders.

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Investments

At December 31, 2025, our investable assets were $47.4 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities. See Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

December 31,
20252024
Senior notes$2,729$2,728
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330330
Series G non-cumulative preferred shares500500
Common shareholders’ equity23,37619,990
Total$24,206$20,820
Total capital available to Arch$26,935$23,548
Senior notes to total capital (%)10.111.6
Revolving credit agreement borrowings to total capital (%)
Debt to total capital (%)10.111.6
Preferred to total capital (%)3.13.5
Debt and preferred to total capital (%)13.215.1

See note 19, “Debt and Financing Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

Capital Adequacy

We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.

In addition, Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (together, “eligible mortgage insurer”) are required to maintain compliance with the GSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Together, our eligible mortgage insurers satisfied the PMIERs’ financial requirements as of December 31, 2025 with a PMIER sufficiency ratio of 179%, compared to 186% at December 31, 2024. On August 21, 2024, Fannie Mae and Freddie Mac (collectively the GSEs) each updated their PMIERs to incorporate new deductions to available assets for investment risk. This update became effective on March 31, 2025, but the impact will be phased in through September 30, 2026. If the GSEs had fully implemented this update to PMIERs as of December 31, 2025, the changes would have reduced the available assets by 6% and resulted in a pro-forma PMIERs sufficiency ratio of 173%.

As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). We may also seek to retire or purchase our outstanding debt through cash purchases and/or exchanges for equity or debt, in open-market purchases, privately negotiated transactions or

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otherwise. Any such determination will be at the discretion of the Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements, prevailing market conditions and such other factors as our Board deems relevant. The amounts involved may be material.

To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.

Share Repurchase Program

Our Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2025, Arch Capital has repurchased approximately 455.0 million common shares for an aggregate purchase price of $7.8 billion. At December 31, 2025, $1.1 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market. The timing and

amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.

GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at December 31, 2025:

InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350%$300$298
June 30, 20503.635%1,000990
Arch-U.S.:
Nov. 1, 2043 (1)5.144%500496
Arch Finance:
Dec. 15, 2026 (1)4.011%500499
Dec. 15, 2046 (1)5.031%450446
Total$2,750$2,729

(1) Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.

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During 2025 and 2024, we made interest payments of $127 million and $127 million, respectively, primarily related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.

The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

December 31,
December 31, 2025December 31, 2024
Arch CapitalArch- U.S.Arch CapitalArch- U.S.
Assets
Total investments$40$442$43$549
Cash134135
Investment in operating affiliates33
Due from subsidiaries and affiliates1614610
Other assets19412966101
Total assets$266$589$131$665
Liabilities
Senior notes1,2884961,287495
Due to subsidiaries and affiliates699311994
Other liabilities41584850
Total liabilities1,3351,5471,3461,539
Non-cumulative preferred shares$830$$830$
Year Ended
December 31, 2025December 31, 2024
Arch CapitalArch- U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$3$27$5$14
Net realized gains (losses)(10)(1)(4)
Equity in net income (loss) of investments accounted for using the equity method(4)
Total revenues(7)26110
Expenses
Corporate expenses57101167
Interest expense59265926
Interest expense (intercompany)5853
Total expenses1169417586
Income (loss) before income taxes(123)(68)(174)(76)
Income tax (expense) benefit58922
Income (loss) from operating affiliates(1)(1)
Net income available to Arch(66)(59)(175)(54)
Preferred dividends(40)(40)
Net income available to Arch common shareholders$(106)$(59)$(215)$(54)
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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2025:

Payment due by period
Total20262027 and 20282029 and 2030Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$33,547$9,960$10,880$5,122$7,585
Contractholder payables (2)2,277741770318448
Operating lease obligations23434655085
Purchase obligations30716012423
Contingent and deferred consideration liabilities18684
Investing activities
Unfunded investment commitments (3)3,6793,679
Financing activities
Senior notes (including interest payments)4,7886272142143,733
Total contractual obligations and commitments$44,850$15,207$12,061$5,731$11,851

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(3)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.

Letter of Credit and Revolving Credit Facilities

Arch Capital and certain of its subsidiaries have access to a credit facility with a syndicate of financial institutions (the “Group Credit Facility”) that expires on August 23, 2028. The Group Credit Facility consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2025, the Secured Facility had $224 million of letters of credit outstanding and remaining capacity of $201 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.

The Group Credit Facility contains certain restrictive and maintenance covenants customary for facilities of this type, including restrictions on indebtedness, minimum consolidated tangible net worth, maximum leverage levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2025.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.

RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.

If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies

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to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.

The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.

CATASTROPHIC AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Man-made catastrophic events may include acts of war, acts of terrorism and political instability. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.

We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.

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For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.

Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2026, our modeled peak zone catastrophe exposure was a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $1.9 billion, followed by windstorms affecting the Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $1.7 billion and $1.5 billion, respectively. As of January 1, 2026, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 51% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (German windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. and Australian mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2026, our modeled RDS loss was $931 million, or 4.1% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors. These factors include the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

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ARCH CAPITAL992025 FORM 10-K

MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2025. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.

The sensitivity analysis performed as of December 31, 2025 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2025 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.

The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income

Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2025 and 2024:

(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2025
Total fair value$45.8$45.2$44.6$44.0$43.3
Change from base2.8%1.4%(1.4)%(2.8)%
Change in unrealized value$1.2$0.6$(0.6)$(1.2)
Dec. 31, 2024
Total fair value$40.0$39.5$38.9$38.4$37.9
Change from base2.8%1.4%(1.4)%(2.7)%
Change in unrealized value$1.1$0.5$(0.5)$(1.1)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2025 and 2024:

(U.S. dollars in billions)Credit Spread Shift in Percentage
-100-50-+50+100
Dec. 31, 2025
Total fair value$45.8$45.2$44.6$44.0$43.3
Change from base2.8%1.4%(1.4)%(2.8)%
Change in unrealized value$1.2$0.6$(0.6)$(1.2)
Dec. 31, 2024
Total fair value$40.0$39.5$38.9$38.4$37.8
Change from base2.8%1.4%(1.4)%(2.8)%
Change in unrealized value$1.1$0.5$(0.5)$(1.1)
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ARCH CAPITAL1002025 FORM 10-K

Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2025, our portfolio’s 95th percentile VaR was estimated to be 6.5%, compared to an estimated 5.6% at December 31, 2024. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.

Equity Securities. At December 31, 2025 and 2024, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $1.8 billion and $1.5 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $178 million and $149 million at December 31, 2025 and 2024, respectively, and would have decreased book value per share by approximately $0.50 and $0.40, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $178 million and $149 million at December 31, 2025 and 2024, respectively, and would have increased book value per share by approximately $0.50 and $0.40, respectively.

Investment-Related Derivatives. At December 31, 2025, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $8.0 billion, compared to $5.0 billion at December 31, 2024. If the underlying exposure of each investment-related derivative held at December 31, 2025 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $80 million, and a decrease in book value per share of $0.22, compared to $50 million and $0.13, respectively, on investment-related derivatives held at December 31, 2024. If the underlying exposure of each investment-related derivative held at December 31, 2025 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $80 million, and an increase in book value per share of $0.22, compared to $50 million and $0.13, respectively, on investment-related

derivatives held at December 31, 2024. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “Financial Condition—Investable Assets.”

Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

(U.S. dollars in millions, except per share data)December 31, 2025December 31, 2024
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(498)$(815)
Shareholders’ equity denominated in foreign currencies (1)1,2201,120
Net foreign currency forward contracts outstanding (2)478453
Net exposures denominated in foreign currencies$1,200$758
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity$(120)$(76)
Book value per share$(0.33)$(0.20)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity$120$76
Book value per share$0.33$0.20

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

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ARCH CAPITAL1012025 FORM 10-K

Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”

Effects of Inflation

General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events, for the development of inflationary pressures in a local economy. This risk may be heightened from time to time by geopolitical tensions, global supply chain disruptions, tariffs, and other contributing factors. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will vary by the specific type of inflation affecting each line of business.

MD&A history

Prior-year 10-K MD&A spans are extracted from SEC filings with the same bounded parser used for the latest filing. The latest 10-K appears above; prior years are below.

FY 2024 10-K MD&A

SEC filing source: 0000947484-25-000017.

Extracted structurally from real Item 7 body heading to real Item 7A/8 boundary. Confidence: high. Filing date: 2025-02-27. Report date: 2024-12-31.

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2024 and 2023. Comparisons between 2023 and 2022 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2023 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”

This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. All amounts are in millions, except per share amounts, unless otherwise noted.

Page No.
Overview68
Current Outlook68
Financial Measures69
Comments on Non-GAAP Measures70
Results of Operations72
Insurance Segment72
Reinsurance Segment74
Mortgage Segment75
Corporate76
Summary of Critical Accounting Estimates78
Financial Condition86
Liquidity88
Capital Resources90
Contractual Obligations and Commitments93
Ratings93
Catastrophic Events and Severe Economic Events94
Market Sensitive Instruments and Risk Management95
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ARCH CAPITAL672024 FORM 10-K

OVERVIEW

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $23.5 billion in capital at December 31, 2024 and is part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, experienced management team and strong capital base enable us to establish a strong presence in the markets where we operate.

The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, narrow terms and conditions, and strong underwriting profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a “soft” market, which has characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and lower underwriting profits for insurers. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.

The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.

Mortgage insurance and reinsurance are subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.

CURRENT OUTLOOK

As we head into 2025, our objective to deliver long-term value for our shareholders remains the same. We will continue to execute on the key pillars of our strategy which are: to build a diversified mix of businesses; actively manage the underwriting cycle; remain prudent stewards of the capital entrusted to us by our shareholders; and be dynamic managers of a data-driven enterprise with a culture that attracts best-in-class talent. Book value per share, a key measure of value creation, ended 2024 at $53.11, representing a 13.1% increase for the year and up 23.8% after adjusting for the impact of the $5 per share special dividend paid to common shareholders in December 2024. The decision to pay a special dividend was the result of Arch's strong financial performance and capital position and represented an effective means of returning excess capital to our shareholders.

Overall, we believe the property and casualty environment remains favorable, despite increasing competition in many of our lines of business. This makes underwriting and risk mitigation increasingly important. Our underwriting strategies empower our businesses to respond quickly to their trading environment. This has been, and remains, a competitive advantage as we have the agility and expertise to reallocate capital to more profitable opportunities across our diversified platform. We are selectively deploying capital to the areas producing attractive risk-adjusted returns, such as insurance and reinsurance liability lines, specialty business at Lloyd's and property catastrophe reinsurance.

A high level of industry catastrophic losses throughout 2024, combined with the California wildfires at the start of 2025, should continue to support demand for property insurance and reinsurance. Notwithstanding this increased loss activity, we believe the property market remains attractive. On the casualty side, we believe that rates are continuing to outpace loss cost trends, and have selectively increased casualty writings in both our insurance and reinsurance segments.

Our property and casualty underwriting teams continued to benefit from attractive market conditions, delivering a combined $1.6 billion of underwriting income and over $20 billion of gross premiums written in 2024, up nearly 19% from 2023.

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Our reinsurance segment contributed $1.2 billion of underwriting income in 2024, despite the impact of catastrophic events. At the January 1, 2025 renewals, we selectively increased our writings in property, liability and specialty lines with a focus not only on price adequacy, but also terms and conditions. Our underwriting culture dictates that we include a meaningful margin of safety in our pricing, especially given competitive market conditions, and take a longer term view of inflation and rates. As underwriting opportunities arise, our reinsurance segment reacts quickly and significantly when markets pivot.

Our insurance segment also seized on strong growth opportunities in 2024, while elevated catastrophe activity such as Hurricanes Helene and Milton limited underwriting income. For the full year, the insurance group contributed $6.9 billion of net premium written, a 17% increase from 2023 and delivered $0.3 billion of underwriting income. On August 1, 2024, we completed the acquisition of the U.S. MidCorp and Entertainment insurance businesses from Allianz (“MCE Acquisition”). As such, the insurance segment’s 2024 results include five months of activity related to the acquired business. This acquisition expands our capabilities for insureds in the U.S. middle markets and represents an important component of our insurance segment. Excluding the MCE Acquisition, insurance growth was in the mid-single digits and included attractive opportunities in casualty, programs and in the London specialty market. Looking ahead, we expect primary market conditions to remain competitive given the attractive underlying margins, which may result in a slowdown of new business opportunities.

Our mortgage segment continued to deliver a steady level of earnings for our shareholders, generating $1.1 billion of underwriting income in 2024, resulting in the third consecutive year of delivering over $1 billion of underwriting income. While new originations remain tempered by relatively high mortgage interest rates, underlying fundamentals remained strong and our U.S. market share was stable as industry pricing discipline held. The persistency of our in force U.S. primary mortgage insurance portfolio remained a healthy 82.1% and the delinquency rate remained low.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $53.11 at December 31, 2024, a 13.1% increase from $46.94 at December 31, 2023, and an increase of 23.8% when incorporating the impact of the $1.9 billion special dividend paid to common shareholders in December 2024.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 22.8% for 2024, compared to 29.7% for 2023. Our Operating ROAE was 18.9% for 2024, compared to 21.6% for 2023. Returns for 2024 reflected strong underwriting and investment returns, albeit with an elevated level of catastrophe activity.

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ARCH CAPITAL692024 FORM 10-K

Total Return on Investments

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns. See “Comment on Non-GAAP Financial Measures.”

The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:

Arch Portfolio (1)Benchmark Return
Year Ended December 31, 20245.08%5.22%
Year Ended December 31, 20237.57%8.28%

Total return for 2024 primarily reflected the effects of sustained higher interest rates available in the market, along with growth in invested assets due in part to strong operating cash flows. We continue to maintain a relatively short duration on our fixed income portfolio of 3.31 years at December 31, 2024.

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality with a fixed income component matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. It is recalibrated annually. Although the estimated fixed income duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index during the year except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. At December 31, 2024, the fixed income portion of the benchmark had an average credit quality of “A1” by Moody’s and an estimated fixed income duration of 3.18 years.

The benchmark return index included weightings to the following indices:

%
ICE BofA 1-10 Year U.S. Corporate Index27.70
Yield on 3-5 Year U.S. Treasury Index plus 6%17.00
ICE BofA 1-10 Year U.S. Treasury Index15.00
JPM CLOIE Investment Grade6.00
ICE BofA U.S. High Yield Constrained Index6.00
ICE BofA 1-5 Year U.K. Gilt Index5.25
S&P 500 Total Return Index4.75
ICE BofA U.S. ABS & CMBS Index4.50
ICE BofA German Government 1-5 Year Index3.25
ICE BofA German Government 5-7 Year Index0.60
ICE BofA 0-3 Month U.S. Treasury Index3.00
ICE BofA 1-5 Year Canada Government Index2.55
ICE BofA 15+ Year Canada Government Index0.30
ICE BofA 1-5 Year Australia Government Index2.35
ICE BofA U.S. Mortgage Backed Securities Index1.50
ICE BofA 1-5 Year Japan Government Index0.25
Total100.00%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains or losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, net of income taxes (which for the 2023 fourth quarter includes a one-time deferred income tax benefit related to the enactment of Bermuda’s new corporate income tax), and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

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ARCH CAPITAL702024 FORM 10-K

We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization. Furthermore, we exclude net realized gains or losses from the acquisition or disposition of subsidiaries, due to their non-recurring nature, such items are not indicative of the performance of, or trends in, our business performance.

The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other investments and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

Transaction costs and other include integration, advisory, financing, legal, severance, incentive compensation and all other transaction costs directly related to acquisitions. We believe that transaction costs and other, due to their nonrecurring nature, are not indicative of the performance of, or trends in, our business performance.

In the 2023 fourth quarter, the Company established a net deferred income tax asset, resulting in a benefit of $1.18 billion, consistent with the transition provisions specified in the Bermuda CIT Act. Due to the non-recurring nature of this one-time item, the Company believes that excluding this item from after-tax operating income or loss available to common shareholders provides the user with a better evaluation of the Company’s ongoing business performance.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies that follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate certain income and expense items which are included in corporate. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.

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Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Year Ended December 31,
20242023
Net income available to Arch common shareholders$4,272$4,403
Net realized (gains) losses (1)(197)165
Equity in net (income) loss of investments accounted for using the equity method(580)(278)
Net foreign exchange (gains) losses(75)62
Transaction costs and other816
Income tax expense (benefit) (2)41(1,157)
After-tax operating income available to Arch common shareholders$3,542$3,201
Beginning common shareholders’ equity$17,523$12,080
Ending common shareholders’ equity19,99017,523
Average common shareholders’ equity$18,757$14,802
Annualized net income return on average common equity %22.829.7
Annualized operating return on average common equity %18.921.6

(1) Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments, changes in the allowance for credit losses on financial assets and gains or losses realized from the acquisition or disposition of subsidiaries.

(2) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction. The 2023 results were impacted by the establishment of a net deferred income tax asset of $1.18 billion, or $3.10 per share, related to the enactment of Bermuda’s new corporate income tax.

Segment Information

We classify our businesses into three underwriting segments insurance, reinsurance and mortgage. Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer of Arch Capital and the Chief Financial Officer and Treasurer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly, investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The following tables set forth our insurance segment’s underwriting results:

Year Ended December 31,
20242023% Change
Gross premiums written$9,053$7,91114.4
Premiums ceded(2,179)(2,049)
Net premiums written6,8745,86217.3
Change in unearned premiums(247)(416)
Net premiums earned6,6275,44621.7
Losses and loss adjustment expenses(4,070)(3,122)
Acquisition expenses(1,217)(1,055)
Other operating expenses(995)(819)
Underwriting income$345$450(23.3)
Underwriting Ratios% Point Change
Loss ratio61.4%57.3%4.1
Acquisition expense ratio18.4%19.4%(1.0)
Other operating expense ratio15.0%15.0%
Combined ratio94.8%91.7%3.1

The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

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ARCH CAPITAL722024 FORM 10-K

Net Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

Year Ended December 31,
20242023
Amount%Amount%
North America
Property and short-tail specialty$1,22017.7$1,05818.0
Other liability - occurrence1,00214.667611.5
Other liability - claims made85812.585114.5
Workers compensation5558.15259.0
Commercial automobile4857.13916.7
Commercial multi-peril4616.71993.4
Other2884.22955.0
Total North America4,86970.83,99568.2
International
Property and short-tail specialty$1,06515.5$1,04217.8
Casualty and other94013.782514.1
Total International2,00529.21,86731.8
Total$6,874100.0$5,862100.0

Net premiums written by the insurance segment were 17.3% higher in 2024 than in 2023 (7.0% excluding the MCE Acquisition). Growth in net premiums written reflected the impact of the MCE Acquisition along with an increases in most lines of business due in part to new business opportunities and rate changes.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20242023
Amount%Amount%
North America
Property and short-tail specialty$1,16517.6$97617.9
Other liability - occurrence94214.261811.3
Other liability - claims made84312.786615.9
Workers compensation5498.34959.1
Commercial automobile4596.93436.3
Commercial multi-peril4356.61933.5
Other3094.72905.3
Total North America4,70271.03,78169.4
International
Property and short-tail specialty$1,05015.8$88516.3
Casualty and other87513.278014.3
Total International1,92529.01,66530.6
Total$6,627100.0$5,446100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 21.7% higher in 2024 than in 2023 (10.5% excluding the MCE Acquisition), reflecting changes in net premiums written over the previous five quarters.

Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

Year Ended December 31,
20242023
Current year61.9%58.1%
Prior period reserve development(0.5)%(0.8)%
Loss ratio61.4%57.3%

Current Year Loss Ratio.

The insurance segment’s current year loss ratio was 3.8 points higher in 2024 than in 2023. The 2024 loss ratio included 4.6 points of current year catastrophic event activity, primarily related to Hurricanes Helene and Milton, compared to 2.7 points in 2023. The current year loss ratio for 2024 also reflected the impact of rate increases and changes in mix of business.

Prior Period Reserve Development.

The insurance segment’s net favorable development was $37 million, or 0.5 points, for 2024, compared to $42 million, or 0.8 points, for 2023. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

The insurance segment’s underwriting expense ratio was 33.4% in 2024, compared to 34.4% in 2023. The impact of the MCE Acquisition lowered the underwriting expense ratio by approximately 1.6 points, primarily due to the effects of the fair value estimation of the assets acquired at closing, including the non-recognition of deferred acquisition costs. The value of policies in force at closing are considered within the value of business acquired which is amortized through ‘amortization of intangible assets.’ The underwriting expense ratio also benefited from an initial lower level of operating expenses in the acquired business.

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Reinsurance Segment

The following tables set forth our reinsurance segment’s underwriting results:

Year Ended December 31,
20242023% Change
Gross premiums written$11,112$9,11321.9
Premiums ceded(3,366)(2,559)
Net premiums written7,7466,55418.2
Change in unearned premiums(504)(718)
Net premiums earned7,2425,83624.1
Other underwriting income (loss)917
Losses and loss adjustment expenses(4,327)(3,227)
Acquisition expenses(1,432)(1,240)
Other operating expenses(270)(288)
Underwriting income$1,222$1,09811.3
Underwriting Ratios% Point Change
Loss ratio59.7%55.3%4.4
Acquisition expense ratio19.8%21.2%(1.4)
Other operating expense ratio3.7%4.9%(1.2)
Combined ratio83.2%81.4%1.8

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

Year Ended December 31,
20242023
Amount%Amount%
Other specialty$2,84936.8$2,41236.8
Property excluding property catastrophe2,26429.21,91029.1
Casualty1,22215.81,00215.3
Property catastrophe95812.486513.2
Marine and aviation3003.92503.8
Other1532.01151.8
Total$7,746100.0$6,554100.0

Net premiums written by the reinsurance segment were 18.2% higher in 2024 than in 2023. The growth in net premiums written reflected increases in all lines of business, primarily due to new business, rate increases and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20242023
Amount%Amount%
Other specialty$2,61936.2$2,09735.9
Property excluding property catastrophe2,14829.71,64528.2
Casualty1,08815.01,00517.2
Property catastrophe95913.274212.7
Marine and aviation2763.82293.9
Other1522.11182.0
Total$7,242100.0$5,836100.0

Net premiums earned in 2024 were 24.1% higher than in 2023, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.

Other Underwriting Income (Loss).

Other underwriting income in 2024 was $9 million, compared to $17 million in 2023.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

Year Ended December 31,
20242023
Current year62.3%57.9%
Prior period reserve development(2.6)%(2.6)%
Loss ratio59.7%55.3%

Current Year Loss Ratio.

The reinsurance segment’s current year loss ratio was 4.4 points higher in 2024 than in 2023. The 2024 loss ratio included 11.8 points for current year catastrophic event activity related to Hurricanes Milton and Helene, and a series of other global events, compared to 6.8 points in 2023. The current year loss ratio for 2024 also reflected the impact of rate increases and changes in mix of business.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $188 million, or 2.6 points, for 2024, compared to $152 million, or 2.6 points, for 2023, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

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ARCH CAPITAL742024 FORM 10-K

Underwriting Expenses.

The underwriting expense ratio for the reinsurance segment was 23.5% in 2024, compared to 26.1% in 2023, with the decrease primarily due to growth in net premiums earned.

Mortgage Segment

The following tables set forth our mortgage segment’s underwriting results.

Year Ended December 31,
20242023% Change
Gross premiums written$1,351$1,387(2.6)
Premiums ceded(239)(335)
Net premiums written1,1121,0525.7
Change in unearned premiums119106
Net premiums earned1,2311,1586.3
Other underwriting income1714
Losses and loss adjustment expenses55103
Acquisition expenses(2)(17)
Other operating expenses(207)(194)
Underwriting income$1,094$1,0642.8
Underwriting Ratios% Point Change
Loss ratio(4.4)%(8.9)%4.5
Acquisition expense ratio0.2%1.4%(1.2)
Other operating expense ratio16.8%16.8%
Combined ratio12.6%9.3%3.3

Net Premiums Written.

The following table sets forth our mortgage segment’s net premiums written by underwriting unit:

Year Ended December 31,
20242023
U.S. primary mortgage insurance$820$737
U.S. credit risk transfer (CRT) and other212220
International mortgage insurance/reinsurance8095
Total$1,112$1,052

Net premiums written for 2024 were 5.7% higher than in 2023. The increase in net premiums written in 2024 primarily reflected a lower level of premiums ceded to Bellemeade entities.

The persistency rate of the U.S. primary portfolio of mortgage loans was 82.1% at December 31, 2024 compared to 83.6% at December 31, 2023. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.

The following tables provide details on the new insurance written (“NIW”) generated by U.S. primary mortgage insurance operations. NIW represents the original principal balance of all loans that received coverage during the period.

Year Ended December 31,
20242023
Amount%Amount%
Total new insurance written (NIW) (1)$48,479$43,531
Credit quality (FICO):
=740$34,02370.2$28,52765.5
680-73912,80526.413,83231.8
620-6791,6443.41,1642.7
62070.080.0
Total$48,479100.0$43,531100.0
Loan-to-value (LTV):
95.01% and above$3,5647.4$2,5825.9
90.01% to 95.00%24,83751.224,29955.8
85.01% to 90.00%14,73530.412,16027.9
85.01% and below5,34311.04,49010.3
Total$48,479100.0$43,531100.0
Monthly vs. single:
Monthly$45,58994.0$41,51595.4
Single2,8906.02,0164.6
Total$48,479100.0$43,531100.0
Purchase vs. refinance:
Purchase$46,95296.9$42,82298.4
Refinance1,5273.17091.6
Total$48,479100.0$43,531100.0

(1)Represents the original principal balance of all loans that received coverage during the period.

Net Premiums Earned.

The following table sets forth our mortgage segment’s net premiums earned by underwriting unit:

Year Ended December 31,
20242023
U.S. primary mortgage insurance$845$759
U.S. credit risk transfer (CRT) and other213220
International mortgage insurance/reinsurance173179
Total$1,231$1,158

Net premiums earned for 2024 were 6.3% higher than in 2023, reflecting changes in net premiums written over the previous five quarters.

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ARCH CAPITAL752024 FORM 10-K

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions services and our whole mortgage loan purchase and sell program, was $17 million for 2024, compared to $14 million for 2023.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

Year Ended December 31,
20242023
Current year18.6%20.8%
Prior period reserve development(23.0)%(29.7)%
Loss ratio(4.4)%(8.9)%

Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on U.S. primary mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2024 or 2023.

Current Year Loss Ratio.

The mortgage segment’s current year loss ratio was 2.2 points lower in 2024 compared to 2023. The lower current year loss ratio for 2024 reflected a lower average case reserve per default. The percentage of loans in default on U.S. primary mortgage insurance increased from 1.74% at December 31, 2023 to 2.09% at December 31, 2024.

We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from

government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.

Prior Period Reserve Development.

The mortgage segment’s net favorable development was $282 million, or 23.0 points, for 2024, compared to $344 million, or 29.7 points, for 2023. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the mortgage segment was 17.0% for 2024, compared to 18.2% for 2023. The decrease was primarily due to a lower level of profit commissions on U.S. primary business, along with a higher level of net premiums earned.

Corporate

The corporate results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items (which for 2023 reflects the establishment of a net deferred income tax asset related to the enactment of Bermuda’s new corporate income tax), income from operating affiliates and items related to our non-cumulative preferred shares.

Net Investment Income.

The components of net investment income were derived from the following sources:

Year Ended December 31,
20242023
Fixed maturities$1,266$917
Short-term investments14468
Equity securities4022
Other (1)13693
Gross investment income1,5861,100
Investment expenses (2)(91)(77)
Net investment income$1,495$1,023

(1)    Includes interest income on operating cash, distributions from investment funds and other items.

(2)    Investment expenses were approximately 0.26% of average invested assets for 2024, consistent with 0.26% for 2023.

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ARCH CAPITAL762024 FORM 10-K

The pre-tax investment income yield was 4.25% for 2024, compared to 3.53% for 2023. The growth in net investment income for 2024 compared to 2023 primarily reflected higher yields available in the financial markets. The pre-tax investment income yields were calculated based on amortized cost. Net cash flow from operating activities contributed $6.7 billion in 2024, which increased our invested asset base and contributed to the growth in net investment income. Net investment income in 2024 was partially impacted by a $1.9 billion special dividend paid to common shareholders in December which required us to sell certain investments. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.

Net Realized Gains or Losses.

We recorded net realized gains of $197 million for 2024, compared to net realized losses of $165 million for 2023. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets, net impairment losses recognized in earnings and gains or losses realized from the acquisition or disposition of subsidiaries. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Expected Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.

We recorded $580 million of equity in net income related to investments accounted for using the equity method for 2024, compared to $278 million for 2023. Investments accounted for using the equity method totaled $6.0 billion at December 31, 2024, compared to $4.6 billion at December 31, 2023. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.

Other Income or Losses

Other income for 2024 was $42 million, compared to $27 million for 2023. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.

Corporate Expenses.

Corporate expenses were $119 million for 2024, compared to $96 million for 2023. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.

Transaction Costs and Other.

Transaction costs and other were $81 million for 2024, compared to $6 million for 2023. The 2024 period primarily includes direct costs related to the MCE Acquisition and ongoing integration efforts.

Amortization of Intangible Assets.

Amortization of intangible assets for 2024 was $235 million, compared to $95 million for 2023. Amounts in 2024 and 2023 primarily related to amortization of finite-lived intangible assets with the increase in 2024 primarily related to the MCE Acquisition. See note 2, “Acquisition.”

Interest Expense.

Interest expense was $141 million for 2024, compared to $133 million for 2023. Interest expense primarily reflects amounts related to our outstanding senior notes.

Net Foreign Exchange Gains or Losses.

Net foreign exchange gains for 2024 were $75 million, compared to net foreign exchange losses for 2023 of $60 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income before income taxes resulted in an expense of 7.7% for 2024, compared to a benefit of 24.5% for 2023. The 2023 provision reflected the establishment of a net deferred income tax asset of $1.18 billion related to the enactment of Bermuda’s new corporate income tax. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.

See note 15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference

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ARCH CAPITAL772024 FORM 10-K

between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2024 and 2023.

Income (Loss) from Operating Affiliates.

We recorded $200 million of net income from our operating affiliates in 2024, compared to $184 million in 2023. Amounts in both periods primarily reflected amounts related to our investments in Somers Group Holdings Ltd. and Coface SA. See note 9, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES

The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.

Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

At December 31, 2024 and 2023, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

December 31,
20242023
Insurance segment:
Case reserves$3,730$2,730
IBNR reserves8,2385,626
Total net reserves11,9688,356
Reinsurance segment:
Case reserves2,7212,447
Additional case reserves806484
IBNR reserves5,5804,260
Total net reserves9,1077,191
Mortgage segment:
Case reserves331323
IBNR reserves142192
Total net reserves473515
Total:
Case reserves6,7825,500
Additional case reserves806484
IBNR reserves13,96010,078
Total net reserves$21,548$16,062

At December 31, 2024 and 2023, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20242023
Multi-line and other specialty$4,105$1,350
Third party occurrence business4,1043,719
Third party claims-made business2,6302,451
Property, energy, marine and aviation1,129836
Total net reserves$11,968$8,356

At December 31, 2024 and 2023, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20242023
Casualty$3,089$2,725
Other specialty2,7912,125
Property excluding property catastrophe1,7781,243
Property catastrophe845585
Marine and aviation461359
Other143154
Total net reserves$9,107$7,191
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ARCH CAPITAL782024 FORM 10-K

At December 31, 2024 and 2023, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20242023
U.S. primary mortgage insurance (1)$333$324
U.S. credit risk transfer (CRT) and other85100
International mortgage insurance/reinsurance5591
Total net reserves$473$515

(1)    At December 31, 2024, 35.0% of total net reserves represent policy years 2014 and prior and the remainder from later policy years. At December 31, 2023, 31.0% of total net reserves represent policy years 2014 and prior and the remainder from later policy years.

Potential Variability in Loss Reserves

The following tables summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2024 by underwriting segment and reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the lines of business included in each reserving line.

The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2024, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2024, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our Loss Reserves, on a net basis and across all accident years.

INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$68$110
Third party occurrence business307125
Third party claims-made business488278
Multi-line and other specialty804302
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(67)$(94)
Third party occurrence business(281)(85)
Third party claims-made business(403)(155)
Multi-line and other specialty(709)(261)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$273$300
Other specialty245172
Property excluding property catastrophe88201
Property catastrophe3861
Marine and aviation2037
Other108
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REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(273)$(230)
Other specialty(245)(240)
Property excluding property catastrophe(88)(195)
Property catastrophe(38)(36)
Marine and aviation(20)(38)
Other(10)(7)

It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2024 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.

For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2024 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 30% of the unpaid principal balance at December 31, 2024), we estimated that our loss reserves would change by approximately $15 million at December 31, 2024. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 22% at December 31, 2024), we estimated a $20 million change in our loss reserves at December 31, 2024.

Simulation Results

In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.

At December 31, 2024, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:

Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss Reserves (1)$11,968$9,107$473$21,548
Simulation results:
90th percentile (2)$14,025$11,114$566$25,257
10th percentile (3)$10,033$7,265$387$18,117

(1)    Net of reinsurance recoverables.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.

(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $3.7 billion, or $9.71 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $3.4 billion, or $8.99 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates and

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assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2024. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”

Mortgage Operations Supplemental Information

On June 3, 2024, we completed the acquisition of RMIC Companies, Inc., and its wholly-owned subsidiaries (“RMIC”) that, together, comprise the run-off mortgage insurance business of Old Republic International Corporation. The acquired business had been in runoff since 2011 and represented $3.6 billion of insurance in force at the time of the acquisition.

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2024 and 2023:

December 31,
20242023
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$290,43558.0$290,76457.1
U.S. credit risk transfer (CRT) and other145,89229.1149,09829.3
International mortgage insurance/reinsurance64,82212.969,47313.6
Total$501,149100.0$509,335100.0
Risk In Force (RIF) (2):
U.S. primary mortgage insurance$76,03485.3$75,52784.6
U.S. credit risk transfer (CRT) and other5,8766.66,1566.9
International mortgage insurance/reinsurance7,2158.17,5628.5
Total$89,125100.0$89,245100.0

(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.

(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions. Such amounts are shown before external reinsurance.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2024:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2014 and prior$14,9985.2$3,8175.06.49%
20153,3311.18531.12.19%
20165,2401.81,3711.83.23%
20175,5541.91,4892.03.52%
20187,0812.41,8432.44.31%
201912,9194.43,3864.52.85%
202039,42613.610,71814.11.52%
202162,38221.516,62021.91.52%
202257,17519.715,11319.91.51%
202336,82712.79,47912.51.12%
202445,50215.711,34514.90.30%
Total$290,435100.0$76,034100.02.09%

(1)Represents the ending percentage of loans in default.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2023:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2014 and prior$13,3014.6$3,3874.56.01%
20154,6911.61,2441.61.98%
20167,5252.62,0252.72.50%
20177,6002.62,0232.73.13%
20188,5122.92,2072.94.04%
201915,7675.44,0745.42.40%
202051,34917.713,35717.71.17%
202176,66726.419,81226.21.12%
202263,89922.016,75522.20.89%
202341,45314.310,64314.10.26%
Total$290,764100.0$75,527100.01.74%

(1)Represents the ending percentage of loans in default.

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The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2024 and 2023:

December 31,
20242023
Amount%Amount%
Credit quality (FICO):
=740$47,36062.3$46,79662.0
680-73924,68832.524,99033.1
620-6793,6384.83,4974.6
6203480.52440.3
Total$76,034100.0$75,527100.0
Weighted average FICO score748748
Loan-to-Value (LTV):
95.01% and above$7,4209.8$7,0679.4
90.01% to 95.00%45,31159.644,66959.1
85.01% to 90.00%20,63727.120,49027.1
85.00% and below2,6663.53,3014.4
Total$76,034100.0$75,527100.0
Weighted average LTV93.2%93.0%
Total RIF, net of external reinsurance$60,085$58,146
December 31,
20242023
Amount%Amount%
Total RIF by State:
California$5,9897.9$6,1628.2
Texas5,6137.45,9727.9
North Carolina3,3554.43,2484.3
Georgia3,1434.13,0814.1
Minnesota3,1084.13,0694.1
Illinois3,0564.02,9864.0
Massachusetts2,8853.82,8583.8
Michigan2,8553.82,7733.7
Florida2,8243.73,0074.0
Ohio2,7163.62,5533.4
Others40,49053.339,81852.7
Total$76,034100.0$75,527100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2024 and 2023:

(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20242023
Rollforward of insured loans in default:
Beginning delinquent number of loans19,45720,567
New notices45,78539,496
Cures(43,506)(39,704)
Paid claims(1,279)(902)
Acquired delinquent loans (1)2,525
Ending delinquent number of loans (2)22,98219,457
Ending number of policies in force (2)1,100,6531,117,480
Delinquency rate (2)2.09%1.74%
Losses:
Number of claims paid1,279902
Total paid claims$43,895$26,903
Average per claim$34.3$29.8
Severity (3)71.6%70.8%
Average reserve per default (in thousands) (2)$15.3$17.7

(1)    Represents delinquent loans related to the acquisition of RMIC.

(2)    Includes first lien primary and pool policies.

(3)    Represents total direct first lien paid claims divided by RIF of loans for which claims were paid, excluding paid claim settlements.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for U.S. primary mortgage insurance operations was approximately 7.8 to 1 at December 31, 2024, compared to 7.3 to 1 at December 31, 2023.

Ceded Reinsurance

In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be

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affected by deemed inuring reinsurance, industry losses reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.

The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”

For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 26.9% of gross premiums written for 2024, compared to 26.8% for 2023. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.

We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not

consolidated in our financial results because we do not have the unilateral power to direct those activities that are significant to its economic performance. See note 12, “Variable Interest Entities” to our consolidated financial statements in Item 8 for additional information.

Premium Revenues and Related Expenses

Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.

Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally,

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only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.

Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”

The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2024:

December 31, 2024
Gross AmountAcquisition ExpensesNet Amount
Other specialty$1,599$(447)$1,152
Property excluding property catastrophe676(207)469
Casualty495(144)351
Marine and aviation212(43)169
Property catastrophe1414
Other85(13)72
Total$3,081$(854)$2,227

Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.

A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.

Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.

Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.

Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.

Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned

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premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.

Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.

Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.

Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.

A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.

No premium deficiency charges were recorded by us during 2024 or 2023.

Net Deferred Income Tax Assets Measurement

On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date.

Using fair value to establish tax basis in the assets and liabilities of our Bermuda entities results in deductible and taxable temporary differences which are reflected as deferred income tax assets and liabilities, respectively, in our financial statements. The enactment of Bermuda CIT Act resulted in the establishment of a $1.18 billion net deferred income tax asset. Such amount is included in ‘other assets’ on the Company’s balance sheet. In January 2025, the OECD issued administrative guidance introducing a new interpretation (with retroactive effect) for determining the treatment of deferred income tax assets and liabilities. Bermuda has not issued corresponding guidance. As of December 31, 2024, management’s estimate of the measurement of the deferred tax assets remains unchanged.

The most significant deferred income tax assets recognized relate to the fair value adjustments for identifiable intangible assets. We estimated the fair value of the identifiable intangible assets of our Bermuda entities using discounted cash flow (“DCF”) models. The significant assumptions

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utilized in the DCF models included the future revenue and profits expected to be generated by the identifiable intangible assets and the discount rates. See note 15, “Income Taxes” to our consolidated financial statements in Item 8 for disclosures concerning our Company’s deferred income tax asset.

Fair Value Measurements

We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2024 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3(t), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

FINANCIAL CONDITION

Investable Assets

At December 31, 2024, total investable assets held by Arch were $41.4 billion.

Investable Assets Held by Arch

The Finance, Investment and Risk Committee (“FIR Committee”) of our Board of Directors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR Committee reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee. At December 31, 2024, approximately $25.6 billion, or 62%, of

total investable assets held by Arch were internally managed, compared to $21.9 billion, or 63%, at December 31, 2023.

The following table summarizes the duration and average credit quality of fixed income assets held by Arch:

December 31,
20242023
Average effective fixed maturities duration (in years)3.313.51
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).

The following table provides the credit quality distribution of our fixed maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

Estimated Fair Value% of Total
December 31, 2024
U.S. government and gov’t agencies (1)$7,49826.9
AAA4,33015.5
AA2,2858.2
A5,13818.4
BBB6,46723.2
BB9783.5
B4581.6
Lower than B280.1
Not rated7072.5
Total$27,889100.0
December 31, 2023
U.S. government and gov’t agencies (1)$6,49326.8
AAA4,30517.8
AA2,1658.9
A4,62919.1
BBB5,05820.9
BB6982.9
B3891.6
Lower than B150.1
Not rated4842.0
Total$24,236100.0

(1)Includes U.S. government-sponsored agency residential mortgage backed securities and agency commercial mortgage backed securities.

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The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all fixed maturities which were in an unrealized loss position:

Severity of gross unrealized losses:Estimated Fair ValueGross Unrealized Losses% of Total Gross Unrealized Losses
December 31, 2024
0-10%$16,044$(453)65.5
10-20%1,357(216)31.2
20-30%70(20)2.9
Greater than 30%6(3)0.4
Total$17,477$(692)100.0
December 31, 2023
0-10%$10,696$(410)49.7
10-20%2,282(367)44.5
20-30%116(35)4.2
Greater than 30%26(13)1.6
Total$13,120$(825)100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2024, excluding guaranteed amounts and covered bonds:

Estimated Fair ValueCredit Rating (1)
JPMorgan Chase & Co.$418A/A1
Morgan Stanley357A-/A1
Bank of America Corporation299A-/A1
The Goldman Sachs Group, Inc.244A-/A2
Blue Owl Capital Inc.242BBB-/Baa3
Citigroup Inc.236BBB+/A3
Blackstone Inc.188BBB-/Baa2
Hyundai Motor Company186A-/A3
Ford Motor Company166BBB-/Ba1
Canada156AA-/Aa2
Total$2,492

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

The following table provides information on our structured securities, which include residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset backed securities (“ABS”):

AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2024
RMBS$769$310$$1,079
CMBS7959921,058
ABS2,6672332,900
Total$776$3,936$325$5,037
Dec. 31, 2023
RMBS$658$445$$1,103
CMBS71,126801,213
ABS2,1431072,250
Total$665$3,714$187$4,566

The following table summarizes our equity securities, which include investments in exchange traded funds:

December 31,
20242023
Equities (1)$1,041$739
Exchange traded funds
Fixed income (2)428285
Equity and other (3)213169
Total$1,682$1,193

(1)Primarily in technology, consumer non-cyclical, communications, financial and industrials at December 31, 2024.

(2)Primarily in corporate at December 31, 2024.

(3)Primarily in financials, consumer staples, industrials and energy sectors at December 31, 2024.

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and fixed income duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2024 and 2023 segregated by level in the fair value hierarchy.

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Reinsurance Recoverables

The following table details our reinsurance recoverables at December 31, 2024:

% of TotalA.M. Best Rating (1)
Somers Re Ltd. (2)19.6A-
Hannover Rück SE4.4A+
Lloyd’s syndicates (3)4.3A+
Munich Reinsurance America, Inc.3.0A+
RenaissanceRe Holdings Ltd.2.7A+
Swiss Reinsurance America Corporation2.5A+
Everest Reinsurance Company2.2A+
Partner Reinsurance Company of the U.S.1.6A+
Transatlantic Reinsurance Company1.6A++
Fortitude Reinsurance Company Ltd.1.6A
All other -- “A-” or better20.3
All other -- not rated (4)36.2
Total100.0

(1)    The financial strength ratings are as of January 6, 2025 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A++” and “A+” are designated “Superior”; and the “A” and “A-” ratings are designated “Excellent.”

(2)    See note 16, “Transactions with Related Parties.”

(3)    The A.M. Best group rating of “A+” (Superior) has been applied to all Lloyd’s syndicates.

(4)    Over 96% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses

We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1, “Business—Reserves” for further details.

Shareholders’ Equity and Book Value per Share

The following table presents the calculation of book value per share:

(U.S. dollars in millions, except per share data)December 31,
20242023
Total shareholders’ equity available to Arch$20,820$18,353
Less preferred shareholders’ equity830830
Common shareholders’ equity available to Arch$19,990$17,523
Common shares and common share equivalents outstanding, net of treasury shares (1)376.4373.3
Book value per share$53.11$46.94

(1)    Excludes the effects of 12.4 million and 12.5 million stock options and 0.3 million and 0.4 million restricted stock and performance units outstanding at December 31, 2024 and 2023, respectively.

LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

In 2024, Arch Capital received dividends of $2.5 billion from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer. Arch Re Bermuda can pay approximately $5.5 billion to Arch Capital in 2025 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).

Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that

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may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.

We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities, for the next twelve months, at a minimum.

Dividend Restrictions

Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory

standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.

We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.

In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets

Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2024 and 2023, such amounts approximated $13.0 billion and $9.9 billion, respectively.

Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $4.4 billion at December 31, 2024 and are callable by our investment managers. The timing of the

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funding of investment commitments is uncertain and may require us to access cash on short notice.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities:

Year Ended December 31,
20242023
Total cash provided by (used for):
Operating activities$6,673$5,749
Investing activities(4,461)(5,468)
Financing activities(1,925)(69)
Effects of exchange rate changes on foreign currency cash(25)13
Increase (decrease) in cash$262$225

Cash provided by operating activities in 2024 was higher than in 2023. Activity in 2024 primarily reflected a higher level of premiums collected than in 2023.

Cash used for investing activities in 2024 reflected lower net purchases than in 2023. Cash used for investing activity during 2024 was partially impacted by a $1.9 billion special dividend paid to common shareholders, which entailed that we liquidate certain investments. Activity in 2024 also reflected $852 million of net cash received related to the MCE Acquisition.

Cash used for financing activities in 2024 was higher than in 2023. Activity in 2024 included a $1.9 billion special dividend paid to common shareholders.

Investments

At December 31, 2024, our investable assets were $41.4 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities. See Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

December 31,
20242023
Senior notes$2,728$2,726
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330330
Series G non-cumulative preferred shares500500
Common shareholders’ equity19,99017,523
Total$20,820$18,353
Total capital available to Arch$23,548$21,079
Senior notes to total capital (%)11.612.9
Revolving credit agreement borrowings to total capital (%)
Debt to total capital (%)11.612.9
Preferred to total capital (%)3.53.9
Debt and preferred to total capital (%)15.116.9

See note 19, “Debt and Financing Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

Capital Adequacy

We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.

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In addition, Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (together, “eligible mortgage insurer”) are required to maintain compliance with the GSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Together, our eligible mortgage insurers satisfied the PMIERs’ financial requirements as of December 31, 2024 with a PMIER sufficiency ratio of 186%, compared to 213% at December 31, 2023. On August 21, 2024, Fannie Mae and Freddie Mac (collectively the GSEs) each updated their PMIERs to incorporate new deductions to available assets for investment risk. This update will become effective March 31, 2025, but the impact will be phased in through September 30, 2026. If the GSEs had fully implemented this update to PMIERs as of December 31, 2024, the changes would have reduced available assets by 17% and resulted in a Pro-forma PMIERs Sufficiency Ratio of 154% compared with a reported PMIERs Sufficiency Ratio of 186%.

As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of the Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our Board deems relevant.

To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates,

through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.

Share Repurchase Program

Our Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2024, Arch Capital has repurchased approximately 433.8 million common shares for an aggregate purchase price of $5.9 billion. At December 31, 2024, $996.8 million of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.

GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at December 31, 2024:

InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350%$300$298
June 30, 20503.635%1,000989
Arch-U.S.:
Nov. 1, 2043 (1)5.144%500496
Arch Finance:
Dec. 15, 2026 (1)4.011%500499
Dec. 15, 2046 (1)5.031%450446
Total$2,750$2,728

(1) Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance

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LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.

During 2024 and 2023, we made interest payments of $127 million and $127 million, respectively, primarily related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.

The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

December 31, 2024December 31, 2023
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$43$549$17$145
Cash13595
Investment in operating affiliates34
Due from subsidiaries and affiliates610
Other assets661015856
Total assets$131$665$88$206
Liabilities
Senior notes1,2874951,287495
Due to subsidiaries and affiliates11994993
Other liabilities48503842
Total liabilities1,3461,5391,3251,530
Non-cumulative preferred shares$830$$830$
Year Ended
December 31, 2024December 31, 2023
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$5$14$2$4
Net realized gains (losses)(4)
Equity in net income (loss) of investments accounted for using the equity method(4)(2)
Total revenues11022
Expenses
Corporate expenses1167939
Interest expense59265926
Interest expense (intercompany)5351
Total expenses1758615286
Income (loss) before income taxes(174)(76)(150)(84)
Income tax (expense) benefit224119
Income (loss) from operating affiliates(1)(1)
Net income available to Arch(175)(54)(110)(65)
Preferred dividends(40)(40)
Net income available to Arch common shareholders$(215)$(54)$(150)$(65)
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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2024:

Payment due by period
Total20252026 and 20272028 and 2029Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$29,369$9,295$9,255$4,333$6,486
Contractholder payables (2)2,1652444333371,151
Operating lease obligations20032604464
Purchase obligations26011110841
Contingent and deferred consideration liabilities73561232
Investing activities
Unfunded investment commitments (3)4,4334,433
Financing activities
Senior notes (including interest payments)4,9141277342143,839
Total contractual obligations and commitments$41,414$14,298$10,602$4,972$11,542

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(3)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.

Letter of Credit and Revolving Credit Facilities

Arch Capital and certain of its subsidiaries have access to a credit facility with a syndicate of financial institutions (the “Group Credit Facility”) that expires on August 23, 2028. The Group Credit Facility consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2024, the Secured Facility had $275 million of letters of credit outstanding and remaining capacity of $150 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.

The Group Credit Facility contains certain restrictive and maintenance covenants customary for facilities of this type, including restrictions on indebtedness, minimum consolidated tangible net worth, maximum leverage levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2024.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.

RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.

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If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.

The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.

CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that

losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.

We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.

For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.

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Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2025, our modeled peak zone catastrophe exposure is a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $1.8 billion, followed by windstorms affecting the Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $1.7 billion and $1.5 billion, respectively. As of January 1, 2025, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 57% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (German windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2025, our modeled RDS loss was 4.8% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms

can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2024. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.

The sensitivity analysis performed as of December 31, 2024 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2024 and are sensitive to changes in interest rates and equity security prices. This risk management

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discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.

The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2024 and 2023:

(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2024
Total fair value$40.0$39.5$38.9$38.4$37.9
Change from base2.8%1.4%(1.4)%(2.7)%
Change in unrealized value$1.09$0.54$(0.54)$(1.05)
Dec. 31, 2023
Total fair value$33.6$33.1$32.7$32.2$31.7
Change from base3.0%1.5%(1.4)%(2.8)%
Change in unrealized value$0.98$0.49$(0.46)$(0.91)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value.

As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2024 and 2023:

(U.S. dollars in billions)Credit Spread Shift in Percentage
-100-50-+50+100
Dec. 31, 2024
Total fair value$40.0$39.5$38.9$38.4$37.8
Change from base2.8%1.4%(1.4)%(2.8)%
Change in unrealized value$1.09$0.54$(0.54)$(1.09)
Dec. 31, 2023
Total fair value$33.8$33.2$32.7$32.1$31.5
Change from base3.4%1.7%(1.7)%(3.4)%
Change in unrealized value$1.11$0.56$(0.56)$(1.11)

Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2024, our portfolio’s 95th percentile VaR was estimated to be 5.6%, compared to an estimated 7.8% at December 31, 2023. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.

Equity Securities. At December 31, 2024 and 2023, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $1.5 billion and $1.0 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $149 million and $101 million at

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December 31, 2024 and 2023, respectively, and would have decreased book value per share by approximately $0.40 and $0.27, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $149 million and $101 million at December 31, 2024 and 2023, respectively, and would have increased book value per share by approximately $0.40 and $0.27, respectively.

Investment-Related Derivatives. At December 31, 2024, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $5.0 billion, compared to $4.2 billion at December 31, 2023. If the underlying exposure of each investment-related derivative held at December 31, 2024 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $50 million, and a decrease in book value per share of $0.13, compared to $42 million and $0.11, respectively, on investment-related derivatives held at December 31, 2023. If the underlying exposure of each investment-related derivative held at December 31, 2024 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $50 million, and an increase in book value per share of $0.13, compared to $42 million and $0.11, respectively, on investment-related derivatives held at December 31, 2023. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”

Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

(U.S. dollars in millions, except per share data)December 31, 2024December 31, 2023
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(815)$(300)
Shareholders’ equity denominated in foreign currencies (1)1,1201,158
Net foreign currency forward contracts outstanding (2)453246
Net exposures denominated in foreign currencies$758$1,104
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity$(76)$(110)
Book value per share$(0.20)$(0.30)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity$76$110
Book value per share$0.20$0.30

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”

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Effects of Inflation

General economic inflation may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will vary by the specific type of inflation affecting each line of business.

FY 2023 10-K MD&A

SEC filing source: 0000947484-24-000020.

Extracted structurally from real Item 7 body heading to real Item 7A/8 boundary. Confidence: high. Filing date: 2024-02-23. Report date: 2023-12-31.

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2023 and 2022. Comparisons between 2022 and 2021 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2022 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”

This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. All amounts are in millions, except per share amounts, unless otherwise noted.

Page No.
Overview65
Current Outlook65
Financial Measures66
Comments on Non-GAAP Measures67
Results of Operations69
Insurance Segment69
Reinsurance Segment71
Mortgage Segment72
Corporate Segment73
Summary of Critical Accounting Estimates75
Financial Condition83
Liquidity85
Capital Resources87
Contractual Obligations and Commitments90
Ratings91
Catastrophic Events and Severe Economic Events91
Market Sensitive Instruments and Risk Management93
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OVERVIEW

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $21.1 billion in capital at December 31, 2023 and is part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, experienced management team and strong capital base enable us to establish a strong presence in the markets where we operate.

The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, narrow terms and conditions, and strong underwriting profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a “soft” market, which has characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and lower underwriting profits for insurers. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.

The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.

Mortgage insurance and reinsurance are subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.

CURRENT OUTLOOK

As we conclude another record year and head into 2024, our objective remains the same, to deliver long term value for our shareholders. With our commitment to underwriting acumen, prudent reserving and cycle-focused capital allocation, we were able to deliver another profitable year. Our full year financial performance was excellent, with an annualized net income and operating returns on average common equity of 29.7% and 21.6%, respectively. See “Comment on Non-GAAP Financial Measures.”

We continue to execute our cycle management strategy by actively allocating capital to the segments with the best risk adjusted returns. Growth was strong all year in our property and casualty segments which wrote over $17 billion of gross premium written and over $12.4 billion of net premium written, and, while most current growth opportunities are in the property and casualty sector, it is important to recognize the steady and quality underwriting performance of our mortgage group. Although mortgage market conditions meant fewer opportunities for top line growth, the mortgage segment continued to generate significant profits totaling nearly $1.1 billion of underwriting income for the year.

At Arch, our primary focus has always been on rate adequacy, regardless of market conditions. Our underwriting culture dictates that we include a meaningful margin of safety in our pricing, especially in softer conditions and take a longer term view of inflation and rates. As underwriting opportunities arise, our reinsurance segment is able to react quickly and significantly when markets pivot. In the reinsurance property market, our overall exposure to property catastrophe risk remains well below our self imposed threshold (see “Catastrophic and Severe Economic Events”) and, because of our diversified portfolio and broad set of opportunities, we retain the flexibility to pursue the most attractive returns across lines and geographies. The hard market conditions remained elevated in several lines during the January 1, 2024 renewal cycle.

In our insurance segment, we continue to take advantage of favorable global market conditions with net premiums written up 17% in 2023. Although pricing has declined in some lines, such as large public directors and officers liability insurance, the markets in which our insurance segment operates generally continue to provide adequate returns. In 2023, the most notable gains came in property, marine, construction and national accounts.

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Inflation continues to be a focus for our industry. We proactively analyze available data and we incorporate emerging trends into our pricing and reserving. We believe that this discipline, coupled with increases in future investment returns and prudent reserving, allows us to maximize the capabilities of our diversified platform.

Our mortgage segment continues to deliver a steady level of earnings for our shareholders. Higher persistency of our in force U.S. primary mortgage insurance portfolio helped offset the significant industry wide reduction in mortgage originations in 2023. The credit profile of our U.S. primary mortgage insurance portfolio remains excellent and the overall mortgage market continues to be disciplined and return focused. We continue to see meaningful opportunities for the mortgage segment outside of the U.S. and our strategic decision to diversify our mortgage operations is yielding positive results.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $46.94 at December 31, 2023, a 43.9% increase from $32.62 at December 31, 2022. The increase in book value per share in 2023 reflected strong underwriting and investment results and also reflected the establishment of a net deferred income tax asset of $1.18 billion, or $3.16 per share, related to the enactment of Bermuda’s new corporate income tax.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses

(which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 29.7% for 2023, compared to 11.6% for 2022. Our Operating ROAE was 21.6% for 2023, compared to 14.8% for 2022, with the higher return in 2023 primarily resulting from improved underwriting results and growth in net investment income.

Total Return on Investments

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses, excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns. See “Comment on Non-GAAP Financial Measures.”

The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:

Arch Portfolio (1)Benchmark Return
Year Ended December 31, 20237.57%8.28%
Year Ended December 31, 2022-6.45%-9.60%

(1) Our investment expenses were approximately 0.26% and 0.28%, respectively, of average invested assets in 2023 and 2022.

Total return for 2023 reflected strong returns in fixed income, equity and alternative strategies. Actual performance trailed the benchmark return for the year, largely due to the portfolio being underweight risk assets compared to the benchmark. We continue to maintain a relatively short duration on our portfolio of 2.91 years at December 31, 2023.

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The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2023, the benchmark return index had an average credit quality of “A1” by Moody’s, an estimated duration of 2.64 years.

The benchmark return index included weightings to the following indices:

%
ICE BofA 1-10 Year U.S. Corporate Index28.50
Yield on 3-5 Year U.S. Treasury Index plus 6%16.50
ICE BofA 1-10 Year U.S. Treasury Index15.75
ICE BofA U.S. High Yield Constrained Index8.00
ICE BofA 1-5 Year U.K. Gilt Index5.50
JPM CLOIE Investment Grade4.50
ICE BofA German Government 1-5 Year Index2.80
ICE BofA German Government 5-7 Year Index1.20
S&P 500 Total Return Index4.00
ICE BofA 0-3 Month U.S. Treasury Index3.00
ICE BofA U.S. ABS & CMBS Index3.00
ICE BofA 1-5 Year Australia Government Index2.50
ICE BofA U.S. Mortgage Backed Securities Index1.50
ICE BofA 1-5 Year Canada Government Index2.70
ICE BofA 15+ Year Canada Government Index0.30
ICE BofA 1-5 Year Japan Government Index0.25
Total100.00%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange

gains or losses, transaction costs and other, net of income taxes (which for the 2023 fourth quarter includes a one-time deferred income tax benefit related to the enactment of Bermuda’s new corporate income tax), and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.

The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other investments and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance.

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In the 2023 fourth quarter, the Company established a net deferred income tax asset, resulting in a benefit of $1.18 billion, consistent with the transition provisions specified in the Bermuda CIT Act. Due to the non-recurring nature of this one-time item, the Company believes that excluding this item from after-tax operating income or loss available to common shareholders provides the user with a better evaluation of the Company’s ongoing business performance.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies that follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate segment. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.

Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Through June 30, 2021, the ‘other’ segment included the results of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). Pursuant to GAAP, Somers was considered a variable interest entity and we concluded that we were the primary beneficiary of Somers. As such, we consolidated the results of Somers in our consolidated financial statements through June 30, 2021. In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. Based on the governing documents of Greysbridge, we concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Somers in our consolidated financial statements and footnotes. See note 12, “Variable Interest Entities and Noncontrolling Interests” and note 4, “Segment Information,” to our consolidated financial statements for additional information on Somers.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses

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total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Year Ended December 31,
20232022
Net income available to Arch common shareholders$4,403$1,436
Net realized (gains) losses (1)165663
Equity in net (income) loss of investments accounted for using the equity method(278)(115)
Net foreign exchange (gains) losses62(102)
Transaction costs and other6
Income tax expense (benefit) (2)(1,157)(42)
After-tax operating income available to Arch common shareholders$3,201$1,840
Beginning common shareholders’ equity$12,080$12,716
Ending common shareholders’ equity17,52312,080
Average common shareholders’ equity$14,802$12,398
Annualized net income return on average common equity %29.711.6
Annualized operating return on average common equity %21.614.8

(1) Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets.

(2) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction. The 2023 results were impacted by the establishment of a net deferred income tax asset of $1.18 billion, or $3.10 per share, related to the enactment of Bermuda’s new corporate income tax.

Segment Information

We classify our businesses into three underwriting segments – insurance, reinsurance and mortgage – and two operating segments – corporate and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer of Arch Capital, the Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly, investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The following tables set forth our insurance segment’s underwriting results:

Year Ended December 31,
20232022% Change
Gross premiums written$7,911$6,93114.1
Premiums ceded(2,049)(1,910)
Net premiums written5,8625,02116.7
Change in unearned premiums(416)(461)
Net premiums earned5,4464,56019.4
Losses and loss adjustment expenses(3,122)(2,784)
Acquisition expenses(1,055)(887)
Other operating expenses(819)(665)
Underwriting income$450$224100.9
Underwriting Ratios% Point Change
Loss ratio57.3%61.0%(3.7)
Acquisition expense ratio19.4%19.4%
Other operating expense ratio15.0%14.6%0.4
Combined ratio91.7%95.0%(3.3)

The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

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Net Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

Year Ended December 31,
20232022
Amount%Amount%
Professional lines$1,40123.9$1,50229.9
Property, energy, marine and aviation1,21920.887817.5
Programs74212.761112.2
Construction and national accounts62810.74709.4
Travel, accident and health5599.54849.6
Excess and surplus casualty5409.24619.2
Warranty and lenders solutions2354.01392.8
Other5389.24769.5
Total$5,862100.0$5,021100.0

Net premiums written by the insurance segment were 16.7% higher in 2023 than in 2022. The increase in net premiums written reflected growth in most lines of business, primarily due to rate increases, new business opportunities and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20232022
Amount%Amount%
Professional lines$1,41926.1$1,31428.8
Property, energy, marine and aviation1,06419.577216.9
Programs65812.159012.9
Construction and national accounts56110.34329.5
Travel, accident and health55710.249210.8
Excess and surplus casualty4868.93938.6
Warranty and lenders solutions1853.41282.8
Other5169.54399.6
Total$5,446100.0$4,560100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 19.4% higher in 2023 than in 2022, reflecting changes in net premiums written over the previous five quarters.

Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

Year Ended December 31,
20232022
Current year58.1%61.6%
Prior period reserve development(0.8)%(0.6)%
Loss ratio57.3%61.0%

Current Year Loss Ratio.

The insurance segment’s current year loss ratio was 3.5 points lower in 2023 than in 2022. The 2023 loss ratio included 2.7 points of current year catastrophic event activity, spread across series of global events, compared to 5.2 points in 2022, primarily related to Hurricane Ian and a series of global events. The balance of the change in the 2023 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.

Prior Period Reserve Development.

The insurance segment’s net favorable development was $42 million, or 0.8 points, for 2023, compared to $25 million, or 0.6 points, for 2022. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

The insurance segment’s underwriting expense ratio was 34.4% in 2023, compared to 34.0% in 2022, with the increase primarily related to higher incentive compensation costs.

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Reinsurance Segment

The following tables set forth our reinsurance segment’s underwriting results:

Year Ended December 31,
20232022% Change
Gross premiums written$9,113$6,94831.2
Premiums ceded(2,559)(2,024)
Net premiums written6,5544,92433.1
Change in unearned premiums(718)(965)
Net premiums earned5,8363,95947.4
Other underwriting income (loss)175
Losses and loss adjustment expenses(3,227)(2,568)
Acquisition expenses(1,240)(813)
Other operating expenses(288)(268)
Underwriting income$1,098$315248.6
Underwriting Ratios% Point Change
Loss ratio55.3%64.9%(9.6)
Acquisition expense ratio21.2%20.5%0.7
Other operating expense ratio4.9%6.8%(1.9)
Combined ratio81.4%92.2%(10.8)

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

Year Ended December 31,
20232022
Amount%Amount%
Other specialty$2,41236.8$1,98340.3
Property excluding property catastrophe1,91029.11,27625.9
Casualty1,00215.397319.8
Property catastrophe86513.24168.4
Marine and aviation2503.81673.4
Other1151.81092.2
Total$6,554100.0$4,924100.0

Net premiums written by the reinsurance segment were 33.1% higher in 2023 than in 2022. The growth in net premiums written reflected increases in all lines of business, primarily due to new business, rate increases and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20232022
Amount%Amount%
Other specialty$2,09735.9$1,37834.8
Property excluding property catastrophe1,64528.21,09027.5
Casualty1,00517.285521.6
Property catastrophe74212.73679.3
Marine and aviation2293.91594.0
Other1182.01102.8
Total$5,836100.0$3,959100.0

Net premiums earned in 2023 were 47.4% higher than in 2022, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.

Other Underwriting Income (Loss).

Other underwriting income in 2023 was $17 million, compared to $5 million in 2022.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

Year Ended December 31,
20232022
Current year57.9%69.7%
Prior period reserve development(2.6)%(4.8)%
Loss ratio55.3%64.9%

Current Year Loss Ratio.

The reinsurance segment’s current year loss ratio was 11.8 points lower in 2023 than in 2022. The 2023 loss ratio included 6.8 points for current year catastrophic event activity spread across a series of global events, compared to 13.9 points in 2022, primarily related to Hurricane Ian and a series of global events. The balance of the change in the 2023 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $152 million, or 2.6 points, for 2023, compared to $190 million, or 4.8 points, for 2022, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

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Underwriting Expenses.

The underwriting expense ratio for the reinsurance segment was 26.1% in 2023, compared to 27.3% in 2022, with the decrease primarily due to growth in net premiums earned. The 2022 ratio also reflected a lower level of contingent commissions on ceded business, primarily due to Hurricane Ian.

Mortgage Segment

The following tables set forth our mortgage segment’s underwriting results.

Year Ended December 31,
20232022% Change
Gross premiums written$1,387$1,455(4.7)
Premiums ceded(335)(322)
Net premiums written1,0521,133(7.1)
Change in unearned premiums10627
Net premiums earned1,1581,160(0.2)
Other underwriting income148
Losses and loss adjustment expenses103324
Acquisition expenses(17)(40)
Other operating expenses(194)(195)
Underwriting income$1,064$1,257(15.4)
Underwriting Ratios% Point Change
Loss ratio(8.9)%(28.0)%19.1
Acquisition expense ratio1.4%3.5%(2.1)
Other operating expense ratio16.8%16.8%
Combined ratio9.3%(7.7)%17.0

Net Premiums Written.

The following table sets forth our mortgage segment’s net premiums written by underwriting unit:

Year Ended December 31,
20232022
U.S. primary mortgage insurance$737$769
U.S. credit risk transfer (CRT) and other220196
International mortgage insurance/reinsurance95168
Total$1,052$1,133

Net premiums written for 2023 were 7.1% lower than in 2022. The reduction in net premiums written primarily reflected lower levels of mortgage originations in the Australian market and a decrease in U.S. primary mortgage insurance business, which was partially offset by a higher volume of credit risk transfer transactions. Premiums ceded for 2023 reflected $17 million of one-time payments related to the termination of eight Bellemeade agreements.

The persistency rate of the U.S. primary portfolio of mortgage loans was 83.6% at December 31, 2023 compared to 79.5% at December 31, 2022, with the increase primarily reflecting a lower level of refinancing activity due to a higher interest rate environment. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.

Net Premiums Earned.

The following table sets forth our mortgage segment’s net premiums earned by underwriting unit:

Year Ended December 31,
20232022
U.S. primary mortgage insurance$759$804
U.S. credit risk transfer (CRT) and other220196
International mortgage insurance/reinsurance179160
Total$1,158$1,160

Net premiums earned for 2023 were 0.2% lower than in 2022. The 2023 results were impacted by the termination of the Bellemeade agreements noted above.

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions services and our whole mortgage loan purchase and sell program, was $14 million for 2023, compared to $8 million for 2022.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

Year Ended December 31,
20232022
Current year20.8%19.8%
Prior period reserve development(29.7)%(47.8)%
Loss ratio(8.9)%(28.0)%

Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on U.S. primary mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for

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such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2023 or 2022.

Current Year Loss Ratio.

The mortgage segment’s current year loss ratio was 1.0 point higher in 2023 compared to 2022. The higher current year loss ratio for 2023 reflected an increase in new delinquencies. The percentage of loans in default on U.S. primary mortgage insurance decreased from 1.77% at December 31, 2022 to 1.74% at December 31, 2023.

We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.

Prior Period Reserve Development.

The mortgage segment’s net favorable development was $344 million, or 29.7 points, for 2023, compared to $554 million, or 47.8 points, for 2022. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the mortgage segment was 18.2% for 2023, compared to 20.3% for 2022, with the decrease primarily due to a higher level of profit commissions on ceded U.S. primary mortgage insurance business in 2023.

Corporate Segment

The corporate segment results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items (which for 2023 reflects the establishment of a net deferred income tax asset related to the enactment of Bermuda’s new corporate income tax), income from operating affiliates and items related to our non-cumulative preferred shares.

Net Investment Income.

The components of net investment income were derived from the following sources:

Year Ended December 31,
20232022
Fixed maturities$917$469
Short-term investments6829
Equity securities2222
Other (1)9347
Gross investment income1,100567
Investment expenses (2)(77)(71)
Net investment income$1,023$496

(1)    Includes interest income on operating cash, distributions from investment funds and other items.

(2)    Investment expenses were approximately 0.26% of average invested assets for 2023, compared to 0.28% for 2022.

The pre-tax investment income yield was 3.53% for 2023, compared to 1.99% for 2022. The growth in net investment income for 2023 compared to 2022 primarily reflected higher yields available in the financial markets. Net cash flow from operating activities contributed $5.7 billion in 2023, which increased our invested asset base and contributed to the growth in net investment income. The pre-tax investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.

Net Realized Gains or Losses.

We recorded net realized losses of $165 million for 2023, compared to net realized losses of $663 million for 2022. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

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ARCH CAPITAL732023 FORM 10-K

Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.

We recorded $278 million of equity in net income related to investments accounted for using the equity method for 2023, compared to $115 million for 2022. Investments accounted for using the equity method totaled $4.6 billion at December 31, 2023, compared to $3.8 billion at December 31, 2022. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.

Other Income or Losses

Other income for the 2023 period was $27 million, compared to a loss of $27 million for the 2022 period. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.

Corporate Expenses.

Corporate expenses were $96 million for 2023, compared to $95 million for 2022. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.

Transaction Costs and Other.

Transaction costs and other were $6 million for 2023, compared to nil for 2022. The 2023 expenses were primarily related to acquisition activity.

Amortization of Intangible Assets.

Amortization of intangible assets for 2023 was $95 million, compared to $106 million for 2022. Amounts in 2023 and 2022 primarily related to amortization of finite-lived intangible assets. See note 2, “Acquisitions."

Interest Expense.

Interest expense was $133 million for 2023, compared to $131 million for 2022. Interest expense primarily reflects amounts related to our outstanding senior notes.

Net Foreign Exchange Gains or Losses.

Net foreign exchange losses for 2023 were $60 million, compared to net foreign exchange gains for 2022 of $102 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income before income taxes resulted in a benefit of 24.5% for 2023, compared to an expense of 5.1% for 2022. The 2023 provision reflected the establishment of a net deferred income tax asset of $1.18 billion related to the enactment of Bermuda’s new corporate income tax. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.

See note 15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2023 and 2022.

Income (Loss) from Operating Affiliates.

We recorded $184 million of net income from our operating affiliates in the 2023 period, compared to income of $75 million in the 2022 period and primarily reflects amounts related to the Company’s investment in Somers Group Holdings Ltd. and Coface SA. See note 9, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.

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ARCH CAPITAL742023 FORM 10-K

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES

The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.

Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

At December 31, 2023 and 2022, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

December 31,
20232022
Insurance segment:
Case reserves$2,730$2,398
IBNR reserves5,6264,934
Total net reserves8,3567,332
Reinsurance segment:
Case reserves2,4471,903
Additional case reserves484481
IBNR reserves4,2603,403
Total net reserves7,1915,787
Mortgage segment:
Case reserves323447
IBNR reserves192186
Total net reserves515633
Total:
Case reserves5,5004,748
Additional case reserves484481
IBNR reserves10,0788,523
Total net reserves$16,062$13,752

At December 31, 2023 and 2022, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20232022
Professional lines$2,451$2,070
Construction and national accounts1,6931,558
Excess and surplus casualty975786
Programs929843
Property, energy, marine and aviation836764
Travel, accident and health144139
Warranty and lenders solutions6547
Other1,2631,125
Total net reserves$8,356$7,332

At December 31, 2023 and 2022, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20232022
Casualty$2,725$2,342
Other specialty2,1251,476
Property excluding property catastrophe1,243993
Property catastrophe585536
Marine and aviation359292
Other154148
Total net reserves$7,191$5,787
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ARCH CAPITAL752023 FORM 10-K

At December 31, 2023 and 2022, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20232022
U.S. primary mortgage insurance (1)$324$415
U.S. credit risk transfer (CRT) and other100109
International mortgage insurance/reinsurance91109
Total net reserves$515$633

(1)    At December 31, 2023, 29.5% of total net reserves represent policy years 2013 and prior and the remainder from later policy years. At December 31, 2022, 36.1% of total net reserves represent policy years 2013 and prior and the remainder from later policy years.

Potential Variability in Loss Reserves

The following tables summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2023 by underwriting segment and reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the lines of business included in each reserving line.

The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2023, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2023, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.

INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$47$67
Third party occurrence business247124
Third party claims-made business431211
Multi-line and other specialty269119
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(46)$(63)
Third party occurrence business(250)(91)
Third party claims-made business(420)(166)
Multi-line and other specialty(213)(85)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$230$262
Other specialty176124
Property excluding property catastrophe51126
Property catastrophe4065
Marine and aviation1731
Other87
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ARCH CAPITAL762023 FORM 10-K
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(230)$(201)
Other specialty(176)(174)
Property excluding property catastrophe(51)(125)
Property catastrophe(40)(40)
Marine and aviation(17)(32)
Other(8)(6)

It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2023 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.

For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2023 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 29% of the unpaid principal balance at December 31, 2023), we estimated that our loss reserves would change by approximately $17 million at December 31, 2023. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 27% at December 31, 2023), we estimated a $18 million change in our loss reserves at December 31, 2023.

Simulation Results

In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.

At December 31, 2023, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:

Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss Reserves (1)$8,356$7,191$515$16,062
Simulation results:
90th percentile (2)$9,826$8,782$616$18,815
10th percentile (3)$6,918$5,732$420$13,429

(1)    Net of reinsurance recoverables.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.

(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $2.8 billion, or $7.27 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $2.6 billion, or $6.95 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates and

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assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2023. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”

Mortgage Operations Supplemental Information

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2023 and 2022:

December 31,
20232022
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$290,76457.1$295,65157.6
U.S. credit risk transfer (CRT) and other149,09829.3145,08728.3
International mortgage insurance/reinsurance69,47313.672,31514.1
Total$509,335100.0$513,053100.0
Risk In Force (RIF) (2):
U.S. primary mortgage insurance$75,52784.6$75,80684.8
U.S. credit risk transfer (CRT) and other6,1566.96,2457.0
International mortgage insurance/reinsurance7,5628.57,3698.2
Total$89,245100.0$89,420100.0

(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.

(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions. Such amounts are shown before external reinsurance.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2023:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$10,8593.7$2,7383.66.55%
20142,4420.86490.92.89%
20154,6911.61,2441.61.98%
20167,5252.62,0252.72.50%
20177,6002.62,0232.73.13%
20188,5122.92,2072.94.04%
201915,7675.44,0745.42.40%
202051,34917.713,35717.71.17%
202176,66726.419,81226.21.12%
202263,89922.016,75522.20.89%
202341,45314.310,64314.10.26%
Total$290,764100.0$75,527100.01.74%

(1)Represents the ending percentage of loans in default.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2022:

IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$12,9314.4$3,2224.37.07%
20143,6961.31,0121.32.61%
20156,2362.11,6802.22.08%
201610,2253.52,7443.62.66%
20179,5083.22,5213.33.06%
201810,2603.52,6253.54.11%
201919,0966.54,8406.42.36%
202065,14122.016,41421.71.20%
202189,62130.322,74030.00.95%
202268,93723.318,00823.80.20%
Total$295,651100.0$75,806100.01.77%

(1)Represents the ending percentage of loans in default.

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The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2023 and 2022:

December 31,
20232022
Amount%Amount%
Credit quality (FICO):
=740$46,79662.0$46,81261.8
680-73924,99033.124,94532.9
620-6793,4974.63,7725.0
6202440.32770.4
Total$75,527100.0$75,806100.0
Weighted average FICO score748750
Loan-to-Value (LTV):
95.01% and above$7,0679.4$7,2899.6
90.01% to 95.00%44,66959.143,68157.6
85.01% to 90.00%20,49027.120,85127.5
85.00% and below3,3014.43,9855.3
Total$75,527100.0$75,806100.0
Weighted average LTV93.0%92.8%
Total RIF, net of external reinsurance$58,146$57,151
December 31,
20232022
Amount%Amount%
Total RIF by State:
California$6,1628.2$6,3418.4
Texas5,9727.96,1518.1
North Carolina3,2484.33,1604.2
Georgia3,0814.13,1694.2
Minnesota3,0694.13,0034.0
Florida3,0074.03,2684.3
Illinois2,9864.03,0814.1
Massachusetts2,8583.82,8093.7
Michigan2,7733.72,6183.5
Virginia2,5783.42,6563.5
Others39,79352.739,55052.2
Total$75,527100.0$75,806100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2023 and 2022:

(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20232022
Rollforward of insured loans in default:
Beginning delinquent number of loans20,56727,645
New notices39,49636,396
Cures(39,704)(42,789)
Paid claims(902)(685)
Ending delinquent number of loans (1)19,45720,567
Ending number of policies in force (1)1,117,4801,160,219
Delinquency rate (1)1.74%1.77%
Losses:
Number of claims paid902685
Total paid claims$26,903$21,412
Average per claim$29.8$31.3
Severity (2)70.8%73.2%
Average reserve per default (in thousands) (1)$17.7$21.1

(1)    Includes first lien primary and pool policies.

(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 7.3 to 1 at December 31, 2023, compared to 7.2 to 1 at December 31, 2022.

Ceded Reinsurance

In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses

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reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.

The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”

For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 26.8% of gross premiums written for 2023, compared to 27.7% for 2022. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.

We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have

the unilateral power to direct those activities that are significant to its economic performance. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for additional information.

Premium Revenues and Related Expenses

Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.

Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally,

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only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.

Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”

The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2023:

December 31, 2023
Gross AmountAcquisition ExpensesNet Amount
Other specialty$1,510$(450)$1,060
Property excluding property catastrophe626(205)421
Casualty463(146)317
Marine and aviation213(44)169
Property catastrophe14(1)13
Other65(5)60
Total$2,891$(851)$2,040

Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.

A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.

Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.

Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.

Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.

Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned

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premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.

Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.

Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.

Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.

A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.

No premium deficiency charges were recorded by us during 2023 or 2022.

Net Deferred Income Tax Assets Measurement

On December 27, 2023 the Bermuda government enacted tax legislation referred to as the Corporate Income Tax Act 2023 (“Bermuda CIT Act”). The Bermuda CIT Act establishes a 15% corporate income tax, for in-scope businesses, for fiscal years beginning on or after January 1, 2025. The enacted legislation includes a provision referred to as the Economic Transition Adjustment, which requires Bermuda Constituent entities to establish tax basis in their assets and liabilities, excluding goodwill, based on fair value as of September 30, 2023. Fair value is defined as the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date.

Using fair value to establish tax basis in the assets and liabilities of our Bermuda entities results in deductible and taxable temporary differences which are reflected as deferred income tax assets and liabilities, respectively, in our financial statements. The enactment of Bermuda CIT Act resulted in the establishment of a $1.18 billion net deferred income tax asset. Such amount is included in “Other assets” on the Company’s balance sheet.

The most significant deferred income tax assets recognized relate to the fair value adjustments for identifiable intangible assets. We estimated the fair value of the identifiable intangible assets of our Bermuda entities using discounted cash flow (“DCF”) models. The significant assumptions utilized in the DCF models included the future revenue and profits expected to be generated by the identifiable intangible assets and the discount rates. See note 15, “Income Taxes” to our consolidated financial statements in Item 8 for disclosures concerning our Company’s deferred income tax asset.

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Fair Value Measurements

We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2023 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3(t), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

FINANCIAL CONDITION

Investable Assets

At December 31, 2023, total investable assets held by Arch were $34.6 billion.

Investable Assets Held by Arch

The Finance, Investment and Risk Committee (“FIR Committee”) of our Board of Directors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee. At December 31, 2023, approximately $21.9 billion, or 63%, of

total investable assets held by Arch were internally managed, compared to $18.8 billion, or 67%, at December 31, 2022.

The following table summarizes the fair value of investable assets held by Arch:

December 31,
20232022
Average effective duration (in years)2.912.89
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).

The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

Estimated Fair Value% of Total
December 31, 2023
U.S. government and gov’t agencies (1)$6,49326.8
AAA4,30517.8
AA2,1658.9
A4,62919.1
BBB5,05820.9
BB6982.9
B3891.6
Lower than B150.1
Not rated4842.0
Total$24,236100.0
December 31, 2022
U.S. government and gov’t agencies (1)$5,83128.8
AAA3,61717.9
AA2,21410.9
A3,99319.7
BBB3,32416.4
BB5602.8
B3771.9
Lower than B120.1
Not rated3091.5
Total$20,237100.0

(1)Includes U.S. government-sponsored agency residential mortgage backed securities and agency commercial mortgage backed securities.

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The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:

Severity of gross unrealized losses:Estimated Fair ValueGross Unrealized Losses% of Total Gross Unrealized Losses
December 31, 2023
0-10%$10,696$(410)49.7
10-20%2,282(367)44.5
20-30%116(35)4.2
Greater than 30%26(13)1.6
Total$13,120$(825)100.0
December 31, 2022
0-10%$12,343$(580)35.2
10-20%5,331(844)51.2
20-30%692(199)12.1
Greater than 30%44(24)1.5
Total$18,410$(1,647)100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2023, excluding guaranteed amounts and covered bonds:

Estimated Fair ValueCredit Rating (1)
Bank of America Corporation$383A-/A1
JPMorgan Chase & Co.361A-/A1
Morgan Stanley338A-/A1
The Goldman Sachs Group, Inc.230BBB+/A2
Citigroup Inc.229BBB+/A3
Wells Fargo & Company171BBB+/A1
Blue Owl Capital Inc.165BBB-/Baa3
Roche Holding AG147AA/Aa2
Blackstone Inc.138BBB/Baa3
UBS Group AG128A/A2
Total$2,290

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

The following table provides information on our structured securities, which include residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset backed securities (“ABS”):

AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2023
RMBS$658$445$$1,103
CMBS71,126801,213
ABS2,1431072,250
Total$665$3,714$187$4,566
Dec. 31, 2022
RMBS$645$134$16$795
CMBS18947821,047
ABS1,7881411,929
Total$663$2,869$239$3,771

The following table summarizes our equity securities, which include investments in exchange traded funds:

December 31,
20232022
Equities (1)$739$570
Exchange traded funds
Fixed income (2)285272
Equity and other (3)16932
Total$1,193$874

(1)Primarily in technology, consumer non-cyclical, communications, financial and industrials at December 31, 2023.

(2)Primarily in corporate at December 31, 2023.

(3)Primarily in large cap stocks, foreign equities, healthcare, technology and consumer discretionary at December 31, 2023.

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2023 and 2022 segregated by level in the fair value hierarchy.

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Reinsurance Recoverables

The following table details our reinsurance recoverables at December 31, 2023:

% of TotalA.M. Best Rating (1)
Somers Re (2)18.6A-
Hannover Rück SE4.7A+
Lloyd’s syndicates (3)4.3A
Munich Reinsurance America, Inc.3.3A+
Swiss Reinsurance America Corporation3.1A+
Everest Reinsurance Company2.9A+
Partner Reinsurance Company of the U.S.2.5A+
Fortitude Reinsurance Company Ltd.2.4A
RenaissanceRe Holdings Ltd.2.0A+
AXA XL2.0A+
All other -- “A-” or better21.0
All other -- rated carriers0.1
All other -- not rated (4)33.1
Total100.0

(1)    The financial strength ratings are as of January 5, 2024 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” and “A-” ratings are designated “Excellent.”

(2)    See note 12, “Variable Interest Entity and Noncontrolling Interests” and note 16, “Transactions with Related Parties.”

(3)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.

(4)    Over 95% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses

We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1, “Business—Reserves” for further details.

Shareholders’ Equity and Book Value per Share

Total shareholders’ equity available to Arch was $18.4 billion at December 31, 2023, compared to $12.9 billion at December 31, 2022. The 2023 period primarily reflected strong underwriting and investment returns along with the establishment of a net deferred income tax asset of $1.18 billion, or $3.16 per share, related to the enactment of Bermuda’s new corporate income tax.

The following table presents the calculation of book value per share:

(U.S. dollars in millions, except per share data)December 31,
20232022
Total shareholders’ equity available to Arch$18,353$12,910
Less preferred shareholders’ equity830830
Common shareholders’ equity available to Arch$17,523$12,080
Common shares and common share equivalents outstanding, net of treasury shares (1)373.3370.3
Book value per share$46.94$32.62

(1)    Excludes the effects of 12.5 million and 14.4 million stock options and 0.4 million and 0.6 million restricted stock and performance units outstanding at December 31, 2023 and 2022, respectively.

LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

In 2023, Arch Capital received dividends of $164 million from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer. Arch Re Bermuda can pay approximately $4.8 billion to Arch Capital in 2024 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).

Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from

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operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.

We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities, for the next twelve months, at a minimum.

Dividend Restrictions

Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.

We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.

In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets

Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2023 and 2022, such amounts approximated $9.9 billion and $8.7 billion, respectively.

Our investments in certain securities, including certain fixed income and structured securities, investments in funds

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accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $3.6 billion at December 31, 2023 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities:

Year Ended December 31,
20232022
Total cash provided by (used for):
Operating activities$5,749$3,816
Investing activities(5,468)(3,101)
Financing activities(69)(706)
Effects of exchange rate changes on foreign currency cash13(50)
Increase (decrease) in cash$225$(41)

Cash provided by operating activities for the 2023 period was higher than in the 2022 period. Activity for the 2023 period primarily reflected a higher level of premiums collected than in the 2022 period.

Cash used for investing activities for the 2023 period reflected higher net purchases than in the 2022 period, primarily reflecting the strong operating cash flows in 2023.

Cash used for financing activities for the 2023 period was lower than in the 2022 period. Activity for the 2022 period included $586 million of share repurchases.

Investments

At December 31, 2023, our investable assets were $34.6 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities. See Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

December 31,
20232022
Senior notes$2,726$2,725
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330330
Series G non-cumulative preferred shares500500
Common shareholders’ equity17,52312,080
Total$18,353$12,910
Total capital available to Arch$21,079$15,635
Senior notes to total capital (%)12.917.4
Revolving credit agreement borrowings to total capital (%)
Debt to total capital (%)12.917.4
Preferred to total capital (%)3.95.3
Debt and preferred to total capital (%)16.922.7

See note 19, “Debt and Financing Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

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Capital Adequacy

We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.

In addition, AMIC and UGRIC (together, “Arch MI U.S.”) are required to maintain compliance with the GSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 2023 with a PMIER sufficiency ratio of 213%, compared to 236% at December 31, 2022.

As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of the Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our Board deems relevant.

To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have

a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.

Share Repurchase Program

Our Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2023, Arch Capital has repurchased approximately 433.6 million common shares for an aggregate purchase price of $5.9 billion. At December 31, 2023, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.

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GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at December 31, 2023:

InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350%$300$298
June 30, 20503.635%1,000989
Arch-U.S.:
Nov. 1, 2043 (1)5.144%500495
Arch Finance:
Dec. 15, 2026 (1)4.011%500498
Dec. 15, 2046 (1)5.031%450446
Total$2,750$2,726

(1) Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.

During 2023 and 2022, we made interest payments of $127 million and $128 million, respectively, related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21,

“Shareholders’ Equity,” to our consolidated financial statements in Item 8.

The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

December 31, 2023December 31, 2022
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$17$145$7$79
Cash951110
Investment in operating affiliates45
Due from subsidiaries and affiliates2
Other assets58561830
Total assets$88$206$43$119
Liabilities
Senior notes1,2874951,287495
Due to subsidiaries and affiliates993991
Other liabilities38423737
Total liabilities1,3251,5301,3241,523
Non-cumulative preferred shares$830$$830$
December 31, 2023December 31, 2022
Year EndedArch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$2$4$2$1
Equity in net income (loss) of investments accounted for using the equity method(2)10
Total revenues22211
Expenses
Corporate expenses9398613
Interest expense59265926
Interest expense (intercompany)5122
Net foreign exchange (gains) losses
Total expenses1528614561
Income (loss) before income taxes(150)(84)(143)(50)
Income tax (expense) benefit411910
Income (loss) from operating affiliates(1)(1)
Net income available to Arch(110)(65)(144)(40)
Preferred dividends(40)(40)
Net income available to Arch common shareholders$(150)$(65)$(184)$(40)
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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2023:

Payment due by period
Total20242025 and 20262027 and 2028Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$22,752$6,523$7,197$3,479$5,553
Contractholder payables (2)1,817208363274972
Operating lease obligations22034584979
Purchase obligations148695722
Contingent and deferred consideration liabilities237844
Investing activities
Unfunded investment commitments (3)3,5873,587
Financing activities
Senior notes (including interest payments)5,0411277542143,946
Total contractual obligations and commitments$33,588$10,555$8,437$4,042$10,554

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(3)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.

Letter of Credit and Revolving Credit Facilities

In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On August 23, 2023, Arch Capital and certain of its subsidiaries amended the existing credit agreement (the “Credit Facility”). The Credit Facility, as amended, consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). At December 31, 2023, the Secured Facility had $273 million of letters of credit outstanding and remaining capacity of $152 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500 million.

The Credit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2023.

The commitments under the Credit Facility will expire on August 23, 2028, and all loans then outstanding under the Credit Facility must be repaid at such time. Letters of credit issued under the Credit Facility will not have an expiration date later than August 23, 2029.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.

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RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.

If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.

The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.

CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.

We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can

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be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.

For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.

Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2024, our modeled peak zone catastrophe exposure is a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $1.6 billion, followed by windstorms affecting the Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $1.4 billion and $1.3 billion, respectively. As of January 1, 2024, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 54% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (German windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster

Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2024, our modeled RDS loss was 7.0% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See Item 1A, “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

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MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2023. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.

The sensitivity analysis performed as of December 31, 2023 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2023 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.

The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all

interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2023 and 2022:

(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2023
Total fair value$33.6$33.1$32.7$32.2$31.7
Change from base3.0%1.5%(1.4)%(2.8)%
Change in unrealized value$0.98$0.49$(0.46)$(0.91)
Dec. 31, 2022
Total fair value$27.2$26.8$26.4$26.0$25.7
Change from base2.9%1.4%(1.4)%(2.7)%
Change in unrealized value$0.77$0.37$(0.37)$(0.71)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2023 and 2022:

(U.S. dollars in billions)Credit Spread Shift in Percentage
-100-50-+50+100
Dec. 31, 2023
Total fair value$33.8$33.2$32.7$32.1$31.5
Change from base3.4%1.7%(1.7)%(3.4)%
Change in unrealized value$1.11$0.56$(0.56)$(1.11)
Dec. 31, 2022
Total fair value$27.5$26.9$26.4$25.9$25.3
Change from base4.1%2.0%(2.0)%(4.1)%
Change in unrealized value$1.08$0.53$(0.53)$(1.08)
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Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2023, our portfolio’s 95th percentile VaR was estimated to be 7.8%, compared to an estimated 8.8% at December 31, 2022. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.

Equity Securities. At December 31, 2023 and 2022, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $1.0 billion and $0.8 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $101 million and $79 million at December 31, 2023 and 2022, respectively, and would have decreased book value per share by approximately $0.27 and $0.21, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $101 million and $79 million at December 31, 2023 and 2022, respectively, and would have increased book value per share by approximately $0.27 and $0.21, respectively.

Investment-Related Derivatives. At December 31, 2023, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $4.2 billion, compared to $6.6 billion at December 31, 2022. If the underlying exposure of each investment-related derivative held at December 31, 2023 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $42 million, and a decrease in book value per share of $0.11, compared to $66 million and $0.18, respectively, on investment-related derivatives held at December 31, 2022. If the underlying exposure of each investment-related derivative held at December 31, 2023 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $42 million, and an increase in book value per share of $0.11, compared to $66 million and $0.18, respectively, on investment-related derivatives held at December 31, 2022. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”

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Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

(U.S. dollars in millions, except per share data)December 31, 2023December 31, 2022
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(300)$(396)
Shareholders’ equity denominated in foreign currencies (1)1,1581,056
Net foreign currency forward contracts outstanding (2)246312
Net exposures denominated in foreign currencies$1,104$972
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity$(110)$(97)
Book value per share$(0.30)$(0.26)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity$110$97
Book value per share$0.30$0.26

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”

Effects of Inflation

General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will vary by the specific type of inflation affecting each line of business.

FY 2022 10-K MD&A

SEC filing source: 0000947484-23-000015.

Extracted structurally from real Item 7 body heading to real Item 7A/8 boundary. Confidence: high. Filing date: 2023-02-24. Report date: 2022-12-31.

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2022 and 2021. Comparisons between 2021 and 2020 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2021 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”

This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.

Page No.
Overview62
Current Outlook62
Financial Measures63
Comments on Non-GAAP Measures64
Results of Operations66
Insurance Segment67
Reinsurance Segment68
Mortgage Segment69
Corporate Segment71
Summary of Critical Accounting Estimates72
Financial Condition80
Liquidity83
Capital Resources85
Contractual Obligations and Commitments88
Ratings89
Catastrophic Events and Severe Economic Events89
Market Sensitive Instruments and Risk Management91
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OVERVIEW

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $15.6 billion in capital at December 31, 2022 and is part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the insurance and reinsurance markets.

The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, narrow terms and conditions, and strong underwriting profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a “soft” market, which has characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and lower underwriting profits for insurers. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.

The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.

Mortgage insurance and reinsurance is subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.

CURRENT OUTLOOK

As we head into 2023, our objective remains the same, to deliver long term value for our shareholders. Underwriting discipline is core to our culture and we are committed to agile cycle management with a focus on risk-adjusted returns. 2022 was our third consecutive year of sustained premium and revenue growth, supporting stronger and more stable earnings power for the near term. Reinsurance segment’s net premiums written grew 51% as the team seized on market dislocations while our insurance segment grew a robust 21%. We continue to see a broad array of opportunities to allocate capital where rates and terms and conditions allow for growth in attractive returns.

We continue to execute our cycle management strategy by actively allocating capital across a diversified, specialty portfolio where rates allow for returns that are higher than our cost of capital. While we continue to allocate more capital to our property and casualty segments, it is important to note that we have capitalized on attractive returns from our mortgage segment with $1.3 billion of underwriting income in 2022.

The catastrophic activity in 2022 has significantly increased pressure on property catastrophe markets, which could have a ripple effect across all property and casualty lines. As a result, we continue to show improved underwriting margins, partially due to the compounding of rate-on-rate increases and the rebalancing of our mix of business. We believe that this proven strategy of protecting capital through soft markets and increasing writings in hard markets gives us the best chance to generate superior risk adjusted returns over time.

In reinsurance, pricing for the January 1 renewals was strong. Property catastrophe pricing and terms both improved, leading to the effective rate changes in the 30% to 50% range. We anticipate that these trends will continue to the mid-year property catastrophe renewal period and should translate to strong property growth in 2023. As long as rate increases support returns above our required thresholds, we expect to continue to grow our writings. Rate improvements have enabled us to continue to expand writings in our property casualty segments.

In insurance, underwriting conditions remain opportunistic as pricing discipline, terms and conditions, and limits management are stable across most lines. This stability, combined with the uncertainties in the insurance market, should keep the market disciplined and sustain rate increases in most lines of business. Our specialty business in the U.K. and the U.S. operations benefited from growth in professional liability, including cyber insurance, as well as travel where we believe relative returns are attractive.

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Inflation continues to be a focus for our industry. We proactively analyze available data and we incorporate emerging trends into our pricing and reserving. We believe that this discipline, coupled with increases in future investment returns and prudent reserving, helps us somewhat mitigate inflation’s impact.

In mortgage, we continue to be thoughtful in how we manage our portfolio and, because of our diversified model, we have the ability to take a measured view of the business as just one component of our diversified enterprise. Our mortgage business continues to deliver consistent underwriting results, once again demonstrating its sustainable earnings model. Although higher interest rates affected new loan origination volume, our U.S. primary mortgage insurance in force grew to nearly $296 billion, reflecting a higher persistency rate. The credit quality of homebuyers remains excellent and we believe our portfolio is well positioned for a variety of economic scenarios.

We remain committed to providing solutions across many offerings as the marketplace evolves, including the mortgage credit risk transfer programs initiated by government sponsored enterprises, or (“GSEs”). In addition, we have entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda and have issued mortgage insurance linked notes, increasing our protection for mortgage tail risk. The Bellemeade structures provided approximately $4.0 billion of aggregate reinsurance coverage at December 31, 2022.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $32.62 at December 31, 2022, a 2.8% decrease from $33.56 at December 31, 2021. The decline in 2022 reflected negative total return on investments driven by rising interest rates on fixed maturities.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Our annualized net income return on average common equity was 11.6% for 2022, compared to 16.7% for 2021, with the lower return in 2022 primarily resulting from net realized losses and a lower level of income from equity method investments. Our Operating ROAE was 14.8% for 2022, compared to 11.5% for 2021, with the higher return in 2022 primarily resulting from strong underwriting performance and growth in net investment income, reflecting higher yields available on fixed income securities.

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Total Return on Investments

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses, excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns. See “Comment on Non-GAAP Financial Measures.”

The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:

Arch Portfolio (1)Benchmark Return
Year Ended December 31, 2022-6.45%-9.60%
Year Ended December 31, 20211.90%1.20%

(1) Our investment expenses were approximately 0.28% and 0.32%, respectively, of average invested assets in 2022 and 2021.

Total return for the 2022 period reflected rising interest rates on fixed maturities and weak equity markets. The overall position of our investment portfolio remains relatively unchanged as we remain cautious relative to duration, credit and equity risk.

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2022, the benchmark return index had an average credit quality of “Aa3” by Moody’s, an estimated duration of 3.16 years.

The benchmark return index included weightings to the following indices:

%
ICE BofAML US Corporates, A - AAA Rated 1-5 Yr Index13.00%
ICE BofAML 1-5 Year US Treasury Index12.00
ICE BofAML US Corporates, AAA-A 5-10 Year Index11.00
ICE BofAML US Corporates, BBB Rated 1-10 Yr Index5.00
JPM CLOIE Investment Grade5.00
ICE BofAML 1-5 Year UK Gilt Index4.25
ICE BofAML AAA US Fixed Rate CMBS Index4.00
ICE BofAML US Mortgage Backed Securities Index4.00
ICE BofAML German Government 1-10 Year Index4.00
MSCI ACWI Net Total Return USD Index4.00
Equity (MSCI ACWI)3.30
ICE BofAML 0-3 Month US Treasury Bill Index3.00
ICE BofAML 5-10 Year US Treasury Index3.00
ICE BofAML 1-10 Year US Municipal Securities Index3.00
Bloomberg Barclays ABS Aaa Total Return Index3.00
ICE BofAML 1-5 Year Canada Government Index2.50
ICE BofAML 1-5 Year Australia Government Index2.50
Morningstar LSTA US Leveraged Loan TR USD2.50
ICE BofAML US High Yield Constrained Index2.50
Senior Lending (S&P Leveraged Loan)2.48
Opportunistic Credit (Barclays Global HY)1.38
Distressed (Ice BofA CCC and Lower)1.38
Int'l Equity RE (DJ International RE)0.83
US RE Mezz (FTSE NAREIT Mortgage Plus Capped Index)0.83
US RE Senior (Barclays CMBS Erisa Eligible)0.83
ICE BofAML 15+ Year Canada Government Index0.50
ICE BofA 1-5 Year Japan Government Index0.25
Total100.0%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption of preferred shares and income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common

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shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize these items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.

The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other investments and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. The loss on redemption of preferred shares related to the redemption of the Company’s preferred shares had no impact on shareholders' equity or cash flows.

Due to these reasons noted above, we exclude net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares from the calculation of after-tax operating income available to Arch common shareholders.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies that follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate segment. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.

Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Through June 30, 2021, the ‘other’ segment included the results of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). Pursuant to GAAP, Somers was

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considered a variable interest entity and we concluded that we were the primary beneficiary of Somers. As such, we consolidated the results of Somers in our consolidated financial statements through June 30, 2021. In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. Based on the governing documents of Greysbridge, we concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Somers in our consolidated financial statements and footnotes. See note 12, “Variable Interest Entities and Noncontrolling Interests” and note 4, “Segment Information,” to our consolidated financial statements for additional information on Somers.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains or losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”

Year Ended December 31,
20222021
Net income available to Arch common shareholders$1,436,197$2,093,405
Net realized (gains) losses662,735(307,466)
Equity in net (income) loss of investments accounted for using the equity method(115,856)(366,402)
Net foreign exchange (gains) losses(100,988)(42,743)
Transaction costs and other1,0921,199
Loss on redemption of preferred shares15,101
Income tax expense (benefit) (1)(42,791)41,836
After-tax operating income available to Arch common shareholders$1,840,389$1,434,930
Beginning common shareholders’ equity$12,715,896$12,325,886
Ending common shareholders’ equity12,080,07312,715,896
Average common shareholders’ equity$12,397,985$12,520,891
Annualized net income return on average common equity %11.616.7
Annualized operating return on average common equity %14.811.5

(1) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

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Segment Information

We classify our businesses into three underwriting segments – insurance, reinsurance and mortgage – and two operating segments – corporate and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly, investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The following tables set forth our insurance segment’s underwriting results:

Year Ended December 31,
20222021% Change
Gross premiums written$6,930,864$5,867,73418.1
Premiums ceded(1,910,222)(1,719,541)
Net premiums written5,020,6424,148,19321.0
Change in unearned premiums(461,307)(521,725)
Net premiums earned4,559,3353,626,46825.7
Losses and loss adjustment expenses(2,782,945)(2,344,365)
Acquisition expenses(885,866)(606,265)
Other operating expenses(665,472)(558,906)
Underwriting income (loss)$225,052$116,93292.5
Underwriting Ratios% Point Change
Loss ratio61.0%64.6%(3.6)
Acquisition expense ratio19.4%16.7%2.7
Other operating expense ratio14.6%15.4%(0.8)
Combined ratio95.0%96.7%(1.7)

The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

Year Ended December 31,
20222021
Amount%Amount%
Professional lines$1,502,44829.9$1,177,14428.4
Property, energy, marine and aviation878,06717.5722,58217.4
Programs611,92212.2595,82414.4
Travel, accident and health484,8479.7305,3907.4
Construction and national accounts469,7179.4431,95210.4
Excess and surplus casualty460,7989.2359,4588.7
Warranty and lenders solutions139,2472.8146,9843.5
Other473,5969.4408,8599.9
Total$5,020,642100.0$4,148,193100.0

Net premiums written by the insurance segment were 21.0% higher in 2022 than in 2021. The increase in net premiums written reflected growth in professional lines and in property, primarily due to rate increases, new business opportunities and growth in existing accounts, and in travel, primarily due to new business and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20222021
Amount%Amount%
Professional lines$1,314,23628.8$942,81726.0
Property, energy, marine and aviation772,38816.9667,89218.4
Programs589,86012.9506,86714.0
Travel, accident and health491,84710.8255,5907.0
Construction and national accounts432,0209.5416,10711.5
Excess and surplus casualty393,3538.6318,0278.8
Warranty and lenders solutions127,2222.8153,9584.2
Other438,4099.6365,21010.1
Total$4,559,335100.0$3,626,468100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 25.7% higher in 2022 than in 2021, reflecting changes in net premiums written over the previous five quarters.

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Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

Year Ended December 31,
20222021
Current year61.6%65.0%
Prior period reserve development(0.6)%(0.4)%
Loss ratio61.0%64.6%

Current Year Loss Ratio.

The insurance segment’s current year loss ratio was 3.4 points lower in 2022 than in 2021. The 2022 loss ratio included 5.2 points of current year catastrophic event activity, primarily related to Hurricane Ian, Russia’s invasion of Ukraine and other natural catastrophes, compared to 5.6 points in 2021, primarily related to Hurricane Ida and winter storms Uri and Viola. The balance of the change in the 2022 loss ratios resulted, in part, from changes in mix of business.

Prior Period Reserve Development.

The insurance segment’s net favorable development was $25.3 million, or 0.6 points, for 2022, compared to $16.2 million, or 0.4 points, for 2021. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

The insurance segment’s underwriting expense ratio was 34.0% in 2022, compared to 32.1% in 2021, with the increase primarily due to changing mix of business and growth in lines with higher acquisition costs.

Reinsurance Segment

The following tables set forth our reinsurance segment’s underwriting results:

Year Ended December 31,
20222021% Change
Gross premiums written$6,948,438$5,093,93036.4
Premiums ceded(2,024,462)(1,839,556)
Net premiums written4,923,9763,254,37451.3
Change in unearned premiums(964,595)(413,931)
Net premiums earned3,959,3812,840,44339.4
Other underwriting income (loss)4,8713,669
Losses and loss adjustment expenses(2,568,843)(1,924,719)
Acquisition expenses(813,555)(536,754)
Other operating expenses(267,531)(212,810)
Underwriting income$314,323$169,82985.1
Underwriting Ratios% Point Change
Loss ratio64.9%67.8%(2.9)
Acquisition expense ratio20.5%18.9%1.6
Other operating expense ratio6.8%7.5%(0.7)
Combined ratio92.2%94.2%(2.0)

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Net Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

Year Ended December 31,
20222021
Amount%Amount%
Other specialty$1,982,59440.3$955,47429.4
Property excluding property catastrophe1,276,08325.91,004,08630.9
Casualty973,94819.8808,16424.8
Property catastrophe415,7258.4233,2607.2
Marine and aviation166,9333.4171,7535.3
Other108,6932.281,6372.5
Total$4,923,976100.0$3,254,374100.0

Net premiums written by the reinsurance segment were 51.3% higher in 2022 than in 2021. The growth in net premiums written reflected increases in most lines of business, primarily due to growth in existing accounts, new business, and rate increases. The 2022 fourth quarter was affected by a few non-recurring transactions, primarily impacting the other specialty line of business.

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Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20222021
Amount%Amount%
Other specialty$1,377,88034.8$818,80128.8
Property excluding property catastrophe1,091,44027.6836,57329.5
Casualty854,54321.6666,75423.5
Property catastrophe366,9919.3280,7389.9
Marine and aviation159,4014.0152,9555.4
Other109,1262.884,6223.0
Total$3,959,381100.0$2,840,443100.0

Net premiums earned in 2022 were 39.4% higher than in 2021, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.

Other Underwriting Income (Loss).

Other underwriting income in 2022 was $4.9 million, compared to $3.7 million in 2021.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

Year Ended December 31,
20222021
Current year69.7%74.1%
Prior period reserve development(4.8)%(6.3)%
Loss ratio64.9%67.8%

Current Year Loss Ratio.

The reinsurance segment’s current year loss ratio was 4.4 points lower in 2022 than in 2021. The 2022 loss ratio included 13.9 points for current year catastrophic event activity, primarily related to Hurricane Ian, Russia’s invasion of Ukraine and other global events, compared to 16.5 points in 2021. The balance of the change in the 2022 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $191.6 million, or 4.8 points, for 2022, compared to $178.8 million, or 6.3 points, for 2021, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the reinsurance segment was 27.3% in 2022, compared to 26.4% in 2021, with the increase primarily resulting from changes in mix of business to lines with higher acquisition costs and expenses related to favorable development of prior year loss reserves.

Mortgage Segment

The following tables set forth our mortgage segment’s underwriting results.

Year Ended December 31,
20222021% Change
Gross premiums written$1,454,971$1,507,825(3.5)
Premiums ceded(322,400)(246,757)
Net premiums written1,132,5711,261,068(10.2)
Change in unearned premiums26,79022,351
Net premiums earned1,159,3611,283,419(9.7)
Other underwriting income8,35617,665
Losses and loss adjustment expenses324,271(56,677)
Acquisition expenses(40,159)(97,418)
Other operating expenses(195,172)(194,010)
Underwriting income$1,256,657$952,97931.9
Underwriting Ratios% Point Change
Loss ratio(28.0)%4.4%(32.4)
Acquisition expense ratio3.5%7.6%(4.1)
Other operating expense ratio16.8%15.1%1.7
Combined ratio(7.7)%27.1%(34.8)

Premiums Written.

The following table sets forth our mortgage segment’s net premiums written by underwriting location (i.e., where the business is underwritten):

Year Ended December 31,
20222021
Net premiums written by underwriting location
United States$780,256$914,477
Other352,315346,591
Total$1,132,571$1,261,068

Gross premiums written by the mortgage segment in 2022 were 3.5% lower than in 2021. The reduction in gross premiums written primarily reflected a lower U.S. primary mortgage insurance single premium volume and a decrease in monthly premiums. Net premiums written for 2022 were 10.2% lower than in the 2021 period. Net premiums written for the 2022 period reflected a higher level of premiums ceded than in the 2021 period.

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The persistency rate of the U.S. primary portfolio of mortgage loans was 79.5% at December 31, 2022 compared to 62.4% at December 31, 2021, with the increase primarily reflecting a lower level of refinancing activity due to a higher interest rate environment. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.

Net Premiums Earned.

The following table sets forth our mortgage segment’s net premiums earned by underwriting location (i.e., where the business is underwritten):

Year Ended December 31,
20222021
Net premiums earned by underwriting location
United States$815,519$970,507
Other343,842312,912
Total$1,159,361$1,283,419

Net premiums earned for 2022 were 9.7% lower than in 2021 and reflected a decline in monthly premiums and an increase in ceded premiums earned, partially offset by growth in credit risk transfer business.

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions and our whole mortgage loan purchase and sell program, was $8.4 million for 2022, compared to $17.7 million for 2021.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

Year Ended December 31,
20222021
Current year19.8%17.6%
Prior period reserve development(47.8)%(13.2)%
Loss ratio(28.0)%4.4%

Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage

insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2022 or 2021.

Current Year Loss Ratio.

The mortgage segment’s current year loss ratio was 2.2 points higher in 2022 compared to 2021. The higher current year loss ratio for the 2022 period reflected a lower level of premiums earned in the U.S. primary mortgage insurance business combined with an increase in new delinquencies as well as an increase in estimated claim rates.

The percentage of loans in default on U.S. primary mortgage insurance decreased from 2.36% at December 31, 2021 to 1.77% at December 31, 2022.

We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.

Prior Period Reserve Development.

The mortgage segment’s net favorable development was $554.1 million, or 47.8 points, for 2022, compared to $169.6 million, or 13.2 points, for 2021. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the mortgage segment was 20.3% for 2022, compared to 22.7% for 2021, with the decrease primarily due to lower acquisition expenses on Australian mortgage insurance following the acquisition of Westpac LMI in the 2021 third quarter and profit commissions adjustments related to favorable development of prior year loss reserves. Such amounts were partially offset by a lower level of net premiums earned in the U.S. primary mortgage insurance business.

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Corporate Segment

The corporate segment results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income from operating affiliates and items related to our non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.

Net Investment Income.

The components of net investment income were derived from the following sources:

Year Ended December 31,
20222021
Fixed maturities$468,659$307,536
Equity securities22,49742,094
Short-term investments29,5196,799
Other (1)46,64768,411
Gross investment income567,322424,840
Investment expenses (2)(70,775)(78,032)
Net investment income$496,547$346,808

(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.

(2)    Investment expenses were approximately 0.28% of average invested assets for 2022, compared to 0.32% for 2021.

The pre-tax investment income yield was 1.99% for 2022, compared to 1.41% for 2021. The higher level of net investment income for 2022 compared to 2021 reflected higher yields available in the financial markets. The pre-tax investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.

Net Realized Gains (Losses).

We recorded net realized losses of $662.7 million for 2022, compared to net realized gains of $299.2 million for 2021. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains or losses as the portfolio is rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for

using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.

We recorded $115.9 million of equity in net income related to investments accounted for using the equity method for 2022, compared to $366.4 million for 2021. Investments accounted for using the equity method totaled $3.8 billion at December 31, 2022, compared to $3.1 billion at December 31, 2021. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.

Other Income (Loss)

Other loss for the 2022 period was $26.2 million, compared to other income of $10.2 million for the 2021 period. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.

Corporate Expenses.

Corporate expenses were $94.4 million for 2022, compared to $77.1 million for 2021. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.

Transaction Costs and Other.

Transaction costs and other were $1.1 million for the 2022 period consistent with $1.1 million for 2021. Amounts in both periods are primarily related to acquisition activity.

Amortization of Intangible Assets.

Amortization of intangible assets for 2022 was $106.2 million, compared to $82.1 million for 2021. Amounts in 2022 and 2021 primarily related to amortization of finite-lived intangible assets. The increase in amortization of intangible assets expense was a result of acquisitions closed during the 2021 period. See note 2, “Acquisitions."

Interest Expense.

Interest expense was $130.3 million for 2022, compared to $131.1 million for 2021. Interest expense primarily reflects amounts related to our outstanding senior notes.

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Net Foreign Exchange Gains or Losses.

Net foreign exchange gains for 2022 were $100.9 million, compared to net foreign exchange gains for 2021 of $42.9 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income before income taxes resulted in an expense of 5.1% for 2022, compared to an expense of 5.6% for 2021. The effective tax rate for the 2022 period included discrete income tax benefits of $40.6 million, compared to benefits of $39.3 million for 2021. The discrete tax items in both periods primarily related to the release of valuation allowances on certain deferred tax assets. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.

See note 15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2022 and 2021.

Income (Loss) from Operating Affiliates.

We recorded $73.9 million of net income from our operating affiliates in the 2022 period, compared to income of $264.7 million in the 2021 period. Results for the 2021 period included a one-time gain of $95.7 million recognized from the Company’s investment in Greysbridge and a one-time gain of $74.5 million recognized from the Company’s investment in Coface SA (“Coface”), a France-based leader in the global trade credit insurance market.

Loss on Redemption of Preferred Shares.

In 2021, we redeemed all 5.25% Series E preferred shares and recorded a loss of $15.1 million to remove original issuance costs related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES

The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.

Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

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At December 31, 2022 and 2021, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

December 31,
20222021
Insurance segment:
Case reserves$2,397,881$2,102,891
IBNR reserves4,934,5834,269,904
Total net reserves7,332,4646,372,795
Reinsurance segment:
Case reserves1,902,8991,733,571
Additional case reserves481,523426,531
IBNR reserves3,403,1092,656,527
Total net reserves5,787,5314,816,629
Mortgage segment:
Case reserves447,018741,897
IBNR reserves186,105226,604
Total net reserves633,123968,501
Total:
Case reserves4,747,7984,578,359
Additional case reserves481,523426,531
IBNR reserves8,523,7977,153,035
Total net reserves$13,753,118$12,157,925

At December 31, 2022 and 2021, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20222021
Professional lines$2,069,912$1,673,615
Construction and national accounts1,558,4661,490,206
Programs843,094793,187
Excess and surplus casualty786,494657,307
Property, energy, marine and aviation763,531599,093
Travel, accident and health138,81496,051
Warranty and lenders solutions46,73358,351
Other1,125,4201,004,985
Total net reserves$7,332,464$6,372,795

At December 31, 2022 and 2021, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20222021
Casualty$2,342,077$2,123,360
Other specialty1,475,7021,113,766
Property excluding property catastrophe993,454711,859
Property catastrophe535,844486,911
Marine and aviation291,548246,861
Other148,906133,872
Total net reserves$5,787,531$4,816,629

At December 31, 2022 and 2021, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20222021
U.S. primary mortgage insurance (1)$415,242$710,708
U.S. credit risk transfer (CRT) and other108,910112,549
International mortgage insurance/reinsurance108,971145,244
Total net reserves$633,123$968,501

(1)    At December 31, 2022, 33.8% of total net reserves represent policy years 2012 and prior and the remainder from later policy years. At December 31, 2021, 27.9% of total net reserves represent policy years 2012 and prior and the remainder from later policy years.

Potential Variability in Loss Reserves

The following tables summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2022 by underwriting segment and reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the lines of business included in each reserving line.

The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2022, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2022, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.

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INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$44,139$93,943
Third party occurrence business209,293100,645
Third party claims-made business385,410210,223
Multi-line and other specialty235,811104,475
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(44,139)$(60,941)
Third party occurrence business(207,906)(82,490)
Third party claims-made business(382,587)(173,800)
Multi-line and other specialty(197,682)(71,891)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$192,747$220,372
Other specialty140,889102,342
Property excluding property catastrophe41,745101,294
Property catastrophe31,77452,223
Marine and aviation14,52425,618
Other8,5415,591
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(192,743)$(167,558)
Other specialty(140,889)(147,647)
Property excluding property catastrophe(41,745)(99,642)
Property catastrophe(31,774)(32,967)
Marine and aviation(14,715)(27,465)
Other(8,541)(5,086)

It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2022 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.

For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2022 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 30% of the unpaid principal balance at December 31, 2022), we estimated that our loss reserves would change by approximately $21.0 million at December 31, 2022. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 37% at December 31, 2022), we estimated a $17.0 million change in our loss reserves at December 31, 2022.

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Simulation Results

In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.

At December 31, 2022, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:

Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss Reserves (1)$7,332,464$5,787,531$633,123$13,753,118
Simulation results:
90th percentile (2)$8,611,623$7,054,715$757,900$16,070,373
10th percentile (3)$6,091,636$4,614,229$517,006$11,544,929

(1)    Net of reinsurance recoverables.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.

(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $2.3 billion, or $6.14 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $2.2 billion, or $5.85 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates and

assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2022. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”

Mortgage Operations Supplemental Information

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2022 and 2021:

(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$295,65157.6$280,94561.0
U.S. credit risk transfer (CRT) and other (2)145,08728.3110,01823.9
International mortgage insurance/reinsurance (3)72,31514.169,65515.1
Total$513,053100.0$460,618100.0
Risk In Force (RIF) (4):
U.S. primary mortgage insurance$75,80684.8$70,61984.3
U.S. credit risk transfer (CRT) and other (2)6,2457.05,1206.1
International mortgage insurance/reinsurance (3)7,3698.27,9839.5
Total$89,420100.0$83,722100.0

(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.

(2)    Includes all CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.

(3)    International mortgage insurance and reinsurance with risk primarily located in Australia and to lesser extent Europe and Asia.

(4)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions.

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The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2022:

(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2012 and prior$9,9313.4$2,4243.28.41%
20133,0001.07981.11.85%
20143,6961.31,0121.32.61%
20156,2362.11,6802.22.08%
201610,2253.52,7443.62.66%
20179,5083.22,5213.33.06%
201810,2603.52,6253.54.11%
201919,0966.54,8406.42.36%
202065,14122.016,41421.71.20%
202189,62130.322,74030.00.95%
202268,93723.318,00823.80.20%
Total$295,651100.0$75,806100.01.77%

(1)Represents the ending percentage of loans in default.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2021:

(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2012 and prior$13,0304.6$2,9604.28.48%
20134,2061.51,1481.62.63%
20144,8221.71,3281.93.14%
20158,7033.12,3403.32.67%
201614,3445.13,8415.43.29%
201713,1284.73,4364.94.09%
201814,0465.03,5625.05.28%
201925,8419.26,4679.23.13%
202082,50229.420,34128.80.97%
2021100,32335.725,19635.70.29%
Total$280,945100.0$70,619100.02.36%

(1)Represents the ending percentage of loans in default.

The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2022 and 2021:

(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Credit quality (FICO):
=740$46,81261.8$42,45160.1
680-73924,94532.923,64633.5
620-6793,7725.04,1965.9
6202770.43260.5
Total$75,806100.0$70,619100.0
Weighted average FICO score750746
Loan-to-Value (LTV):
95.01% and above$7,2899.6$7,53810.7
90.01% to 95.00%43,68157.638,82955.0
85.01% to 90.00%20,85127.520,00628.3
85.00% and below3,9855.34,2466.0
Total$75,806100.0$70,619100.0
Weighted average LTV92.8%92.8%
Total RIF, net of external reinsurance$57,151$54,574
(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Total RIF by State:
California$6,3418.4$5,5597.9
Texas6,1518.15,5947.9
Florida3,2684.33,3034.7
Georgia3,1694.22,9024.1
North Carolina3,1604.22,9214.1
Illinois3,0814.12,9334.2
Minnesota3,0034.02,9164.1
Massachusetts2,8093.72,5373.6
Virginia2,6563.52,4463.5
Michigan2,6183.52,4923.5
Others39,55052.237,01652.4
Total$75,806100.0$70,619100.0
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The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2022 and 2021:

(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20222021
Rollforward of insured loans in default:
Beginning delinquent number of loans27,64552,234
New notices36,39635,554
Cures(42,789)(59,372)
Paid claims(685)(771)
Ending delinquent number of loans (1)20,56727,645
Ending number of policies in force (1)1,160,2191,171,835
Delinquency rate (1)1.77%2.36%
Losses:
Number of claims paid685771
Total paid claims$21,412$30,979
Average per claim$31.3$40.2
Severity (2)73.2%80.8%
Average reserve per default (in thousands) (1)$21.1$26.7

(1)    Includes first lien primary and pool policies.

(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 7.2 to 1 at December 31, 2022, compared to 8 to 1 at December 31, 2021.

Ceded Reinsurance

In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses

reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.

The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”

For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 27.7% of gross premiums written for 2022, compared to 29.3% for 2021. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.

We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have

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the unilateral power to direct those activities that are significant to its economic performance. As of December 31, 2022, our estimated off-balance sheet maximum exposure to loss from such entities was $26.8 million. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for additional information.

Premium Revenues and Related Expenses

Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.

Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the

brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.

Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”

The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2022:

December 31, 2022
Gross AmountAcquisition ExpensesNet Amount
Other specialty$1,211,598$(381,502)$830,096
Property excluding property catastrophe390,612(123,720)266,892
Casualty388,091(114,028)274,063
Marine and aviation203,125(43,922)159,203
Property catastrophe49,078(5,850)43,228
Other69,297(5,004)64,293
Total$2,311,801$(674,026)$1,637,775

Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.

A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing

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review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.

Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.

Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.

Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.

Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies

related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.

Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.

Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.

Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.

A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

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To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.

No premium deficiency charges were recorded by us during 2022 or 2021.

Fair Value Measurements

We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2022 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3(t), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

FINANCIAL CONDITION

Investable Assets

At December 31, 2022, total investable assets held by Arch were $28.1 billion.

Investable Assets Held by Arch

The Finance, Investment and Risk Committee (“FIR Committee”) of our Board of Directors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee. At December 31, 2022, approximately $18.8 billion, or 67%, of total investable assets held by Arch were internally managed, compared to $18.5 billion, or 67%, at December 31, 2021.

The following table summarizes the fair value of investable assets held by Arch:

December 31,
20222021
Average effective duration (in years)2.892.70
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3

(1)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).

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The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

Estimated Fair Value% of Total
December 31, 2022
U.S. government and gov’t agencies (1)$5,829,27928.8
AAA3,616,53717.9
AA2,214,49410.9
A3,993,47119.7
BBB3,324,09516.4
BB560,2132.8
B377,4621.9
Lower than B12,0290.1
Not rated309,3291.5
Total$20,236,909100.0
December 31, 2021
U.S. government and gov’t agencies (1)$5,063,19127.5
AAA3,783,38620.5
AA2,459,41313.4
A2,943,59416.0
BBB2,936,39815.9
BB501,5882.7
B371,7472.0
Lower than B43,7560.2
Not rated311,7341.7
Total$18,414,807100.0

(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.

The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:

Severity of gross unrealized losses:Estimated Fair ValueGross Unrealized Losses% of Total Gross Unrealized Losses
December 31, 2022
0-10%$12,342,899$(579,958)35.2
10-20%5,331,223(843,924)51.3
20-30%692,100(198,778)12.1
Greater than 30%44,023(23,739)1.4
Total$18,410,245$(1,646,399)100.0
December 31, 2021
0-10%$12,231,146$(166,867)97.6
10-20%16,884(2,412)1.4
20-30%2,593(759)0.4
Greater than 30%684(916)0.5
Total$12,251,307$(170,954)100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2022, excluding guaranteed amounts and covered bonds:

Estimated Fair ValueCredit Rating (1)
Bank of America Corporation$430,071A-/A2
JPMorgan Chase & Co.296,901A-/A1
Morgan Stanley290,477A-/A1
Citigroup Inc.270,074BBB+/A3
The Goldman Sachs Group, Inc.249,547BBB+/A2
Wells Fargo & Company242,538BBB+/A1
Blue Owl Capital Inc.164,098BBB-/Baa3
Blackstone Inc.150,691BBB-/Baa3
UBS Group AG130,244A/Aa3
Spring Funding II Llc121,221NA/NA
Total$2,345,862

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset backed securities (“ABS”):

AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2022
RMBS$645,008$133,958$16,425$795,391
CMBS17,680947,39682,1991,047,275
ABS1,787,684140,7851,928,469
Total$662,688$2,869,038$239,409$3,771,135
Dec. 31, 2021
RMBS$268,229$129,296$10,952$408,477
CMBS22,198926,30297,9841,046,484
ABS2,543,907152,5512,696,458
Total$290,427$3,599,505$261,487$4,151,419

The following table summarizes our equity securities, which include investments in exchange traded funds:

December 31,
20222021
Equities (1)$569,239$883,722
Exchange traded funds
Fixed income (2)272,407455,467
Equity and other (3)32,115491,474
Total$873,761$1,830,663

(1)Primarily in healthcare, technology, consumer cyclical and non-cyclical and industrials at December 31, 2022.

(2)Primarily in corporate at December 31, 2022.

(3)Primarily in large cap stocks, foreign equities, healthcare, technology and consumer discretionary at December 31, 2022.

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2022 and 2021 segregated by level in the fair value hierarchy.

Reinsurance Recoverables

The following table details our reinsurance recoverables at December 31, 2022:

% of TotalA.M. Best Rating (1)
Somers Re (2)17.7A-
Hannover Rück SE4.6A+
Lloyd’s syndicates (3)3.6A
Swiss Reinsurance America Corporation3.3A+
Everest Reinsurance Company3.2A+
Munich Reinsurance America, Inc.3.1A+
Fortitude Reinsurance Company Ltd.2.9A
Partner Reinsurance Company of the U.S.2.9A+
XL Re2.5A+
Berkley Insurance Company2.0A+
All other -- “A-” or better23.0
All other -- rated carriers0.1
All other -- not rated (4)31.1
Total100.0

(1)    The financial strength ratings are as of February 6, 2023 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”

(2)    See note 12, “Variable Interest Entity and Noncontrolling Interests” and note 16, “Transactions with Related Parties.”

(3)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.

(4)    Over 95% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses

We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1 “Business—Reserves” for further details.

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Shareholders’ Equity and Book Value per Share

Total shareholders’ equity available to Arch was $12.9 billion at December 31, 2022, compared to $13.5 billion at December 31, 2021. The 2022 period primarily reflected the impact of rising interest rates on our fixed income portfolio and the elevated catastrophe activity we experienced during the year.

The following table presents the calculation of book value per share:

(U.S. dollars in thousands, except share data)December 31,
20222021
Total shareholders’ equity available to Arch$12,910,073$13,545,896
Less preferred shareholders’ equity830,000830,000
Common shareholders’ equity available to Arch$12,080,073$12,715,896
Common shares and common share equivalents outstanding, net of treasury shares (1)370,345,997378,923,894
Book value per share$32.62$33.56

(1)    Excludes the effects of 14,420,901 and 17,083,160 stock options and 557,003 and 729,636 restricted stock and performance units outstanding at December 31, 2022 and 2021, respectively.

LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

In 2022, Arch Capital received dividends of $0.7 billion from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer which can pay approximately $3.7 billion to Arch Capital in 2023 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).

Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.

We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities, for the next twelve months, at a minimum.

Dividend Restrictions

Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

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Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.

We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.

In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets

Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2022 and 2021, such amounts approximated $8.7 billion and $8.2 billion, respectively.

Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we

may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $2.9 billion at December 31, 2022 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment:

Year Ended December 31,
20222021
Total cash provided by (used for):
Operating activities$3,815,227$3,380,700
Investing activities(3,102,055)(1,870,885)
Financing activities(705,726)(1,243,613)
Effects of exchange rate changes on foreign currency cash(48,889)(30,524)
Increase (decrease) in cash$(41,443)$235,678

Cash provided by operating activities for the 2022 period reflected a higher level of premiums collected than in the 2021 period.

Cash used for investing activities for the 2022 period reflected a higher level of purchases of fixed income securities than in the 2021 period, while the 2021 period reflected cash used for our investment in Coface and Somers.

Cash used for financing activities for the 2022 period primarily reflected $585.8 million of repurchases under our share repurchase program, compared to $1.2 in the 2021 period.

Investments

At December 31, 2022, our investable assets were $28.1 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to

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sell securities at distressed prices or access credit facilities. Please refer to Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

(U.S. dollars in thousands, except share data)December 31,
20222021
Senior notes$2,725,410$2,724,394
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330,000330,000
Series G non-cumulative preferred shares500,000500,000
Common shareholders’ equity12,080,07312,715,896
Total$12,910,073$13,545,896
Total capital available to Arch$15,635,483$16,270,290
Senior notes to total capital (%)17.416.7
Revolving credit agreement borrowings to total capital (%)
Debt to total capital (%)17.416.7
Preferred to total capital (%)5.35.1
Debt and preferred to total capital (%)22.721.8

See note 19, “Debt and Financing Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

Capital Adequacy

We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.

In addition, AMIC and UGRIC (together, “Arch MI U.S.”) are required to maintain compliance with the GSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 2022 with a PMIER sufficiency ratio of 236%, compared to 197% at December 31, 2021.

As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of the Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our Board deems relevant.

To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have

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a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.

Share Repurchase Program

Our Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2022, Arch Capital has repurchased approximately 433.6 million common shares for an aggregate purchase price of $5.9 billion. At December 31, 2022, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.

GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at December 31, 2022:

InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350%$300,000$297,618
June 30, 20503.635%1,000,000988,949
Arch-U.S.:
Nov. 1, 2043 (1)5.144%500,000495,188
Arch Finance:
Dec. 15, 2026 (1)4.011%500,000498,073
Dec. 15, 2046 (1)5.031%450,000445,582
Total$2,750,000$2,725,410

(1) Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.

During 2022 and 2021, we made interest payments of $128.4 million and $131.0 million respectively, related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.

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The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

December 31, 2022December 31, 2021
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$7,282$78,766$2,038$137,124
Cash11,3939,54216,31718,392
Investment in operating affiliates5,2596,877
Due from subsidiaries and affiliates1,55421126,000
Other assets17,20330,3119,60437,040
Total assets$42,691$118,621$34,847$218,556
Liabilities
Senior notes1,286,567495,1881,286,208495,063
Due to subsidiaries and affiliates991,070521,839
Other liabilities37,23936,40524,76747,410
Total liabilities1,323,8061,522,6631,310,9751,064,312
Non-cumulative preferred shares$830,000$$830,000$
December 31, 2022December 31, 2021
Year EndedArch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$2,058$1,341$1,524$11,596
Net realized gains (losses)29(346)72,437
Equity in net income (loss) of investments accounted for using the equity method10,22818,149
Total revenues2,08711,2231,524102,182
Expenses
Corporate expenses85,99712,50271,8185,875
Interest expense58,75948,19958,74147,292
Net foreign exchange (gains) losses(1)7
Total expenses144,75560,701130,56653,167
Income (loss) before income taxes(142,668)(49,478)(129,042)49,015
Income tax (expense) benefit10,097(12,513)
Income (loss) from operating affiliates(1,047)(590)
Net income available to Arch(143,715)(39,381)(129,632)36,502
Preferred dividends(40,736)(48,343)
Loss on redemption of preferred shares(15,101)
Net income available to Arch common shareholders$(184,451)$(39,381)$(193,076)$36,502
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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2022:

Payment due by period
Total20232024 and 20252026 and 2027Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$20,031,943$5,687,045$6,410,819$3,030,790$4,903,289
Deposit accounting liabilities (2)10,3765,4491,5193653,043
Contractholder payables (3)1,733,984549,050602,897239,833342,204
Operating lease obligations175,28431,92254,86239,91848,582
Purchase obligations150,05383,07864,9522,023
Investing activities
Unfunded investment commitments (4)2,922,6632,922,663
Financing activities
Senior notes (including interest payments)5,166,889126,815253,629733,5744,052,871
Total contractual obligations and commitments$30,191,192$9,406,022$7,388,678$4,046,503$9,349,989

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.

(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(4)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.

Letter of Credit and Revolving Credit Facilities

In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On April 7, 2022, Arch Capital and certain of its subsidiaries amended its existing credit agreement into a $925.0 million facility (the “Credit Facility”) with a syndication of lenders. The Credit Facility, as amended, consists of a $425.0 million secured facility for letters of credit (the “Secured Facility”) and a $500.0 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower under the Secured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.25 billion. Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on Secured Overnight Financing Rate (“SOFR”). Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. At December 31, 2022,

the Secured Facility had $323.1 million of letters of credit outstanding and remaining capacity of $101.9 million, and the Unsecured Facility had no outstanding revolving loans or letters of credit, with remaining capacity of $500.0 million.

The Credit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2022.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.

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RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.

If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.

The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.

CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.

We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can

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be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.

For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.

Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2023, our modeled peak zone catastrophe exposure is a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $970 million, followed by windstorms affecting the Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $908 million and $903 million, respectively. As of January 1, 2023, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 60% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (U.K. windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster

Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2023, our modeled RDS loss was 12.3% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

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MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2022. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.

The sensitivity analysis performed as of December 31, 2022 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2022 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.

The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all

interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2022 and 2021:

(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2022
Total fair value$27.19$26.79$26.42$26.05$25.71
Change from base2.9%1.4%(1.4)%(2.7)%
Change in unrealized value$0.77$0.37$(0.37)$(0.71)
Dec. 31, 2021
Total fair value$25.79$25.44$25.21$24.75$24.43
Change from base2.3%0.9%(1.8)%(3.1)%
Change in unrealized value$0.58$0.23$(0.45)$(0.78)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2022 and 2021:

(U.S. dollars in billions)Credit Spread Shift in Percentage
-100-50-+50+100
Dec. 31, 2022
Total fair value$27.50$26.95$26.42$25.89$25.34
Change from base4.1%2.0%(2.0)%(4.1)%
Change in unrealized value$1.08$0.53$(0.53)$(1.08)
Dec. 31, 2021
Total fair value$26.17$25.69$25.21$24.72$24.24
Change from base3.8%1.9%(1.9)%(3.8)%
Change in unrealized value$0.97$0.48$(0.48)$(0.97)

Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th

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percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2022, our portfolio’s 95th percentile VaR was estimated to be 8.8%, compared to an estimated 4.8% at December 31, 2021. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.

Equity Securities. At December 31, 2022 and 2021, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $0.8 billion and $1.4 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $79.1 million and $137.5 million at December 31, 2022 and 2021, respectively, and would have decreased book value per share by approximately $0.21 and $0.36, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $79.1 million and $137.5 million at December 31, 2022 and 2021, respectively, and would have increased book value per share by approximately $0.21 and $0.36, respectively.

Investment-Related Derivatives. At December 31, 2022, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $6.6 billion, compared to $6.4 billion at December 31, 2021. If the underlying exposure of each investment-related derivative held at December 31, 2022 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $66.3 million, and a decrease in book value per share of $0.18, compared to $63.8 million and $0.17, respectively, on investment-related derivatives held at December 31, 2021. If the underlying exposure of each investment-related derivative held at December 31, 2022 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $66.3 million, and an increase in book value per share of $0.18, compared to $63.8 million and $0.17, respectively, on investment-related derivatives held at December 31, 2021. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”

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Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

(U.S. dollars in thousands, except per share data)December 31, 2022December 31, 2021
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(396,305)$(825,371)
Shareholders’ equity denominated in foreign currencies (1)1,056,2131,095,706
Net foreign currency forward contracts outstanding (2)311,51915,151
Net exposures denominated in foreign currencies$971,427$285,486
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity$(97,143)$(28,549)
Book value per share$(0.26)$(0.08)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity$97,143$28,549
Book value per share$0.26$0.08

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”

Effects of Inflation

General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled and will vary by the specific type of inflation affecting each line of business.

FY 2021 10-K MD&A

SEC filing source: 0000947484-22-000015.

Extracted structurally from real Item 7 body heading to real Item 7A/8 boundary. Confidence: high. Filing date: 2022-02-25. Report date: 2021-12-31.

ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 2021 and 2020. Comparisons between 2020 and 2019 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 2020 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “Cautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.”

This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.

GENERAL

Overview

Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda exempted company with approximately $16.3 billion in capital at December 31, 2021. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada, Australia and Hong Kong, we write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the insurance and reinsurance markets.

The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, a “hard” market is evidenced by high premium rates, restrictive underwriting standards, favorable terms and conditions, and underwriting gains. A hard market is eventually followed by

a “soft” market which has the opposite characteristics of low premium rates, relaxed underwriting standards, broader terms and conditions, and underwriting losses. Market conditions in the property and casualty arena may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.

The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.

Mortgage insurance and reinsurance is subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.

Current Outlook

Our three areas of focus during the year have remained constant. In our property and casualty segments we continued to focus and grow in sectors where rates allow for returns that are substantially higher than our cost of capital. Our mortgage insurance segment has transitioned, for the most part, from forbearance to recovery and produced results that made a significant contribution to our underwriting income. We have also continued to focus on actively managing our investments and capital to enhance our returns.

In keeping with our longstanding underwriting approach, we look for acceptable books of business to underwrite without sacrificing discipline. Our corporate culture of being patient in soft markets while maintaining an agile mindset is a key to our success and allows us to seize opportunities when the odds for success are more in our favor. The 2021 year reflected the benefits of attractive pricing in almost all of our insurance markets. As a result, we currently expect favorable market conditions to continue in 2022, partially due to the compounding of rate-on-rate increases and the rebalancing of our mix of business. We believe that this time-tested strategy of protecting capital through soft markets and increasing our writings in hard markets gives us the best chance to generate superior risk adjusted returns over time. As long as rate increases support returns above our required thresholds, we expect to continue to grow our writings.

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The property casualty industry is facing many degrees of uncertainty, including heightened catastrophe activity, rising inflation, COVID’s ongoing influence on the global economy and perennially low interest rates. These factors continue to influence the trajectory and market acceptance of rate increases and reinforce why we remain optimistic that improved economics in the property casualty market will be sustainable for some time.

Rate improvements have enabled us to continue to expand writings in our property casualty segments as we have been for two years now. Rate momentum remained healthy and rate increases were well above the long-term loss cost trends and have spread to more lines than last year. Our early focus on Lloyd’s and business in the U.K. has improved our scale and our economics in this market. Some of our business lines that were most impacted by COVID, like travel, are recapturing some of the lost volume as both business and consumer travel increases.

In reinsurance, strong growth was observed across most of our lines of business, a reflection of our diversified specialty mix of business and our larger participation in quota share reinsurance which allows us to participate in the improved premium rates of cedents more directly. We continue to write a portion of our overall book in catastrophe exposed business, which has the potential to increase the volatility of our operating results. While property catastrophe rates were up broadly at January 1, 2022 renewals, the increases were not enough for us to deploy more capital into our peak zones. However, we found many opportunities to grow in the other 93% of our reinsurance business that is specialty in nature, including property excluding property catastrophe.

For our U.S. primary mortgage operations, delinquencies continue to be lower than our expectations at the beginning of the COVID-19 pandemic. Overall, the U.S. market remains competitive but rational and our mortgage business continues to generate returns on capital in the mid teens. Outside of the U.S., we increased our writings in Australia as a result of the housing market remaining strong and due to our acquisition of Westpac’s LMI business.

We remain committed to providing solutions across many offerings as the marketplace evolves, including the mortgage credit risk transfer programs initiated by government sponsored enterprises (“GSEs”). In addition, we enter into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda and issue mortgage insurance linked notes, increasing our protection for mortgage tail risk. The Bellemeade structures provide approximately $4.6 billion of aggregate reinsurance coverage at December 31, 2021.

FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:

Book Value per Share

Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $33.56 at December 31, 2021, a 10.7% increase from $30.31 at December 31, 2020. The growth in 2021 reflected strong underwriting returns and income from operating affiliates.

Operating Return on Average Common Equity

Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other, net of income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.” Our Operating ROAE was 11.5% for 2021, compared to 4.8% for 2020. Returns for the 2021 period reflected strong underwriting returns and income from operating affiliates, while the 2020 period reflected the impact of COVID-19 on underwriting results.

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Total Return on Investments

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis before investment expenses, excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated for Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns.

The following table summarizes the pre-tax total return (before investment expenses) of investments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:

Arch Portfolio (1)Benchmark Return
Pre-tax total return (before investment expenses):
Year Ended December 31, 20211.90%1.20%
Year Ended December 31, 20207.77%7.16%

(1) Our investment expenses were approximately 0.32% and 0.31%, respectively, of average invested assets in 2021 and 2020.

Total return for our investment portfolio outperformed the benchmark return index in 2021 and reflected the impact of strong returns on alternatives and equities, partially offset by low returns on our fixed income portfolio.

The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2021, the benchmark return index had an average credit quality of “Aa3” by Moody’s, an estimated duration of 3.14 years.

The benchmark return index included weightings to the following indices:

%
ICE BoAML 1-10 Year A - AAA U.S. Corporate Index21.00%
ICE BoAML 1-5 Year U.S. Treasury Index15.00
MSCI ACWI Net Total Return USD Index8.60
ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00
S&P Leveraged Loan Total Return Index5.20
Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index5.00
ICE BoAML 1-10 Year BBB U.S. Corporate Index4.00
ICE BoAML U.S. Mortgage Backed Securities Index4.00
ICE BoAML 1-5 Year U.K. Gilt Index4.00
ICE BoAML German Government 1-10 Year Index3.50
ICE BoAML 0-3 Month U.S. Treasury Bill Index3.25
ICE BoAML 1-10 Year U.S. Municipal Securities Index3.00
ICE BoAML 5-10 Year U.S. Treasury Index3.00
ICE BoAML 1-5 Year Australia Government Index2.75
ICE BoAML U.S. High Yield Constrained Index2.50
ICE BoAML 1-5 Year Canada Government Index2.00
Bloomberg Barclays Global High Yield Total Return Index1.50
Hedge Fund Research HFRX ED Distressed Restructuring Index (Flagship Funds)1.50
Dow Jones Global ex-US Select Real Estate Securities Total Return Net Index0.90
FTSE Nareit All Mortgage Capped Index Total Return USD0.90
Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD0.90
ICE BoAML 20+ Year Canada Government Index0.50
Total100.00%

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.

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We believe that net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize investment gains or losses, the recognition of the change in the carrying value of investments accounted for using the fair value option in net realized gains or losses, the recognition of net impairment losses, the recognition of equity in net income or loss of investments accounted for using the equity method and the recognition of foreign exchange gains or losses are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization. The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other fixed maturity securities and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments. Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. The loss on redemption of preferred shares related to the redemption of the Company's Series E preferred shares in September 2021 had no impact on shareholders' equity or cash flows. Due to these reasons, we exclude net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares from the calculation of after-tax operating income available to Arch common shareholders.

We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies which follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.

Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate segment. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment.

Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Through June 30, 2021, the ‘other’ segment included the results of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). Pursuant to GAAP, Somers was

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considered a variable interest entity and we concluded that we were the primary beneficiary of Somers. As such, we consolidated the results of Somers in our consolidated financial statements through June 30, 2021. In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. Based on the governing documents of Greysbridge, we concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Somers in our consolidated financial statements and footnotes.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.

Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.

RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders.

Year Ended December 31,
20212020
Net income available to Arch common shareholders$2,093,405$1,363,909
Net realized (gains) losses(307,466)(814,808)
Equity in net (income) loss of investments accounted for using the equity method(366,402)(146,693)
Net foreign exchange (gains) losses(42,743)80,591
Transaction costs and other1,1999,964
Loss on redemption of preferred shares15,101
Income tax expense (benefit) (1)41,83664,145
After-tax operating income available to Arch common shareholders$1,434,930$557,108
Beginning common shareholders’ equity$12,325,886$10,717,371
Ending common shareholders’ equity12,715,89612,325,886
Average common shareholders’ equity$12,520,891$11,521,629
Annualized net income return on average common equity %16.711.8
Annualized operating return on average common equity %11.54.8

(1)Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

Results in all periods presented reflected the impact of current insurance and reinsurance market conditions and the impact of low interest yields on our investment portfolio.

Segment Information

We classify our businesses into three underwriting segments– insurance, reinsurance and mortgage– and two operating segments– corporate and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Underwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and

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accordingly, investment income is not allocated to each underwriting segment.

We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The following tables set forth our insurance segment’s underwriting results:

Year Ended December 31,
20212020% Change
Gross premiums written$5,867,734$4,688,56225.1
Premiums ceded(1,719,541)(1,525,655)
Net premiums written4,148,1933,162,90731.2
Change in unearned premiums(521,725)(291,487)
Net premiums earned3,626,4682,871,42026.3
Other underwriting income(31)
Losses and loss adjustment expenses(2,344,365)(2,092,453)
Acquisition expenses(606,265)(418,483)
Other operating expenses(558,906)(489,153)
Underwriting income (loss)$116,932$(128,700)190.9
Underwriting Ratios% Point Change
Loss ratio64.6%72.9%(8.3)
Acquisition expense ratio16.7%14.6%2.1
Other operating expense ratio15.4%17.0%(1.6)
Combined ratio96.7%104.5%(7.8)

The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Premiums Written.

The following tables set forth our insurance segment’s net premiums written by major line of business:

Year Ended December 31,
20212020
Amount%Amount%
Professional lines$1,177,14428.4$743,48623.5
Property, energy, marine and aviation770,95418.6619,03419.6
Programs595,82414.4437,97313.8
Construction and national accounts383,5809.2364,10411.5
Excess and surplus casualty359,4588.7297,3309.4
Travel, accident and health305,3907.4212,9746.7
Lenders products146,9843.5156,1194.9
Other408,8599.9331,88710.5
Total$4,148,193100.0$3,162,907100.0

Net premiums written by the insurance segment were 31.2% higher in 2021 than in 2020. The higher level of net premiums written reflected increases across most lines of business, due in part to new business opportunities, rate increases and growth in existing accounts.

Net Premiums Earned.

The following tables set forth our insurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20212020
Amount%Amount%
Professional lines$942,81726.0$655,87222.8
Property, energy, marine and aviation702,69319.4517,24718.0
Programs506,86714.0432,85415.1
Construction and national accounts381,30610.5387,93413.5
Excess and surplus casualty318,0278.8270,6209.4
Travel, accident and health255,5907.0190,9446.6
Lenders products153,9584.2114,6874.0
Other365,21010.1301,26210.5
Total$3,626,468100.0$2,871,420100.0

Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 26.3% higher in 2021 than in 2020, reflecting changes in net premiums written over the previous five quarters.

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Losses and Loss Adjustment Expenses.

The table below shows the components of the insurance segment’s loss ratio:

Year Ended December 31,
20212020
Current year65.0%73.2%
Prior period reserve development(0.4)%(0.3)%
Loss ratio64.6%72.9%

Current Year Loss Ratio.

The insurance segment’s current year loss ratio was 8.2 points lower in 2021 than in 2020. The 2021 loss ratio included 5.6 points of current year catastrophic event activity, primarily related to Hurricane Ida and winter storms Uri and Viola, compared to 9.5 points in 2020, which included exposure to the COVID-19 global pandemic. The balance of the change in the 2021 loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.

Prior Period Reserve Development.

The insurance segment’s net favorable development was $16.2 million, or 0.4 points, for 2021, compared to $7.8 million, or 0.3 points, for 2020. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.

Underwriting Expenses.

The insurance segment’s underwriting expense ratio was 32.1% in 2021, compared to 31.6% in 2020, with the increase primarily reflected growth in lines of business with higher acquisition costs, partially offset by growth in net premiums earned.

Reinsurance Segment

The following tables set forth our reinsurance segment’s underwriting results:

Year Ended December 31,
20212020% Change
Gross premiums written$5,093,930$3,472,08646.7
Premiums ceded(1,839,556)(1,014,716)
Net premiums written3,254,3742,457,37032.4
Change in unearned premiums(413,931)(295,141)
Net premiums earned2,840,4432,162,22931.4
Other underwriting income (loss)3,6694,454
Losses and loss adjustment expenses(1,924,719)(1,628,320)
Acquisition expenses(536,754)(354,048)
Other operating expenses(212,810)(168,011)
Underwriting income$169,829$16,304941.6
Underwriting Ratios% Point Change
Loss ratio67.8%75.3%(7.5)
Acquisition expense ratio18.9%16.4%2.5
Other operating expense ratio7.5%7.8%(0.3)
Combined ratio94.2%99.5%(5.3)

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Premiums Written.

The following tables set forth our reinsurance segment’s net premiums written by major line of business:

Year Ended December 31,
20212020
Amount%Amount%
Property excluding property catastrophe$1,004,08630.9$697,08628.4
Other Specialty955,47429.4709,30828.9
Casualty808,16424.8542,31922.1
Property catastrophe233,2607.2286,21011.6
Marine and aviation171,7535.3141,4145.8
Other81,6372.581,0333.3
Total$3,254,374100.0$2,457,370100.0

Gross premiums written by the reinsurance segment in 2021 were 46.7% higher than in 2020, while net premiums written were 32.4% higher than in 2020. The growth in net premiums written reflected increases in most lines of business, primarily due to growth in existing accounts, new business, and rate increases.

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Net Premiums Earned.

The following tables set forth our reinsurance segment’s net premiums earned by major line of business:

Year Ended December 31,
20212020
Amount%Amount%
Property excluding property catastrophe$836,57329.5$562,20826.0
Other Specialty818,80128.8626,40929.0
Casualty666,75423.5549,05625.4
Property catastrophe280,7389.9237,73611.0
Marine and aviation152,9555.4109,6245.1
Other84,6223.077,1963.6
Total$2,840,443100.0$2,162,229100.0

Net premiums earned in 2021 were 31.4% higher than in 2020, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.

Other Underwriting Income (Loss).

Other underwriting income in 2021 was $3.7 million, compared to $4.5 million in 2020.

Losses and Loss Adjustment Expenses.

The table below shows the components of the reinsurance segment’s loss ratio:

Year Ended December 31,
20212020
Current year74.1%81.5%
Prior period reserve development(6.3)%(6.2)%
Loss ratio67.8%75.3%

Current Year Loss Ratio.

The reinsurance segment’s current year loss ratio was 7.4 points lower in 2021 than in 2020. The 2021 loss ratio included 16.5 points for current year catastrophic event activity, primarily related to Hurricane Ida and winter storms Uri and Viola, as well as other minor global events, compared to 20.1 points in 2020. The 2020 period loss ratio included exposure to the COVID-19 pandemic. The balance of the change in the 2021 current year loss ratio resulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional losses.

Prior Period Reserve Development.

The reinsurance segment’s net favorable development was $178.8 million, or 6.3 points, for 2021, compared to $134.0 million, or 6.2 points, for 2020, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the reinsurance segment was 26.4% in 2021, compared to 24.2% in 2020, with the increase primarily resulting from changes in mix of business to lines with higher acquisition costs and expenses related to favorable development of prior year loss reserves.

Mortgage Segment

The following tables set forth our mortgage segment’s underwriting results.

Year Ended December 31,
20212020% Change
Gross premiums written$1,507,825$1,473,9992.3
Premiums ceded(246,757)(194,149)
Net premiums written1,261,0681,279,850(1.5)
Change in unearned premiums22,351118,085
Net premiums earned1,283,4191,397,935(8.2)
Other underwriting income17,66520,316
Losses and loss adjustment expenses(56,677)(528,344)
Acquisition expenses(97,418)(134,240)
Other operating expenses(194,010)(162,202)
Underwriting income$952,979$593,46560.6
Underwriting Ratios% Point Change
Loss ratio4.4%37.8%(33.4)
Acquisition expense ratio7.6%9.6%(2.0)
Other operating expense ratio15.1%11.6%3.5
Combined ratio27.1%59.0%(31.9)

Premiums Written.

The following table sets forth our mortgage segment’s net premiums written by underwriting location (i.e., where the business is underwritten):

Year Ended December 31,
20212020
Net premiums written by underwriting location
United States$914,477$1,021,950
Other346,591257,900
Total$1,261,068$1,279,850

Gross premiums written by the mortgage segment in 2021 were 2.3% higher than in 2020, primarily reflecting growth in Australian single premium mortgage insurance and due to the acquisition of Westpac Lenders Mortgage Insurance Limited in 2021, which was partially offset by a lower level of U.S. primary mortgage insurance monthly and single premium volume. Net premiums written for 2021 were 1.5% lower than in the 2020 period. Net premiums written for the 2021 period reflected a higher level of premiums ceded than in the 2020 period.

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The persistency rate of the U.S. primary portfolio of mortgage loans was 62.4% at December 31, 2021 compared to 58.7% at December 31, 2020, with the increase primarily reflecting a lower level of refinancing activity due to a higher interest rate environment. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.

Net Premiums Earned.

The following table sets forth our mortgage segment’s net premiums earned by underwriting location (i.e., where the business is underwritten):

Year Ended December 31,
20212020
Net premiums earned by underwriting location
United States$970,507$1,158,563
Other312,912239,372
Total$1,283,419$1,397,935

Net premiums earned for 2021 were 8.2% lower than in 2020, primarily reflecting a lower level of earnings from single premium policy terminations.

Other Underwriting Income.

Other underwriting income, which is primarily related to GSE risk-sharing transactions, was $17.7 million for 2021, compared to $20.3 million for 2020.

Losses and Loss Adjustment Expenses.

The table below shows the components of the mortgage segment’s loss ratio:

Year Ended December 31,
20212020
Current year17.6%39.2%
Prior period reserve development(13.2)%(1.4)%
Loss ratio4.4%37.8%

Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums,

existing reserves and the anticipated investment income for such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2021 or 2020.

Current Year Loss Ratio.

The mortgage segment’s current year loss ratio was 21.6 points lower in 2021 compared to 2020. The percentage of loans in default on U.S. primary mortgage insurance decreased from 4.19% at December 31, 2020 to 2.36% at December 31, 2021.

Incurred losses for the 2020 periods reflected elevated delinquency rates due, in part, to financial stress from the COVID-19 pandemic. Segregating estimated losses due to COVID-19 from the overall mortgage segment estimated losses would require knowledge of the number of delinquencies specifically attributable to COVID-19. As this exercise cannot be performed accurately, the Company is not reporting COVID-19 provisions separately from its overall loss provisions.

We insure mortgages for homes in areas that have been impacted by catastrophic events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.

Prior Period Reserve Development.

The mortgage segment’s net favorable development was $169.6 million, or 13.2 points, for 2021, compared to $19.0 million, or 1.4 points, for 2020. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.

Underwriting Expenses.

The underwriting expense ratio for the mortgage segment was 22.7% for 2021, in line with 21.2% for 2020, with the increase primarily due to a lower level of net premiums earned in the U.S. primary mortgage insurance business.

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Corporate Segment

The corporate segment results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income from operating affiliates and items related to our non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.

Net Investment Income.

The components of net investment income were derived from the following sources:

Year Ended December 31,
20212020
Fixed maturities$307,536$358,804
Equity securities42,09428,007
Short-term investments6,7996,573
Other (1)68,41177,951
Gross investment income424,840471,335
Investment expenses (2)(78,032)(69,427)
Net investment income$346,808$401,908

(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.

(2)    Investment expenses were approximately 0.32% of average invested assets for 2021, compared to 0.31% for 2020.

The pre-tax investment income yield was 1.41% for 2021, compared to 1.78% for 2020. The lower level of net investment income for 2021 compared to 2020 reflected lower yields available in the financial markets. The pre-tax investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.

Net Realized Gains (Losses).

We recorded net realized gains of $299.2 million for 2021, compared to net realized gains of $813.8 million for 2020. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains and losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.

Net realized gains or losses also include realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets accounted for using the fair value option and in the fair value of equities, along with changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings. See note 9, “Investment Information—Net Realized Gains (Losses),” and note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements for additional information.

Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.

We recorded $366.4 million of equity in net income related to investments accounted for using the equity method for 2021, compared to $146.7 million for 2020. Investments accounted for using the equity method totaled $3.1 billion at December 31, 2021, compared to $2.0 billion at December 31, 2020. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.

Other Income (Loss)

Other income of $10.2 million for 2021 period primarily reflected our investment in corporate-owned life insurance.

Corporate Expenses.

Corporate expenses were $77.1 million for 2021, compared to $68.5 million for 2020. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.

Transaction Costs and Other.

Transaction costs and other were $1.1 million for 2021, compared to $9.5 million for 2020. Amounts in both periods are primarily related to acquisition activity.

Amortization of Intangible Assets.

Amortization of intangible assets for 2021 was $82.1 million, compared to $69.0 million for 2020. Amounts in 2021 and 2020 primarily related to amortization of finite-lived intangible assets. The increase in amortization of intangible assets expense was a result of acquisitions closed during the 2021 period. See note 2, “Acquisitions."

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Interest Expense.

Interest expense was $131.1 million for 2021, compared to $120.2 million for 2020. Interest expense primarily reflects amounts related to our outstanding senior notes. The higher level of interest expense mainly resulted from the issuance of $1.0 billion of 3.635% senior notes in June 2020.

Net Foreign Exchange Gains or Losses.

Net foreign exchange gains for 2021 were $42.9 million, compared to net foreign exchange losses for 2020 of $80.2 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.

Income Tax Expense.

Our income tax provision on income before income taxes resulted in an expense of 5.6% for 2021, compared to an expense of 7.4% for 2020. The effective tax rate for 2021 period included discrete income tax benefits of $39.3 million, compared to a benefit of $2.5 million for 2020. The discrete tax items in the 2021 period primarily relate to the release of valuation allowances on certain international deferred tax assets. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.

See note 15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2021 and 2020.

Income (Loss) from Operating Affiliates.

We recorded $264.7 million of net income from our operating affiliates in the 2021 period, compared to income of $16.8 million in the 2020 period. Results for the 2021 period included a one-time gain of $95.7 million recognized from the Company’s investment in Greysbridge and a one-time gain of $74.5 million recognized from the Company’s investment in Coface SA (“Coface”), a France-based leader in the global trade credit insurance market.

Loss on Redemption of Preferred Shares.

In 2021, we redeemed all 5.25% Series E preferred shares and recorded a loss of $15.1 million to remove original issuance costs related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.

Other Segment

Through June 30, 2021, the ‘other’ segment included the results of Somers. Pursuant to GAAP, Somers was considered a variable interest entity and we concluded that we were the primary beneficiary of Somers. As such, we consolidated the results of Somers in our consolidated financial statements through June 30, 2021. In July 2021, we announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements. See note 12, “Variable Interest Entity and Noncontrolling Interests,” and note 4, “Segment Information,” to our consolidated financial statements in Item 8 for additional information.

SUMMARY OF CRITICAL ACCOUNTING ESTIMATES

The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.

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Loss Reserves

We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or “Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

At December 31, 2021 and 2020, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:

December 31,
20212020
Insurance segment:
Case reserves$2,102,891$2,051,640
IBNR reserves4,269,9043,889,823
Total net reserves6,372,7955,941,463
Reinsurance segment:
Case reserves1,733,5711,560,523
Additional case reserves426,531280,472
IBNR reserves2,656,5272,253,953
Total net reserves4,816,6294,094,948
Mortgage segment:
Case reserves741,897631,921
IBNR reserves226,604271,702
Total net reserves968,501903,623
Other segment:
Case reserves566,587
Additional case reserves32,321
IBNR reserves660,132
Total net reserves1,259,040
Total:
Case reserves4,578,3594,810,671
Additional case reserves426,531312,793
IBNR reserves7,153,0357,075,610
Total net reserves$12,157,925$12,199,074

At December 31, 2021 and 2020, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20212020
Professional lines (1)$1,673,615$1,482,820
Construction and national accounts1,490,2061,395,067
Excess and surplus casualty (2)657,307816,495
Programs793,187699,354
Property, energy, marine and aviation599,093517,692
Travel, accident and health96,05198,910
Lenders products58,35148,946
Other (3)1,004,985882,179
Total net reserves$6,372,795$5,941,463

(1)    Includes professional liability, executive assurance and healthcare business.

(2)    Includes casualty and contract binding business.

(3)    Includes alternative markets, excess workers’ compensation and surety business.

At December 31, 2021 and 2020, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20212020
Casualty (1)$2,123,360$1,995,849
Other specialty (2)1,113,766917,178
Property excluding property catastrophe (3)711,859594,033
Marine and aviation246,861204,205
Property catastrophe486,911268,858
Other (4)133,872114,825
Total net reserves$4,816,629$4,094,948

(1)    Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.

(2)    Includes non-excess motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.

(3)    Includes property facultative business.

(4)    Includes life, casualty clash and other.

At December 31, 2021 and 2020, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:

December 31,
20212020
U.S. primary mortgage insurance (1)$710,708$649,748
U.S. credit risk transfer (CRT) and other112,549134,857
International mortgage insurance/reinsurance145,244119,017
Total net reserves$968,501$903,623

(1)    At December 31, 2021, 27.0% of total net reserves represent policy years 2011 and prior and the remainder from later policy years. At December 31, 2020, 28.3% of total net reserves represent policy years 2011 and prior and the remainder from later policy years.

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Potential Variability in Loss Reserves

The tables below summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2021 by underwriting segment. The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2021, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2021, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.

INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$44,245$73,192
Third party occurrence business317,483165,701
Third party claims-made business149,689148,642
Multi-line and other specialty145,365132,792
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(41,610)$(35,731)
Third party occurrence business(316,771)(144,688)
Third party claims-made business(149,618)(118,728)
Multi-line and other specialty(141,854)(89,390)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$159,539$184,503
Other specialty86,42679,244
Property excluding property catastrophe30,66277,092
Property catastrophe28,53246,563
Marine and aviation13,80121,679
Other7,2534,901
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(159,539)$(142,727)
Other specialty(86,397)(98,539)
Property excluding property catastrophe(30,662)(70,358)
Property catastrophe(28,532)(30,353)
Marine and aviation(13,924)(22,699)
Other(7,253)(4,688)

It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2021 and are not meant to be a “best case” or “worst case” series of outcomes and, therefore, it is possible that future variations may be more or less than the amounts set forth above.

For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2021 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 34% of the unpaid principal balance at December 31, 2021), we estimated that our loss reserves would change by approximately $28.0 million at December 31, 2021. For every one percentage point change in our primary net default to claim rate (which we estimate to

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be approximately 39% at December 31, 2021), we estimated a $24.0 million change in our loss reserves at December 31, 2021.

Simulation Results

In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.

At December 31, 2021, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:

Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss Reserves (1)$6,372,795$4,816,629$968,501$12,157,925
Simulation results:
90th percentile (2)$7,670,396$5,851,277$1,159,743$14,001,252
10th percentile (3)$5,128,642$3,903,565$791,504$10,398,665

(1)    Net of reinsurance recoverables.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.

(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $1.8 billion, or $4.60 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $1.8 billion, or $4.39 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend

information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2021. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling which are subject to inherent uncertainties.”

Mortgage Operations Supplemental Information

The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2021 and 2020:

(U.S. Dollars in millions)December 31,
20212020
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$280,94561.0$280,57966.2
U.S. credit risk transfer (CRT) and other (2)110,01823.9103,53524.4
International mortgage insurance/reinsurance (3)69,65515.139,4259.3
Total$460,618100.0$423,539100.0
Risk In Force (RIF) (4):
U.S. primary mortgage insurance$70,61984.3$70,52290.5
U.S. credit risk transfer (CRT) and other (2)5,1206.14,6996.0
International mortgage insurance/reinsurance (3)7,9839.52,6733.4
Total$83,722100.0$77,894100.0

(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.

(2)    Includes all CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.

(3)    Includes risks primarily located in Australia.

(4)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance.

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The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2021:

(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2011 and prior$11,2454.0$2,5093.69.24%
20121,7850.64510.62.33%
20134,2061.51,1481.62.63%
20144,8221.71,3281.93.14%
20158,7033.12,3403.32.67%
201614,3445.13,8415.43.29%
201713,1284.73,4364.94.09%
201814,0465.03,5625.05.28%
201925,8419.26,4679.23.13%
202082,50229.420,34128.80.97%
2021100,32335.725,19635.70.29%
Total$280,945100.0$70,619100.02.36%

(1)Represents the ending percentage of loans in default.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2020:

(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2011 and prior$14,5885.2$3,3274.711.36%
20123,6511.39921.42.98%
20137,5462.72,1073.03.30%
20148,2612.92,2733.24.06%
201515,0325.44,0485.73.72%
201624,9588.96,6489.44.77%
201724,7488.86,4139.15.52%
201827,3049.76,9189.86.76%
201948,30417.212,00117.04.61%
2020106,18737.825,79536.60.76%
Total$280,579100.0$70,522100.04.19%

(1)Represents the ending percentage of loans in default.

The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2021 and 2020:

(U.S. Dollars in millions)December 31,
20212020
Amount%Amount%
Credit quality (FICO):
=740$42,45160.1$40,77457.8
680-73923,64633.524,49834.7
620-6794,1965.94,8376.9
6203260.54130.6
Total$70,619100.0$70,522100.0
Weighted average FICO score746743
Loan-to-Value (LTV):
95.01% and above$7,53810.7$8,64312.3
90.01% to 95.00%38,82955.037,87753.7
85.01% to 90.00%20,00628.320,01328.4
85.00% and below4,2466.03,9895.7
Total$70,619100.0$70,522100.0
Weighted average LTV92.8%92.8%
Total RIF, net of external reinsurance$54,574$56,658
(U.S. Dollars in millions)December 31,
20212020
Amount%Amount%
Total RIF by State:
Texas$5,5947.9$5,6368.0
California5,5597.95,2617.5
Florida3,3034.73,6325.2
Illinois2,9334.22,7623.9
North Carolina2,9214.12,6223.7
Minnesota2,9164.12,5203.6
Georgia2,9024.12,9594.2
Massachusetts2,5373.62,4643.5
Michigan2,4923.52,0732.9
Virginia2,4463.52,5263.6
Others37,01652.438,06754.0
Total$70,619100.0$70,522100.0

The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2021 and 2020:

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(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20212020
Rollforward of insured loans in default:
Beginning delinquent number of loans52,23420,163
New notices35,554102,324
Cures(59,372)(68,691)
Paid claims(771)(1,562)
Ending delinquent number of loans (1)27,64552,234
Ending number of policies in force (1)1,171,8351,245,771
Delinquency rate (1)2.36%4.19%
Losses:
Number of claims paid7711,562
Total paid claims$30,979$64,903
Average per claim$40.2$41.6
Severity (2)80.8%92.4%
Average reserve per default (in thousands) (1)$26.7$12.6

(1)    Includes first lien primary and pool policies.

(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 8 to 1 at December 31, 2021, compared to 9.3 to 1 at December 31, 2020.

Ceded Reinsurance

In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed under the heading “Loss Reserves” above. In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the

agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.

The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”

For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 29.3% of gross premiums written for 2021, compared to 26.3% for 2020. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will be responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.

We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have the unilateral power to direct those activities that are significant to its economic performance. As of December 31, 2021, our estimated off-balance sheet maximum exposure to loss from such entities was $42.2 million. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to

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our consolidated financial statements in Item 8 for additional information.

Premium Revenues and Related Expenses

Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.

Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy.

The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.

Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”

The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2021:

December 31, 2021
Gross AmountAcquisition ExpensesNet Amount
Other specialty$421,504$(118,878)$302,626
Property excluding property catastrophe288,622(88,745)199,877
Casualty275,889(76,342)199,547
Marine and aviation149,161(34,338)114,823
Property catastrophe25,097(2,723)22,374
Other48,733(4,142)44,591
Total$1,209,006$(325,168)$883,838

Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.

A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.

Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts.

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Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.

Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.

Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.

Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.

Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.

Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.

Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.

A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and

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rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.

No premium deficiency charges were recorded by us during 2021 or 2020.

Fair Value Measurements

We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2021 by valuation hierarchy.

Reclassifications

We have reclassified the presentation of certain prior year information to conform to the current presentation, including the correct presentation of ‘income (loss) from operating affiliates’ on its consolidated statements of income for all periods presented to reclass such item from ‘other income (loss)’. We also changed the presentation of ‘investment in operating affiliates’ on our consolidated balance sheet for all periods presented to reclass such item from ‘other assets’. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.

Significant Accounting Pronouncements

For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3-(s), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

FINANCIAL CONDITION

Investable Assets

At December 31, 2021, total investable assets held by Arch were $27.4 billion.

Investable Assets Held by Arch

The Finance, Investment and Risk Committee (“FIR”) of our board of directors establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR. At December 31, 2021, approximately $18.5 billion, or 67%, of total investable assets held by Arch were internally managed, compared to $19.2 billion, or 71%, at December 31, 2020.

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The following table summarizes the fair value of investable assets held by Arch:

Investable assets (1):Estimated Fair Value% of Total
December 31, 2021
Fixed maturities (2)$18,414,80767.1
Short-term investments (2)1,832,5226.7
Cash858,6683.1
Equity securities (2)1,830,6636.7
Other investments (2)1,432,5535.2
Investments accounted for using the equity method3,077,61111.2
Securities transactions entered into but not settled at the balance sheet date(4,671)
Total investable assets held by Arch$27,442,153100.0
Average effective duration (in years)2.70
Average S&P/Moody’s credit ratings (4)AA-/Aa3
Embedded book yield (5)1.63%
December 31, 2020
Fixed maturities (2)$18,771,29669.9
Short-term investments (2)2,063,2407.7
Cash694,9972.6
Equity securities (2)1,436,1045.3
Other investments (2)1,480,3475.5
Other investable assets (3)500,0001.9
Investments accounted for using the equity method2,047,8897.6
Securities transactions entered into but not settled at the balance sheet date(137,578)(0.5)
Total investable assets held by Arch$26,856,295100.0
Average effective duration (in years)3.01
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)1.56%

(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.

(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.

(3)Participation interests in a receivable of a reverse repurchase agreement.

(4)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).

(5)Before investment expenses.

The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:

Estimated Fair Value% of Total
December 31, 2021
Corporate bonds$6,941,87937.7
Mortgage backed securities408,4772.2
Municipal bonds404,6662.2
Commercial mortgage backed securities1,046,4845.7
U.S. government and government agencies4,772,76425.9
Non-U.S. government securities2,144,07911.6
Asset backed securities2,696,45814.6
Total$18,414,807100.0
December 31, 2020
Corporate bonds$8,039,74542.8
Mortgage backed securities616,6193.3
Municipal bonds492,7342.6
Commercial mortgage backed securities390,9902.1
U.S. government and government agencies5,354,86328.5
Non-U.S. government securities2,310,15712.3
Asset backed securities1,566,1888.3
Total$18,771,296100.0

The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.

Estimated Fair Value% of Total
December 31, 2021
U.S. government and gov’t agencies (1)$5,063,19127.5
AAA3,783,38620.5
AA2,459,41313.4
A2,943,59416.0
BBB2,936,39815.9
BB501,5882.7
B371,7472.0
Lower than B43,7560.2
Not rated311,7341.7
Total$18,414,807100.0
December 31, 2020
U.S. government and gov’t agencies (1)$5,963,75831.8
AAA3,117,04616.6
AA2,063,73811.0
A3,760,28020.0
BBB2,699,20114.4
BB574,1893.1
B268,0951.4
Lower than B54,7950.3
Not rated270,1941.4
Total$18,771,296100.0

(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.

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The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:

Severity of gross unrealized losses:Estimated Fair ValueGross Unrealized Losses% of Total Gross Unrealized Losses
December 31, 2021
0-10%$12,231,146$(166,867)97.6
10-20%16,884(2,412)1.4
20-30%2,593(759)0.4
Greater than 30%684(916)0.5
Total$12,251,307$(170,954)100.0
December 31, 2020
0-10%$3,583,981$(55,542)79.4
10-20%95,495(12,183)17.4
20-30%1,061(406)0.6
Greater than 30%1,249(1,785)2.6
Total$3,681,786$(69,916)100.0

The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2021, excluding guaranteed amounts and covered bonds:

Estimated Fair ValueCredit Rating (1)
Bank of America Corporation$406,807A-/A2
JPMorgan Chase & Co.338,647A-/A2
The Goldman Sachs Group, Inc.237,628BBB+/A2
Citigroup Inc.220,915BBB+/A3
Morgan Stanley198,106BBB+/A1
Wells Fargo & Company183,261BBB+/A1
Blackstone Inc.128,138NA/Baa3
Dai-ichi Life Holdings, Inc.109,924AA-/A1
Apple Inc.109,008AA+/Aaa
Westpac Banking Corporation107,678AA-/Aa3
Total$2,040,112

(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS) and asset backed securities (“ABS”):

AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2021
RMBS$268,229$129,296$10,952$408,477
CMBS22,198926,30297,9841,046,484
ABS2,543,907152,5512,696,458
Total$290,427$3,599,505$261,487$4,151,419
Dec. 31, 2020
RMBS$584,499$4,102$28,018$616,619
CMBS24,396342,49124,103390,990
ABS1,403,137163,0511,566,188
Total$608,895$1,749,730$215,172$2,573,797

The following table summarizes our equity securities, which include investments in exchange traded funds:

December 31,
20212020
Equities (1)$883,722$676,437
Exchange traded funds
Fixed income (2)455,467341,139
Equity and other (3)491,474418,528
Total$1,830,663$1,436,104

(1)Primarily in consumer non-cyclical, technology, communications, consumer cyclical and financial at December 31, 2021.

(2)Primarily in corporate and MBS at December 31, 2021.

(3)Primarily in large cap stocks, foreign equities, technology and utilities at December 31, 2021.

The following table summarizes our other investments and other investable assets:

December 31,
20212020
Lending536,345572,636
Term loan investments484,950380,193
Investment grade fixed income147,810138,646
Private equity91,12648,750
Energy81,69265,813
Credit related funds70,27890,780
Infrastructure20,352165,516
Real estate18,013
Total fair value option1,432,5531,480,347
Other investable assets500,000
Total other investments$1,432,553$1,980,347
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The following table summarizes our investments accounted for using the equity method, by strategy:

December 31,
20212020
Credit related funds$1,022,334$740,060
Private equity436,042235,289
Real estate396,395258,518
Equities395,090343,058
Lending376,649179,629
Infrastructure230,070175,882
Energy119,141115,453
Fixed income101,890
Total$3,077,611$2,047,889

Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.

Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2021 and 2020 segregated by level in the fair value hierarchy.

Reinsurance Recoverables

The following table details our reinsurance recoverables at December 31, 2021:

% of TotalA.M. Best Rating (1)
Somers Re6.7A-
Fortitude Reinsurance Company Ltd.2.4A
Hannover Rück SE1.8A+
Swiss Reinsurance America Corporation1.7A+
Partner Reinsurance Company of the U.S.1.4A+
Everest Reinsurance Company1.4A+
Munich Reinsurance America, Inc.1.3A+
XL Re1.2A+
Lloyd’s syndicates (2)1.1A
Berkley Insurance Company1.0A+
All other -- “A-” or better49.7
All other -- rated carriers0.1
All other -- not rated (3)30.2
Total100.0

(1)    The financial strength ratings are as of February 4, 2022 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”

(2)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.

(3)    Over 91% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses

We establish Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Estimates—Loss Reserves” and see Item 1 “Business—Reserves” for further details.

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Shareholders’ Equity and Book Value per Share

Total shareholders’ equity available to Arch was $13.5 billion at December 31, 2021, compared to $13.1 billion at December 31, 2020. The increase in 2021 primarily reflected the impact of underwriting returns and income from operating affiliates, partially offset by the impact of a higher level of catastrophic activity on underwriting returns.

The following table presents the calculation of book value per share:

(U.S. dollars in thousands, except share data)December 31,
20212020
Total shareholders’ equity available to Arch$13,545,896$13,105,886
Less preferred shareholders’ equity830,000780,000
Common shareholders’ equity available to Arch$12,715,896$12,325,886
Common shares and common share equivalents outstanding, net of treasury shares (1)378,923,894406,720,642
Book value per share$33.56$30.31

(1)    Excludes the effects of 17,083,160 and 17,839,333 stock options and 729,636 and 1,153,784 restricted stock and performance units outstanding at December 31, 2021 and 2020, respectively.

LIQUIDITY

Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations. In 2021, Arch Capital completed a $500.0 million underwritten public offering of 20.0 million depositary shares, each of which represents a 1/1,000th interest in a share of its 4.55% Non-Cumulative Series G Preferred Shares. See note 21, “Shareholder’s Equity.”

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.

In 2021, Arch Capital received dividends of $1.8 billion from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer which can pay approximately $3.8 billion to Arch Capital in 2022 without providing an affidavit to the Bermuda Monetary Authority (“BMA”). In 2021, Arch-U.S. received $200.0 million of dividends from Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S., which received a total of $300.0 million of ordinary and extraordinary dividends, $140 million from United Guaranty

Residential Insurance Company (“UGRIC”) and $160 million from Arch Mortgage Insurance Company (“AMIC”).

Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.

We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, for the next twelve months, at a minimum, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities.

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Dividend Restrictions

Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.

The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.

We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.

In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.

Restricted Assets

Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit

are available to settle insurance and reinsurance liabilities to third parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 2021 and 2020, such amounts approximated $8.2 billion and $7.7 billion, respectively.

Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in operating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $3.0 billion at December 31, 2021 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.

Cash Flows

The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment:

Year Ended December 31,
20212020
Total cash provided by (used for):
Operating activities$3,380,700$2,705,054
Investing activities(1,870,885)(3,301,816)
Financing activities(1,243,613)856,771
Effects of exchange rate changes on foreign currency cash(30,524)17,822
Increase (decrease) in cash$235,678$277,831

Cash provided by operating activities for 2021 was higher than in 2020, primarily reflected a higher level of premiums collected than in the 2020 period.

Cash used for investing activities for 2021 was lower than in 2020. Activity for 2021 period reflected cash used to invest in Coface and Somers, while the 2020 period reflected a higher level of securities purchased, and the investing of proceeds from our issuance of the senior notes.

Cash used for financing activities for 2021 was higher than in 2020. Activity for 2021 period, primarily reflected $485.8 million inflow from issuance of preferred shares, $450.0 million related to redemption of our Series E preferred shares and $1.2 billion of repurchases under our share repurchase program. Activity for the 2020 period primarily reflected the

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issuance of $1.0 billion of our senior notes and $83.5 million of repurchases under our share repurchase program.

Investments

At December 31, 2021, our investable assets were $27.4 billion. The primary goals of our asset liability management process are to meet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities. Please refer to Item 1A “Risk Factors” for a discussion of other risks relating to our business and investment portfolio.

CAPITAL RESOURCES

The following table provides an analysis of our capital structure:

(U.S. dollars in thousands, except share data)December 31,
20212020
Senior notes$2,724,394$2,723,423
Shareholders’ equity available to Arch:
Series E non-cumulative preferred shares450,000
Series F non-cumulative preferred shares330,000330,000
Series G non-cumulative preferred shares500,000
Common shareholders’ equity12,715,89612,325,886
Total$13,545,896$13,105,886
Total capital available to Arch$16,270,290$15,829,309
Debt to total capital (%)16.717.2
Preferred to total capital (%)5.14.9
Debt and preferred to total capital (%)21.822.1

See note 19, “Debt and Financing Arrangement" and note 21, “Shareholder’s Equity”, to our consolidated financial statements in Item 8 for additional information on capital structure.

Capital Adequacy

We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.

In addition, AMIC and UGRIC (together, “Arch MI U.S.”) are required to maintain compliance with the GSEs requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 2021 with a PMIER sufficiency ratio of 197%, compared to 173% at December 31, 2020.

As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of our board of directors and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our board of directors deems relevant.

To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have

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a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our U.S.-based insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.

Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.

Share Repurchase Program

The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2021, Arch Capital has repurchased approximately 420.7 million common shares for an aggregate purchase price of $5.3 billion. At December 31, 2021, $1.2 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2022. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, the development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.

GUARANTOR INFORMATION

The below table provides a description of our senior notes payable at December 31, 2021:

InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350%$300,000$297,488
June 30, 20503.635%1,000,000988,720
Arch-U.S.:
Nov. 1, 2043 (1)5.144%500,000495,063
Arch Finance:
Dec. 15, 2026 (1)4.011%500,000497,633
Dec. 15, 2046 (1)5.031%450,000445,490
Total$2,750,000$2,724,394

(1) Fully and unconditionally guaranteed by Arch Capital.

Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future

unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.

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During 2021 and 2020, we made interest payments of $131.0 million and $110.5 million respectively, related to our senior notes and other financing arrangements.

The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):

December 31, 2021December 31, 2020
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$2,038$137,124$172$396,547
Cash16,31718,39218,93211,368
Investment in operating affiliates6,8777,731
Due from subsidiaries and affiliates26,000201,515
Other assets9,61537,04010,65934,405
Total assets$34,847$218,556$37,494$643,835
Liabilities
Senior notes1,286,208495,0631,285,867494,944
Due to subsidiaries and affiliates521,839586,805
Other liabilities24,76747,41023,27041,876
Total liabilities1,310,9751,064,3121,309,1371,123,625
Non-cumulative preferred shares$830,000$$780,000$
Year EndedYear Ended
December 31, 2021December 31, 2020
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$1,524$11,596$53$18,084
Net realized gains (losses)72,437(2,110)26,096
Equity in net income (loss) of investments accounted for using the equity method18,1492,507
Total revenues1,524102,182(2,057)46,687
Expenses
Corporate expenses71,8185,87565,5667,227
Interest expense58,74147,29240,44547,566
Net foreign exchange (gains) losses73
Total expenses130,56653,167106,01454,793
Income (loss) before income taxes(129,042)49,015(108,071)(8,106)
Income tax (expense) benefit(12,513)2,689
Income (loss) from operating affiliates(590)(437)
Net income available to Arch(129,632)36,502(108,508)(5,417)
Preferred dividends(48,343)(41,612)
Loss on redemption of preferred shares(15,101)
Net income available to Arch common shareholders$(193,076)$36,502$(150,120)$(5,417)
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CONTRACTUAL OBLIGATIONS AND COMMITMENTS

Contractual Obligations

The following table provides an analysis of our contractual commitments at December 31, 2021:

Payment due by period
Total20222023 and 20242025 and 2026Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$17,757,156$4,893,981$5,830,065$2,711,728$4,321,382
Deposit accounting liabilities (2)11,8386,1672,0433823,246
Contractholder payables (3)1,832,127584,992632,551252,498362,086
Operating lease obligations148,59832,06448,83731,27536,422
Purchase obligations114,14358,19150,9914,961
Investing activities
Unfunded investment commitments (4)2,973,4922,973,492
Financing activities
Senior notes (including interest payments)5,290,334126,815253,629251,9584,657,932
Total contractual obligations and commitments$28,127,688$8,675,702$6,818,116$3,252,802$9,381,068

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.

(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.

(4)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.

Letter of Credit and Revolving Credit Facilities

In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities.

On December 17, 2019 Arch Capital and certain of its subsidiaries entered into an $750.0 million five-year credit facility (the “Credit Facility”) with a syndication of lenders. The Credit Facility consists of a $250.0 million secured facility for letters of credit (the “Secured Facility”) and a $500.0 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower under the Secured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.3 billion. Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital. Arch Capital and its lenders may

agree on a LIBOR successor rate at the appropriate time to address the replacement of LIBOR. Secured letters of credit are available for issuance on behalf of Arch Capital insurance and reinsurance subsidiaries. The Credit Facility is structured such that each party that requests a letter of credit or borrowing does so only for itself and for only its own obligations.

The Credit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2021.

See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.

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RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.

If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.

The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our website www.archgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.

CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. Natural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.

We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.

We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can

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be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.

For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.

Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.

Based on in-force exposure estimated as of January 1, 2022, our modeled peak zone catastrophe exposure is a windstorm affecting the Northeast U.S., with a net probable maximum pre-tax loss of $748 million, followed by windstorms affecting Florida Tri-County and the Gulf of Mexico with net probable maximum pre-tax losses of $727 million and $649 million, respectively. Our exposures to other perils, such as U.S. earthquake and international events, were less than the exposures arising from U.S. windstorms and hurricanes in both periods. As of January 1, 2022, our modeled peak zone earthquake exposure (San Francisco area earthquake) represented approximately 78% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (U.K. windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.

We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future.

For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.

Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2022, our modeled RDS loss was 6.3% of tangible shareholders’ equity available to Arch.

Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and before income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Factors—Risks Relating to Our Industry, Business and Operations” Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—Summary of Critical Accounting Estimates

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—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.

MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.

In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2021. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.

The sensitivity analysis performed as of December 31, 2021 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 2021 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.

The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.

Investment Market Risk

Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the fair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As

interest rates rise, the fair value of our Fixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 2021 and 2020:

(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2021
Total fair value$25.79$25.44$25.21$24.75$24.43
Change from base2.3%0.9%(1.8)%(3.1)%
Change in unrealized value$0.58$0.23$(0.45)$(0.78)
Dec. 31, 2020
Total fair value$25.82$25.44$25.07$24.69$24.31
Change from base3.0%1.5%(1.5)%(3.0)%
Change in unrealized value$0.75$0.38$(0.38)$(0.75)

In addition, we consider the effect of credit spread movements on the market value of our Fixed Income Securities and the corresponding change in unrealized value. As credit spreads widen, the fair value of our Fixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.

The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 2021 and 2020:

(U.S. dollars in billions)Credit Spread Shift in Percentage
-100-50-+50+100
Dec. 31, 2021
Total fair value$26.17$25.69$25.21$24.72$24.24
Change from base3.8%1.9%(1.9)%(3.8)%
Change in unrealized value$0.97$0.48$(0.48)$(0.97)
Dec. 31, 2020
Total fair value$25.54$25.32$25.07$24.82$24.59
Change from base1.9%1.0%(1.0)%(1.9)%
Change in unrealized value$0.48$0.25$(0.25)$(0.48)
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Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR measures the worst expected loss under normal market conditions over a specific time interval at a given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, the portfolio loss in a one-year horizon would be less than or equal to the calculated number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2021, our portfolio’s VaR was estimated to be 4.83%, compared to an estimated 4.30% at December 31, 2020.

Equity Securities. At December 31, 2021 and 2020, the fair value of our investments in equity securities (excluding securities included in Fixed Income Securities above) totaled $1.4 billion and $1.1 billion, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $137.5 million and $109.5 million at December 31, 2021 and 2020, respectively, and would have decreased book value per share by approximately $0.36 and $0.27, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $137.5 million and $109.5 million at December 31, 2021 and 2020, respectively, and would have increased book value per share by approximately $0.36 and $0.27, respectively.

Investment-Related Derivatives. At December 31, 2021, the notional value of all derivative instruments (excluding foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $6.4 billion, compared to $8.6 billion at December 31, 2020. If the underlying exposure of each investment-related derivative held at December 31, 2021 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $63.8 million, and a decrease in book value per share of $0.17, compared to $85.7 million and $0.21, respectively, on investment-related derivatives held at December 31, 2020. If the underlying exposure of each investment-related derivative held at December 31, 2021 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $63.8 million, and an increase in book value per share of $0.17, compared to $85.7 million and $0.21, respectively, on investment-related derivatives held at December 31, 2020. See note 11, “Derivative Instruments,” to our consolidated financial

statements in Item 8 for additional disclosures concerning derivatives.

For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”

Foreign Currency Exchange Risk

Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:

(U.S. dollars in thousands, except per share data)December 31, 2021December 31, 2020
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(825,371)$(309,968)
Shareholders’ equity denominated in foreign currencies (1)1,095,706695,355
Net foreign currency forward contracts outstanding (2)15,1511,108,161
Net exposures denominated in foreign currencies$285,486$1,493,548
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:
Shareholders’ equity$(28,549)$(149,355)
Book value per share$(0.08)$(0.37)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:
Shareholders’ equity$28,549$149,355
Book value per share$0.08$0.37

(1)    Represents capital contributions held in the foreign currencies of our operating units.

(2)    Represents the net notional value of outstanding foreign currency forward contracts.

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Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”

Effects of Inflation

We do not believe that inflation has had a material effect on our consolidated results of operations, except insofar as inflation may affect our reserves for losses and loss adjustment expenses and interest rates. The potential exists, after a catastrophe loss, for the development of inflationary pressures in a local economy. The anticipated effects of inflation on us are considered in our catastrophe loss models. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled.