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EXHIBIT 99.2
arch-slantedxheaderxbluexg.gif
Arch Capital Group Ltd.
Waterloo House, Ground Floor
100 Pitts Bay Road
Pembroke HM 08 Bermuda


Financial Supplement
December 31, 2022
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only. It should be read in conjunction with documents filed by Arch with the U.S. Securities and Exchange Commission, including the most recent Annual Report on Form 10-K and the Quarterly Reports on Form 10-Q. Please refer to the Company’s website at www.archgroup.com for further information describing Arch.

arch-slantedxcontactsxblue.gif
Arch Capital Group Ltd.Investor Relations
François Morin: (441) 278-9250Donald Watson: (914) 872-3616; dwatson@archgroup.com



Arch Capital Group Ltd. and Subsidiaries
Table of Contents

  Page
   
I.Financial Highlights
  
II.Consolidated Financial Statements
 a.Consolidated Statements of Income
 b.Consolidated Balance Sheets
 c.Consolidated Statements of Changes in Shareholders’ Equity
 d.Consolidated Statements of Cash Flows
  
III.Segment Information
 a.Overview
 b.Consolidated Results
 c.Insurance Segment Results
 d.Reinsurance Segment Results
e.Mortgage Segment Results
f.Consolidated Results Excluding ‘Other’ Segment
g.Selected Information on Losses and Loss Adjustment Expenses
  
IV.Investment Information
 a.Investable Asset Summary and Investment Portfolio Metrics
b.Composition of Net Investment Income, Yield and Total Return
 c.Composition of Fixed Maturities
d.Credit Quality Distribution and Maturity Profile
e.Analysis of Corporate Exposures
 f.Structured Securities
  
V.Other
 a.Comments on Regulation G
 b.Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
c.Operating Income and Effective Tax Rate Calculations
 d.Capital Structure and Share Repurchase Activity

1

Arch Capital Group Ltd. and Subsidiaries
Basis of Presentation
Basis of Presentation
All financial information contained herein is unaudited, however, certain information relating to the consolidated balance sheet at December 31, 2021 is derived from or agrees to audited financial information. During the 2021 first quarter, the Company changed its 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)’. The Company also changed its presentation of ‘investment in operating affiliates’ on its consolidated balance sheet for all periods presented to reclass such item from ‘other assets’. Unless otherwise noted, all data is in thousands, except for share and per share amounts and ratio information.
In March 2014, the Company invested $100.0 million to acquire common equity and a warrant to purchase additional common equity of Somers Group Holdings Ltd. (formerly Watford Holdings Ltd.), (“Somers”). In accordance with GAAP, the Company consolidated the results of Somers in its financial statements. Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers, through June 30, 2021. As such, 100% of the results of Somers were included in the Company’s consolidated financial statements as of and for the periods ended June 30, 2021. The portion of Somers’ earnings owned by third parties was recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ In addition, through June 30, 2021 the Company reflected Somers’ redeemable preference shares in the mezzanine section of the Company’s consolidated balance sheets as ‘redeemable noncontrolling interests’. In July 2021, the Company 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 will retain 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 and footnotes.
Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of Arch and its subsidiaries may include forward-looking statements, which reflect the Company’s current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this release are forward-looking statements.
Forward-looking statements can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” or their negative or variations or similar terminology. Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. A non-exclusive list of the important factors that could cause actual results to differ materially from those in such forward-looking statements includes the following: adverse general economic and market conditions; increased competition; pricing and policy term trends; fluctuations in the actions of rating agencies and the Company’s ability to maintain and improve the Company’s ratings; investment performance; the loss and addition of key personnel; the adequacy of the Company’s loss reserves, severity and/or frequency of losses, greater than expected loss ratios and adverse development on claim and/or claim expense liabilities; greater frequency or severity of unpredictable natural and man-made catastrophic events; including pandemics such as COVID-19; the impact of acts of terrorism and acts of war; changes in regulations and/or tax laws in the United States or elsewhere; the Company’s ability to successfully integrate, establish and maintain operating procedures as well as integrate the businesses we have acquired or may acquire into the existing operations; changes in accounting principles or policies; material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements; availability and cost to the Company of reinsurance to manage gross and net exposures; the failure of others to meet their obligations to the Company; uncertainty relating to determination of the London Inter-bank Offered Rate (“LIBOR”) and the phasing out and replacement of LIBOR with alternative benchmark rates; a disruption caused by cyber-attacks or other technology breaches or failures on the Company or the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation; and other factors identified in the Company’s filings with the U.S. Securities and Exchange Commission.
The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. All subsequent written and oral forward-looking statements attributable to the Company or persons acting on the Company’s behalf are expressly qualified in their entirety by these cautionary statements. The Company undertakes no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.
2

Arch Capital Group Ltd. and Subsidiaries
Financial Highlights
The following table presents financial highlights (1):
(U.S. Dollars in thousands, except share data)Three Months EndedYear Ended
December 31,December 31,
20222021Change20222021Change
Underwriting results:
Gross premiums written$3,795,262 $2,861,575 32.6 %$15,326,447 $12,463,788 23.0 %
Net premiums written3,034,636 2,034,427 49.2 %11,077,189 8,663,635 27.9 %
Net premiums earned2,760,919 2,083,630 32.5 %9,678,077 7,750,330 24.9 %
Underwriting income (loss) (2)734,264 471,611 55.7 %1,796,032 1,239,740 44.9 %
Loss ratio45.0 %47.8 %(2.8)51.9 %55.8 %(3.9)
Acquisition expense ratio18.1 %17.2 %0.9 18.0 %16.0 %2.0 
Other operating expense ratio10.4 %12.6 %(2.2)11.7 %12.5 %(0.8)
Combined ratio73.5 %77.6 %(4.1)81.6 %84.3 %(2.7)
Net investment income$181,079 $90,454 100.2 %$496,547 $346,808 43.2 %
Per diluted share$0.48 $0.23 108.7 %$1.31 $0.87 50.6 %
Net income available to Arch common shareholders$849,504 $613,081 38.6 %$1,436,197 $2,093,405 (31.4)%
Per diluted share$2.26 $1.58 43.0 %$3.80 $5.23 (27.3)%
After-tax operating income available to Arch common shareholders (2)$805,922 $493,257 63.4 %$1,840,389 $1,434,930 28.3 %
Per diluted share$2.14 $1.27 68.5 %$4.87 $3.58 36.0 %
Comprehensive income (loss) available to Arch$1,105,345 $509,482 117.0 %$(104,637)$1,603,354 (106.5)%
Net cash provided by operating activities$981,510 $800,004 22.7 %$3,815,227 $3,380,701 12.9 %
Weighted average common shares and common share equivalents outstanding — diluted375,878,279 388,869,378 (3.3)%377,609,767 400,345,936 (5.7)%
Financial measures:      
Change in book value per common share during period9.9 %3.5 %6.4 (2.8)%10.7 %(13.5)
Annualized net income return on average common equity29.5 %19.4 %10.1 11.6 %16.7 %(5.1)
Annualized operating return on average common equity (2)28.0 %15.6 %12.4 14.8 %11.5 %3.3 
Total return on investments (3)2.60 %0.39 %221 bps(6.45)%1.90 %-835 bps
 
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)See ‘Comments on Regulation G’ for a further discussion of consolidated underwriting income or loss, after-tax operating income or loss available to Arch common shareholders and annualized operating return on average common equity.
(3)Total return on investments includes investment income, equity in net income (loss) of investment funds accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.
3

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Income
(U.S. Dollars in thousands, except share data)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Revenues       
Net premiums earned$2,760,919 $2,470,750 $2,325,775 $2,120,633 $2,083,630 $9,678,077 $8,082,298 
Net investment income181,079 128,640 106,392 80,436 90,454 496,547 389,118 
Net realized gains (losses)79,932 (183,673)(266,579)(292,414)59,517 (662,734)379,845 
Other underwriting income1,283 3,077 2,970 5,897 3,160 13,227 22,073 
Equity in net income (loss) of investment funds accounted for using the equity method40,351 (18,861)58,061 36,305 67,132 115,856 366,402 
Other income (loss)8,321 (13,684)(11,777)(9,025)9,093 (26,165)10,244 
Total revenues3,071,885 2,386,249 2,214,842 1,941,832 2,312,986 9,614,808 9,249,980 
Expenses
Losses and loss adjustment expenses(1,241,330)(1,682,696)(1,102,656)(1,000,835)(995,853)(5,027,517)(4,584,803)
Acquisition expenses(500,515)(447,587)(413,319)(378,159)(357,539)(1,739,580)(1,303,178)
Other operating expenses(286,093)(274,747)(277,392)(289,943)(261,787)(1,128,175)(998,595)
Corporate expenses(17,820)(17,710)(27,620)(32,332)(18,150)(95,482)(79,157)
Amortization of intangible assets(25,722)(26,104)(27,207)(27,167)(33,132)(106,200)(82,955)
Interest expense(31,700)(33,063)(32,795)(32,708)(32,248)(130,266)(139,470)
Net foreign exchange gains (losses)(81,224)90,509 87,775 3,845 3,163 100,905 41,529 
Total expenses(2,184,404)(2,391,398)(1,793,214)(1,757,299)(1,695,546)(8,126,315)(7,146,629)
Income (loss) before income taxes and income (loss) from operating affiliates887,481 (5,149)421,628 184,533 617,440 1,488,493 2,103,351 
Income tax (expense) benefit(60,919)14,900 (22,323)(11,619)(34,406)(79,961)(128,582)
Income (loss) from operating affiliates36,226 8,507 4,640 24,518 40,641 73,891 264,693 
Net income (loss)862,788 18,258 403,945 197,432 623,675 1,482,423 2,239,462 
Net (income) loss attributable to noncontrolling interests(3,100)(1,157)399 (1,632)(410)(5,490)(82,613)
Net income (loss) attributable to Arch859,688 17,101 404,344 195,800 623,265 1,476,933 2,156,849 
Preferred dividends(10,184)(10,184)(10,184)(10,184)(10,184)(40,736)(48,343)
Loss on redemption of preferred shares— — — — — — (15,101)
Net income (loss) available to Arch common shareholders$849,504 $6,917 $394,160 $185,616 $613,081 $1,436,197 $2,093,405 
Comprehensive income (loss) available to Arch$1,105,345 $(616,461)$(204,476)$(389,045)$509,482 $(104,637)$1,603,354 
Net income (loss) per common share and common share equivalent
Basic$2.32 $0.02 $1.07 $0.50 $1.62 $3.90 $5.34 
Diluted$2.26 $0.02 $1.04 $0.48 $1.58 $3.80 $5.23 
Weighted average common shares and common share equivalents outstanding
Basic365,902,520 365,190,527 369,241,193 374,243,812 379,431,442 368,612,197 391,748,715 
Diluted375,878,279 373,727,277 377,952,988 384,194,363 388,869,378 377,609,767 400,345,936 



4

Arch Capital Group Ltd. and Subsidiaries
Consolidated Balance Sheets

(U.S. Dollars in thousands, except share data)December 31,September 30,June 30,March 31,December 31,
20222022202220222021
Assets     
Investments:     
Fixed maturities available for sale, at fair value$19,682,789 $18,120,727 $17,585,029 $17,648,853 $17,998,109 
Short-term investments available for sale, at fair value1,331,662 1,940,857 2,227,874 2,332,624 1,734,716 
Equity securities, at fair value859,969 809,869 772,689 1,002,572 1,804,170 
Other investments1,644,197 1,578,751 1,634,368 1,686,666 1,973,550 
Investments accounted for using the equity method3,774,310 3,565,946 3,496,341 3,325,543 3,077,611 
Total investments27,292,927 26,016,150 25,716,301 25,996,258 26,588,156 
Cash855,118 813,583 813,548 812,917 858,668 
Accrued investment income158,680 116,263 116,102 82,607 85,453 
Investment in operating affiliates964,604 891,212 967,603 1,144,255 1,135,655 
Premiums receivable3,624,777 3,579,380 3,634,182 3,223,504 2,633,280 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses6,563,654 6,356,456 5,938,511 5,941,000 5,880,735 
Contractholder receivables1,731,293 1,735,730 1,758,018 1,810,199 1,828,691 
Ceded unearned premiums1,799,197 2,115,539 2,123,915 1,951,960 1,729,455 
Deferred acquisition costs1,263,870 1,122,711 1,069,845 1,001,866 901,841 
Receivable for securities sold12,493 27,042 157,329 116,633 60,179 
Goodwill and intangible assets804,289 806,655 868,014 926,427 944,983 
Other assets2,919,605 2,756,383 2,555,826 2,670,315 2,453,849 
Total assets$47,990,507 $46,337,104 $45,719,194 $45,677,941 $45,100,945 
Liabilities     
Reserve for losses and loss adjustment expenses$20,031,943 $19,288,291 $18,194,324 $18,109,107 $17,757,156 
Unearned premiums7,337,002 7,271,279 7,145,297 6,737,779 6,011,942 
Reinsurance balances payable1,529,919 1,669,592 1,634,700 1,510,906 1,583,253 
Contractholder payables1,733,984 1,738,089 1,761,023 1,813,930 1,832,127 
Collateral held for insured obligations249,238 254,720 251,063 244,502 242,352 
Senior notes2,725,410 2,725,153 2,724,896 2,724,642 2,724,394 
Payable for securities purchased95,041 174,769 292,106 176,452 64,850 
Other liabilities1,367,068 1,411,193 1,289,760 1,431,271 1,329,742 
Total liabilities35,069,605 34,533,086 33,293,169 32,748,589 31,545,816 
Redeemable noncontrolling interests10,829 8,908 8,459 9,763 9,233 
Shareholders’ equity     
Non-cumulative preferred shares830,000 830,000 830,000 830,000 830,000 
Common shares654 652 652 651 648 
Additional paid-in capital2,211,444 2,186,599 2,170,661 2,134,241 2,085,075 
Retained earnings15,892,065 15,042,561 15,035,644 14,641,484 14,455,868 
Accumulated other comprehensive income (loss), net of deferred income tax(1,646,170)(1,891,827)(1,258,265)(649,445)(64,600)
Common shares held in treasury, at cost(4,377,920)(4,372,875)(4,361,126)(4,037,342)(3,761,095)
Total shareholders’ equity12,910,073 11,795,110 12,417,566 12,919,589 13,545,896 
Total liabilities, noncontrolling interests and shareholders’ equity$47,990,507 $46,337,104 $45,719,194 $45,677,941 $45,100,945 
Common shares and common share equivalents outstanding, net of treasury shares370,345,997 369,321,990 369,346,815 375,730,891 378,923,894 
Book value per common share (1)$32.62 $29.69 $31.37 $32.18 $33.56 
(1) Excludes the effects of stock options and restricted stock units outstanding.
5

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Changes in Shareholders’ Equity

(U.S. Dollars in thousands)Three Months EndedYear Ended
December 31,September 30,June 30,March 31,December 31,December 31,December 31,
2022202220222022202120222021
Non-cumulative preferred shares       
Balance at beginning of period$830,000 $830,000 $830,000 $830,000 $830,000 $830,000 $780,000 
Preferred shares issued— — — — — — 500,000 
Preferred shares redeemed— — — — — — (450,000)
Balance at beginning and end of period$830,000 $830,000 $830,000 $830,000 $830,000 $830,000 $830,000 
Common shares
Balance at beginning of period652 652 651 648 648 648 643 
Common shares issued, net— — 
Balance at end of period654 652 652 651 648 654 648 
Additional paid-in capital
Balance at beginning of period2,186,599 2,170,661 2,134,241 2,085,075 2,061,906 2,085,075 1,977,794 
Issue costs on preferred shares— — — — — — (14,179)
Reversal of original issue costs on redeemed preferred shares— — — — — — 15,101 
Amortization of share-based compensation7,597 13,518 21,137 45,368 14,774 87,620 86,053 
All other17,248 2,420 15,283 3,798 8,395 38,749 20,306 
Balance at end of period2,211,444 2,186,599 2,170,661 2,134,241 2,085,075 2,211,444 2,085,075 
Retained earnings
Balance at beginning of period15,042,561 15,035,644 14,641,484 14,455,868 13,842,787 14,455,868 12,362,463 
Net income862,788 18,258 403,945 197,432 623,675 1,482,423 2,239,462 
Amounts attributable to noncontrolling interests(3,100)(1,157)399 (1,632)(410)(5,490)(82,613)
Preferred share dividends(10,184)(10,184)(10,184)(10,184)(10,184)(40,736)(48,343)
Loss on redemption of preferred shares— — — — — — (15,101)
Balance at end of period15,892,065 15,042,561 15,035,644 14,641,484 14,455,868 15,892,065 14,455,868 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period(1,891,827)(1,258,265)(649,445)(64,600)49,184 (64,600)488,895 
Change in unrealized appreciation (decline) in value of available-for-sale investments160,696 (563,174)(540,295)(582,077)(103,391)(1,524,850)(487,809)
Change in foreign currency translation adjustments84,961 (70,388)(68,525)(2,768)(10,393)(56,720)(65,686)
Balance at end of period(1,646,170)(1,891,827)(1,258,265)(649,445)(64,600)(1,646,170)(64,600)
Common shares held in treasury, at cost
Balance at beginning of period(4,372,875)(4,361,126)(4,037,342)(3,761,095)(3,396,999)(3,761,095)(2,503,909)
Shares repurchased for treasury(5,045)(11,749)(323,784)(276,247)(364,096)(616,825)(1,257,186)
Balance at end of period(4,377,920)(4,372,875)(4,361,126)(4,037,342)(3,761,095)(4,377,920)(3,761,095)
Total shareholders’ equity$12,910,073 $11,795,110 $12,417,566 $12,919,589 $13,545,896 $12,910,073 $13,545,896 

6

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Cash Flows
(U.S. Dollars in thousands)Three Months EndedYear Ended
December 31,September 30,June 30,March 31,December 31,December 31,December 31,
2022202220222022202120222021
Operating Activities       
Net income (loss)$862,788 $18,258 $403,945 $197,432 $623,675 $1,482,423 $2,239,462 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses(91,112)187,407 266,060 289,213 (60,054)651,568 (427,367)
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss46,752 62,590 55,235 (11,420)(91,400)153,157 (464,050)
Amortization of intangible assets25,722 26,104 27,207 27,167 33,132 106,200 82,955 
Share-based compensation7,599 13,511 21,139 45,379 14,791 87,628 87,094 
Changes in:
Reserve for losses and loss adjustment expenses, net335,931 918,602 358,528 275,954 213,979 1,889,015 1,762,190 
Unearned premiums, net273,717 253,024 358,864 513,507 (49,203)1,399,112 936,039 
Premiums receivable(13,488)(9,951)(485,099)(600,691)161,884 (1,109,229)(685,214)
Deferred acquisition costs(131,690)(68,466)(76,912)(96,999)(15,277)(374,067)(263,243)
Reinsurance balances payable(163,927)56,323 146,117 (74,022)(118,506)(35,509)500,065 
Other items, net(170,782)(77,653)(172,679)(13,957)86,983 (435,071)(340,376)
Net cash provided by operating activities981,510 1,379,749 902,405 551,563 800,004 3,815,227 3,427,555 
Investing Activities       
Purchases of fixed maturity investments(3,325,173)(3,359,345)(2,978,292)(6,727,665)(5,581,835)(16,390,475)(35,451,858)
Purchases of equity securities(10,265)(131,160)(246,958)(408,615)(196,529)(796,998)(1,175,480)
Purchases of other investments(450,358)(349,715)(303,725)(616,659)(509,040)(1,720,457)(1,859,096)
Proceeds from sales of fixed maturity investments1,853,586 1,911,450 2,025,616 6,053,352 3,509,653 11,844,004 33,577,445 
Proceeds from sales of equity securities14,308 49,596 389,956 1,100,256 222,512 1,554,116 918,145 
Proceeds from sales, redemptions and maturities of other investments145,393 212,346 292,992 570,341 277,614 1,221,072 1,765,533 
Proceeds from redemptions and maturities of fixed maturity investments136,655 133,791 203,320 240,753 394,343 714,519 1,628,755 
Net settlements of derivative instruments37,529 (61,509)(42,328)(2,510)27,758 (68,818)(40,072)
Net (purchases) sales of short-term investments619,229 288,012 70,760 (510,752)1,338,070 467,249 165,272 
Purchase of operating affiliate, net— — — — — — (753,916)
Impact of the deconsolidation of a variable interest entity— — — — — — (349,202)
Purchases of fixed assets(13,289)(14,553)(12,060)(11,770)(6,987)(51,672)(41,394)
Other(2,949)29,968 97,836 550 (162,007)125,405 (523,864)
Net cash provided by (used for) investing activities(995,334)(1,291,119)(502,883)(312,719)(686,448)(3,102,055)(2,139,732)
Financing Activities       
Proceeds from issuance of preferred shares, net— — — — — — 485,821 
Redemption of preferred shares— — — — — — (450,000)
Purchases of common shares under share repurchase program— (10,147)(320,688)(254,988)(362,097)(585,823)(1,234,294)
Proceeds from common shares issued, net9,523 1,202 13,195 (17,260)6,137 6,660 6,418 
Third party investment in non-redeemable noncontrolling interests— — — — — — 15,971 
Dividends paid to redeemable noncontrolling interests— — — — — — (1,907)
Other(1,188)(2,632)(130,866)48,859 18,474 (85,827)(3,278)
Preferred dividends paid(10,184)(10,184)(10,184)(10,184)(10,184)(40,736)(48,280)
Net cash provided by (used for) financing activities(1,849)(21,761)(448,543)(233,573)(347,670)(705,726)(1,229,549)
Effects of exchange rate changes on foreign currency cash and restricted cash30,677 (36,776)(38,866)(3,924)(24)(48,889)(34,047)
Increase (decrease) in cash and restricted cash15,004 30,093 (87,887)1,347 (234,138)(41,443)24,227 
Cash and restricted cash, beginning of period1,258,324 1,228,231 1,316,118 1,314,771 1,548,909 1,314,771 1,290,544 
Cash and restricted cash, end of period$1,273,328 $1,258,324 $1,228,231 $1,316,118 $1,314,771 $1,273,328 $1,314,771 
Income taxes paid (received)$53,371 $72,930 $119,616 $9,005 $84,371 $254,922 $286,810 
Interest paid$63,413 $416 $63,948 $648 $63,498 $128,425 $139,301 
Net cash provided by operating activities, excluding the ‘other’ segment$981,510 $1,379,749 $902,405 $551,563 $800,004 $3,815,227 $3,380,701 
7

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview


The Company classifies its businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — ‘other’ and corporate segment. The Company’s 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 the Company’s chief operating decision makers, the Chief Executive Officer of Arch, the Chief Financial Officer and Treasurer of Arch and the President and Chief Underwriting Officer of Arch. 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 its three core underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income is not allocated to each underwriting segment.

The Company determined its reportable operating 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 the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.

Insurance Segment

The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:

•    Construction and national accounts: primary and excess casualty coverages for middle market and large construction accounts, a comprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, including loss sensitive primary insurance programs (large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages written on a non-admitted basis.
•    Warranty and lenders solutions: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes, cyber insurance, and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily targeting program managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and workers’ compensation.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, cargo, war, specie and liability. Aviation, standalone terrorism and political risks are also offered. Coverage may be provided for operational and construction risk.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract, commercial and transactional surety coverages.
8

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview

Reinsurance Segment
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered when aggregate losses and loss adjustment expense from a single occurrence of a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for personal lines and/or commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on either a treaty or facultative basis.
Other: includes life reinsurance business, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.
Mortgage Segment
The mortgage segment includes the Company’s underwriting units which offer mortgage insurance and reinsurance products on a worldwide basis. Underwriting units include:
U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes Arch Mortgage Guaranty Company, which is not a government sponsored enterprise (“GSE”) approved entity.
U.S. credit risk transfer (“CRT”) and other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
Corporate Segment
The corporate segment results include net investment income, 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 investment funds 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, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.
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 the Company concluded that it was the primary beneficiary of Somers. As such, the Company consolidated the results of Somers in its consolidated financial statements through June 30, 2021. The portion of Somers’ earnings attributable to third party investors was recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ Management measures segment performance for the ‘other’ segment based on net income or loss. In July 2021, the Company 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.

9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
December 31, 2022
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,644,066 $1,797,037 $355,827 $3,795,262 $— $3,795,262 
Premiums ceded(427,336)(253,655)(81,303)(760,626)— (760,626)
Net premiums written1,216,730 1,543,382 274,524 3,034,636 — 3,034,636 
Change in unearned premiums26,857 (318,174)17,600 (273,717)— (273,717)
Net premiums earned1,243,587 1,225,208 292,124 2,760,919 — 2,760,919 
Other underwriting income (loss)— (943)2,226 1,283 — 1,283 
Losses and loss adjustment expenses(729,784)(648,654)137,108 (1,241,330)— (1,241,330)
Acquisition expenses(244,059)(243,640)(12,816)(500,515)— (500,515)
Other operating expenses(172,060)(68,925)(45,108)(286,093)— (286,093)
Underwriting income (loss)$97,684 $263,046 $373,534 734,264 — 734,264 
Net investment income181,079 — 181,079 
Net realized gains (losses)79,932 — 79,932 
Equity in net income (loss) of investment funds accounted for using the equity method40,351 — 40,351 
Other income (loss)8,321 — 8,321 
Corporate expenses (2)(17,462)— (17,462)
Transaction costs and other (2)(358)— (358)
Amortization of intangible assets(25,722)— (25,722)
Interest expense(31,700)— (31,700)
Net foreign exchange gains (losses)(81,224)— (81,224)
Income (loss) before income taxes and income (loss) from operating affiliates887,481 — 887,481 
Income tax (expense) benefit(60,919)— (60,919)
Income (loss) from operating affiliates36,226 — 36,226 
Net income (loss)862,788 — 862,788 
Amounts attributable to redeemable noncontrolling interests(3,100)— (3,100)
Net income (loss) available to Arch859,688 — 859,688 
Preferred dividends(10,184)— (10,184)
Net income (loss) available to Arch common shareholders$849,504 $— $849,504 
Underwriting Ratios
Loss ratio58.7 %52.9 %(46.9)%45.0 %— %45.0 %
Acquisition expense ratio19.6 %19.9 %4.4 %18.1 %— %18.1 %
Other operating expense ratio13.8 %5.6 %15.4 %10.4 %— %10.4 %
Combined ratio92.1 %78.4 %(27.1)%73.5 %— %73.5 %
Net premiums written to gross premiums written74.0 %85.9 %77.2 %80.0 %— %80.0 %
Total investable assets$28,065,497 $— $28,065,497 
Total assets47,990,507 — 47,990,507 
Total liabilities35,069,605 — 35,069,605 

(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.
10

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
December 31, 2021
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,486,362 $1,013,090 $364,134 $2,861,575 $— $2,861,575 
Premiums ceded(450,376)(303,949)(74,834)(827,148)— (827,148)
Net premiums written1,035,986 709,141 289,300 2,034,427 — 2,034,427 
Change in unearned premiums(33,089)70,676 11,616 49,203 — 49,203 
Net premiums earned1,002,897 779,817 300,916 2,083,630 — 2,083,630 
Other underwriting income (loss)— 521 2,639 3,160 — 3,160 
Losses and loss adjustment expenses(594,108)(430,180)28,435 (995,853)— (995,853)
Acquisition expenses(188,724)(155,694)(13,121)(357,539)— (357,539)
Other operating expenses(149,520)(61,954)(50,313)(261,787)— (261,787)
Underwriting income (loss)$70,545 $132,510 $268,556 471,611 — 471,611 
Net investment income90,454 — 90,454 
Net realized gains (losses)59,517 — 59,517 
Equity in net income (loss) of investment funds accounted for using the equity method67,132 — 67,132 
Other income (loss)9,093 — 9,093 
Corporate expenses (2)(17,840)— (17,840)
Transaction costs and other (2)(310)— (310)
Amortization of intangible assets(33,132)— (33,132)
Interest expense(32,248)— (32,248)
Net foreign exchange gains (losses)3,163 — 3,163 
Income (loss) before income taxes and income (loss) from operating affiliates617,440 — 617,440 
Income tax (expense) benefit(34,406)— (34,406)
Income (loss) from operating affiliates40,641 — 40,641 
Net income (loss)623,675 — 623,675 
Amounts attributable to redeemable noncontrolling interests(410)— (410)
Net income (loss) available to Arch623,265 — 623,265 
Preferred dividends(10,184)— (10,184)
Net income (loss) available to Arch common shareholders$613,081 $— $613,081 
Underwriting Ratios
Loss ratio59.2 %55.2 %(9.4)%47.8 %— %47.8 %
Acquisition expense ratio18.8 %20.0 %4.4 %17.2 %— %17.2 %
Other operating expense ratio14.9 %7.9 %16.7 %12.6 %— %12.6 %
Combined ratio92.9 %83.1 %11.7 %77.6 %— %77.6 %
Net premiums written to gross premiums written69.7 %70.0 %79.4 %71.1 %— %71.1 %
Total investable assets$27,442,153 $— $27,442,153 
Total assets45,100,945 — 45,100,945 
Total liabilities31,545,816 — 31,545,816 
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Year Ended
December 31, 2022
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$6,930,864 $6,948,438 $1,454,971 $15,326,447 $— $15,326,447 
Premiums ceded(1,910,222)(2,024,462)(322,400)(4,249,258)— (4,249,258)
Net premiums written5,020,642 4,923,976 1,132,571 11,077,189 — 11,077,189 
Change in unearned premiums(461,307)(964,595)26,790 (1,399,112)— (1,399,112)
Net premiums earned4,559,335 3,959,381 1,159,361 9,678,077 — 9,678,077 
Other underwriting income (loss)— 4,871 8,356 13,227 — 13,227 
Losses and loss adjustment expenses(2,782,945)(2,568,843)324,271 (5,027,517)— (5,027,517)
Acquisition expenses(885,866)(813,555)(40,159)(1,739,580)— (1,739,580)
Other operating expenses(665,472)(267,531)(195,172)(1,128,175)— (1,128,175)
Underwriting income (loss)$225,052 $314,323 $1,256,657 1,796,032 — 1,796,032 
Net investment income496,547 — 496,547 
Net realized gains (losses)(662,734)— (662,734)
Equity in net income (loss) of investment funds accounted for using the equity method115,856 — 115,856 
Other income (loss)(26,165)— (26,165)
Corporate expenses (2)(94,390)— (94,390)
Transaction costs and other (2)(1,092)— (1,092)
Amortization of intangible assets(106,200)— (106,200)
Interest expense(130,266)— (130,266)
Net foreign exchange gains (losses)100,905 — 100,905 
Income (loss) before income taxes and income (loss) from operating affiliates1,488,493 — 1,488,493 
Income tax (expense) benefit(79,961)— (79,961)
Income (loss) from operating affiliates73,891 — 73,891 
Net income (loss)1,482,423 — 1,482,423 
Amounts attributable to redeemable noncontrolling interests(5,490)— (5,490)
Net income (loss) available to Arch1,476,933 — 1,476,933 
Preferred dividends(40,736)— (40,736)
Net income (loss) available to Arch common shareholders$1,436,197 $— $1,436,197 
Underwriting Ratios
Loss ratio61.0 %64.9 %(28.0)%51.9 %— %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 %— %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 %— %11.7 %
Combined ratio95.0 %92.2 %(7.7)%81.6 %— %81.6 %
Net premiums written to gross premiums written72.4 %70.9 %77.8 %72.3 %— %72.3 %
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.
12

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Year Ended
December 31, 2021
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$5,867,734 $5,093,930 $1,507,825 $12,463,788 $457,465 $12,752,487 
Premiums ceded(1,719,541)(1,839,556)(246,757)(3,800,153)(102,763)(3,734,150)
Net premiums written4,148,193 3,254,374 1,261,068 8,663,635 354,702 9,018,337 
Change in unearned premiums(521,725)(413,931)22,351 (913,305)(22,734)(936,039)
Net premiums earned3,626,468 2,840,443 1,283,419 7,750,330 331,968 8,082,298 
Other underwriting income (loss)— 3,669 17,665 21,334 739 22,073 
Losses and loss adjustment expenses(2,344,365)(1,924,719)(56,677)(4,325,761)(259,042)(4,584,803)
Acquisition expenses(606,265)(536,754)(97,418)(1,240,437)(62,741)(1,303,178)
Other operating expenses(558,906)(212,810)(194,010)(965,726)(32,869)(998,595)
Underwriting income (loss)$116,932 $169,829 $952,979 1,239,740 (21,945)1,217,795 
Net investment income346,808 42,310 389,118 
Net realized gains (losses)299,207 80,638 379,845 
Equity in net income (loss) of investment funds accounted for using the equity method366,402 — 366,402 
Other income (loss)10,244 — 10,244 
Corporate expenses (2)(77,119)— (77,119)
Transaction costs and other (2)(1,103)(935)(2,038)
Amortization of intangible assets(82,057)(898)(82,955)
Interest expense(131,060)(8,410)(139,470)
Net foreign exchange gains (losses)42,854 (1,325)41,529 
Income (loss) before income taxes and income (loss) from operating affiliates2,013,916 89,435 2,103,351 
Income tax (expense) benefit(128,348)(234)(128,582)
Income (loss) from operating affiliates264,693 — 264,693 
Net income (loss)2,150,261 89,201 2,239,462 
Amounts attributable to redeemable noncontrolling interests(2,346)(1,953)(4,299)
Amounts attributable to nonredeemable noncontrolling interests— (78,314)(78,314)
Net income (loss) available to Arch2,147,915 8,934 2,156,849 
Preferred dividends(48,343)— (48,343)
Loss on redemption of preferred shares(15,101)— (15,101)
Net income (loss) available to Arch common shareholders$2,084,471 $8,934 $2,093,405 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Net premiums written to gross premiums written70.7 %63.9 %83.6 %69.5 %77.5 %70.7 %
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.

13

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Gross premiums written$1,644,066 $1,862,026 $1,705,167 $1,719,605 $1,486,362 $6,930,864 $5,867,734 
Premiums ceded(427,336)(493,267)(476,910)(512,709)(450,376)(1,910,222)(1,719,541)
Net premiums written1,216,730 1,368,759 1,228,257 1,206,896 1,035,986 5,020,642 4,148,193 
Change in unearned premiums26,857 (181,851)(126,113)(180,200)(33,089)(461,307)(521,725)
Net premiums earned1,243,587 1,186,908 1,102,144 1,026,696 1,002,897 4,559,335 3,626,468 
Losses and loss adjustment expenses(729,784)(822,663)(629,759)(600,739)(594,108)(2,782,945)(2,344,365)
Acquisition expenses(244,059)(232,469)(213,688)(195,650)(188,724)(885,866)(606,265)
Other operating expenses(172,060)(165,499)(161,088)(166,825)(149,520)(665,472)(558,906)
Underwriting income (loss)$97,684 $(33,723)$97,609 $63,482 $70,545 $225,052 $116,932 
Underwriting Ratios
Loss ratio58.7 %69.3 %57.1 %58.5 %59.2 %61.0 %64.6 %
Acquisition expense ratio19.6 %19.6 %19.4 %19.1 %18.8 %19.4 %16.7 %
Other operating expense ratio13.8 %13.9 %14.6 %16.2 %14.9 %14.6 %15.4 %
Combined ratio92.1 %102.8 %91.1 %93.8 %92.9 %95.0 %96.7 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums2.8 %13.4 %1.5 %3.1 %2.0 %5.3 %5.6 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(0.3)%(0.1)%(0.4)%(0.1)%(0.3)%(0.2)%(0.4)%
Combined ratio excluding catastrophic activity and prior year development (1)89.6 %89.5 %90.0 %90.8 %91.2 %89.9 %91.5 %
Net premiums written to gross premiums written74.0 %73.5 %72.0 %70.2 %69.7 %72.4 %70.7 %
 
(1)See ‘Comments on Regulation G’ for further discussion.

14

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Net premiums written
Professional Lines$393,032 32.3 %$412,173 30.1 %$349,402 28.4 %$347,841 28.8 %$373,752 36.1 %$1,502,448 29.9 %$1,177,144 28.4 %
Property, energy, marine and aviation190,325 15.6 %241,357 17.6 %245,724 20.0 %200,661 16.6 %158,120 15.3 %878,067 17.5 %722,582 17.4 %
Construction and national accounts134,997 11.1 %98,381 7.2 %100,656 8.2 %135,683 11.2 %98,468 9.5 %469,717 9.4 %431,952 10.4 %
Programs129,919 10.7 %189,263 13.8 %163,339 13.3 %129,401 10.7 %92,002 8.9 %611,922 12.2 %595,824 14.4 %
Excess and surplus casualty129,083 10.6 %110,917 8.1 %120,509 9.8 %100,289 8.3 %101,199 9.8 %460,798 9.2 %359,458 8.7 %
Travel, accident and health106,111 8.7 %107,434 7.8 %105,970 8.6 %165,332 13.7 %79,176 7.6 %484,847 9.7 %305,390 7.4 %
Warranty and lenders solutions36,084 3.0 %41,889 3.1 %36,042 2.9 %25,232 2.1 %32,833 3.2 %139,247 2.8 %146,984 3.5 %
Other97,179 8.0 %167,345 12.2 %106,615 8.7 %102,457 8.5 %100,436 9.7 %473,596 9.4 %408,859 9.9 %
Total$1,216,730 100.0 %$1,368,759 100.0 %$1,228,257 100.0 %$1,206,896 100.0 %$1,035,986 100.0 %$5,020,642 100.0 %$4,148,193 100.0 %
Underwriting location
United States$786,692 64.7 %$915,833 66.9 %$842,851 68.6 %$794,662 65.8 %$680,840 65.7 %$3,340,038 66.5 %$2,813,039 67.8 %
Europe351,396 28.9 %380,063 27.8 %316,363 25.8 %357,897 29.7 %292,591 28.2 %1,405,719 28.0 %1,125,192 27.1 %
Other78,642 6.5 %72,863 5.3 %69,043 5.6 %54,337 4.5 %62,555 6.0 %274,885 5.5 %209,962 5.1 %
Total$1,216,730 100.0 %$1,368,759 100.0 %$1,228,257 100.0 %$1,206,896 100.0 %$1,035,986 100.0 %$5,020,642 100.0 %$4,148,193 100.0 %
Net premiums earned
Professional Lines$368,475 29.6 %$341,833 28.8 %$314,115 28.5 %$289,813 28.2 %$280,041 27.9 %$1,314,236 28.8 %$942,817 26.0 %
Property, energy, marine and aviation214,907 17.3 %202,483 17.1 %180,663 16.4 %174,335 17.0 %179,566 17.9 %772,388 16.9 %667,892 18.4 %
Construction and national accounts125,816 10.1 %109,905 9.3 %98,831 9.0 %97,468 9.5 %98,510 9.8 %432,020 9.5 %416,107 11.5 %
Programs150,917 12.1 %150,453 12.7 %148,681 13.5 %139,809 13.6 %137,754 13.7 %589,860 12.9 %506,867 14.0 %
Excess and surplus casualty104,048 8.4 %100,175 8.4 %98,369 8.9 %90,761 8.8 %85,713 8.5 %393,353 8.6 %318,027 8.8 %
Travel, accident and health123,587 9.9 %133,445 11.2 %130,185 11.8 %104,630 10.2 %87,212 8.7 %491,847 10.8 %255,590 7.0 %
Warranty and lenders solutions35,787 2.9 %33,253 2.8 %27,594 2.5 %30,588 3.0 %34,451 3.4 %127,222 2.8 %153,958 4.2 %
Other120,050 9.7 %115,361 9.7 %103,706 9.4 %99,292 9.7 %99,650 9.9 %438,409 9.6 %365,210 10.1 %
Total$1,243,587 100.0 %$1,186,908 100.0 %$1,102,144 100.0 %$1,026,696 100.0 %$1,002,897 100.0 %$4,559,335 100.0 %$3,626,468 100.0 %

15

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Gross premiums written$1,797,037 $1,639,061 $1,793,398 $1,718,942 $1,013,090 $6,948,438 $5,093,930 
Premiums ceded(253,655)(560,225)(630,764)(579,818)(303,949)(2,024,462)(1,839,556)
Net premiums written1,543,382 1,078,836 1,162,634 1,139,124 709,141 4,923,976 3,254,374 
Change in unearned premiums(318,174)(77,062)(234,635)(334,724)70,676 (964,595)(413,931)
Net premiums earned1,225,208 1,001,774 927,999 804,400 779,817 3,959,381 2,840,443 
Other underwriting income (loss)(943)452 4,526 836 521 4,871 3,669 
Losses and loss adjustment expenses(648,654)(927,911)(537,578)(454,700)(430,180)(2,568,843)(1,924,719)
Acquisition expenses(243,640)(208,425)(189,494)(171,996)(155,694)(813,555)(536,754)
Other operating expenses(68,925)(62,777)(66,053)(69,776)(61,954)(267,531)(212,810)
Underwriting income (loss)$263,046 $(196,887)$139,400 $108,764 $132,510 $314,323 $169,829 
Underwriting Ratios
Loss ratio52.9 %92.6 %57.9 %56.5 %55.2 %64.9 %67.8 %
Acquisition expense ratio19.9 %20.8 %20.4 %21.4 %20.0 %20.5 %18.9 %
Other operating expense ratio5.6 %6.3 %7.1 %8.7 %7.9 %6.8 %7.5 %
Combined ratio78.4 %119.7 %85.4 %86.6 %83.1 %92.2 %94.2 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums0.0 %39.1 %7.1 %6.7 %6.7 %12.9 %15.4 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(4.5)%(4.9)%(4.5)%(2.8)%(6.4)%(4.3)%(5.6)%
Combined ratio excluding catastrophic activity and prior year development (1)82.9 %85.5 %82.8 %82.7 %82.8 %83.6 %84.4 %
Net premiums written to gross premiums written85.9 %65.8 %64.8 %66.3 %70.0 %70.9 %63.9 %
 
(1)See ‘Comments on Regulation G’ for further discussion.



16

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Net premiums written
Other Specialty$803,046 52.0 %$381,004 35.3 %$434,710 37.4 %$363,834 31.9 %$207,812 29.3 %$1,982,594 40.3 %$955,474 29.4 %
Property excluding property catastrophe339,813 22.0 %341,809 31.7 %299,042 25.7 %295,419 25.9 %225,127 31.7 %1,276,083 25.9 %1,004,086 30.9 %
Casualty264,461 17.1 %230,308 21.3 %212,724 18.3 %266,455 23.4 %176,952 25.0 %973,948 19.8 %808,164 24.8 %
Property catastrophe54,697 3.5 %77,606 7.2 %154,451 13.3 %128,971 11.3 %35,536 5.0 %415,725 8.4 %233,260 7.2 %
Marine and aviation51,354 3.3 %28,633 2.7 %35,129 3.0 %51,817 4.5 %40,708 5.7 %166,933 3.4 %171,753 5.3 %
Other30,011 1.9 %19,476 1.8 %26,578 2.3 %32,628 2.9 %23,006 3.2 %108,693 2.2 %81,637 2.5 %
Total$1,543,382 100.0 %$1,078,836 100.0 %$1,162,634 100.0 %$1,139,124 100.0 %$709,141 100.0 %$4,923,976 100.0 %$3,254,374 100.0 %
Underwriting location
Bermuda$910,696 59.0 %$520,594 48.3 %$589,169 50.7 %$541,312 47.5 %$340,108 48.0 %$2,561,771 52.0 %$1,557,294 47.9 %
United States376,736 24.4 %312,179 28.9 %286,925 24.7 %270,667 23.8 %201,079 28.4 %1,246,507 25.3 %828,504 25.5 %
Europe and other255,950 16.6 %246,063 22.8 %286,540 24.6 %327,145 28.7 %167,954 23.7 %1,115,698 22.7 %868,576 26.7 %
Total$1,543,382 100.0 %$1,078,836 100.0 %$1,162,634 100.0 %$1,139,124 100.0 %$709,141 100.0 %$4,923,976 100.0 %$3,254,374 100.0 %
Net premiums earned
Other Specialty$531,799 43.4 %$330,142 33.0 %$284,321 30.6 %$231,618 28.8 %$247,437 31.7 %$1,377,880 34.8 %$818,801 28.8 %
Property excluding property catastrophe309,878 25.3 %282,488 28.2 %266,545 28.7 %232,529 28.9 %235,731 30.2 %1,091,440 27.6 %836,573 29.5 %
Casualty220,335 18.0 %221,636 22.1 %214,714 23.1 %197,858 24.6 %174,180 22.3 %854,543 21.6 %666,754 23.5 %
Property catastrophe77,416 6.3 %117,820 11.8 %94,679 10.2 %77,076 9.6 %55,453 7.1 %366,991 9.3 %280,738 9.9 %
Marine and aviation50,259 4.1 %25,182 2.5 %41,768 4.5 %42,192 5.2 %40,256 5.2 %159,401 4.0 %152,955 5.4 %
Other35,521 2.9 %24,506 2.4 %25,972 2.8 %23,127 2.9 %26,760 3.4 %109,126 2.8 %84,622 3.0 %
Total$1,225,208 100.0 %$1,001,774 100.0 %$927,999 100.0 %$804,400 100.0 %$779,817 100.0 %$3,959,381 100.0 %$2,840,443 100.0 %
                    
17

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
2022202220222022202120222021
Gross premiums written$355,827 $362,409 $371,896 $364,839 $364,134 $1,454,971 $1,507,825 
Premiums ceded(81,303)(86,230)(78,148)(76,719)(74,834)(322,400)(246,757)
Net premiums written274,524 276,179 293,748 288,120 289,300 1,132,571 1,261,068 
Change in unearned premiums17,600 5,889 1,884 1,417 11,616 26,790 22,351 
Net premiums earned292,124 282,068 295,632 289,537 300,916 1,159,361 1,283,419 
Other underwriting income (1)2,226 2,625 (1,556)5,061 2,639 8,356 17,665 
Losses and loss adjustment expenses137,108 67,878 64,681 54,604 28,435 324,271 (56,677)
Acquisition expenses(12,816)(6,693)(10,137)(10,513)(13,121)(40,159)(97,418)
Other operating expenses(45,108)(46,471)(50,251)(53,342)(50,313)(195,172)(194,010)
Underwriting income$373,534 $299,407 $298,369 $285,347 $268,556 $1,256,657 $952,979 
Underwriting Ratios
Loss ratio(46.9)%(24.1)%(21.9)%(18.9)%(9.4)%(28.0)%4.4 %
Acquisition expense ratio4.4 %2.4 %3.4 %3.6 %4.4 %3.5 %7.6 %
Other operating expense ratio15.4 %16.5 %17.0 %18.4 %16.7 %16.8 %15.1 %
Combined ratio(27.1)%(5.2)%(1.5)%3.1 %11.7 %(7.7)%27.1 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(72.1)%(45.1)%(40.7)%(36.5)%(24.2)%(48.6)%(13.8)%
Combined ratio excluding prior year development (2)45.0 %39.9 %39.2 %39.6 %35.9 %40.9 %40.9 %
Net premiums written to gross premiums written77.2 %76.2 %79.0 %79.0 %79.4 %77.8 %83.6 %
Net premiums written by underwriting location
United States$189,650 $188,290 $201,166 $201,150 $210,988 $780,256 $914,477 
Other84,874 87,889 92,582 86,970 78,312 352,315 346,591 
Total$274,524 $276,179 $293,748 $288,120 $289,300 $1,132,571 $1,261,068 
United States %69.1 %68.2 %68.5 %69.8 %72.9 %68.9 %72.5 %
Other %30.9 %31.8 %31.5 %30.2 %27.1 %31.1 %27.5 %

(1)     Primarily related to income earned on various risk-sharing products offered to government sponsored enterprises and mortgage lenders.
(2)    See ‘Comments on Regulation G’ for further discussion.
18

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions)December 31, 2022September 30, 2022June 30, 2022March 31, 2022December 31, 2021
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance$295,651 57.6 %$294,857 58.8 %$291,952 59.8 %$283,484 59.7 %$280,945 61.0 %
U.S. credit risk transfer (CRT) and other (2)145,087 28.3 %143,897 28.7 %129,203 26.5 %122,189 25.8 %110,018 23.9 %
International mortgage insurance/reinsurance (3)72,315 14.1 %63,068 12.6 %67,082 13.7 %68,800 14.5 %69,655 15.1 %
Total$513,053 100.0 %$501,822 100.0 %$488,237 100.0 %$474,473 100.0 %$460,618 100.0 %
Risk In Force (RIF) (4)
U.S. primary mortgage insurance$75,806 84.8 %$75,343 85.1 %$74,258 85.0 %$71,699 84.3 %$70,619 84.3 %
U.S. credit risk transfer and other (2)6,245 7.0 %6,473 7.3 %6,037 6.9 %5,670 6.7 %5,120 6.1 %
International mortgage insurance/reinsurance (3)7,369 8.2 %6,727 7.6 %7,103 8.1 %7,709 9.1 %7,983 9.5 %
Total$89,420 100.0 %$88,543 100.0 %$87,398 100.0 %$85,078 100.0 %$83,722 100.0 %
Supplemental disclosures for U.S. primary mortgage insurance:
Total RIF by credit quality (FICO score):
>=740$46,812 61.8 %$46,538 61.8 %$45,612 61.4 %$43,509 60.7 %$42,451 60.1 %
680-73924,945 32.9 %24,671 32.7 %24,409 32.9 %23,827 33.2 %23,646 33.5 %
620-6793,772 5.0 %3,850 5.1 %3,942 5.3 %4,052 5.7 %4,196 5.9 %
<620277 0.4 %284 0.4 %295 0.4 %311 0.4 %326 0.5 %
Total$75,806 100.0 %$75,343 100.0 %$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %
Weighted average FICO score750 748 747 747 746 
Total RIF by Loan-To-Value (LTV):
95.01% and above$7,289 9.6 %$7,334 9.7 %$7,400 10.0 %$7,421 10.4 %$7,538 10.7 %
90.01% to 95.00%43,681 57.6 %43,049 57.1 %41,951 56.5 %39,882 55.6 %38,829 55.0 %
85.01% to 90.00%20,851 27.5 %20,876 27.7 %20,718 27.9 %20,183 28.1 %20,006 28.3 %
85.00% and below3,985 5.3 %4,084 5.4 %4,189 5.6 %4,213 5.9 %4,246 6.0 %
Total$75,806 100.0 %$75,343 100.0 %$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %
Weighted average LTV92.8 %92.9 %92.8 %92.8 %92.8 %
Total RIF by State:
California$6,341 8.4 %$6,219 8.3 %$6,077 8.2 %$5,781 8.1 %$5,559 7.9 %
Texas6,151 8.1 %6,080 8.1 %5,971 8.0 %5,733 8.0 %5,594 7.9 %
Florida3,268 4.3 %3,275 4.3 %3,301 4.4 %3,272 4.6 %3,303 4.7 %
Georgia3,169 4.2 %3,150 4.2 %3,109 4.2 %2,978 4.2 %2,902 4.1 %
North Carolina3,160 4.2 %3,139 4.2 %3,075 4.1 %2,964 4.1 %2,921 4.1 %
Illinois3,081 4.1 %3,087 4.1 %3,054 4.1 %2,955 4.1 %2,933 4.2 %
Minnesota3,003 4.0 %2,996 4.0 %2,980 4.0 %2,913 4.1 %2,916 4.1 %
Massachusetts2,809 3.7 %2,771 3.7 %2,684 3.6 %2,566 3.6 %2,537 3.6 %
Virginia2,656 3.5 %2,647 3.5 %2,634 3.5 %2,504 3.5 %2,446 3.5 %
Michigan2,618 3.5 %2,587 3.4 %2,558 3.4 %2,509 3.5 %2,492 3.5 %
Other39,550 52.2 %39,392 52.3 %38,815 52.3 %37,524 52.3 %37,016 52.4 %
Total$75,806 100.0 %$75,343 100.0 %$74,258 100.0 %$71,699 100.0 %$70,619 100.0 %
Weighted average coverage (end of period RIF divided by IIF)25.6 %25.6 %25.4 %25.3 %25.1 %
U.S. mortgage insurance total RIF, net of reinsurance (5)$57,151 $56,890 $56,529 $54,792 $54,574 
Analysts’ persistency (6)79.5 %75.4 %71.3 %66.9 %62.4 %
Risk-to-capital ratio -- Arch MI U.S. (7)7.2:1 7.6:1 7.8:1 7.8:1 8.0:1
PMIER sufficiency ratio -- Arch MI U.S. (8)236 %237 %219 %205 %197 %

(1) The aggregate dollar amount of each insured mortgage loan’s current principal balance.(5) Total RIF for the U.S. mortgage insurance operations (see note 4) after external reinsurance.
(2) Includes all CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
(6) Represents the % of IIF at the beginning of a 12-mo. period that remained in force at the end of the period.
(3) International mortgage insurance and reinsurance with risk primarily located in Australia and to lesser extent Europe and Asia.
(7) Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for December 31, 2022).
(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
(8) Calculated as available assets divided by required assets as defined within PMIERs (estimate for December 31, 2022). There was approximately $2.16 billion of excess available assets at December 31, 2022.
19

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions, except policy/loan/claim count)Three Months Ended
December 31, 2022September 30, 2022June 30, 2022March 31, 2022December 31, 2021
Supplemental disclosures for U.S. primary mortgage insurance:
Total new insurance written (NIW) (1)$11,413 $17,425 $23,499 $20,015 $22,544 
Total NIW by credit quality (FICO score):
>=740$7,155 62.7 %$11,615 66.7 %$16,121 68.6 %$13,152 65.7 %$14,349 63.6 %
680-7393,992 35.0 %5,322 30.5 %6,800 28.9 %6,254 31.2 %7,238 32.1 %
620-679265 2.3 %485 2.8 %576 2.5 %606 3.0 %957 4.2 %
<620— %— %— %— %— — %
  Total$11,413 100.0 %$17,425 100.0 %$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %
Total NIW by LTV:
95.01% and above$555 4.9 %$973 5.6 %$1,195 5.1 %$1,096 5.5 %$1,475 6.5 %
90.01% to 95.00%6,725 58.9 %9,916 56.9 %13,290 56.6 %10,778 53.8 %11,382 50.5 %
85.01% to 90.00%3,040 26.6 %4,839 27.8 %6,591 28.0 %5,733 28.6 %6,677 29.6 %
85.00% and below1,093 9.6 %1,697 9.7 %2,423 10.3 %2,408 12.0 %3,010 13.4 %
  Total$11,413 100.0 %$17,425 100.0 %$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %
Total NIW monthly vs. single:
Monthly$11,090 97.2 %$16,911 97.1 %$22,872 97.3 %$19,201 95.9 %$21,623 95.9 %
Single323 2.8 %514 2.9 %627 2.7 %814 4.1 %921 4.1 %
  Total$11,413 100.0 %$17,425 100.0 %$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %
Total NIW purchase vs. refinance:
Purchase$11,202 98.2 %$17,159 98.5 %$23,059 98.1 %$19,157 95.7 %$21,174 93.9 %
Refinance211 1.8 %266 1.5 %440 1.9 %858 4.3 %1,370 6.1 %
  Total$11,413 100.0 %$17,425 100.0 %$23,499 100.0 %$20,015 100.0 %$22,544 100.0 %
Ending number of policies in force (PIF) (2)1,160,219 1,168,735 1,168,147 1,159,020 1,171,835 
Rollforward of insured loans in default:
Beginning delinquent number of loans20,214 20,692 24,270 27,645 31,770 
Plus: new notices10,068 9,515 7,978 8,835 9,071 
Less: cures(9,564)(9,832)(11,363)(12,030)(13,038)
Less: paid claims(151)(161)(193)(180)(158)
Ending delinquent number of loans (2)20,567 20,214 20,692 24,270 27,645 
Ending percentage of loans in default (2)1.77 %1.73 %1.77 %2.09 %2.36 %
Losses:
Number of claims paid151 161 193 180 158 
Total paid claims (in thousands)$4,547 $5,223 $5,626 $6,016 $8,131 
Average per claim (in thousands)$30.1 $32.4 $29.2 $33.4 $51.5 
Severity (3)69.5 %72.3 %72.3 %78.1 %83.0 %
Average case reserve per default (in thousands)$21.1 $27.7 $30.3 $28.4 $26.7 
(1)    The original principal balance of all loans that received coverage during the period.    
(2)    Includes first lien primary and pool policies.    
(3)    Represents total paid claims divided by RIF of loans for which claims were paid.

20

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
Supplemental disclosures for U.S. primary mortgage insurance:
(U.S. Dollars in millions)December 31, 2022December 31, 2021
Loss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency RateLoss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency Rate
% of TotalTotal% of TotalTotal% of Total% of TotalTotal% of TotalTotal% of Total
Policy year:
2012 and prior33.8 %$9,931 3.4 %$2,424 3.2 %8.41 %27.9 %$13,030 4.6 %$2,960 4.2 %8.48 %
20132.2 %3,000 1.0 %798 1.1 %1.85 %2.6 %4,206 1.5 %1,148 1.6 %2.63 %
20141.9 %3,696 1.3 %1,012 1.3 %2.61 %1.9 %4,822 1.7 %1,328 1.9 %3.14 %
20152.4 %6,236 2.1 %1,680 2.2 %2.08 %3.0 %8,703 3.1 %2,340 3.3 %2.67 %
20165.8 %10,225 3.5 %2,744 3.6 %2.66 %7.6 %14,344 5.1 %3,841 5.4 %3.29 %
20179.1 %9,508 3.2 %2,521 3.3 %3.06 %10.9 %13,128 4.7 %3,436 4.9 %4.09 %
201811.6 %10,260 3.5 %2,625 3.5 %4.11 %15.2 %14,046 5.0 %3,562 5.0 %5.28 %
201910.2 %19,096 6.5 %4,840 6.4 %2.36 %15.2 %25,841 9.2 %6,467 9.2 %3.13 %
202011.3 %65,141 22.0 %16,414 21.7 %1.20 %12.5 %82,502 29.4 %20,341 28.8 %0.97 %
20219.9 %89,621 30.3 %22,740 30.0 %0.95 %3.2 %100,323 35.7 %25,196 35.7 %0.29 %
20221.7 %68,937 23.3 %18,008 23.8 %0.20 %
Total100.0 %$295,651 100.0 %$75,806 100.0 %1.77 %100.0 %$280,945 100.0 %$70,619 100.0 %2.36 %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $415.2 million at December 31, 2022, compared to $710.7 million at December 31, 2021.
(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.
(3)    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 transactions.
21

Arch Capital Group Ltd. and Subsidiaries
Segment Information - Consolidated Excluding the 'Other' Segment (Sub-Total (Core))

(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Gross premiums written$3,795,262 $3,860,683 $3,869,727 $3,800,775 $2,861,575 $15,326,447 $12,463,788 
Premiums ceded(760,626)(1,136,909)(1,185,088)(1,166,635)(827,148)(4,249,258)(3,800,153)
Net premiums written3,034,636 2,723,774 2,684,639 2,634,140 2,034,427 11,077,189 8,663,635 
Change in unearned premiums(273,717)(253,024)(358,864)(513,507)49,203 (1,399,112)(913,305)
Net premiums earned2,760,919 2,470,750 2,325,775 2,120,633 2,083,630 9,678,077 7,750,330 
Other underwriting income (loss)1,283 3,077 2,970 5,897 3,160 13,227 21,334 
Losses and loss adjustment expenses(1,241,330)(1,682,696)(1,102,656)(1,000,835)(995,853)(5,027,517)(4,325,761)
Acquisition expenses(500,515)(447,587)(413,319)(378,159)(357,539)(1,739,580)(1,240,437)
Other operating expenses(286,093)(274,747)(277,392)(289,943)(261,787)(1,128,175)(965,726)
Underwriting income (loss)$734,264 $68,797 $535,378 $457,593 $471,611 $1,796,032 $1,239,740 
Underwriting Ratios
Loss ratio45.0 %68.1 %47.4 %47.2 %47.8 %51.9 %55.8 %
Acquisition expense ratio18.1 %18.1 %17.8 %17.8 %17.2 %18.0 %16.0 %
Other operating expense ratio10.4 %11.1 %11.9 %13.7 %12.6 %11.7 %12.5 %
Combined ratio73.5 %97.3 %77.1 %78.7 %77.6 %81.6 %84.3 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums1.3 %22.3 %3.5 %4.0 %3.5 %7.8 %8.3 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(9.8)%(7.2)%(7.2)%(6.1)%(6.0)%(7.7)%(4.5)%
Combined ratio excluding catastrophic activity and prior year development (1)82.0 %82.2 %80.8 %80.8 %80.1 %81.5 %80.5 %
Components of losses and loss adjustment expenses incurred (1)
Paid losses and loss adjustment expenses$904,261 $765,542 $745,134 $727,011 $783,806 $3,141,948 $2,666,773 
Change in unpaid losses and loss adjustment expenses337,069 917,154 357,522 273,824 212,047 1,885,569 1,658,988 
Total losses and loss adjustment expenses$1,241,330 $1,682,696 $1,102,656 $1,000,835 $995,853 $5,027,517 $4,325,761 
Net premiums written to gross premiums written80.0 %70.6 %69.4 %69.3 %71.1 %72.3 %69.5 %
 
(1)See ‘Comments on Regulation G’ for further discussion.


22

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Selected Information on Losses and Loss Adjustment Expenses

(U.S. Dollars in thousands)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments (1)
Net impact on underwriting results:
Insurance$(4,206)$(1,171)$(4,469)$(1,406)$(2,990)$(11,252)$(15,543)
Reinsurance(55,341)(49,516)(41,907)(22,383)(49,762)(169,147)(158,275)
Mortgage(210,590)(127,290)(120,201)(105,619)(72,865)(563,700)(176,656)
Total $(270,137)$(177,977)$(166,577)$(129,408)$(125,617)$(744,099)$(350,474)
Impact on losses and loss adjustment expenses:
Insurance$(5,946)$(5,411)$(6,711)$(7,271)$(3,115)$(25,339)$(16,236)
Reinsurance(63,472)(49,194)(46,422)(32,473)(59,219)(191,561)(178,823)
Mortgage(207,732)(126,218)(118,093)(102,068)(70,419)(554,111)(169,558)
Total$(277,150)$(180,823)$(171,226)$(141,812)$(132,753)$(771,011)$(364,617)
Impact on acquisition expenses:
Insurance$1,740 $4,240 $2,242 $5,865 $125 $14,087 $693 
Reinsurance8,131 (322)4,515 10,090 9,457 22,414 20,548 
Mortgage(2,858)(1,072)(2,108)(3,551)(2,446)(9,589)(7,098)
Total$7,013 $2,846 $4,649 $12,404 $7,136 $26,912 $14,143 
Impact on combined ratio:
Insurance(0.3)%(0.1)%(0.4)%(0.1)%(0.3)%(0.2)%(0.4)%
Reinsurance(4.5)%(4.9)%(4.5)%(2.8)%(6.4)%(4.3)%(5.6)%
Mortgage(72.1)%(45.1)%(40.7)%(36.5)%(24.2)%(48.6)%(13.8)%
Total (9.8)%(7.2)%(7.2)%(6.1)%(6.0)%(7.7)%(4.5)%
Impact on loss ratio:
Insurance(0.5)%(0.5)%(0.6)%(0.7)%(0.3)%(0.6)%(0.4)%
Reinsurance(5.2)%(4.9)%(5.0)%(4.0)%(7.6)%(4.8)%(6.3)%
Mortgage(71.1)%(44.7)%(39.9)%(35.3)%(23.4)%(47.8)%(13.2)%
Total(10.0)%(7.3)%(7.4)%(6.7)%(6.4)%(8.0)%(4.7)%
Impact on acquisition expense ratio:
Insurance0.2 %0.4 %0.2 %0.6 %0.0 %0.4 %0.0 %
Reinsurance0.7 %0.0 %0.5 %1.2 %1.2 %0.5 %0.7 %
Mortgage(1.0)%(0.4)%(0.8)%(1.2)%(0.8)%(0.8)%(0.6)%
Total 0.2 %0.1 %0.2 %0.6 %0.4 %0.3 %0.2 %
Estimated net losses incurred from current accident year catastrophic events (2)
Insurance$34,485 $158,973 $16,360 $31,855 $20,312 $241,673 $204,620 
Reinsurance157 391,843 66,021 53,977 51,966 511,998 438,243 
Total$34,642 $550,816 $82,381 $85,832 $72,278 $753,671 $642,863 
Impact on combined ratio:
Insurance2.8 %13.4 %1.5 %3.1 %2.0 %5.3 %5.6 %
Reinsurance0.0 %39.1 %7.1 %6.7 %6.7 %12.9 %15.4 %
Total1.3 %22.3 %3.5 %4.0 %3.5 %7.8 %8.3 %
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Equals estimated losses from catastrophic events occurring in the current accident year (e.g. natural catastrophes, man-made events, pandemic events), net of reinsurance and reinstatement premiums. As regards the natural catastrophe estimates included within, amounts shown for the insurance segment are for named catastrophic events only, while amounts shown for the reinsurance segment include (i) named events with over $5 million of losses incurred by its Bermuda and Europe operations and (ii) all catastrophe losses incurred by its U.S. operations. Amounts not applicable for the mortgage segment.
23

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Investable Asset Summary and Investment Portfolio Metrics
The following table summarizes the Company’s investable assets and portfolio metrics:
(U.S. Dollars in thousands)December 31,September 30,June 30,March 31,December 31,
20222022202220222021
Investable assets:
Fixed maturities available for sale, at fair value$19,682,789 70.1 %$18,120,727 67.9 %$17,585,029 66.6 %$17,648,853 66.0 %$17,998,109 65.6 %
Fixed maturities—fair value option (1)554,120 2.0 %530,303 2.0 %525,451 2.0 %426,187 1.6 %416,698 1.5 %
Total fixed maturities20,236,909 72.1 %18,651,030 69.9 %18,110,480 68.6 %18,075,040 67.6 %18,414,807 67.1 %
Equity securities, at fair value859,969 3.1 %809,869 3.0 %772,689 2.9 %1,002,572 3.7 %1,804,170 6.6 %
Equity securities—fair value option (1)13,792 0.0 %13,905 0.1 %14,489 0.1 %21,300 0.1 %26,493 0.1 %
Total equity securities873,761 3.1 %823,774 3.1 %787,178 3.0 %1,023,872 3.8 %1,830,663 6.7 %
Other investments—fair value option (1)1,043,184 3.7 %1,005,929 3.8 %1,054,771 4.0 %1,226,808 4.6 %1,432,553 5.2 %
Investments accounted for using the equity method (2)3,774,310 13.4 %3,565,946 13.4 %3,496,341 13.2 %3,325,543 12.4 %3,077,611 11.2 %
Short-term investments available for sale, at fair value1,331,662 4.7 %1,940,857 7.3 %2,227,874 8.4 %2,332,624 8.7 %1,734,716 6.3 %
Short-term investments—fair value option (1)33,101 0.1 %28,614 0.1 %39,657 0.2 %12,371 0.0 %97,806 0.4 %
Total short-term investments1,364,763 4.9 %1,969,471 7.4 %2,267,531 8.6 %2,344,995 8.8 %1,832,522 6.7 %
Cash855,118 3.0 %813,583 3.0 %813,548 3.1 %812,917 3.0 %858,668 3.1 %
Securities transactions entered into but not settled at the balance sheet date(82,548)(0.3)%(147,727)(0.6)%(134,777)(0.5)%(59,819)(0.2)%(4,671)0.0 %
Total investable assets held by the Company$28,065,497 100.0 %$26,682,006 100.0 %$26,395,072 100.0 %$26,749,356 100.0 %$27,442,153 100.0 %
Average effective duration (in years)2.89 2.84 2.94 2.93 2.70  
Average S&P/Moody’s credit ratings (3) AA-/Aa3  AA/Aa2  AA-/Aa3  AA-/Aa3  AA-/Aa3  
(1)     Included in “other investments” on the balance sheet.
(2)    Changes in the carrying value of investment funds accounted for using the equity method are recorded as “equity in net income (loss) of investment funds accounted for using the equity method” rather than as                 an unrealized gain or loss component of accumulated other comprehensive income.
(3)    Average credit ratings on the Company’s investment portfolio on securities with ratings assigned by Standard & Poor’s (“S&P”) and Moody’s Investors Service (“Moody’s”).
24

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Net Investment Income, Yield and Total Return

The following table summarizes the Company’s net investment income, yield and total return (1):
(U.S. Dollars in thousands, except share data)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Composition of net investment income (1):       
Fixed maturities$157,696 $123,568 $105,342 $82,053 $74,846 $468,659 $307,536 
Equity securities (dividends)5,877 4,261 6,121 6,238 18,295 22,497 42,094 
Short-term investments13,520 9,304 4,120 2,575 3,325 29,519 6,799 
Other (2)17,943 8,644 7,984 12,076 12,712 46,647 68,411 
Gross investment income195,036 145,777 123,567 102,942 109,178 567,322 424,840 
Investment expenses(13,957)(17,137)(17,175)(22,506)(18,724)(70,775)(78,032)
Net investment income$181,079 $128,640 $106,392 $80,436 $90,454 $496,547 $346,808 
Per share$0.48 $0.34 $0.28 $0.21 $0.23 $1.31 $0.87 
Equity in net income (loss) of investment funds accounted for using the equity method40,351 (18,861)58,061 36,305 67,132 115,856 366,402 
Per share$0.11 $(0.05)$0.15 $0.09 $0.17 $0.31 $0.92 
Investment income yield, at amortized cost (1) (3):
Pre-tax2.80 %2.06 %1.76 %1.34 %1.46 %1.99 %1.41 %
After-tax2.41 %1.77 %1.49 %1.13 %1.27 %1.70 %1.24 %
Total return on investments (1) (4)2.60 %(3.01)%(3.02)%(3.07)%0.39 %(6.45)%1.90 %

(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(3)Presented on an annualized basis and excluding the impact of investments for which returns are not included within investment income, such as investments accounted for using the equity method and certain equities.
(4)Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (excluding changes in allowance for credit losses on non-investment related financial assets) and the change in unrealized gains or losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.

25

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Fixed Maturities
 
The following table summarizes the Company’s fixed maturities:
(U.S. Dollars in thousands)
Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net
Unrealized
Gains (Losses)
Allowance
for Credit Losses
Amortized
Cost
Fair Value /
Amortized Cost
Fair Value
% of Total
At December 31, 2022
Corporates$8,562,883 $55,468 $(781,353)$(725,885)$(29,950)$9,318,718 91.9 %42.3 %
U.S. government and government agencies5,166,591 14,891 (342,963)(328,072)— 5,494,663 94.0 %25.5 %
Municipal bonds419,166 3,149 (33,360)(30,211)(100)449,477 93.3 %2.1 %
Non-U.S. government securities2,317,134 8,870 (237,846)(228,976)(1,882)2,547,992 90.9 %11.5 %
Asset-backed securities1,928,469 761 (106,623)(105,862)(6,010)2,040,341 94.5 %9.5 %
Commercial mortgage-backed securities1,047,275 608 (57,667)(57,059)(3,415)1,107,749 94.5 %5.2 %
Residential mortgage-backed securities795,391 4,933 (86,587)(81,654)877,043 90.7 %3.9 %
Total$20,236,909 $88,680 $(1,646,399)$(1,557,719)$(41,355)$21,835,983 92.7 %100.0 %
At December 31, 2021
Corporates$6,941,879 $104,170 $(69,194)$34,976 $(2,037)$6,908,940 100.5 %37.7 %
U.S. government and government agencies4,772,764 10,076 (45,967)(35,891)— 4,808,655 99.3 %25.9 %
Municipal bonds404,666 18,724 (1,409)17,315 (2)387,353 104.5 %2.2 %
Non-U.S. government securities2,144,079 54,048 (34,749)19,299 (82)2,124,862 100.9 %11.6 %
Asset-backed securities2,696,458 6,540 (11,108)(4,568)(708)2,701,734 99.8 %14.6 %
Commercial mortgage-backed securities1,046,484 1,740 (3,117)(1,377)(6)1,047,867 99.9 %5.7 %
Residential mortgage-backed securities408,477 2,825 (5,410)(2,585)(48)411,110 99.4 %2.2 %
Total$18,414,807 $198,123 $(170,954)$27,169 $(2,883)$18,390,521 100.1 %100.0 %



26

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Credit Quality Distribution and Maturity Profile

The following table summarizes the credit quality distribution and maturity profile of the Company’s fixed maturities:
(U.S. Dollars in thousands)December 31,September 30,June 30,March 31,December 31,
20222022202220222021
Credit quality distribution of total fixed maturities (1):
U.S. government and government agencies (2)$5,829,279 28.8 %$5,746,853 30.8 %$4,892,483 27.0 %$4,981,102 27.6 %$5,063,191 27.5 %
AAA3,616,537 17.9 %3,344,746 17.9 %3,352,551 18.5 %3,171,975 17.5 %3,783,386 20.5 %
AA2,214,494 10.9 %2,030,730 10.9 %2,064,313 11.4 %2,222,236 12.3 %2,459,413 13.4 %
A3,993,471 19.7 %3,382,545 18.1 %3,464,240 19.1 %3,227,560 17.9 %2,943,594 16.0 %
BBB3,324,095 16.4 %3,001,304 16.1 %3,114,961 17.2 %3,181,195 17.6 %2,936,398 15.9 %
BB560,213 2.8 %532,162 2.9 %551,876 3.0 %564,762 3.1 %501,588 2.7 %
B377,462 1.9 %357,543 1.9 %367,275 2.0 %364,181 2.0 %371,747 2.0 %
Lower than B12,029 0.1 %12,417 0.1 %4,742 — %7,057 — %43,756 0.2 %
Not rated309,329 1.5 %242,730 1.3 %298,039 1.6 %354,972 2.0 %311,734 1.7 %
Total fixed maturities, at fair value$20,236,909 100.0 %$18,651,030 100.0 %$18,110,480 100.0 %$18,075,040 100.0 %$18,414,807 100.0 %
Maturity profile of total fixed maturities:
Due in one year or less$533,889 2.6 %$602,340 3.2 %$434,779 2.4 %$323,999 1.8 %$318,572 1.7 %
Due after one year through five years11,291,842 55.8 %10,285,415 55.1 %9,661,066 53.3 %9,756,481 54.0 %8,536,801 46.4 %
Due after five years through ten years4,155,691 20.5 %4,031,643 21.6 %4,261,397 23.5 %4,296,537 23.8 %4,807,858 26.1 %
Due after 10 years484,352 2.4 %312,381 1.7 %422,104 2.3 %535,301 3.0 %600,157 3.3 %
16,465,774 81.4 %15,231,779 81.7 %14,779,346 81.6 %14,912,318 82.5 %14,263,388 77.5 %
Residential mortgage-backed securities795,391 3.9 %763,371 4.1 %698,168 3.9 %416,138 2.3 %408,477 2.2 %
Commercial mortgage-backed securities1,047,275 5.2 %1,064,238 5.7 %1,023,088 5.6 %1,066,365 5.9 %1,046,484 5.7 %
Asset-backed securities1,928,469 9.5 %1,591,642 8.5 %1,609,878 8.9 %1,680,219 9.3 %2,696,458 14.6 %
Total fixed maturities, at fair value$20,236,909 100.0 %$18,651,030 100.0 %$18,110,480 100.0 %$18,075,040 100.0 %$18,414,807 100.0 %

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


27

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Analysis of Corporate Exposures

The following table summarizes the Company’s corporate bonds by sector:
(U.S. Dollars in thousands)December 31,September 30,June 30,March 31,December 31,
20222022202220222021
Sector:
Industrials$3,463,079 40.4 %$2,926,134 38.4 %$2,928,443 37.5 %$2,990,553 39.1 %$3,082,440 44.4 %
Financials4,246,061 49.6 %4,094,264 53.7 %4,191,142 53.7 %4,054,531 53.0 %3,397,199 48.9 %
Utilities545,843 6.4 %483,490 6.3 %559,150 7.2 %460,793 6.0 %363,468 5.2 %
Covered bonds4,224 0.0 %3,848 0.1 %1,720 0.0 %1,870 0.0 %4,511 0.1 %
All other (1)303,676 3.5 %112,710 1.5 %130,807 1.7 %145,934 1.9 %94,261 1.4 %
Total$8,562,883 100.0 %$7,620,446 100.0 %$7,811,262 100.0 %$7,653,681 100.0 %$6,941,879 100.0 %
Credit quality distribution (2):
AAA$177,808 2.1 %$162,906 2.1 %$160,327 2.1 %$144,047 1.9 %$122,008 1.8 %
AA767,130 9.0 %823,931 10.8 %784,206 10.0 %835,869 10.9 %1,006,360 14.5 %
A3,266,251 38.1 %2,741,063 36.0 %2,796,539 35.8 %2,549,426 33.3 %2,280,498 32.9 %
BBB3,095,503 36.2 %2,834,413 37.2 %2,931,983 37.5 %2,968,760 38.8 %2,453,904 35.3 %
BB541,221 6.3 %516,986 6.8 %522,904 6.7 %550,960 7.2 %463,072 6.7 %
B371,457 4.3 %351,360 4.6 %353,134 4.5 %360,902 4.7 %355,993 5.1 %
Lower than B11,585 0.1 %11,390 0.1 %4,260 0.1 %6,210 0.1 %30,878 0.4 %
Not rated331,928 3.9 %178,397 2.3 %257,909 3.3 %237,507 3.1 %229,166 3.3 %
Total$8,562,883 100.0 %$7,620,446 100.0 %$7,811,262 100.0 %$7,653,681 100.0 %$6,941,879 100.0 %

(1)    Includes sovereign securities, supranational securities and other.
(2)    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.

The following table summarizes the Company’s top ten exposures to fixed income corporate issuers by fair value at December 31, 2022:
(U.S. Dollars in thousands)Fair
Value
% of Asset Class% of Investable AssetsCredit Quality (1)
Issuer:
Bank of America Corporation$430,071 5.0 %1.5 %A-/A2
JPMorgan Chase & Co.296,901 3.5 %1.1 %A-/A1
Morgan Stanley290,477 3.4 %1.0 %A-/A1
Citigroup Inc.270,074 3.2 %1.0 %BBB+/A3
The Goldman Sachs Group, Inc.249,547 2.9 %0.9 %BBB+/A2
Wells Fargo & Company242,538 2.8 %0.9 %BBB+/A1
Blue Owl Capital Inc.164,098 1.9 %0.6 %BBB-/Baa3
Blackstone Inc.150,691 1.8 %0.5 %BBB-/Baa3
UBS Group AG130,244 1.5 %0.5 %A/Aa3
Spring Funding II Llc121,221 1.4 %0.4 %NA/NA
Total$2,345,862 27.4 %8.4 %
 
(1)    Average credit ratings assigned by S&P and Moody’s, respectively.

28

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Structured Securities

The following table provides the composition of the Company’s structured securities:
(U.S. Dollars in thousands)AgenciesAAAAAABBBNon-Investment GradeTotal
At December 31, 2022      
Residential mortgage-backed securities$645,008 $106,077 $27,881 $— $— $16,425 $795,391 
Commercial mortgage-backed securities17,680 681,578 151,774 32,488 81,556 82,199 1,047,275 
Asset-backed securities— 1,135,331 184,078 349,768 118,507 140,785 1,928,469 
Total$662,688 $1,922,986 $363,733 $382,256 $200,063 $239,409 $3,771,135 
At December 31, 2021
Residential mortgage-backed securities$268,229 $86,344 $40,502 $2,444 $$10,952 $408,477 
Commercial mortgage-backed securities22,198 710,692 141,065 6,990 67,555 97,984 1,046,484 
Asset-backed securities— 1,548,239 230,922 397,242 367,504 152,551 2,696,458 
Total$290,427 $2,345,275 $412,489 $406,676 $435,065 $261,487 $4,151,419 
29

Arch Capital Group Ltd. and Subsidiaries
Comments on Regulation G
Throughout this financial supplement, the Company presents its operations in the way it believes will be the most meaningful and useful to investors, analysts, rating agencies and others who use the Company’s financial information in evaluating the performance of the 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 investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares, 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 on the following page.
The Company believes that net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, the Company’s business performance. Although net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method and net foreign exchange gains or losses are an integral part of the Company’s 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 equity in net income or loss of investment funds 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 the Company’s 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 the Company’s 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 the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). This method of accounting is different from the way the Company accounts for its other fixed maturity securities and the timing of the recognition of equity in net income or loss of investment funds 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. The Company believes that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’s 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, the Company excludes net realized gains or losses, equity in net income or loss of investment funds 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 or loss available to Arch common shareholders.
The Company believes that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of the Company’s business since the Company evaluates the performance of and manages its business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, the Company believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. The Company also believes that this measure follows industry practice and, therefore, allows the users of the Company’s financial information to compare the Company’s performance with its industry peer group. The Company believes that the equity analysts and certain rating agencies that follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
In addition, through June 30, 2021, the Company’s presentation included the use of information prepared on a ‘core’ basis, which excluded amounts related to the ‘other’ segment (i.e., results of Somers). Information provided on a ‘core’ basis represent non-GAAP financial measures as defined in Regulation G. Pursuant to GAAP, Somers was considered a variable interest entity and the Company concluded that it was the primary beneficiary of Somers through June 30, 2021. As such, the Company consolidated the results of Somers in its consolidated financial statements. The Company’s presentation of information on a ‘core’ basis enabled investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzed performance. See ‘Segment Information’ for a further discussion of segment results and a reconciliation of core and consolidated results. In the 2020 fourth quarter, Arch, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch 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 & Company and 30% by certain funds managed by Warburg Pincus LLC. 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.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss on a ‘core’ basis (for periods prior to July 1, 2021). Such measures represent the pre-tax profitability of the Company’s 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 the Company’s individual underwriting operations. Underwriting income or loss does not incorporate items included in the Company’s corporate segment. While these measures are presented in the Segment Information footnote to the Company’s Consolidated Financial Statements, 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 ‘core’ basis (for periods prior to July 1, 2021), in accordance with Regulation G, is shown on pages 10 to 13.
In addition, the Company’s segment information includes the use of a combined ratio excluding catastrophic activity and prior year development, for the insurance and reinsurance segments, and a combined ratio excluding prior year development, for the mortgage segment. These ratios are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to the combined ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G are shown on the individual segment pages. The Company’s management utilizes the adjusted combined ratios excluding current accident year catastrophic events and favorable or adverse development in prior year loss reserves in its analysis of the underwriting performance of each of its underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (excluding changes in the allowance for credit losses on non-investment related financial assets) 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. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by the Company’s investment portfolio against benchmark returns during the periods presented.
30

Arch Capital Group Ltd. and Subsidiaries
Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income (loss) available to Arch common shareholders to after-tax operating income (loss) available to Arch common shareholders and related diluted per share results. Each line item reflects the impact of the Company’s ownership of Somers’ outstanding common equity through June 30, 2021:
(U.S. Dollars in thousands, except share data)Three Months EndedYear Ended
 December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Net income available to Arch common shareholders$849,504 $6,917 $394,160 $185,616 $613,081 $1,436,197 $2,093,405 
Net realized (gains) losses(79,932)183,674 266,579 292,414 (59,517)662,735 (307,466)
Equity in net (income) loss of investment funds accounted for using the equity method(40,351)18,861 (58,061)(36,305)(67,132)(115,856)(366,402)
Net foreign exchange (gains) losses81,201 (90,537)(87,797)(3,855)(3,221)(100,988)(42,743)
Transaction costs and other358 76 261 397 310 1,092 1,199 
Loss on redemption of preferred shares— — — — — — 15,101 
Income tax expense (benefit) (1)(4,858)(13,019)(8,646)(16,268)9,736 (42,791)41,836 
After-tax operating income available to Arch common shareholders$805,922 $105,972 $506,496 $421,999 $493,257 $1,840,389 $1,434,930 
Diluted per common share results:
Net income available to Arch common shareholders$2.26 $0.02 $1.04 $0.48 $1.58 $3.80 $5.23 
Net realized (gains) losses(0.22)0.48 0.70 0.76 (0.16)1.76 (0.77)
Equity in net (income) loss of investment funds accounted for using the equity method(0.11)0.05 (0.15)(0.09)(0.17)(0.31)(0.92)
Net foreign exchange (gains) losses0.22 (0.24)(0.23)(0.01)(0.01)(0.27)(0.11)
Transaction costs and other0.00 0.00 0.00 0.00 0.00 0.00 0.00 
Loss on redemption of preferred shares— — — — — — 0.04 
Income tax expense (benefit) (1)(0.01)(0.03)(0.02)(0.04)0.03 (0.11)0.11 
After-tax operating income available to Arch common shareholders$2.14 $0.28 $1.34 $1.10 $1.27 $4.87 $3.58 
Weighted average common shares and common share equivalents outstanding - diluted375,878,279 373,727,277 377,952,988 384,194,363 388,869,378 377,609,767 400,345,936 
Beginning common shareholders’ equity$10,965,110 $11,587,566 $12,089,589 $12,715,896 $12,557,526 $12,715,896 $12,325,886 
Ending common shareholders’ equity12,080,073 10,965,110 11,587,566 12,089,589 12,715,896 12,080,073 12,715,896 
Average common shareholders’ equity$11,522,592 $11,276,338 $11,838,578 $12,402,743 $12,636,711 $12,397,985 $12,520,891 
Annualized net income return on average common equity29.5 %0.2 %13.3 %6.0 %19.4 %11.6 %16.7 %
Annualized operating return on average common equity28.0 %3.8 %17.1 %13.6 %15.6 %14.8 %11.5 %

(1)Income tax expense on 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 (loss) of investment funds 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.


31

Arch Capital Group Ltd. and Subsidiaries
Operating Income and Effective Tax Rate Calculations
The following table provides a reconciliation of income (loss) before income taxes to after-tax operating income (loss) available to Arch common shareholders and an analysis of the effective tax rate on pre-tax operating income (loss) available to Arch common shareholders:
(U.S. Dollars in thousands)Three Months EndedYear Ended
December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Arch Operating Income Components (1):
Income (loss) before income taxes and income (loss) from operating affiliates$887,481 $(5,149)$421,628 $184,533 $617,440 $1,488,493 $2,013,916 
Net realized (gains) losses(79,932)183,673 266,579 292,414 (59,517)662,734 (299,207)
Equity in net (income) loss of investment funds accounted for using the equity method(40,351)18,861 (58,061)(36,305)(67,132)(115,856)(366,402)
Net foreign exchange (gains) losses81,224 (90,509)(87,775)(3,845)(3,163)(100,905)(42,854)
Transaction costs and other(2,778)(1,108)658 (170)(171)(3,398)(1,236)
Income (loss) from operating affiliates
36,226 8,507 4,640 24,518 40,641 73,891 264,693 
Pre-tax operating income881,870 114,275 547,669 461,145 528,098 2,004,959 1,568,910 
Arch share of ‘other’ segment operating income (loss) (2)— — — — — — 931 
Pre-tax operating income available to Arch (b)881,870 114,275 547,669 461,145 528,098 2,004,959 1,569,841 
Income tax (expense) benefit (a)(65,764)1,881 (30,989)(28,962)(24,657)(123,834)(86,568)
After-tax operating income available to Arch816,106 116,156 516,680 432,183 503,441 1,881,125 1,483,273 
Preferred dividends(10,184)(10,184)(10,184)(10,184)(10,184)(40,736)(48,343)
After-tax operating income available to Arch common shareholders$805,922 $105,972 $506,496 $421,999 $493,257 $1,840,389 $1,434,930 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b)7.5 %(1.6)%5.7 %6.3 %4.7 %6.2 %5.5 %

(1)    Line items are presented on a ‘core’ basis, excluding amounts related to the ‘other’ segment (i.e., results of Somers). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Balances in the ‘other’ segment and a calculation of Arch’s share of the ‘other’ segment operating income (loss) is as follows:

(U.S. Dollars in thousands)Three Months EndedYear Ended
December 31,September 30,June 30,March 31,December 31,December 31,December 31,
 2022202220222022202120222021
Balances in ‘other’ segment:
Underwriting income (loss)$— $— $— $— $— $— $(21,945)
Net investment income— — — — — — 42,310 
Interest expense— — — — — — (8,410)
Amortization of intangible assets— — — — — — (898)
Preferred dividends— — — — — — (1,953)
Pre-tax operating income (loss) available to common shareholders— — — — — — 9,104 
Arch ownership (3)n/an/an/an/an/an/an/a
Arch share of ‘Other’ segment operating income (loss) (4)$— $— $— $— $— $— $931 

(3) Effective July 1, 2021, Somers is wholly owned by Greysbridge and Greysbridge is owned 40% by the Company, accordingly, the Company no longer consolidates the results of Somers in its consolidated financial statements. See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(4) Excludes amounts attributable to net realized gains or losses and net foreign exchange gains or losses in the ‘other’ segment (see ‘Segment Information’).

32

Arch Capital Group Ltd. and Subsidiaries
Capital Structure and Share Repurchase Activity
The following table provides an analysis of the Company’s capital structure (1):
(U.S. Dollars in thousands, except share data)December 31,September 30,June 30,March 31,December 31,
20222022202220222021
Debt:
Arch senior notes, due May 1, 2034 ($300,000 principal, 7.35%)$300,000 $300,000 $300,000 $300,000 $300,000 
Arch-U.S. senior notes, due Nov. 1, 2043 ($500,000 principal, 5.144%) (2)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2026 ($500,000 principal, 4.011%) (3)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2046 ($450,000 principal, 5.031%) (3)450,000 450,000 450,000 450,000 450,000 
Arch senior notes, due June 30, 2050 ($1,000,000 principal, 3.635%)1,000,000 1,000,000 1,000,000 1,000,000 1,000,000 
Deferred debt costs on senior notes(24,590)(24,847)(25,104)(25,358)(25,606)
Revolving credit agreement borrowings, due December 17, 2024 (variable)— — — — — 
Total debt$2,725,410 $2,725,153 $2,724,896 $2,724,642 $2,724,394 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares (5.45%)330,000 330,000 330,000 330,000 330,000 
Series G non-cumulative preferred shares (4.55%)500,000 500,000 500,000 500,000 500,000 
Common shareholders’ equity (a)12,080,073 10,965,110 11,587,566 12,089,589 12,715,896 
Total shareholders’ equity available to Arch$12,910,073 $11,795,110 $12,417,566 $12,919,589 $13,545,896 
Total capital available to Arch$15,635,483 $14,520,263 $15,142,462 $15,644,231 $16,270,290 
Common shares outstanding, net of treasury shares (b)370,345,997 369,321,990 369,346,815 375,730,891 378,923,894 
Book value per common share (4) (a)/(b)$32.62 $29.69 $31.37 $32.18 $33.56 
Leverage ratios:
Senior notes/total capital available to Arch17.4 %18.8 %18.0 %17.4 %16.7 %
Revolving credit agreement borrowings/total capital available to Arch— %— %— %— %— %
Debt/total capital available to Arch17.4 %18.8 %18.0 %17.4 %16.7 %
Preferred/total capital available to Arch5.3 %5.7 %5.5 %5.3 %5.1 %
Debt and preferred/total capital available to Arch22.7 %24.5 %23.5 %22.7 %21.8 %
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Somers). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Issued by Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a wholly owned subsidiary of Arch, and fully and unconditionally guaranteed by Arch.
(3)    Issued by Arch Capital Finance LLC (“Arch Finance”), a wholly owned subsidiary of Arch U.S. MI Holdings Inc., and fully and unconditionally guaranteed by Arch.
(4)    Excludes the effects of stock options, restricted and performance stock units outstanding.

The following table provides the impact of share repurchases under the Company’s share repurchase program:
(U.S. Dollars in thousands except share data)Three Months EndedCumulative
 December 31,September 30,June 30,March 31,December 31,December 31,
 202220222022202220212022
Effect of share repurchases:
Aggregate cost of shares repurchased$— $10,147 $320,688 $254,988 $362,097 $5,871,883 
Shares repurchased— 236,194 7,090,447 5,564,764 8,668,100 433,570,317 
Average price per share repurchased$— $42.96 $45.23 $45.82 $41.77 $13.54 
Remaining share repurchase authorization (1)$1,000,000 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.
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