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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549
 
FORM 8-K
 
Current Report Pursuant to Section 13 or 15(d)
of the Securities Exchange Act of 1934
 
February 13, 2023
Date of Report (Date of earliest event reported) 
Arch Capital Group Ltd.
(Exact name of registrant as specified in its charter)
Bermuda   001-16209   98-0374481
(State or other
jurisdiction of
incorporation or
organization)
  (Commission File Number)   (I.R.S. Employer
Identification No.)
 
Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda
(Address of principal executive offices) (Zip Code)
 
Registrant’s telephone number, including area code:
(441) 278-9250
 
N/A
(Former name or former address, if changed since last report)
 
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (see General Instruction A.2. below):
 
☐    Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
 
☐    Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
 
☐    Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
 
☐    Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))


Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each class Trading Symbol (s) Name of each exchange on which registered
Common shares, $0.0011 par value per share ACGL NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLO
NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share ACGLN NASDAQ Stock Market
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (§230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (§240.12b-2 of this chapter).

    Emerging growth company     ☐

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o ITEM 2.02 Results of Operations and Financial Condition.



 
On February 13, 2023, Arch Capital Group Ltd. issued a press release reporting its earnings and the availability of its financial supplement for the quarter ended December 31, 2022. The press release and financial supplement are attached to this Current Report on Form 8-K as Exhibit 99.1 and Exhibit 99.2, respectively, and are incorporated herein by reference.
 
The information in this Current Report on Form 8-K, including the information set forth in Exhibit 99.1 and Exhibit 99.2, shall not be deemed “filed” for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), or incorporated by reference in any filing under the Securities Act of 1933, as amended, or the Exchange Act, except as shall be expressly set forth by specific reference in such a filing.

ITEM 9.01    Financial Statements and Exhibits.

(d):     The following exhibits are being filed herewith.
EXHIBIT NO.   DESCRIPTION
99.1  
99.2  
104 Cover Page Interactive Data File (embedded within the Inline XBRL document)
2


SIGNATURES
 
Pursuant to the requirements of the Securities Exchange Act of 1934, as amended, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.
 
  ARCH CAPITAL GROUP LTD.
     
     
Date: February 13, 2023 By: /s/ François Morin
    Name: François Morin
    Title: Executive Vice President, Chief Financial Officer and Treasurer


3
EX-99.1 2 ex-991release123122.htm EX-99.1 Document

EXHIBIT 99.1
archlogorgbsolida38.jpg
PRESS RELEASE Arch Capital Group Ltd.
NASDAQ Symbol: ACGL Waterloo House, Ground Floor
For Immediate Release 100 Pitts Bay Road
February 13, 2023
Pembroke HM 08 Bermuda


ARCH CAPITAL GROUP LTD. REPORTS 2022 FOURTH QUARTER RESULTS

PEMBROKE, BERMUDA--(BUSINESS WIRE)--Arch Capital Group Ltd. (NASDAQ: ACGL; “Arch” or “the Company”) announces its 2022 fourth quarter results. The results included:
•Net income available to Arch common shareholders of $849.5 million, or $2.26 per share, a 29.5% annualized net income return on average common equity, compared to $613.1 million, or $1.58 per share, for the 2021 fourth quarter;
•After-tax operating income available to Arch common shareholders(1) of $805.9 million, or $2.14 per share, a 28.0% annualized operating return on average common equity, compared to $493.3 million, or $1.27 per share, for the 2021 fourth quarter;
•Pre-tax current accident year catastrophic losses for the Company’s insurance and reinsurance segments, net of reinsurance and reinstatement premiums (1), of $34.6 million;
•Combined ratio excluding catastrophic activity and prior year development(1) of 82.0%, compared to 80.1% for the 2021 fourth quarter;
•Favorable development in prior year loss reserves, net of related adjustments(1) of $270.1 million;
•Book value per common share of $32.62 at December 31, 2022, a 9.9% increase from September 30, 2022.
All earnings per share amounts discussed in this release are on a diluted basis. The following table summarizes the Company’s underwriting results:
(U.S. Dollars in thousands) Three Months Ended December 31,
2022 2021 % Change
Gross premiums written $ 3,795,262  $ 2,861,575  32.6 
Net premiums written 3,034,636  2,034,427  49.2 
Net premiums earned 2,760,919  2,083,630  32.5 
Underwriting income 734,264  471,611  55.7 
Underwriting Ratios % Point Change
Loss ratio 45.0  % 47.8  % (2.8)
Underwriting expense ratio 28.5  % 29.8  % (1.3)
Combined ratio 73.5  % 77.6  % (4.1)
Combined ratio excluding catastrophic activity and prior year development (1)
82.0  % 80.1  % 1.9 
(1)    Presentation represents a “non-GAAP” financial measure as defined in Regulation G. See ‘Comments on Regulation G’ for further details.
1


The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders and related diluted per share results (see ‘Comments on Regulation G’ for a discussion of non-GAAP financial measures):
(U.S. Dollars in thousands, except share data) Three Months Ended
December 31,
2022 2021
Net income available to Arch common shareholders $ 849,504  $ 613,081 
Net realized (gains) losses (79,932) (59,517)
Equity in net (income) loss of investment funds accounted for using the equity method (40,351) (67,132)
Net foreign exchange (gains) losses 81,201  (3,221)
Transaction costs and other 358  310 
Income tax expense (benefit) (1) (4,858) 9,736 
After-tax operating income available to Arch common shareholders $ 805,922  $ 493,257 
Diluted per common share results:
Net income available to Arch common shareholders $ 2.26  $ 1.58 
Net realized (gains) losses (0.22) (0.16)
Equity in net (income) loss of investment funds accounted for using the equity method (0.11) (0.17)
Net foreign exchange (gains) losses 0.22  (0.01)
Transaction costs and other 0.00  0.00 
Income tax expense (benefit) (1) (0.01) 0.03 
After-tax operating income available to Arch common shareholders $ 2.14  $ 1.27 
Weighted average common shares and common share equivalents outstanding — diluted 375,878,279  388,869,378 
Beginning common shareholders’ equity $ 10,965,110  $ 12,557,526 
Ending common shareholders’ equity 12,080,073  12,715,896 
Average common shareholders’ equity $ 11,522,592  $ 12,636,711 
Annualized net income return on average common equity 29.5  % 19.4  %
Annualized operating return on average common equity 28.0  % 15.6  %
(1)    Income tax expense (benefit) on net realized gains or losses, equity in net income (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 reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

2


Segment Information
The following section provides analysis on the Company’s 2022 fourth quarter performance by operating segment. For additional details regarding the Company’s operating segments, please refer to the Company’s Financial Supplement dated December 31, 2022. The Company’s segment information includes the use of underwriting income (loss) and a combined ratio excluding catastrophic activity and prior year development. Such items are non-GAAP financial measures (see ‘Comments on Regulation G’ for further details).
Insurance Segment
Three Months Ended December 31,
(U.S. Dollars in thousands) 2022 2021 % Change
Gross premiums written $ 1,644,066  $ 1,486,362  10.6 
Net premiums written 1,216,730  1,035,986  17.4 
Net premiums earned 1,243,587  1,002,897  24.0 
Underwriting income $ 97,684  $ 70,545  38.5 
Underwriting Ratios % Point Change
Loss ratio 58.7  % 59.2  % (0.5)
Underwriting expense ratio 33.4  % 33.7  % (0.3)
Combined ratio 92.1  % 92.9  % (0.8)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.8  % 2.0  % 0.8 
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.3) % (0.3) % — 
Combined ratio excluding catastrophic activity and prior year development 89.6  % 91.2  % (1.6)
Gross premiums written by the insurance segment in the 2022 fourth quarter were 10.6% higher than in the 2021 fourth quarter while net premiums written were 17.4% higher than in the 2021 fourth quarter. The higher level of net premiums written reflected increases in most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts. In addition, the insurance segment is retaining more business due to ongoing changes in its reinsurance programs, as well as higher levels of growth in lines with a higher retention rate. Net premiums earned in the 2022 fourth quarter were 24.0% higher than in the 2021 fourth quarter, and reflect changes in net premiums written over the previous five quarters.
The 2022 fourth quarter loss ratio reflected 2.8 points of current year catastrophic activity, spread across a series of global events that occurred in 2022, compared to 2.0 points of catastrophic activity in the 2021 fourth quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 0.5 points in the 2022 fourth quarter, compared to 0.3 in the 2021 fourth quarter. The improvement in the 2022 fourth quarter loss ratio also reflected the impact of rate increases and changes in mix of business.
The underwriting expense ratio was 33.4% in the 2022 fourth quarter, compared to 33.7% in the 2021 fourth quarter, with the decrease primarily due to growth in net premiums earned.
3


Reinsurance Segment
Three Months Ended December 31,
(U.S. Dollars in thousands) 2022 2021 % Change
Gross premiums written $ 1,797,037  $ 1,013,090  77.4 
Net premiums written 1,543,382  709,141  117.6 
Net premiums earned 1,225,208  779,817  57.1 
Other underwriting income (loss) (943) 521  (281.0)
Underwriting income (loss) $ 263,046  $ 132,510  98.5 
Underwriting Ratios % Point Change
Loss ratio 52.9  % 55.2  % (2.3)
Underwriting expense ratio 25.5  % 27.9  % (2.4)
Combined ratio 78.4  % 83.1  % (4.7)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 0.0  % 6.7  % (6.7)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (4.5) % (6.4) % 1.9 
Combined ratio excluding catastrophic activity and prior year development 82.9  % 82.8  % 0.1 
Gross premiums written by the reinsurance segment in the 2022 fourth quarter were 77.4% higher than in the 2021 fourth quarter, while net premiums written were 117.6% higher than in the 2021 fourth quarter. The comparison of gross and net premiums written in the 2022 fourth quarter were affected by a few non-recurring transactions, primarily impacting the other specialty line of business. Absent these items, gross and net premiums written would have been higher than in the 2021 fourth quarter by 47.9% and 61.0%, respectively. The growth in net premiums written reflected increases in most lines of business, primarily related to rate increases, new business opportunities and growth in existing accounts. Excluding the transactions mentioned above, net premiums earned in the 2022 fourth quarter were 38.1% higher than in the 2021 fourth quarter, and reflect changes in net premiums written over the previous five quarters.
The 2022 fourth quarter loss ratio reflected minimal current year catastrophic activity, compared to 7.1 points of catastrophic activity in the 2021 fourth quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 5.2 points in the 2022 fourth quarter, compared to 7.6 points in the 2021 fourth quarter. In addition, the 2022 fourth quarter loss ratio reflected the impact of rate increases and changes in mix of business. Absent the non-recurring transactions noted above, the 2022 fourth quarter loss ratio would have been 5.0 points lower than reported.
The underwriting expense ratio was 25.5% in the 2022 fourth quarter, compared to 27.9% in the 2021 fourth quarter. Absent the non-recurring transactions noted above, the 2022 fourth quarter underwriting expense ratio would have been 2.0 points higher than reported.
4


Mortgage Segment
Three Months Ended December 31,
(U.S. Dollars in thousands) 2022 2021 % Change
Gross premiums written $ 355,827  $ 364,134  (2.3)
Net premiums written 274,524  289,300  (5.1)
Net premiums earned 292,124  300,916  (2.9)
Other underwriting income 2,226  2,639  (15.6)
Underwriting income $ 373,534  $ 268,556  39.1 
Underwriting Ratios % Point Change
Loss ratio (46.9) % (9.4) % (37.5)
Underwriting expense ratio 19.8  % 21.1  % (1.3)
Combined ratio (27.1) % 11.7  % (38.8)
Prior year development:
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (72.1) % (24.2) % (47.9)
Combined ratio excluding prior year development 45.0  % 35.9  % 9.1 
Gross premiums written by the mortgage segment in the 2022 fourth quarter were 2.3% lower than in the 2021 fourth quarter, while net premiums written were 5.1% lower. The decrease in gross premiums written primarily reflected lower origination volume in the Australian market and lower U.S. primary mortgage insurance single premium business, which was partially offset by a higher volume of credit risk transfer contracts. Net premiums earned in the 2022 fourth quarter were 2.9% lower than in the 2021 fourth quarter, primarily due to a reduction in earnings from single premium policy terminations and an increase in ceded premiums earned, partially offset by growth in credit risk transfer business.
Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 71.1 points, primarily related to reserves on loans becoming delinquent after the onset of the COVID-19 pandemic, compared to 23.4 points in the 2021 fourth quarter. The percentage of loans in default on U.S. primary mortgage insurance business was 1.77% at December 31, 2022, compared to 1.73% at September 30, 2022.
The underwriting expense ratio was 19.8% in the 2022 fourth quarter, compared to 21.1% in the 2021 fourth quarter, with the decrease reflecting lower operating expenses due in part to profit commissions on business ceded related to favorable development of prior year loss reserves in the U.S.

5


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), 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.
Investment returns were as follows:
(U.S. Dollars in thousands, except per share data) Three Months Ended
December 31, September 30, December 31,
2022 2022 2021
Pre-tax net investment income $ 181,079  $ 128,640  $ 90,454 
Per diluted share $ 0.48  $ 0.34  $ 0.23 
Pre-tax investment income yield, at amortized cost (1) 2.80  % 2.06  % 1.46  %
Total return on investments (2) 2.60  % (3.01) % 0.39  %
(1)    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.
(2)    Presentation represents a “non-GAAP” financial measure as defined in Regulation G. See ‘Comments on Regulation G’ for further details.
The growth in net investment income in the 2022 fourth quarter compared to the 2022 third quarter and 2021 fourth quarter primarily reflects the effects of higher interest rates available in the market. Net realized gains or losses reflect sales of investments along with the impact of financial market movements on the Company’s investment portfolio, including realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets. On a pre-tax basis, net realized gains for the 2022 fourth quarter were $79.9 million, a substantial portion of which represented unrealized changes in the fair value of equity securities and assets accounted for using the fair value option.
On a pre-tax basis, net foreign exchange losses for the 2022 fourth quarter were $81.2 million, compared to net foreign exchange gains for the 2021 fourth quarter of $3.2 million. For both periods, such amounts were primarily unrealized and resulted from the effects of revaluing the Company’s net insurance liabilities required to be settled in foreign currencies at each balance sheet date. Changes in the value of available-for-sale investments held in foreign currencies due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders’ equity and are not included in the consolidated statements of income. Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, the Company may elect to over or underweight one or more currencies from time to time, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity.
The Company’s effective tax rate on income before income taxes was 6.6% for the 2022 fourth quarter and 5.1% for the year ended December 31, 2022, compared to 5.2% for the 2021 fourth quarter and 5.6% for the year ended December 31, 2021. The Company’s effective tax rate on pre-tax operating income available to Arch common shareholders was 7.5% for the 2022 fourth quarter, compared to 4.7% for the 2021 fourth quarter. The Company’s effective tax rate may fluctuate from period to period based upon the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. The 2022 fourth quarter included a net discrete income tax benefit of $4.1 million, which decreased the effective tax rate on operating income available to Arch common shareholders by 0.5%, compared to a net discrete income tax benefit of $10.6 million for the 2021 fourth quarter, which decreased the effective tax rate on operating income available to Arch common shareholders by 2.0%. The discrete tax items in both periods primarily related to valuation allowance adjustments and prior year true-ups of non-U.S. deferred tax assets.
Income from operating affiliates for the 2022 fourth quarter was $36.2 million, or $0.10 per share, compared to $40.6 million, or $0.10 per share, for the 2021 fourth quarter, and primarily reflects amounts related to the Company’s investment in Somers Group Holdings Ltd. (“Somers”) and Coface SA.
6


Conference Call
The Company will hold a conference call for investors and analysts at 11:00 a.m. Eastern Time on February 14, 2023. A live webcast of this call will be available via the Investors section of the Company’s website at http://www.archgroup.com/investors. A recording of the webcast will be available in the Investors section of the Company’s website approximately two hours after the event concludes and will be archived on the site for one year.
Please refer to the Company’s Financial Supplement dated December 31, 2022, which is available via the Investors section of the Company’s website at http://www.archgroup.com/investors. The Financial Supplement provides additional detail regarding the financial performance of the Company. From time to time, the Company posts additional financial information and presentations to its website, including information with respect to its subsidiaries. Investors and other recipients of this information are encouraged to check the Company’s website regularly for additional information regarding the Company.
Arch Capital Group Ltd., is a publicly listed Bermuda exempted company with approximately $15.6 billion in capital at December 31, 2022. Arch, which is part of the S&P 500 index, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
Comments on Regulation G
Throughout this release, 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 and that investors and such other persons benefit from having a consistent basis for comparison between quarters and for comparison with other companies within the industry. These measures may not, however, be comparable to similarly titled measures used by companies outside of the insurance industry. Investors are cautioned not to place undue reliance on these non-GAAP financial measures in assessing the Company’s overall financial performance.
This presentation includes the use of “after-tax operating income or loss 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 page 2 of this release.
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 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.
7


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 and transaction costs and other 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.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss. Such measures represent the pre-tax profitability of its 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, in accordance with Regulation G, is shown on the following pages.
Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income, income from operating affiliates and other corporate segment related items are not allocated to each underwriting segment.
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 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.
8


The following tables summarize the Company’s results by segment for the 2022 fourth quarter and 2021 fourth quarter and a reconciliation of underwriting income or loss to income or loss before income taxes and net income or loss available to Arch common shareholders:
(U.S. Dollars in thousands) Three Months Ended
December 31, 2022
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,644,066  $ 1,797,037  $ 355,827  $ 3,795,262 
Premiums ceded (427,336) (253,655) (81,303) (760,626)
Net premiums written 1,216,730  1,543,382  274,524  3,034,636 
Change in unearned premiums 26,857  (318,174) 17,600  (273,717)
Net premiums earned 1,243,587  1,225,208  292,124  2,760,919 
Other underwriting income (loss) —  (943) 2,226  1,283 
Losses and loss adjustment expenses (729,784) (648,654) 137,108  (1,241,330)
Acquisition expenses (244,059) (243,640) (12,816) (500,515)
Other operating expenses (172,060) (68,925) (45,108) (286,093)
Underwriting income (loss) $ 97,684  $ 263,046  $ 373,534  734,264 
Net investment income 181,079 
Net realized gains (losses) 79,932 
Equity in net income (loss) of investment funds accounted for using the equity method 40,351 
Other income (loss) 8,321 
Corporate expenses (2) (17,462)
Transaction costs and other (2) (358)
Amortization of intangible assets (25,722)
Interest expense (31,700)
Net foreign exchange gains (losses) (81,224)
Income (loss) before income taxes and income (loss) from operating affiliates 887,481 
Income tax expense (60,919)
Income (loss) from operating affiliates 36,226 
Net income (loss) 862,788 
Dividends attributable to redeemable noncontrolling interests (3,100)
Net income (loss) available to Arch 859,688 
Preferred dividends (10,184)
Net income (loss) available to Arch common shareholders $ 849,504 
Underwriting Ratios
Loss ratio 58.7  % 52.9  % (46.9) % 45.0  %
Acquisition expense ratio 19.6  % 19.9  % 4.4  % 18.1  %
Other operating expense ratio 13.8  % 5.6  % 15.4  % 10.4  %
Combined ratio 92.1  % 78.4  % (27.1) % 73.5  %
Net premiums written to gross premiums written 74.0  % 85.9  % 77.2  % 80.0  %

(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.
9


(U.S. Dollars in thousands) Three Months Ended
December 31, 2021
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,486,362  $ 1,013,090  $ 364,134  $ 2,861,575 
Premiums ceded (450,376) (303,949) (74,834) (827,148)
Net premiums written 1,035,986  709,141  289,300  2,034,427 
Change in unearned premiums (33,089) 70,676  11,616  49,203 
Net premiums earned 1,002,897  779,817  300,916  2,083,630 
Other underwriting income (loss) —  521  2,639  3,160 
Losses and loss adjustment expenses (594,108) (430,180) 28,435  (995,853)
Acquisition expenses (188,724) (155,694) (13,121) (357,539)
Other operating expenses (149,520) (61,954) (50,313) (261,787)
Underwriting income (loss) $ 70,545  $ 132,510  $ 268,556  471,611 
Net investment income 90,454 
Net realized gains (losses) 59,517 
Equity in net income (loss) of investment funds accounted for using the equity method 67,132 
Other income (loss) 9,093 
Corporate expenses (2) (17,840)
Transaction costs and other (2) (310)
Amortization of intangible assets (33,132)
Interest expense (32,248)
Net foreign exchange gains (losses) 3,163 
Income (loss) before income taxes and income (loss) from operating affiliates 617,440 
Income tax expense (34,406)
Income (loss) from operating affiliates 40,641 
Net income (loss) 623,675 
Dividends attributable to redeemable noncontrolling interests (410)
Net income (loss) available to Arch 623,265 
Preferred dividends (10,184)
Net income (loss) available to Arch common shareholders $ 613,081 
Underwriting Ratios
Loss ratio 59.2  % 55.2  % (9.4) % 47.8  %
Acquisition expense ratio 18.8  % 20.0  % 4.4  % 17.2  %
Other operating expense ratio 14.9  % 7.9  % 16.7  % 12.6  %
Combined ratio 92.9  % 83.1  % 11.7  % 77.6  %
Net premiums written to gross premiums written 69.7  % 70.0  % 79.4  % 71.1  %
 
(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


Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of the Company 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, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature 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. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this release and in the Company’s periodic reports filed with the Securities and Exchange Commission (the “SEC”), and include:
•the Company’s ability to successfully implement its business strategy during “soft” as well as “hard” markets;
•acceptance of the Company’s business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and its insureds and reinsureds;
•the Company’s ability to consummate acquisitions and integrate any businesses it has acquired or may acquire into its existing operations;
•the Company’s ability to maintain or improve its ratings, which may be affected by its ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
•general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets in which the Company operates;
•competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms or other factors;
•developments in the world’s financial and capital markets and the Company’s access to such markets;
•the Company’s ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support its current and new business;
•the loss and addition of key personnel;
•material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
•accuracy of those estimates and judgments utilized in the preparation of the Company’s financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting;
•greater than expected loss ratios on business written by the Company and adverse development on claim and/or claim expense liabilities related to business written by its insurance and reinsurance subsidiaries;
•the adequacy of the Company’s loss reserves;
•severity and/or frequency of losses;
•greater frequency or severity of unpredictable natural and man-made catastrophic events;
•claims resulting from natural or man-made catastrophic events or severe economic events in the Company’s insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in the Company’s results of operations;
•the effect of climate change on the Company’s business;
•the effect of contagious diseases (including COVID-19) on the Company’s business;
•acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
•availability to the Company of reinsurance to manage its gross and net exposures and the cost of such reinsurance;
•the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to the Company;
11


•the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by the Company;
•the Company’s investment performance, including legislative or regulatory developments that may adversely affect the fair value of the Company’s investments;
•changes in general economic conditions, including new or continued sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect the Company’s business, financial condition and results of operations;
•uncertainty relating to determination of the London Inter-bank Offered Rate (“LIBOR”) and the phasing out and replacement of LIBOR with alternative benchmark rates;
•the volatility of the Company’s shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of the Company’s projected liabilities in foreign currencies with investments in the same currencies;
•changes in accounting principles or policies or in the Company’s application of such accounting principles or policies;
•changes in the political environment of certain countries in which the Company operates, underwrites business or invests;
•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;
•statutory or regulatory developments, including as to tax policy matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to the Company, its subsidiaries, brokers or customers, including new guidance implementing the Tax Cuts and Jobs Act of 2017 and the possible implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiative; and
•the other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of the Company’s Annual Report on Form 10-K, as well as the other factors set forth in the Company’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.

All subsequent written and oral forward-looking statements attributable to the Company or persons acting on its behalf are expressly qualified in their entirety by these cautionary statements. 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. 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.
Contacts
Arch Capital Group Ltd. Investor Relations
François Morin: (441) 278-9250 Donald Watson: (914) 872-3616; dwatson@archgroup.com
Source - Arch Capital Group Ltd.
arch-corporate

12
EX-99.2 3 ex-992supplement123122.htm EX-99.2 Document

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) 278-9250 Donald 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 Ended Year Ended
December 31, December 31,
2022 2021 Change 2022 2021 Change
Underwriting results:
Gross premiums written $ 3,795,262  $ 2,861,575  32.6  % $ 15,326,447  $ 12,463,788  23.0  %
Net premiums written 3,034,636  2,034,427  49.2  % 11,077,189  8,663,635  27.9  %
Net premiums earned 2,760,919  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 ratio 45.0  % 47.8  % (2.8) 51.9  % 55.8  % (3.9)
Acquisition expense ratio 18.1  % 17.2  % 0.9  18.0  % 16.0  % 2.0 
Other operating expense ratio 10.4  % 12.6  % (2.2) 11.7  % 12.5  % (0.8)
Combined ratio 73.5  % 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 — diluted 375,878,279  388,869,378  (3.3) % 377,609,767  400,345,936  (5.7) %
Financial measures:            
Change in book value per common share during period 9.9  % 3.5  % 6.4  (2.8) % 10.7  % (13.5)
Annualized net income return on average common equity 29.5  % 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 income 181,079  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 income 1,283  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 method 40,351  (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 revenues 3,071,885  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 affiliates 887,481  (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 affiliates 36,226  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 Arch 859,688  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
Basic 365,902,520  365,190,527  369,241,193  374,243,812  379,431,442  368,612,197  391,748,715 
Diluted 375,878,279  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,
2022 2022 2022 2022 2021
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 value 1,331,662  1,940,857  2,227,874  2,332,624  1,734,716 
Equity securities, at fair value 859,969  809,869  772,689  1,002,572  1,804,170 
Other investments 1,644,197  1,578,751  1,634,368  1,686,666  1,973,550 
Investments accounted for using the equity method 3,774,310  3,565,946  3,496,341  3,325,543  3,077,611 
Total investments 27,292,927  26,016,150  25,716,301  25,996,258  26,588,156 
Cash 855,118  813,583  813,548  812,917  858,668 
Accrued investment income 158,680  116,263  116,102  82,607  85,453 
Investment in operating affiliates 964,604  891,212  967,603  1,144,255  1,135,655 
Premiums receivable 3,624,777  3,579,380  3,634,182  3,223,504  2,633,280 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 6,563,654  6,356,456  5,938,511  5,941,000  5,880,735 
Contractholder receivables 1,731,293  1,735,730  1,758,018  1,810,199  1,828,691 
Ceded unearned premiums 1,799,197  2,115,539  2,123,915  1,951,960  1,729,455 
Deferred acquisition costs 1,263,870  1,122,711  1,069,845  1,001,866  901,841 
Receivable for securities sold 12,493  27,042  157,329  116,633  60,179 
Goodwill and intangible assets 804,289  806,655  868,014  926,427  944,983 
Other assets 2,919,605  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 premiums 7,337,002  7,271,279  7,145,297  6,737,779  6,011,942 
Reinsurance balances payable 1,529,919  1,669,592  1,634,700  1,510,906  1,583,253 
Contractholder payables 1,733,984  1,738,089  1,761,023  1,813,930  1,832,127 
Collateral held for insured obligations 249,238  254,720  251,063  244,502  242,352 
Senior notes 2,725,410  2,725,153  2,724,896  2,724,642  2,724,394 
Payable for securities purchased 95,041  174,769  292,106  176,452  64,850 
Other liabilities 1,367,068  1,411,193  1,289,760  1,431,271  1,329,742 
Total liabilities 35,069,605  34,533,086  33,293,169  32,748,589  31,545,816 
Redeemable noncontrolling interests 10,829  8,908  8,459  9,763  9,233 
Shareholders’ equity          
Non-cumulative preferred shares 830,000  830,000  830,000  830,000  830,000 
Common shares 654  652  652  651  648 
Additional paid-in capital 2,211,444  2,186,599  2,170,661  2,134,241  2,085,075 
Retained earnings 15,892,065  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’ equity 12,910,073  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 shares 370,345,997  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 Ended Year Ended
December 31, September 30, June 30, March 31, December 31, December 31, December 31,
2022 2022 2022 2022 2021 2022 2021
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 period 652  652  651  648  648  648  643 
Common shares issued, net —  — 
Balance at end of period 654  652  652  651  648  654  648 
Additional paid-in capital
Balance at beginning of period 2,186,599  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 compensation 7,597  13,518  21,137  45,368  14,774  87,620  86,053 
All other 17,248  2,420  15,283  3,798  8,395  38,749  20,306 
Balance at end of period 2,211,444  2,186,599  2,170,661  2,134,241  2,085,075  2,211,444  2,085,075 
Retained earnings
Balance at beginning of period 15,042,561  15,035,644  14,641,484  14,455,868  13,842,787  14,455,868  12,362,463 
Net income 862,788  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 period 15,892,065  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 investments 160,696  (563,174) (540,295) (582,077) (103,391) (1,524,850) (487,809)
Change in foreign currency translation adjustments 84,961  (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 Ended Year Ended
December 31, September 30, June 30, March 31, December 31, December 31, December 31,
2022 2022 2022 2022 2021 2022 2021
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 loss 46,752  62,590  55,235  (11,420) (91,400) 153,157  (464,050)
Amortization of intangible assets 25,722  26,104  27,207  27,167  33,132  106,200  82,955 
Share-based compensation 7,599  13,511  21,139  45,379  14,791  87,628  87,094 
Changes in:
Reserve for losses and loss adjustment expenses, net 335,931  918,602  358,528  275,954  213,979  1,889,015  1,762,190 
Unearned premiums, net 273,717  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 activities 981,510  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 investments 1,853,586  1,911,450  2,025,616  6,053,352  3,509,653  11,844,004  33,577,445 
Proceeds from sales of equity securities 14,308  49,596  389,956  1,100,256  222,512  1,554,116  918,145 
Proceeds from sales, redemptions and maturities of other investments 145,393  212,346  292,992  570,341  277,614  1,221,072  1,765,533 
Proceeds from redemptions and maturities of fixed maturity investments 136,655  133,791  203,320  240,753  394,343  714,519  1,628,755 
Net settlements of derivative instruments 37,529  (61,509) (42,328) (2,510) 27,758  (68,818) (40,072)
Net (purchases) sales of short-term investments 619,229  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, net 9,523  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 cash 30,677  (36,776) (38,866) (3,924) (24) (48,889) (34,047)
Increase (decrease) in cash and restricted cash 15,004  30,093  (87,887) 1,347  (234,138) (41,443) 24,227 
Cash and restricted cash, beginning of period 1,258,324  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
  Insurance Reinsurance Mortgage Sub-total (Core) Other Total
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 written 1,216,730  1,543,382  274,524  3,034,636  —  3,034,636 
Change in unearned premiums 26,857  (318,174) 17,600  (273,717) —  (273,717)
Net premiums earned 1,243,587  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 income 181,079  —  181,079 
Net realized gains (losses) 79,932  —  79,932 
Equity in net income (loss) of investment funds accounted for using the equity method 40,351  —  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 affiliates 887,481  —  887,481 
Income tax (expense) benefit (60,919) —  (60,919)
Income (loss) from operating affiliates 36,226  —  36,226 
Net income (loss) 862,788  —  862,788 
Amounts attributable to redeemable noncontrolling interests (3,100) —  (3,100)
Net income (loss) available to Arch 859,688  —  859,688 
Preferred dividends (10,184) —  (10,184)
Net income (loss) available to Arch common shareholders $ 849,504  $ —  $ 849,504 
Underwriting Ratios
Loss ratio 58.7  % 52.9  % (46.9) % 45.0  % —  % 45.0  %
Acquisition expense ratio 19.6  % 19.9  % 4.4  % 18.1  % —  % 18.1  %
Other operating expense ratio 13.8  % 5.6  % 15.4  % 10.4  % —  % 10.4  %
Combined ratio 92.1  % 78.4  % (27.1) % 73.5  % —  % 73.5  %
Net premiums written to gross premiums written 74.0  % 85.9  % 77.2  % 80.0  % —  % 80.0  %
Total investable assets $ 28,065,497  $ —  $ 28,065,497 
Total assets 47,990,507  —  47,990,507 
Total liabilities 35,069,605  —  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
  Insurance Reinsurance Mortgage Sub-total (Core) Other Total
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 written 1,035,986  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 earned 1,002,897  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 income 90,454  —  90,454 
Net realized gains (losses) 59,517  —  59,517 
Equity in net income (loss) of investment funds accounted for using the equity method 67,132  —  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 affiliates 617,440  —  617,440 
Income tax (expense) benefit (34,406) —  (34,406)
Income (loss) from operating affiliates 40,641  —  40,641 
Net income (loss) 623,675  —  623,675 
Amounts attributable to redeemable noncontrolling interests (410) —  (410)
Net income (loss) available to Arch 623,265  —  623,265 
Preferred dividends (10,184) —  (10,184)
Net income (loss) available to Arch common shareholders $ 613,081  $ —  $ 613,081 
Underwriting Ratios
Loss ratio 59.2  % 55.2  % (9.4) % 47.8  % —  % 47.8  %
Acquisition expense ratio 18.8  % 20.0  % 4.4  % 17.2  % —  % 17.2  %
Other operating expense ratio 14.9  % 7.9  % 16.7  % 12.6  % —  % 12.6  %
Combined ratio 92.9  % 83.1  % 11.7  % 77.6  % —  % 77.6  %
Net premiums written to gross premiums written 69.7  % 70.0  % 79.4  % 71.1  % —  % 71.1  %
Total investable assets $ 27,442,153  $ —  $ 27,442,153 
Total assets 45,100,945  —  45,100,945 
Total liabilities 31,545,816  —  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
  Insurance Reinsurance Mortgage Sub-total (Core) Other Total
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 written 5,020,642  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 earned 4,559,335  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 income 496,547  —  496,547 
Net realized gains (losses) (662,734) —  (662,734)
Equity in net income (loss) of investment funds accounted for using the equity method 115,856  —  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 affiliates 1,488,493  —  1,488,493 
Income tax (expense) benefit (79,961) —  (79,961)
Income (loss) from operating affiliates 73,891  —  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 Arch 1,476,933  —  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 ratio 61.0  % 64.9  % (28.0) % 51.9  % —  % 51.9  %
Acquisition expense ratio 19.4  % 20.5  % 3.5  % 18.0  % —  % 18.0  %
Other operating expense ratio 14.6  % 6.8  % 16.8  % 11.7  % —  % 11.7  %
Combined ratio 95.0  % 92.2  % (7.7) % 81.6  % —  % 81.6  %
Net premiums written to gross premiums written 72.4  % 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
  Insurance Reinsurance Mortgage Sub-total (Core) Other Total
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 written 4,148,193  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 earned 3,626,468  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 income 346,808  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 method 366,402  —  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 affiliates 2,013,916  89,435  2,103,351 
Income tax (expense) benefit (128,348) (234) (128,582)
Income (loss) from operating affiliates 264,693  —  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 Arch 2,147,915  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 ratio 64.6  % 67.8  % 4.4  % 55.8  % 78.0  % 56.7  %
Acquisition expense ratio 16.7  % 18.9  % 7.6  % 16.0  % 18.9  % 16.1  %
Other operating expense ratio 15.4  % 7.5  % 15.1  % 12.5  % 9.9  % 12.4  %
Combined ratio 96.7  % 94.2  % 27.1  % 84.3  % 106.8  % 85.2  %
Net premiums written to gross premiums written 70.7  % 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 written 1,216,730  1,368,759  1,228,257  1,206,896  1,035,986  5,020,642  4,148,193 
Change in unearned premiums 26,857  (181,851) (126,113) (180,200) (33,089) (461,307) (521,725)
Net premiums earned 1,243,587  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 ratio 58.7  % 69.3  % 57.1  % 58.5  % 59.2  % 61.0  % 64.6  %
Acquisition expense ratio 19.6  % 19.6  % 19.4  % 19.1  % 18.8  % 19.4  % 16.7  %
Other operating expense ratio 13.8  % 13.9  % 14.6  % 16.2  % 14.9  % 14.6  % 15.4  %
Combined ratio 92.1  % 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 premiums 2.8  % 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 written 74.0  % 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 aviation 190,325  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 accounts 134,997  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  %
Programs 129,919  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 casualty 129,083  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 health 106,111  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 solutions 36,084  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  %
Other 97,179  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  %
Europe 351,396  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  %
Other 78,642  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 aviation 214,907  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 accounts 125,816  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  %
Programs 150,917  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 casualty 104,048  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 health 123,587  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 solutions 35,787  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  %
Other 120,050  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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 written 1,543,382  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 earned 1,225,208  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 ratio 52.9  % 92.6  % 57.9  % 56.5  % 55.2  % 64.9  % 67.8  %
Acquisition expense ratio 19.9  % 20.8  % 20.4  % 21.4  % 20.0  % 20.5  % 18.9  %
Other operating expense ratio 5.6  % 6.3  % 7.1  % 8.7  % 7.9  % 6.8  % 7.5  %
Combined ratio 78.4  % 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 premiums 0.0  % 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 written 85.9  % 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 catastrophe 339,813  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  %
Casualty 264,461  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 catastrophe 54,697  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 aviation 51,354  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  %
Other 30,011  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 States 376,736  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 other 255,950  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 catastrophe 309,878  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  %
Casualty 220,335  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 catastrophe 77,416  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 aviation 50,259  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  %
Other 35,521  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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
2022 2022 2022 2022 2021 2022 2021
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 written 274,524  276,179  293,748  288,120  289,300  1,132,571  1,261,068 
Change in unearned premiums 17,600  5,889  1,884  1,417  11,616  26,790  22,351 
Net premiums earned 292,124  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 expenses 137,108  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 ratio 4.4  % 2.4  % 3.4  % 3.6  % 4.4  % 3.5  % 7.6  %
Other operating expense ratio 15.4  % 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 written 77.2  % 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 
Other 84,874  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, 2022 September 30, 2022 June 30, 2022 March 31, 2022 December 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  %
680-739 24,945  32.9  % 24,671  32.7  % 24,409  32.9  % 23,827  33.2  % 23,646  33.5  %
620-679 3,772  5.0  % 3,850  5.1  % 3,942  5.3  % 4,052  5.7  % 4,196  5.9  %
<620 277  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 score 750  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 below 3,985  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 LTV 92.8  % 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  %
Texas 6,151  8.1  % 6,080  8.1  % 5,971  8.0  % 5,733  8.0  % 5,594  7.9  %
Florida 3,268  4.3  % 3,275  4.3  % 3,301  4.4  % 3,272  4.6  % 3,303  4.7  %
Georgia 3,169  4.2  % 3,150  4.2  % 3,109  4.2  % 2,978  4.2  % 2,902  4.1  %
North Carolina 3,160  4.2  % 3,139  4.2  % 3,075  4.1  % 2,964  4.1  % 2,921  4.1  %
Illinois 3,081  4.1  % 3,087  4.1  % 3,054  4.1  % 2,955  4.1  % 2,933  4.2  %
Minnesota 3,003  4.0  % 2,996  4.0  % 2,980  4.0  % 2,913  4.1  % 2,916  4.1  %
Massachusetts 2,809  3.7  % 2,771  3.7  % 2,684  3.6  % 2,566  3.6  % 2,537  3.6  %
Virginia 2,656  3.5  % 2,647  3.5  % 2,634  3.5  % 2,504  3.5  % 2,446  3.5  %
Michigan 2,618  3.5  % 2,587  3.4  % 2,558  3.4  % 2,509  3.5  % 2,492  3.5  %
Other 39,550  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, 2022 September 30, 2022 June 30, 2022 March 31, 2022 December 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  %
680-739 3,992  35.0  % 5,322  30.5  % 6,800  28.9  % 6,254  31.2  % 7,238  32.1  %
620-679 265  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 below 1,093  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  %
Single 323  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  %
Refinance 211  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 loans 20,214  20,692  24,270  27,645  31,770 
Plus: new notices 10,068  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 paid 151  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, 2022 December 31, 2021
Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate
% of Total Total % of Total Total % of Total % of Total Total % of Total Total % of Total
Policy year:
2012 and prior 33.8  % $ 9,931  3.4  % $ 2,424  3.2  % 8.41  % 27.9  % $ 13,030  4.6  % $ 2,960  4.2  % 8.48  %
2013 2.2  % 3,000  1.0  % 798  1.1  % 1.85  % 2.6  % 4,206  1.5  % 1,148  1.6  % 2.63  %
2014 1.9  % 3,696  1.3  % 1,012  1.3  % 2.61  % 1.9  % 4,822  1.7  % 1,328  1.9  % 3.14  %
2015 2.4  % 6,236  2.1  % 1,680  2.2  % 2.08  % 3.0  % 8,703  3.1  % 2,340  3.3  % 2.67  %
2016 5.8  % 10,225  3.5  % 2,744  3.6  % 2.66  % 7.6  % 14,344  5.1  % 3,841  5.4  % 3.29  %
2017 9.1  % 9,508  3.2  % 2,521  3.3  % 3.06  % 10.9  % 13,128  4.7  % 3,436  4.9  % 4.09  %
2018 11.6  % 10,260  3.5  % 2,625  3.5  % 4.11  % 15.2  % 14,046  5.0  % 3,562  5.0  % 5.28  %
2019 10.2  % 19,096  6.5  % 4,840  6.4  % 2.36  % 15.2  % 25,841  9.2  % 6,467  9.2  % 3.13  %
2020 11.3  % 65,141  22.0  % 16,414  21.7  % 1.20  % 12.5  % 82,502  29.4  % 20,341  28.8  % 0.97  %
2021 9.9  % 89,621  30.3  % 22,740  30.0  % 0.95  % 3.2  % 100,323  35.7  % 25,196  35.7  % 0.29  %
2022 1.7  % 68,937  23.3  % 18,008  23.8  % 0.20  %
Total 100.0  % $ 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 written 3,034,636  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 earned 2,760,919  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 ratio 45.0  % 68.1  % 47.4  % 47.2  % 47.8  % 51.9  % 55.8  %
Acquisition expense ratio 18.1  % 18.1  % 17.8  % 17.8  % 17.2  % 18.0  % 16.0  %
Other operating expense ratio 10.4  % 11.1  % 11.9  % 13.7  % 12.6  % 11.7  % 12.5  %
Combined ratio 73.5  % 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 premiums 1.3  % 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 expenses 337,069  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 written 80.0  % 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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 
Reinsurance 8,131  (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:
Insurance 0.2  % 0.4  % 0.2  % 0.6  % 0.0  % 0.4  % 0.0  %
Reinsurance 0.7  % 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 
Reinsurance 157  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:
Insurance 2.8  % 13.4  % 1.5  % 3.1  % 2.0  % 5.3  % 5.6  %
Reinsurance 0.0  % 39.1  % 7.1  % 6.7  % 6.7  % 12.9  % 15.4  %
Total 1.3  % 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,
2022 2022 2022 2022 2021
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 maturities 20,236,909  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 value 859,969  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 securities 873,761  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 value 1,331,662  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 investments 1,364,763  4.9  % 1,969,471  7.4  % 2,267,531  8.6  % 2,344,995  8.8  % 1,832,522  6.7  %
Cash 855,118  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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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 investments 13,520  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 income 195,036  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 method 40,351  (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-tax 2.80  % 2.06  % 1.76  % 1.34  % 1.46  % 1.99  % 1.41  %
After-tax 2.41  % 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 agencies 5,166,591  14,891  (342,963) (328,072) —  5,494,663  94.0  % 25.5  %
Municipal bonds 419,166  3,149  (33,360) (30,211) (100) 449,477  93.3  % 2.1  %
Non-U.S. government securities 2,317,134  8,870  (237,846) (228,976) (1,882) 2,547,992  90.9  % 11.5  %
Asset-backed securities 1,928,469  761  (106,623) (105,862) (6,010) 2,040,341  94.5  % 9.5  %
Commercial mortgage-backed securities 1,047,275  608  (57,667) (57,059) (3,415) 1,107,749  94.5  % 5.2  %
Residential mortgage-backed securities 795,391  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 agencies 4,772,764  10,076  (45,967) (35,891) —  4,808,655  99.3  % 25.9  %
Municipal bonds 404,666  18,724  (1,409) 17,315  (2) 387,353  104.5  % 2.2  %
Non-U.S. government securities 2,144,079  54,048  (34,749) 19,299  (82) 2,124,862  100.9  % 11.6  %
Asset-backed securities 2,696,458  6,540  (11,108) (4,568) (708) 2,701,734  99.8  % 14.6  %
Commercial mortgage-backed securities 1,046,484  1,740  (3,117) (1,377) (6) 1,047,867  99.9  % 5.7  %
Residential mortgage-backed securities 408,477  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,
2022 2022 2022 2022 2021
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  %
AAA 3,616,537  17.9  % 3,344,746  17.9  % 3,352,551  18.5  % 3,171,975  17.5  % 3,783,386  20.5  %
AA 2,214,494  10.9  % 2,030,730  10.9  % 2,064,313  11.4  % 2,222,236  12.3  % 2,459,413  13.4  %
A 3,993,471  19.7  % 3,382,545  18.1  % 3,464,240  19.1  % 3,227,560  17.9  % 2,943,594  16.0  %
BBB 3,324,095  16.4  % 3,001,304  16.1  % 3,114,961  17.2  % 3,181,195  17.6  % 2,936,398  15.9  %
BB 560,213  2.8  % 532,162  2.9  % 551,876  3.0  % 564,762  3.1  % 501,588  2.7  %
B 377,462  1.9  % 357,543  1.9  % 367,275  2.0  % 364,181  2.0  % 371,747  2.0  %
Lower than B 12,029  0.1  % 12,417  0.1  % 4,742  —  % 7,057  —  % 43,756  0.2  %
Not rated 309,329  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 years 11,291,842  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 years 4,155,691  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 years 484,352  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 securities 795,391  3.9  % 763,371  4.1  % 698,168  3.9  % 416,138  2.3  % 408,477  2.2  %
Commercial mortgage-backed securities 1,047,275  5.2  % 1,064,238  5.7  % 1,023,088  5.6  % 1,066,365  5.9  % 1,046,484  5.7  %
Asset-backed securities 1,928,469  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,
2022 2022 2022 2022 2021
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  %
Financials 4,246,061  49.6  % 4,094,264  53.7  % 4,191,142  53.7  % 4,054,531  53.0  % 3,397,199  48.9  %
Utilities 545,843  6.4  % 483,490  6.3  % 559,150  7.2  % 460,793  6.0  % 363,468  5.2  %
Covered bonds 4,224  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  %
AA 767,130  9.0  % 823,931  10.8  % 784,206  10.0  % 835,869  10.9  % 1,006,360  14.5  %
A 3,266,251  38.1  % 2,741,063  36.0  % 2,796,539  35.8  % 2,549,426  33.3  % 2,280,498  32.9  %
BBB 3,095,503  36.2  % 2,834,413  37.2  % 2,931,983  37.5  % 2,968,760  38.8  % 2,453,904  35.3  %
BB 541,221  6.3  % 516,986  6.8  % 522,904  6.7  % 550,960  7.2  % 463,072  6.7  %
B 371,457  4.3  % 351,360  4.6  % 353,134  4.5  % 360,902  4.7  % 355,993  5.1  %
Lower than B 11,585  0.1  % 11,390  0.1  % 4,260  0.1  % 6,210  0.1  % 30,878  0.4  %
Not rated 331,928  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 Assets Credit 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 Stanley 290,477  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 & Company 242,538  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 AG 130,244  1.5  % 0.5  % A/Aa3
Spring Funding II Llc 121,221  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) Agencies AAA AA A BBB Non-Investment Grade Total
At December 31, 2022            
Residential mortgage-backed securities $ 645,008  $ 106,077  $ 27,881  $ —  $ —  $ 16,425  $ 795,391 
Commercial mortgage-backed securities 17,680  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 securities 22,198  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 Ended Year Ended
  December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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) losses 81,201  (90,537) (87,797) (3,855) (3,221) (100,988) (42,743)
Transaction costs and other 358  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) losses 0.22  (0.24) (0.23) (0.01) (0.01) (0.27) (0.11)
Transaction costs and other 0.00  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 - diluted 375,878,279  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’ equity 12,080,073  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 equity 29.5  % 0.2  % 13.3  % 6.0  % 19.4  % 11.6  % 16.7  %
Annualized operating return on average common equity 28.0  % 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 Ended Year Ended
December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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) losses 81,224  (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 income 881,870  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 Arch 816,106  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 Ended Year Ended
December 31, September 30, June 30, March 31, December 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022 2021
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/a n/a n/a n/a n/a n/a n/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’).

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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,
2022 2022 2022 2022 2021
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 Arch 17.4  % 18.8  % 18.0  % 17.4  % 16.7  %
Revolving credit agreement borrowings/total capital available to Arch —  % —  % —  % —  % —  %
Debt/total capital available to Arch 17.4  % 18.8  % 18.0  % 17.4  % 16.7  %
Preferred/total capital available to Arch 5.3  % 5.7  % 5.5  % 5.3  % 5.1  %
Debt and preferred/total capital available to Arch 22.7  % 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 Ended Cumulative
  December 31, September 30, June 30, March 31, December 31, December 31,
  2022 2022 2022 2022 2021 2022
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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