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Segment Information (Tables)
 12 Months Ended
Dec. 31, 2023
Segment Reporting [Abstract]  
Analysis of underwriting income (loss) by segment and reconciliation to net income (loss) available to common shareholders
The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2023
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$7,911 $9,113 $1,387 $18,403 $— $18,403 
Premiums ceded (1)(2,049)(2,559)(335)(4,935)— (4,935)
Net premiums written5,862 6,554 1,052 13,468 — 13,468 
Change in unearned premiums(416)(718)106 (1,028)— (1,028)
Net premiums earned5,446 5,836 1,158 12,440 — 12,440 
Other underwriting income— 17 14 31 — 31 
Losses and loss adjustment expenses(3,122)(3,227)103 (6,246)— (6,246)
Acquisition expenses(1,055)(1,240)(17)(2,312)— (2,312)
Other operating expenses(819)(288)(194)(1,301)— (1,301)
Underwriting income$450 $1,098 $1,064 2,612 — 2,612 
Net investment income1,023 — 1,023 
Net realized gains (losses)(165)— (165)
Equity in net income (loss) of investments accounted for using the equity method278 — 278 
Other income (loss)27 — 27 
Corporate expenses (96)— (96)
Transaction costs and other(6)— (6)
Amortization of intangible assets(95)— (95)
Interest expense(133)— (133)
Net foreign exchange gains (losses)(60)— (60)
Income (loss) before income taxes and income (loss) from operating affiliates3,385 — 3,385 
Income tax (expense) benefit873 — 873 
Income (loss) from operating affiliates184 — 184 
Net income (loss)4,442 — 4,442 
Amounts attributable to redeemable noncontrolling interests1 — 1 
Net income (loss) available to Arch4,443 — 4,443 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$4,403 $— $4,403 
Underwriting Ratios
Loss ratio57.3 %55.3 %-8.9 %50.2 %— %50.2 %
Acquisition expense ratio19.4 %21.2 %1.4 %18.6 %— %18.6 %
Other operating expense ratio15.0 %4.9 %16.8 %10.5 %— %10.5 %
Combined ratio91.7 %81.4 %9.3 %79.3 %— %79.3 %
Goodwill and intangible assets$224 $130 $377 $731 $— $731 
Total investable assets$34,589 $— $34,589 
Total assets58,906 — 58,906 
Total liabilities40,551 — 40,551 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2022
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$6,931 $6,948 $1,455 $15,327 $— $15,327 
Premiums ceded (1)(1,910)(2,024)(322)(4,249)— (4,249)
Net premiums written5,021 4,924 1,133 11,078 — 11,078 
Change in unearned premiums(461)(965)27 (1,399)— (1,399)
Net premiums earned4,560 3,959 1,160 9,679 — 9,679 
Other underwriting income— 5 8 13 — 13 
Losses and loss adjustment expenses(2,784)(2,568)324 (5,028)— (5,028)
Acquisition expenses, net(887)(813)(40)(1,740)— (1,740)
Other operating expenses(665)(268)(195)(1,128)— (1,128)
Underwriting income (loss)$224 $315 $1,257 1,796 — 1,796 
Net investment income496 — 496 
Net realized gains (losses)(663)— (663)
Equity in net income (loss) of investments accounted for using the equity method115 — 115 
Other income (loss)(27)— (27)
Corporate expenses(95)— (95)
Transaction costs and other— — — 
Amortization of intangible assets(106)— (106)
Interest expense(131)— (131)
Net foreign exchange gains (losses)102 — 102 
Income (loss) before income taxes and income (loss) from operating affiliates1,487 — 1,487 
Income tax (expense) benefit(80)— (80)
Income (loss) from operating affiliates75 — 75 
Net income (loss)1,482 — 1,482 
Amounts attributable to redeemable noncontrolling interests(6)— (6)
Net income (loss) available to Arch1,476 — 1,476 
Preferred dividends(40)— (40)
Net income (loss) available to Arch common shareholders$1,436 $— $1,436 
Underwriting Ratios
Loss ratio61.0 %64.9 %-28.0 %51.9 %— %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 %— %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 %— %11.7 %
Combined ratio95.0 %92.2 %-7.7 %81.6 %— %81.6 %
Goodwill and intangible assets$229 $145 $430 $804 $— $804 
Total investable assets$28,065 $— $28,065 
Total assets47,990 — 47,990 
Total liabilities35,069 — 35,069 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Year Ended December 31, 2021
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$5,868 $5,094 $1,508 $12,463 $458 $12,752 
Premiums ceded (1)(1,719)(1,840)(247)(3,799)(105)(3,735)
Net premiums written4,149 3,254 1,261 8,664 353 9,017 
Change in unearned premiums(524)(413)22 (915)(20)(935)
Net premiums earned3,625 2,841 1,283 7,749 333 8,082 
Other underwriting income— 3 18 21 — 21 
Losses and loss adjustment expenses(2,345)(1,925)(57)(4,327)(258)(4,585)
Acquisition expenses, net(606)(537)(97)(1,240)(63)(1,303)
Other operating expenses(559)(214)(193)(966)(33)(999)
Underwriting income (loss)$115 $168 $954 1,237 (21)1,216 
Net investment income347 42 389 
Net realized gains (losses)299 81 380 
Equity in net income (loss) of investments accounted for using the equity method366 — 366 
Other income (loss)10 — 10 
Corporate expenses(76)— (76)
Transaction costs and other(1)(1)(2)
Amortization of intangible assets(81)(1)(82)
Interest expense(131)(8)(139)
Net foreign exchange gains (losses)42 (1)41 
Income (loss) before income taxes and income (loss) from operating affiliates2,012 91 2,103 
Income tax (expense) benefit(128)— (128)
Income (loss) from operating affiliates264 — 264 
Net income2,148 91 2,239 
Amounts attributable to redeemable noncontrolling interests(2)(2)(4)
Amounts attributable to nonredeemable noncontrolling interests— (78)(78)
Net income (loss) available to Arch2,148 9 2,157 
Preferred dividends(48)— (48)
Loss on redemption of preferred shares(15)— (15)
Net income (loss) available to Arch common shareholders$2,085 $9 $2,094 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Goodwill and intangible assets$256 $184 $505 $945 $— $945 
Total investable assets$27,442 $— $27,442 
Total assets45,101 — 45,101 
Total liabilities31,546 — 31,546 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
Summary of information regarding net premiums written and earned by major line of business and net premiums written by location
The following tables provide summary information regarding net premiums earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Professional lines$1,419 $1,314 $943 
Property, energy, marine and aviation1,064772668
Programs658590507
Construction and national accounts561432417
Travel, accident and health557492256
Excess and surplus casualty486393318
Warranty and lenders solutions185128153
Other 516439363
Total$5,446 $4,560 $3,625 
Net premiums written by underwriting location (1)
United States$3,780 $3,342 $2,812 
Europe1,7741,4051,126
Other308 274 211 
Total$5,862 $5,021 $4,149 
REINSURANCE SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Other specialty$2,097 $1,378 $819 
Property excluding property catastrophe1,6451,090838
Casualty1,005855667
Property catastrophe742367280
Marine and aviation229159153
Other11811084
Total$5,836 $3,959 $2,841 
Net premiums written by underwriting location (1)
United States$1,756 $1,247 $829 
Bermuda3,2882,5611,555 
Europe and other1,5101,116870 
Total$6,554 $4,924 $3,254 
MORTGAGE SEGMENTYear Ended December 31,
202320222021
Net premiums earned
U.S. primary mortgage insurance$759 $804 $953 
U.S. credit risk transfer (CRT) and other220196181
International mortgage insurance/reinsurance179160149
Total$1,158 $1,160 $1,283 
Net premiums written by underwriting location
United States$743 $781 $913 
Other309 352 348 
Total$1,052 $1,133 $1,261 

(1)    Segment results include intersegment transactions.
OTHER SEGMENTYear Ended December 31,
202320222021
Net premiums earned (1)
Casualty $— $— $138 
Other specialty— — 118 
Property catastrophe— — 15 
Property excluding property catastrophe— — 7 
Marine and aviation— — — 
Other — — 55 
Total$— $— $333 
Net premiums written by underwriting location (1)
United States$— $— $63 
Europe— — 91 
Bermuda— — 199 
Total$— $— $353