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Segment Information (Tables)
3 Months Ended
Mar. 31, 2024
Segment Reporting [Abstract]  
Analysis of underwriting income or loss by segment and reconciliation to net income 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:
Three Months Ended
March 31, 2024
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$2,126 $3,467 $341 $5,933 
Premiums ceded (1)(584)(1,201)(64)(1,848)
Net premiums written1,542 2,266 277 4,085 
Change in unearned premiums(91)(600)28 (663)
Net premiums earned1,451 1,666 305 3,422 
Other underwriting income (loss)— 10 12 
Losses and loss adjustment expenses(854)(883)(1,728)
Acquisition expenses(276)(331)— (607)
Other operating expenses(235)(75)(53)(363)
Underwriting income (loss)$86 $379 $271 736 
Net investment income327 
Net realized gains (losses)67 
Equity in net income (loss) of investment funds accounted for using the equity method99 
Other income (loss)14 
Corporate expenses (2)(46)
Transaction costs and other (2)(7)
Amortization of intangible assets(21)
Interest expense(34)
Net foreign exchange gains (losses)31 
Income (loss) before income taxes and income (loss) from operating affiliates1,166 
Income tax (expense) benefit(101)
Income (loss) from operating affiliates55 
Net income (loss) available to Arch1,120 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$1,110 
Underwriting Ratios
Loss ratio58.9 %53.0 %(3.0)%50.5 %
Acquisition expense ratio19.0 %19.9 %— %17.7 %
Other operating expense ratio16.2 %4.5 %17.5 %10.6 %
Combined ratio94.1 %77.4 %14.5 %78.8 %
Goodwill and intangible assets$293 $121 $364 $778 
(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.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’
Three Months Ended
March 31, 2023
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$1,979 $2,460 $343 $4,780 
Premiums ceded (1)(542)(734)(82)(1,356)
Net premiums written1,437 1,726 261 3,424 
Change in unearned premiums(180)(396)35 (541)
Net premiums earned1,257 1,330 296 2,883 
Other underwriting income (loss)— 10 
Losses and loss adjustment expenses(703)(766)(2)(1,471)
Acquisition expenses(245)(281)(7)(533)
Other operating expenses(195)(74)(50)(319)
Underwriting income (loss)$114 $213 $243 570 
Net investment income199 
Net realized gains (losses)17 
Equity in net income (loss) of investment funds accounted for using the equity method48 
Other income (loss)11 
Corporate expenses (2)(29)
Transaction costs and other (2)(1)
Amortization of intangible assets(23)
Interest expense(32)
Net foreign exchange gains (losses)(18)
Income (loss) before income taxes and income (loss) from operating affiliates742 
Income tax (expense) benefit(64)
Income (loss) from operating affiliates39 
Net income (loss)717 
Net (income) loss attributable to noncontrolling interests(2)
Net income (loss) available to Arch715 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$705 
Underwriting Ratios    
Loss ratio55.9 %57.6 %0.6 %51.0 %
Acquisition expense ratio19.5 %21.1 %2.5 %18.5 %
Other operating expense ratio15.5 %5.6 %16.9 %11.1 %
Combined ratio90.9 %84.3 %20.0 %80.6 %
Goodwill and intangible assets$228 $142 $415 $785 

(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.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’