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Segment Information (Tables)
3 Months Ended
Mar. 31, 2025
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, 2025
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$2,645 $3,494 $326 $6,463 
Premiums ceded (1)(712)(1,178)(60)(1,948)
Net premiums written1,933 2,316 266 4,515 
Change in unearned premiums(73)(288)34 (327)
Net premiums earned1,860 2,028 300 4,188 
Other underwriting income (loss) (2)39 11 53 
Losses and loss adjustment expenses(1,228)(1,356)(3)(2,587)
Acquisition expenses(343)(417)(4)(764)
Other operating expenses (3)(294)(127)(52)(473)
Underwriting income (loss)$(2)$167 $252 417 
Net investment income378 
Net realized gains (losses)
Equity in net income of investments accounted for using the equity method53 
Other income (loss)(2)
Corporate expenses (4)(50)
Transaction costs and other (4)(10)
Amortization of intangible assets(49)
Interest expense(35)
Net foreign exchange gains (losses)(27)
Income (loss) before income taxes and income (loss) from operating affiliates678 
Income tax (expense) benefit(121)
Income (loss) from operating affiliates17 
Net income (loss) available to Arch574 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$564 
Underwriting Ratios
Loss ratio66.0 %66.9 %1.1 %61.8 %
Acquisition expense ratio18.5 %20.6 %1.3 %18.3 %
Other operating expense ratio (5)15.6 %4.3 %13.7 %10.0 %
Combined ratio100.1 %91.8 %16.1 %90.1 %
Goodwill and intangible assets$878 $102 $328 $1,308 
(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)    ‘Other underwriting income (loss)’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees.
(4)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’
(5)    The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income (loss).’
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 (2)(235)(75)(53)(363)
Underwriting income (loss)$86 $379 $271 736 
Net investment income327 
Net realized gains (losses)67 
Equity in net income of investments accounted for using the equity method99 
Other income (loss)14 
Corporate expenses (3)(46)
Transaction costs and other (3)(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)    ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’