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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2020
Dec. 31, 2019
Mar. 31, 2019
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]          
Net reserves at beginning of period $ 10,697,998 $ 10,248,883      
Net provision for losses and loss expenses:          
Claims occurring during the current year 1,097,523 971,806      
Decrease in estimates for claims occurring in prior years 433 6,481      
Loss reserve discount accretion 9,297 10,363      
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 1,107,253 988,650      
Net payments for claims:          
Current year 84,310 295,873      
Prior years 864,064 567,756      
Total 948,374 863,629      
Foreign currency translation (77,167) (163)      
Net reserves at end of period 10,697,998 10,248,883 $ 10,785,637 $ 10,697,998 $ 10,373,741
Ceded reserves at end of period     1,946,878   1,719,369
Gross reserves at end of period     $ 12,732,515 12,583,249 $ 12,093,110
Cumulative effect adjustment resulting from changes in accounting principles          
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]          
Net reserves at beginning of period 5,927 0      
Net payments for claims:          
Net reserves at end of period 5,927 0   5,927  
Cumulative Effect, Period Of Adoption, Adjusted Balance          
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]          
Net reserves at beginning of period 10,703,925 10,248,883      
Net payments for claims:          
Net reserves at end of period $ 10,703,925 $ 10,248,883   $ 10,703,925