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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Dec. 31, 2019
Sep. 30, 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 3,328,827 3,007,364      
Decrease in estimates for claims occurring in prior years 849 22,340      
Loss reserve discount accretion 27,335 29,246      
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 3,357,011 3,058,950      
Net payments for claims:          
Current year 570,924 767,945      
Prior years 2,077,945 1,907,979      
Total 2,648,869 2,675,924      
Foreign currency translation (21,003) (49,455)      
Net reserves at end of period 10,697,998 10,248,883 $ 11,391,064 $ 10,697,998 $ 10,582,454
Ceded reserves at end of period     2,068,295   1,814,501
Gross reserves at end of period     $ 13,459,359 12,583,249 $ 12,396,955
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