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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Dec. 31, 2016
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of year $ 9,590,265 $ 9,244,872  
Net provision for losses and loss expenses:      
Claims occurring during the current year 2,998,687 2,838,777  
Decrease in estimates for claims occurring in prior years (7,648) (23,518)  
Loss reserve discount accretion 34,436 37,080  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 3,025,475 2,852,339  
Net payments for claims:      
Current year 628,078 612,615  
Prior year 1,996,977 1,931,454  
Total 2,625,055 2,544,069  
Foreign currency translation 57,789 (6,266)  
Net reserves at end of period 10,048,474 9,546,876  
Ceded reserve at end of period 1,605,872 1,550,954  
Gross reserves at end of period $ 11,654,346 $ 11,097,830 $ 11,197,195