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Reserves for Loss and Loss Expenses (Details) - USD ($)
$ in Thousands
9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Dec. 31, 2017
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]      
Net reserves at beginning of year $ 10,056,914 $ 9,590,265  
Net provision for losses and loss expenses:      
Claims occurring during the current year 2,917,231 2,998,687  
Decrease in estimates for claims occurring in prior years 5,262 (7,648)  
Loss reserve discount accretion 32,082 34,436  
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 2,954,575 3,025,475  
Net payments for claims:      
Current year 597,859 628,078  
Prior year 2,106,394 1,996,977  
Total 2,704,253 2,625,055  
Foreign currency translation (101,071) 57,789  
Net reserves at end of period 10,206,165 10,048,474  
Ceded reserves at end of period 1,665,997 1,605,872  
Gross reserves at end of period $ 11,872,162 $ 11,654,346 $ 11,670,408