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Reserve for Loss and Loss Adjustment Expenses (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2019
Dec. 31, 2018
Insurance [Abstract]        
Reserve for reported loss and LAE     $ 1,548,160 $ 1,571,217
Reserve for losses incurred but not reported (IBNR)     1,431,953 1,484,759
Reserve for loss and LAE $ 2,980,113 $ 2,386,722 $ 2,980,113 $ 3,055,976
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]        
Gross loss and LAE reserves, January 1 3,055,976 2,386,722    
Less: reinsurance recoverable on unpaid losses, January 1 1,743 24,883    
Net loss and LAE reserves, January 1 3,054,233 2,361,839    
Net incurred losses related to Current year 145,431 343,421    
Net incurred losses related to Prior years 7,258 9,785    
Net loss and loss adjustment expenses 152,689 353,206    
Net paid losses related to Current year (416) (44,317)    
Net paid losses related to Prior years (219,950) (218,176)    
Net paid losses (220,366) (262,493)    
Effect of foreign exchange rate movements (8,260) 13,960    
Net loss and LAE reserves, March 31 2,978,296 2,466,512    
Reinsurance recoverable on unpaid losses, March 31 1,817 25,490    
Gross loss and LAE reserves, March 31 2,980,113 2,492,002    
Segment Reporting Information [Line Items]        
Adverse development, net 7,258 9,785    
Other        
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]        
Net loss and loss adjustment expenses 228 0    
Segment Reporting Information [Line Items]        
Adverse development, net 228 0    
Diversified Reinsurance        
Segment Reporting Information [Line Items]        
Adverse development, net (1,096) 1,266    
AmTrust Reinsurance        
Segment Reporting Information [Line Items]        
Adverse development, net $ 8,126 $ 8,519