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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Reconciliation of Beginning and Ending Gross Unpaid Losses and Loss Expenses    
Gross reserve for losses and loss expenses, beginning of period $ 12,280,769 $ 12,997,553
Less reinsurance recoverable on unpaid losses, beginning of period (3,501,669) (3,159,514)
Net reserve for unpaid losses and loss expenses, beginning of period 8,779,100 9,838,039
Net incurred losses and loss expenses related to:    
Current year 678,700 715,652
Prior years (14,672) (54,307)
Net incurred losses and loss expenses 664,028 661,345
Net paid losses and loss expenses related to:    
Current year (37,600) (48,814)
Prior years (691,558) (675,393)
Net paid losses and loss expenses (729,158) (724,207)
Foreign exchange and other 6,460 (726,781)
Net reserve for unpaid losses and loss expenses, end of period 8,720,430 9,048,396
Reinsurance recoverable on unpaid losses, end of period 3,555,341 2,986,247
Gross reserve for losses and loss expenses, end of period $ 12,275,771 $ 12,034,643