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Reinsurance (Tables)
9 Months Ended
Sep. 30, 2013
Reinsurance [Abstract]  
Effect of reinsurance transactions on our premium, loss and loss adjustment expense and policy acquisition costs
  Nine months ended September 30, Three months ended September 30, 
  2013 2012 2013 2012 
Direct written premium$ 1,911,619 $ 1,826,610 $ 616,938 $ 603,844 
Reinsurance assumed  296,942   313,395   61,975   61,919 
Reinsurance ceded  (478,609)   (409,206)   (157,179)   (135,456) 
 Net written premium$ 1,729,952 $ 1,730,799 $ 521,734 $ 530,307 
              
Direct earned premium$ 1,860,093 $ 1,795,109 $ 622,464 $ 601,572 
Reinsurance assumed  252,902   259,870   81,594   90,988 
Reinsurance ceded  (433,785)   (378,857)   (147,390)   (128,910) 
 Net earned premium$ 1,679,210 $ 1,676,122 $ 556,668 $ 563,650 
              
Direct loss and loss adjustment expense$ 1,210,862 $ 1,029,227 $ 517,382 $ 301,306 
Reinsurance assumed  119,315   96,143   8,607   35,108 
Reinsurance ceded  (337,630)   (155,603)   (205,613)   (32,400) 
 Net loss and loss adjustment expense $ 992,547 $ 969,767 $ 320,376 $ 304,014 

Policy acquisition costs$ 309,285 $ 299,854 $ 105,254 $ 101,698 
Ceding commissions  (105,898)   (88,300)   (39,612)   (34,078) 
 Net policy acquisition costs$ 203,387 $ 211,554 $ 65,642 $ 67,620 
Components of our reinsurance recoverables
  September 30, December 31, 
  2013 2012 
Reinsurance recoverable on paid losses $51,262 $54,675 
Reinsurance recoverable on outstanding losses  456,364  479,026 
Reinsurance recoverable on incurred but not reported losses  709,451  539,021 
Reserve for uncollectible reinsurance  (1,500)  (1,500) 
 Total reinsurance recoverables $1,215,577 $1,071,222 
Amounts of letters of credit and cash available to us as collateral, plus other potential offsets
  September 30, December 31, 
  2013 2012 
Payables to reinsurers$194,857 $190,228 
Letters of credit 82,115  89,832 
Funds held in trust 89,050  116,597 
 Total credits$366,022 $396,657 
Calculation of net reserves, net unearned premium and net deferred policy acquisition costs
  September 30, December 31, 
  2013 2012 
        
Loss and loss adjustment expense payable $4,021,847 $3,767,850 
Reinsurance recoverable on outstanding losses  (456,364)  (479,026) 
Reinsurance recoverable on incurred but not reported losses  (709,451)  (539,021) 
 Net reserves $2,856,032 $2,749,803 
        
Unearned premium $1,165,580 $1,069,956 
Ceded unearned premium  (301,891)  (256,988) 
 Net unearned premium $863,689 $812,968 
        
       
Deferred policy acquisition costs $204,740 $191,960 
Deferred ceding commissions  (86,804)  (74,609) 
 Net deferred policy acquisition costs $117,936 $117,351