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Reinsurance (Tables)
9 Months Ended
Sep. 30, 2012
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, 
 2012 2011 2012 2011 
Direct written premium$ 1,826,610 $ 1,724,869 $ 603,844 $ 555,427 
Reinsurance assumed  313,395   295,268   61,919   73,420 
Reinsurance ceded  (409,206)   (359,046)   (135,456)   (116,513) 
Net written premium$ 1,730,799 $ 1,661,091 $ 530,307 $ 512,334 
             
Direct earned premium$ 1,795,109 $ 1,728,082 $ 601,572 $ 574,571 
Reinsurance assumed  259,870   255,293   90,988   96,799 
Reinsurance ceded  (378,857)   (406,388)   (128,910)   (127,114) 
Net earned premium$ 1,676,122 $ 1,576,987 $ 563,650 $ 544,256 
             
Direct loss and loss adjustment expense$ 1,029,227 $ 1,197,225 $ 301,306 $ 410,573 
Reinsurance assumed  96,143   186,805   35,108   44,600 
Reinsurance ceded  (155,603)   (321,790)   (32,400)   (74,801) 
Net loss and loss adjustment expense $ 969,767 $ 1,062,240 $ 304,014 $ 380,372 

Policy acquisition costs$ 299,854 $ 292,645 $ 101,698 $ 100,975 
Ceding commissions  (88,300)   (99,465)   (34,078)   (43,479) 
Net policy acquisition costs$ 211,554 $ 193,180 $ 67,620 $ 57,496 
Components of our reinsurance recoverables
  September 30, December 31, 
  2012 2011 
Reinsurance recoverable on paid losses $58,220 $83,109 
Reinsurance recoverable on outstanding losses  479,378  477,760 
Reinsurance recoverable on incurred but not reported losses  477,859  497,074 
Reserve for uncollectible reinsurance  (1,500)  (1,875) 
 Total reinsurance recoverables $1,013,957 $1,056,068 
Amounts of letters of credit and cash deposits held by us as collateral, plus other credits available for potential offset
  September 30, December 31, 
  2012 2011 
Payables to reinsurers$201,598 $195,806 
Letters of credit 97,357  120,589 
Cash  112,105  83,731 
 Total credits$411,060 $400,126 
Calculation of net reserves, net unearned premium and net deferred policy acquisition costs
  September 30, December 31, 
  2012 2011 
        
Loss and loss adjustment expense payable $3,692,250 $3,658,317 
Reinsurance recoverable on outstanding losses  (479,378)  (477,760) 
Reinsurance recoverable on incurred but not reported losses  (477,859)  (497,074) 
 Net reserves $2,735,013 $2,683,483 
        
Unearned premium $1,118,094 $1,031,034 
Ceded unearned premium  (262,168)  (222,300) 
 Net unearned premium $855,926 $808,734 
       
Deferred policy acquisition costs $199,401 $189,633 
Deferred ceding commissions  (74,441)  (62,364) 
 Net deferred policy acquisition costs $124,960 $127,269