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Reinsurance (Tables)
9 Months Ended
Sep. 30, 2024
Reinsurance Disclosures [Abstract]  
Effect Of Reinsurance And Retrocessional Reinsurance On Premiums Written And Earned
The following tables summarize the effect of reinsurance and retrocessional reinsurance on premiums written and earned.

Quarter Ended September 30,
20242023
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$2,249,500 $282,089 $(549,264)$1,982,325 $2,223,988 $282,070 $(478,035)$2,028,023 
Earned$2,206,453 $404,686 $(500,842)$2,110,297 $2,127,244 $424,620 $(429,901)$2,121,963 
Program services and other fronting:
Written763,082 177,038 (940,309)(189)615,424 557,324 (1,172,966)(218)
Earned721,786 530,688 (1,252,663)(189)669,544 313,079 (982,841)(218)
Consolidated:
Written$3,012,582 $459,127 $(1,489,573)$1,982,136 $2,839,412 $839,394 $(1,651,001)$2,027,805 
Earned$2,928,239 $935,374 $(1,753,505)$2,110,108 $2,796,788 $737,699 $(1,412,742)$2,121,745 

Nine Months Ended September 30,
20242023
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$6,713,503 $1,515,639 $(1,735,668)$6,493,474 $6,479,090 $1,419,802 $(1,444,626)$6,454,266 
Earned$6,554,464 $1,212,116 $(1,451,224)$6,315,356 $6,124,444 $1,247,743 $(1,250,605)$6,121,582 
Program services and other fronting:
Written2,451,180 1,443,916 (3,895,618)(522)2,012,806 991,305 (3,005,101)(990)
Earned2,236,845 894,803 (3,132,170)(522)1,960,219 546,871 (2,508,080)(990)
Consolidated:
Written$9,164,683 $2,959,555 $(5,631,286)$6,492,952 $8,491,896 $2,411,107 $(4,449,727)$6,453,276 
Earned$8,791,309 $2,106,919 $(4,583,394)$6,314,834 $8,084,663 $1,794,614 $(3,758,685)$6,120,592 
Effect Of Reinsurance And Retrocessional Reinsurance On Losses and Loss Adjustment Expenses
The following table summarizes the effect of reinsurance and retrocessional reinsurance on losses and loss adjustment expenses in the Company's underwriting operations.

Quarter Ended September 30, Nine Months Ended September 30,
(dollars in thousands)2024202320242023
Gross losses and loss adjustment expenses$1,710,637 $1,684,389 $4,982,304 $4,552,926 
Ceded losses and loss adjustment expenses(419,194)(278,945)(1,170,585)(786,876)
Net losses and loss adjustment expenses$1,291,443 $1,405,444 $3,811,719 $3,766,050