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Reinsurance
9 Months Ended
Sep. 30, 2024
Reinsurance Disclosures [Abstract]  
Reinsurance Reinsurance
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 

Substantially all of the premiums written and earned in the Company's program services and other fronting operations for the quarter and nine months ended September 30, 2024 and 2023 were ceded. The percentage of consolidated ceded earned premiums to gross earned premiums was 45% and 42% for the quarter and nine months ended September 30, 2024, respectively, and 40% and 38% for the quarter and nine months ended September 30, 2023, respectively. The percentage of consolidated assumed earned premiums to net earned premiums was 44% and 33% for the quarter and nine months ended September 30, 2024, respectively, and 35% and 29% for the quarter and nine months ended September 30, 2023, respectively.

Substantially all of the incurred losses and loss adjustment expenses in the Company's program services and other fronting operations were ceded. These gross losses totaled $975.0 million and $2.2 billion for the quarter and nine months ended September 30, 2024, respectively, and $743.8 million and $1.8 billion for the quarter and nine months ended September 30, 2023, respectively.

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