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Reinsurance (Tables)
9 Months Ended
Sep. 30, 2023
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,
20232022
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$2,223,988 $282,070 $(478,035)$2,028,023 $2,133,822 $349,650 $(473,885)$2,009,587 
Earned$2,127,244 $424,620 $(429,901)$2,121,963 $1,899,816 $408,561 $(351,118)$1,957,259 
Program services and other fronting:
Written615,424 557,324 (1,172,966)(218)663,631 327,668 (991,719)(420)
Earned669,544 313,079 (982,841)(218)729,312 218,439 (948,180)(429)
Consolidated:
Written$2,839,412 $839,394 $(1,651,001)$2,027,805 $2,797,453 $677,318 $(1,465,604)$2,009,167 
Earned$2,796,788 $737,699 $(1,412,742)$2,121,745 $2,629,128 $627,000 $(1,299,298)$1,956,830 

Nine Months Ended September 30,
20232022
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$6,479,090 $1,419,802 $(1,444,626)$6,454,266 $6,065,936 $1,466,036 $(1,255,226)$6,276,746 
Earned$6,124,444 $1,247,743 $(1,250,605)$6,121,582 $5,370,481 $1,194,504 $(1,012,485)$5,552,500 
Program services and other fronting:
Written2,012,806 991,305 (3,005,101)(990)2,025,195 595,940 (2,624,185)(3,050)
Earned1,960,219 546,871 (2,508,080)(990)2,036,016 332,415 (2,371,227)(2,796)
Consolidated:
Written$8,491,896 $2,411,107 $(4,449,727)$6,453,276 $8,091,131 $2,061,976 $(3,879,411)$6,273,696 
Earned$8,084,663 $1,794,614 $(3,758,685)$6,120,592 $7,406,497 $1,526,919 $(3,383,712)$5,549,704 
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)2023202220232022
Gross losses and loss adjustment expenses$1,684,389 $1,423,526 $4,552,926 $3,760,566 
Ceded losses and loss adjustment expenses(278,945)(238,220)(786,876)(544,109)
Net losses and loss adjustment expenses$1,405,444 $1,185,306 $3,766,050 $3,216,457