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Reinsurance (Tables)
6 Months Ended
Jun. 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 June 30,
20232022
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$2,285,739 $448,837 $(526,562)$2,208,014 $2,108,859 $420,026 $(427,959)$2,100,926 
Earned2,025,324 424,404 (418,264)2,031,464 1,772,695 382,876 (321,438)1,834,133 
Program services and other fronting:
Written824,171 229,438 (1,053,930)(321)664,590 86,574 (752,295)(1,131)
Earned649,562 159,075 (808,958)(321)607,099 65,116 (673,244)(1,029)
Consolidated:
Written3,109,910 678,275 (1,580,492)2,207,693 2,773,449 506,600 (1,180,254)2,099,795 
Earned$2,674,886 $583,479 $(1,227,222)$2,031,143 $2,379,794 $447,992 $(994,682)$1,833,104 

Six Months Ended June 30,
20232022
(dollars in thousands)DirectAssumedCededNet PremiumsDirectAssumedCededNet Premiums
Underwriting:
Written$4,255,102 $1,137,732 $(966,591)$4,426,243 $3,932,114 $1,116,386 $(781,341)$4,267,159 
Earned3,997,200 823,123 (820,704)3,999,619 3,470,665 785,943 (661,367)3,595,241 
Program services and other fronting:
Written1,397,382 433,981 (1,832,135)(772)1,361,564 268,272 (1,632,466)(2,630)
Earned1,290,675 233,792 (1,525,239)(772)1,306,704 113,976 (1,423,047)(2,367)
Consolidated:
Written5,652,484 1,571,713 (2,798,726)4,425,471 5,293,678 1,384,658 (2,413,807)4,264,529 
Earned$5,287,875 $1,056,915 $(2,345,943)$3,998,847 $4,777,369 $899,919 $(2,084,414)$3,592,874 
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 June 30, Six Months Ended June 30,
(dollars in thousands)2023202220232022
Gross losses and loss adjustment expenses$1,476,189 $1,186,691 $2,868,537 $2,337,040 
Ceded losses and loss adjustment expenses(288,676)(127,895)(507,931)(305,889)
Net losses and loss adjustment expenses$1,187,513 $1,058,796 $2,360,606 $2,031,151