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Reinsurance (Tables)
9 Months Ended
Sep. 30, 2020
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract]  
Schedule of Effect of Reinsurance and Retrocessional Activity on Premiums Written and Earned and on Net Claims and Claim Expenses Incurred The following table sets forth the effect of reinsurance and retrocessional activity on premiums written and earned and on net claims and claim expenses incurred:
Three months endedNine months ended
September 30,
2020
September 30,
2019
September 30,
2020
September 30,
2019
Premiums written
Direct$138,208 $108,478 $463,462 $318,984 
Assumed1,004,850 752,590 4,407,189 3,583,287 
Ceded(243,647)(156,938)(1,520,629)(1,246,145)
Net premiums written$899,411 $704,130 $3,350,022 $2,656,126 
Premiums earned
Direct$128,621 $103,446 $401,177 $283,898 
Assumed1,301,871 1,146,831 3,732,961 3,114,408 
Ceded(430,309)(343,529)(1,210,761)(1,030,028)
Net premiums earned$1,000,183 $906,748 $2,923,377 $2,368,278 
Claims and claim expenses
Gross claims and claim expenses incurred$1,192,132 $714,714 $2,587,073 $1,804,889 
Claims and claim expenses recovered(250,102)(60,194)(563,817)(469,961)
Net claims and claim expenses incurred$942,030 $654,520 $2,023,256 $1,334,928