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Reinsurance (Tables)
 3 Months Ended
Mar. 31, 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 ended
 
 
 
March 31,
2020
 
March 31,
2019
 
 
Premiums written
 
 
 
 
 
Direct
$
147,692

 
$
110,968

 
 
Assumed
1,878,029

 
1,453,327

 
 
Ceded
(755,913
)
 
(635,264
)
 
 
Net premiums written
$
1,269,808

 
$
929,031

 
 
Premiums earned
 
 
 
 
 
Direct
$
134,229

 
$
89,814

 
 
Assumed
1,149,733

 
765,433

 
 
Ceded
(370,864
)
 
(305,219
)
 
 
Net premiums earned
$
913,098

 
$
550,028

 
 
Claims and claim expenses
 
 
 
 
 
Gross claims and claim expenses incurred
$
747,715

 
$
338,119

 
 
Claims and claim expenses recovered
(176,761
)
 
(111,084
)
 
 
Net claims and claim expenses incurred
$
570,954

 
$
227,035