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Reinsurance (Tables)
 3 Months Ended
Mar. 31, 2019
SEC Schedule, 12-17, Insurance Companies, Reinsurance [Abstract]  
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,
2019
 
March 31,
2018
 
 
Premiums written
 
 
 
 
 
Direct
$
110,968

 
$
85,167

 
 
Assumed
1,453,327

 
1,074,485

 
 
Ceded
(635,264
)
 
(496,608
)
 
 
Net premiums written
$
929,031

 
$
663,044

 
 
Premiums earned
 
 
 
 
 
Direct
$
89,814

 
$
70,032

 
 
Assumed
765,433

 
605,483

 
 
Ceded
(305,219
)
 
(235,233
)
 
 
Net premiums earned
$
550,028

 
$
440,282

 
 
Claims and claim expenses
 
 
 
 
 
Gross claims and claim expenses incurred
$
338,119

 
$
225,742

 
 
Claims and claim expenses recovered
(111,084
)
 
(54,039
)
 
 
Net claims and claim expenses incurred
$
227,035

 
$
171,703