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Reinsurance (Tables)
 9 Months Ended
Sep. 30, 2019
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
 
Nine months ended
 
 
 
September 30,
2019
 
September 30,
2018
 
September 30,
2019
 
September 30,
2018
 
 
Premiums written
 
 
 
 
 
 
 
 
 
Direct
$
108,478

 
$
74,635

 
$
318,984

 
$
250,375

 
 
Assumed
752,590

 
551,042

 
3,583,287

 
2,512,297

 
 
Ceded
(156,938
)
 
(172,422
)
 
(1,246,145
)
 
(1,041,864
)
 
 
Net premiums written
$
704,130

 
$
453,255

 
$
2,656,126

 
$
1,720,808

 
 
Premiums earned
 
 
 
 
 
 
 
 
 
Direct
$
103,446

 
$
73,356

 
$
283,898

 
$
213,292

 
 
Assumed
1,146,831

 
760,920

 
3,114,408

 
1,968,138

 
 
Ceded
(343,529
)
 
(302,427
)
 
(1,030,028
)
 
(779,914
)
 
 
Net premiums earned
$
906,748

 
$
531,849

 
$
2,368,278

 
$
1,401,516

 
 
Claims and claim expenses
 
 
 
 
 
 
 
 
 
Gross claims and claim expenses incurred
$
714,714

 
$
514,873

 
$
1,804,889

 
$
817,560

 
 
Claims and claim expenses recovered
(60,194
)
 
(104,363
)
 
(469,961
)
 
(175,180
)
 
 
Net claims and claim expenses incurred
$
654,520

 
$
410,510

 
$
1,334,928

 
$
642,380