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Reinsurance (Tables)
12 Months Ended
Dec. 31, 2018
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:
 
 
 
 
 
 
 
 
 
Year ended December 31,
2018
 
2017
 
2016
 
 
Premiums written
 
 
 
 
 
 
 
Direct
$
337,587

 
$
290,730

 
$
208,282

 
 
Assumed
2,972,840

 
2,506,810

 
2,166,294

 
 
Ceded
(1,178,525
)
 
(926,215
)
 
(839,264
)
 
 
Net premiums written
$
2,131,902

 
$
1,871,325

 
$
1,535,312

 
 
Premiums earned
 
 
 
 
 
 
 
Direct
$
292,219

 
$
244,285

 
$
157,112

 
 
Assumed
2,779,796

 
2,307,219

 
1,874,993

 
 
Ceded
(1,095,886
)
 
(833,929
)
 
(628,675
)
 
 
Net premiums earned
$
1,976,129

 
$
1,717,575

 
$
1,403,430

 
 
Claims and claim expenses
 
 
 
 
 
 
 
Gross claims and claim expenses incurred
$
2,578,536

 
$
3,420,388

 
$
710,651

 
 
Claims and claim expenses recovered
(1,458,518
)
 
(1,558,960
)
 
(179,820
)
 
 
Net claims and claim expenses incurred
$
1,120,018

 
$
1,861,428

 
$
530,831