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Reinsurance (Tables)
 6 Months Ended
Jun. 30, 2018
Supplemental Schedule of Reinsurance Premiums for Insurance Companies [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
 
Six months ended
 
 
 
June 30,
2018
 
June 30,
2017
 
June 30,
2018
 
June 30,
2017
 
 
Premiums written
 
 
 
 
 
 
 
 
 
Direct
$
90,573

 
$
67,805

 
$
175,740

 
$
141,213

 
 
Assumed
886,770

 
759,610

 
1,961,255

 
1,608,292

 
 
Ceded
(372,834
)
 
(271,670
)
 
(869,442
)
 
(649,624
)
 
 
Net premiums written
$
604,509

 
$
555,745

 
$
1,267,553

 
$
1,099,881

 
 
Premiums earned
 
 
 
 
 
 
 
 
 
Direct
$
69,904

 
$
56,357

 
$
139,936

 
$
114,525

 
 
Assumed
601,735

 
520,347

 
1,207,218

 
1,019,346

 
 
Ceded
(242,254
)
 
(194,439
)
 
(477,487
)
 
(385,561
)
 
 
Net premiums earned
$
429,385

 
$
382,265

 
$
869,667

 
$
748,310

 
 
Claims and claim expenses
 
 
 
 
 
 
 
 
 
Gross claims and claim expenses incurred
$
76,945

 
$
189,903

 
$
302,687

 
$
441,707

 
 
Claims and claim expenses recovered
(16,778
)
 
(47,316
)
 
(70,817
)
 
(106,039
)
 
 
Net claims and claim expenses incurred
$
60,167

 
$
142,587

 
$
231,870

 
$
335,668