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Reinsurance (Tables)
 6 Months Ended
Jun. 30, 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
 
Six months ended
 
 
 
June 30,
2019
 
June 30,
2018
 
June 30,
2019
 
June 30,
2018
 
 
Premiums written
 
 
 
 
 
 
 
 
 
Direct
$
99,538

 
$
90,573

 
$
210,506

 
$
175,740

 
 
Assumed
1,377,370

 
886,770

 
2,830,697

 
1,961,255

 
 
Ceded
(453,943
)
 
(372,834
)
 
(1,089,207
)
 
(869,442
)
 
 
Net premiums written
$
1,022,965

 
$
604,509

 
$
1,951,996

 
$
1,267,553

 
 
Premiums earned
 
 
 
 
 
 
 
 
 
Direct
$
90,638

 
$
69,904

 
$
180,452

 
$
139,936

 
 
Assumed
1,202,144

 
601,735

 
1,967,577

 
1,207,218

 
 
Ceded
(381,280
)
 
(242,255
)
 
(686,499
)
 
(477,487
)
 
 
Net premiums earned
$
911,502

 
$
429,385

 
$
1,461,530

 
$
869,667

 
 
Claims and claim expenses
 
 
 
 
 
 
 
 
 
Gross claims and claim expenses incurred
$
752,056

 
$
76,945

 
$
1,090,175

 
$
302,687

 
 
Claims and claim expenses recovered
(298,683
)
 
(16,778
)
 
(409,767
)
 
(70,817
)
 
 
Net claims and claim expenses incurred
$
453,373

 
$
60,167

 
$
680,408

 
$
231,870