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Reinsurance (Tables)
12 Months Ended
Dec. 31, 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:
 
 
 
 
 
 
 
 
 
Year ended December 31,
2019
 
2018
 
2017
 
 
Premiums written
 
 
 
 
 
 
 
Direct
$
461,409

 
$
337,587

 
$
290,730

 
 
Assumed
4,346,341

 
2,972,840

 
2,506,810

 
 
Ceded
(1,426,257
)
 
(1,178,525
)
 
(926,215
)
 
 
Net premiums written
$
3,381,493

 
$
2,131,902

 
$
1,871,325

 
 
Premiums earned
 
 
 
 
 
 
 
Direct
$
404,525

 
$
292,219

 
$
244,285

 
 
Assumed
4,348,261

 
2,779,796

 
2,307,219

 
 
Ceded
(1,414,383
)
 
(1,095,886
)
 
(833,929
)
 
 
Net premiums earned
$
3,338,403

 
$
1,976,129

 
$
1,717,575

 
 
Claims and claim expenses
 
 
 
 
 
 
 
Gross claims and claim expenses incurred
$
3,221,778

 
$
2,578,536

 
$
3,420,388

 
 
Claims and claim expenses recovered
(1,124,757
)
 
(1,458,518
)
 
(1,558,960
)
 
 
Net claims and claim expenses incurred
$
2,097,021

 
$
1,120,018

 
$
1,861,428