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Reinsurance (Tables)
12 Months Ended
Dec. 31, 2017
Reinsurance Disclosures [Abstract]  
Ceded reinsurance
Assumed, ceded and net amounts for the years ended December 31, 2017, 2016 and 2015 were as follows (in thousands of U.S. dollars): 
 
 
Premiums
Written
 
Premiums
Earned
 
Losses and  Loss
Expenses
2017
 
 
 
 
 
 
Assumed
 
$
5,587,894

 
$
5,471,546

 
$
4,458,290

Ceded
 
467,968

 
446,565

 
617,308

Net
 
$
5,119,926

 
$
5,024,981

 
$
3,840,982

 
 
 
 
 
 
 
2016
 
 
 
 
 
 
Assumed
 
$
5,356,942

 
$
5,343,831

 
$
3,412,648

Ceded
 
403,472

 
374,235

 
164,557

Net
 
$
4,953,470

 
$
4,969,596

 
$
3,248,091

 
 
 
 
 
 
 
2015
 
 
 
 
 
 
Assumed
 
$
5,547,525

 
$
5,570,321

 
$
3,215,665

Ceded
 
317,977

 
301,143

 
58,245

Net
 
$
5,229,548

 
$
5,269,178

 
$
3,157,420