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Reinsurance (Tables)
 12 Months Ended
Dec. 31, 2014
Reinsurance Disclosures [Abstract]  
Effects of reinsurance
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
 
Year Ended December 31,
 
2014
 
2013
 
2012
Premiums Written
 
 
 
 
 
Direct
$
3,100,946

 
$
2,754,582

 
$
2,673,864

Assumed
1,739,670

 
1,442,041

 
1,195,297

Ceded
(948,678
)
 
(845,256
)
 
(816,926
)
Net
$
3,891,938

 
$
3,351,367

 
$
3,052,235

 
 
 
 
 
 
Premiums Earned
 
 
 
 
 
Direct
$
2,914,755

 
$
2,666,104

 
$
2,572,078

Assumed
1,574,049

 
1,296,048

 
1,165,371

Ceded
(895,056
)
 
(816,200
)
 
(802,309
)
Net
$
3,593,748

 
$
3,145,952

 
$
2,935,140

 
 
 
 
 
 
Losses and Loss Adjustment Expenses
 
 
 
 
 
Direct
$
1,763,492

 
$
1,603,369

 
$
1,725,707

Assumed
621,346

 
450,618

 
578,081

Ceded
(465,588
)
 
(374,563
)
 
(442,511
)
Net
$
1,919,250

 
$
1,679,424

 
$
1,861,277