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Reinsurance (Tables)
 9 Months Ended
Sep. 30, 2018
Reinsurance Disclosures [Abstract]  
Schedule of Ceded Premiums Earned by Type
The table below summarizes the amounts of our ceded premiums written under the various types of agreements, as well as the amortization of prepaid reinsurance premiums:
 
Three Months Ended September 30,
 
Nine Months Ended September 30,
 
2018
 
2017
 
2018
 
2017
Quota share
$
(24,852
)
 
$
(24,768
)
 
$
(72,824
)
 
$
(71,549
)
Excess-of-loss
(28,450
)
 
(3,538
)
 
(392,541
)
 
(329,224
)
Equipment & identity theft
(2,375
)
 
(2,606
)
 
(7,126
)
 
(7,275
)
Flood
(5,897
)
 
(5,559
)
 
(15,136
)
 
(14,319
)
Ceded premiums written
$
(61,574
)
 
$
(36,471
)
 
$
(487,627
)
 
$
(422,367
)
Increase (decrease) in ceded unearned premiums
(71,052
)
 
(79,036
)
 
122,616

 
130,012

Ceded premiums earned
$
(132,626
)
 
$
(115,507
)
 
$
(365,011
)
 
$
(292,355
)
Schedule of Catastrophe Losses by Event Magnitude
Current year catastrophe losses disaggregated between named and numbered storms and all other catastrophe loss events are shown in the following table:
 
 
2018
 
2017
 
 
Number of Events
 
Incurred Loss and LAE (1) 
 
Combined Ratio Impact
 
Number of Events
 
Incurred Loss and LAE (1) 
 
Combined Ratio Impact
Three Months Ended September 30,
 
 
 
 
 
 
 
 
 
 
 
 
Current period catastrophe losses incurred
 
 
 
 
 
 
 
 
 
 
 
 
Named and numbered storms
 
3

 
$
25,019

 
14.6
%
 
4

 
$
83,460

 
54.7
 %
All other catastrophe loss events
 
6

 
9,574

 
5.6
%
 
15

 
(845
)
 
(0.6
)%
Total
 
9

 
$
34,593

 
20.2
%
 
19

 
$
82,615

 
54.1
 %
 
 
 
 
 
 
 
 
 
 
 
 
 
Nine Months Ended September 30,
 
 
 
 
 
 
 
 
 
 
 
 
Current period catastrophe losses incurred
 
 
 
 
 
 
 
 
 
 
 
 
Named and numbered storms
 
4

 
$
26,233

 
5.2
%
 
4

 
$
83,724

 
20.0
 %
All other catastrophe loss events
 
22

 
32,017

 
6.3
%
 
15

 
31,301

 
7.5
 %
Total
 
26

 
$
58,250

 
11.5
%
 
19

 
$
115,025

 
27.5
 %

(1) Incurred loss and LAE (as defined below) is equal to losses and LAE paid plus the change in case and incurred but not reported reserves. Shown net of losses ceded to reinsurers. Incurred loss and LAE and number of events includes the development on storms during the year in which it occurred.