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Investments (Tables)
 3 Months Ended
Mar. 31, 2021
Investments [Abstract]  
Available-for-Sale Securities
The following is a summary of available-for-sale securities at March 31, 2021 and December 31, 2020:

  
Fair
Value
    
Cost or
Amortized Cost
    
Allowance for Credit Losses
    
Gross
Unrealized Gains
    
Gross
Unrealized Losses
    
Net Unrealized
Gains (Losses)
  
March 31, 2021
                                    
Fixed income securities
                                    
Agency collateralized mortgage obligations
  
$
11,821
    
$
11,405
    
$
–
    
$
485
    
$
(69
)
  
$
416
  
Agency mortgage-backed securities
    
114,822
      
113,228
      
–
      
2,254
      
(660
)
    
1,594
  
Asset-backed securities
    
102,638
      
102,799
      
–
      
540
      
(701
)
    
(161
)
Bank loans
    
12,073
      
11,998
      
–
      
130
      
(55
)
    
75
  
Collateralized mortgage obligations
    
6,167
      
6,027
      
–
      
240
      
(100
)
    
140
  
Corporate securities
    
362,442
      
353,462
      
–
      
11,149
      
(2,169
)
    
8,980
  
Mortgage-backed securities
    
38,612
      
39,967
      
(825
)
    
490
      
(1,020
)
    
(530
)
Municipal obligations
    
46,464
      
45,358
      
–
      
1,184
      
(78
)
    
1,106
  
Non-U.S. government obligations
    
30,648
      
30,083
      
–
      
574
      
(9
)
    
565
  
U.S. government obligations
    
189,262
      
186,682
      
–
      
3,738
      
(1,158
)
    
2,580
  
Total fixed income securities
  
$
914,949
    
$
901,009
    
$
(825
)
  
$
20,784
    
$
(6,019
)
  
$
14,765
  

 
Fair
Value
    
Cost or
Amortized Cost
    
Allowance for Credit Losses
    
Gross
Unrealized Gains
    
Gross
Unrealized Losses
    
Net Unrealized
Gains (Losses)
  
December 31, 2020
                                    
Fixed income securities
                                    
Agency collateralized mortgage obligations
  
$
11,931
    
$
11,448
    
$
–
    
$
483
    
$
–
    
$
483
  
Agency mortgage-backed securities
    
102,107
      
99,060
      
–
      
3,062
      
(15
)
    
3,047
  
Asset-backed securities
    
107,696
      
108,686
      
–
      
596
      
(1,586
)
    
(990
)
Bank loans
    
11,361
      
11,590
      
–
      
128
      
(357
)
    
(229
)
Collateralized mortgage obligations
    
5,118
      
5,061
      
–
      
151
      
(94
)
    
57
  
Corporate securities
    
360,241
      
344,059
      
–
      
16,380
      
(198
)
    
16,182
  
Mortgage-backed securities
    
38,056
      
40,675
      
(1,035
)
    
659
      
(2,243
)
    
(1,584
)
Municipal obligations
    
45,143
      
43,353
      
–
      
1,820
      
(30
)
    
1,790
  
Non-U.S. government obligations
    
30,600
      
29,882
      
–
      
718
      
–
      
718
  
U.S. government obligations
    
207,439
      
200,654
      
–
      
7,000
      
(215
)
    
6,785
  
Total fixed income securities
  
$
919,692
    
$
894,468
    
$
(1,035
)
  
$
30,997
    
$
(4,738
)
  
$
26,259
  
Fixed Maturity and Equity Security Investments in Unrealized Loss Position
The following table summarizes, for available-for-sale fixed income securities in an unrealized loss position at March 31, 2021 and December 31, 2020, the aggregate fair value and gross unrealized loss categorized by the duration individual securities have been continuously in an unrealized loss position.

  
March 31, 2021
    
December 31, 2020
  
   
Number of
Securities
    
Fair
Value
    
Gross
Unrealized Loss
    
Number of
Securities
    
Fair
Value
    
Gross
Unrealized Loss
  
Fixed income securities:
                                    
12 months or less
    
174
    
$
275,685
    
$
(4,448
)
    
100
    
$
120,630
    
$
(3,405
)
Greater than 12 months
    
31
      
51,441
      
(1,571
)
    
24
      
33,065
      
(1,333
)
Total fixed income securities
    
205
    
$
327,126
    
$
(6,019
)
    
124
    
$
153,695
    
$
(4,738
)
                                                 
Fair Value and Cost or Amortized Cost of Fixed Maturity Investments by Contractual Maturity
The fair value and the cost or amortized costs of fixed income investments at March 31, 2021, organized by contractual maturity, are shown below.  Actual maturities may ultimately differ from contractual maturities because borrowers have, in some cases, the right to call or prepay obligations with or without call or prepayment penalties. Pre-refunded municipal bonds are classified based on their pre-refunded call dates.

  
Fair
Value
    
Cost or
Amortized Cost
  
One year or less
  
$
96,999
    
$
96,057
  
Excess of one year to five years
    
368,593
      
358,662
  
Excess of five years to ten years
    
165,436
      
163,115
  
Excess of ten years
    
16,028
      
16,601
  
Contractual maturities
    
647,056
      
634,435
  
Asset-backed securities
    
267,893
      
266,574
  
Total
  
$
914,949
    
$
901,009
  
Net Realized and Unrealized Gains (Losses) on Investments

Following is a summary of the components of net realized and unrealized gains (losses) on investments for the periods presented in the accompanying condensed consolidated statements of operations.

  
Three Months Ended
March 31
  
   
2021
    
2020
  
             
Gross gains on available-for-sale fixed income securities during the period
  
$
4,151
    
$
2,652
  
Gross losses on available-for-sale fixed income securities during the period
    
(1,965
)
    
(4,741
)
                 
Impairment losses on investments
    
(82
)
    
(40
)
                 
Change in value of limited partnership investments
    
448
      
(676
)
                 
Gains (losses) on equity securities:
                
Realized gains (losses) on equity securities sold during the period
    
153
      
(2,698
)
Unrealized gains (losses) on equity securities held at the end of the period
    
7,804
      
(22,253
)
Realized and unrealized gains (losses) on equity securities during the period
    
7,957
      
(24,951
)
                 
Net realized and unrealized gains (losses) on investments
  
$
10,509
    
$
(27,756
)