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Loss and Loss Expense Reserves (Tables)
12 Months Ended
Dec. 31, 2020
Loss and Loss Expense Reserves [Abstract]  
Activity in Reserves for Losses and Loss Expenses
Activity in the reserves for losses and loss expenses for the years ended December 31, 2020, 2019 and 2018 is summarized as follows.  All amounts are shown net of reinsurance, unless otherwise indicated.

 
2020
   
2019
   
2018
 
Reserves, gross of reinsurance recoverable, at the beginning of the year
 
$
988,305
   
$
865,339
   
$
680,274
 
Reinsurance recoverable on unpaid losses at the beginning of the year
   
398,305
     
375,935
     
308,143
 
Reserves at the beginning of the year
   
590,000
     
489,404
     
372,131
 
                         
Provision for losses and loss expenses:
                       
Claims occurring during the current year
   
319,269
     
349,018
     
329,078
 
Claims occurring during prior years
   
(311
)
   
(550
)
   
16,786
 
Total incurred losses and loss expenses
   
318,958
     
348,468
     
345,864
 
                         
Loss and loss expense payments:
                       
Claims occurring during the current year
   
77,880
     
90,364
     
84,738
 
Claims occurring during prior years
   
165,777
     
157,508
     
143,853
 
Total paid
   
243,657
     
247,872
     
228,591
 
Reserves at the end of the year
   
665,301
     
590,000
     
489,404
 
                         
Reinsurance recoverable on unpaid losses at the end of the year
   
424,368
     
398,305
     
375,935
 
                         
Reserves, gross of reinsurance recoverable, at the end of the year
 
$
1,089,669
   
$
988,305
   
$
865,339
 

The following table reconciles the triangles presented in this note to the total (savings) / deficiency for the Company of $311 shown in the table above:

   
Prior Year (Savings) / Deficiency
 
 
2020
   
2019
   
2018
 
Workers' Compensation
 
$
1,431
   
$
(2,733
)
 
$
(9,601
)
Commercial Auto Liability
   
10,717
     
8,893
     
32,342
 
Occupational Accident
   
(7,467
)
   
688
     
(4,178
)
Physical Damage
   
(1,684
)
   
(4,561
)
   
(1,066
)
Professional Liability Assumed
   
189
     
259
     
2,343
 
Other short-duration contracts
   
(3,497
)
   
(3,096
)
   
(3,054
)
Total
 
$
(311
)
 
$
(550
)
 
$
16,786
 
Incurred Claims Development, Net of Reinsurance
The following is information about incurred and paid claims development as of December 31, 2020, net of reinsurance, as well as cumulative claim frequency and the total of incurred‐but‐not‐reported liabilities plus expected development on reported claims included within the net incurred claims amounts.

Workers' Compensation

       
As of December 31, 2020
 
   
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
   
Total of
Incurred-but-Not-Reported
Liabilities
Plus Expected Development
   
Number
of Reported
 
Accident Year
 
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
   
on Reported
   
Claims
 
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
   
Claims
   
Per Year
 
2011
 
$
26,057
   
$
26,628
   
$
26,958
   
$
26,767
   
$
25,515
   
$
27,293
   
$
26,617
   
$
26,631
   
$
26,452
   
$
26,356
   
$
1,989
     
4,547
 
2012
           
23,965
     
25,544
     
24,887
     
24,485
     
25,616
     
27,020
     
26,775
     
25,508
     
26,397
     
2,327
     
4,484
 
2013
                   
27,619
     
30,638
     
29,913
     
32,121
     
32,553
     
31,131
     
31,066
     
31,360
     
3,137
     
5,282
 
2014
                           
36,768
     
36,968
     
34,009
     
33,427
     
31,031
     
31,579
     
31,551
     
3,772
     
5,413
 
2015
                                   
26,277
     
23,115
     
25,889
     
24,948
     
25,436
     
25,167
     
3,367
     
6,340
 
2016
                                           
35,240
     
29,757
     
29,317
     
30,060
     
29,785
     
3,693
     
6,087
 
2017
                                                   
42,387
     
37,731
     
36,211
     
34,930
     
5,921
     
16,469
 
2018
                                                           
62,973
     
61,530
     
62,451
     
13,632
     
14,295
 
2019
                                                                   
65,837
     
67,113
     
19,079
     
9,480
 
2020
                                                                           
60,204
     
34,084
     
7,550
 
Total
   
$
395,314
   
$
91,001
         

 
Cumulative Paid Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
 
   
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
 
Accident Year
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
 
2011
 
$
4,916
   
$
11,912
   
$
15,973
   
$
18,884
   
$
20,617
   
$
21,622
   
$
22,569
   
$
22,991
   
$
23,366
   
$
23,516
 
2012
           
4,597
     
11,004
     
14,834
     
17,415
     
18,946
     
20,276
     
21,157
     
21,636
     
21,850
 
2013
                   
4,880
     
12,792
     
18,065
     
21,655
     
23,643
     
24,968
     
25,847
     
26,702
 
2014
                           
5,328
     
13,665
     
19,075
     
22,387
     
23,968
     
24,714
     
25,507
 
2015
                                   
2,918
     
10,128
     
15,020
     
17,487
     
19,385
     
20,251
 
2016
                                           
5,784
     
13,377
     
18,461
     
21,304
     
23,113
 
2017
                                                   
6,150
     
15,811
     
20,863
     
23,910
 
2018
                                                           
10,987
     
27,862
     
36,794
 
2019
                                                                   
13,171
     
31,140
 
2020
                                                                           
10,508
 
Total
   
$
243,291
 
Outstanding liabilities prior to 2011, net of reinsurance
     
16,836
 
Liabilities for claims and claims adjustment expenses, net of reinsurance
   
$
168,859
 

Commercial Liability

       
As of December 31, 2020
 
   
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
   
Total of
Incurred-but-Not-Reported
Liabilities
Plus Expected Development
   
Number
of Reported
 
   
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
   
on Reported
   
Claims
 
Accident Year
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
   
Claims
   
Per Year
 
2011
 
$
46,829
   
$
43,832
   
$
31,633
   
$
36,894
   
$
35,805
   
$
37,122
   
$
36,076
   
$
37,852
   
$
37,795
   
$
38,773
   
$
21
     
2,902
 
2012
           
49,743
     
54,269
     
49,743
     
51,367
     
48,708
     
51,475
     
51,648
     
51,962
     
51,830
     
443
     
3,131
 
2013
                   
53,817
     
39,143
     
37,701
     
36,371
     
46,690
     
48,857
     
51,598
     
51,293
     
270
     
3,753
 
2014
                           
49,971
     
52,254
     
52,483
     
52,964
     
64,372
     
70,841
     
72,636
     
1,051
     
3,325
 
2015
                                   
61,420
     
70,174
     
64,323
     
71,088
     
75,503
     
77,225
     
1,736
     
3,198
 
2016
                                           
61,638
     
68,974
     
77,362
     
79,015
     
80,788
     
2,420
     
3,751
 
2017
                                                   
103,126
     
103,611
     
99,287
     
97,663
     
12,197
     
5,403
 
2018
                                                           
179,589
     
177,262
     
186,521
     
29,518
     
8,197
 
2019
                                                                   
198,022
     
195,273
     
53,842
     
8,313
 
2020
                                                                           
173,878
     
109,654
     
4,410
 
Total
   
$
1,025,880
   
$
211,152
         

 
Cumulative Paid Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
 
   
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
 
Accident Year
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
 
2011
 
$
1,809
   
$
11,350
   
$
23,615
   
$
30,795
   
$
33,255
   
$
34,009
   
$
35,561
   
$
36,400
   
$
37,263
   
$
37,267
 
2012
           
3,086
     
23,252
     
32,942
     
45,303
     
47,601
     
50,036
     
50,750
     
50,882
     
50,908
 
2013
                   
5,167
     
15,772
     
25,270
     
34,481
     
44,865
     
46,084
     
49,522
     
49,879
 
2014
                           
4,023
     
9,046
     
28,393
     
45,075
     
57,692
     
68,392
     
69,183
 
2015
                                   
10,923
     
27,582
     
49,267
     
63,133
     
71,697
     
74,276
 
2016
                                           
6,843
     
30,377
     
52,764
     
70,324
     
74,324
 
2017
                                                   
11,415
     
46,529
     
58,173
     
73,496
 
2018
                                                           
18,689
     
66,575
     
101,803
 
2019
                                                                   
19,311
     
64,294
 
2020
                                                                           
13,185
 
Total
   
$
608,615
 
Outstanding liabilities prior to 2011, net of reinsurance
     
3,433
 
Liabilities for claims and claims adjustment expenses, net of reinsurance
   
$
420,698
 

Professional Liability Reinsurance Assumed (in runoff)

       
As of December 31, 2020
 
   
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
   
Total of
Incurred-but-Not-Reported
Liabilities
Plus Expected Development
   
Number
of Reported
 
Accident Year
 
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
   
on Reported
   
Claims
 
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
   
Claims
   
Per Year
 
2011
 
$
10,492
   
$
8,314
   
$
9,017
   
$
9,859
   
$
10,779
   
$
12,735
   
$
12,744
   
$
12,725
   
$
13,018
   
$
13,228
   
$
219
     
N/A
 
2012
           
10,041
     
9,276
     
5,569
     
10,157
     
14,605
     
16,555
     
14,949
     
16,013
     
16,439
     
489
     
N/A
 
2013
                   
14,370
     
13,034
     
11,618
     
17,694
     
23,256
     
22,213
     
23,474
     
23,381
     
1,764
     
N/A
 
2014
                           
12,675
     
8,825
     
7,259
     
9,837
     
12,749
     
10,721
     
10,619
     
1,256
     
N/A
 
2015
                                   
11,638
     
7,859
     
7,147
     
10,422
     
8,753
     
8,404
     
1,959
     
N/A
 
2016
                                           
6,368
     
2,482
     
1,522
     
2,993
     
3,090
     
435
     
N/A
 
2017
                                                   
     
     
     
     
     
N/A
 
2018
                                                           
     
     
     
     
N/A
 
2019
                                                                   
     
     
     
N/A
 
2020
                                                                           
     
     
N/A
 
Total
   
$
75,161
   
$
6,122
         

 
Cumulative Paid Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
 
   
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
 
Accident Year
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
 
2011
 
$
50
   
$
637
   
$
2,061
   
$
4,983
   
$
8,104
   
$
10,404
   
$
11,679
   
$
12,280
   
$
12,404
   
$
12,629
 
2012
           
103
     
992
     
2,388
     
5,077
     
8,355
     
11,239
     
13,091
     
13,706
     
14,403
 
2013
                   
123
     
1,135
     
5,088
     
10,988
     
14,779
     
18,229
     
19,201
     
20,157
 
2014
                           
723
     
761
     
2,241
     
3,999
     
6,627
     
7,732
     
8,890
 
2015
                                   
10
     
390
     
1,899
     
3,207
     
3,964
     
5,162
 
2016
                                           
     
5
     
99
     
2,254
     
2,496
 
2017
                                                   
     
     
     
 
2018
                                                           
     
     
 
2019
                                                                   
     
 
2020
                                                                           
 
Total
   
$
63,737
 
Outstanding liabilities prior to 2011, net of reinsurance
     
534
 
Liabilities for claims and claims adjustment expenses, net of reinsurance
   
$
11,958
 

Occupational Accident

       
As of December 31, 2020 2020
 
   
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
   
Total of
Incurred-but-Not-Reported
Liabilities
Plus Expected Development
   
Number
of Reported
 
Accident Year
 
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
   
on Reported
   
Claims
 
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2018
   
2020
   
Claims
   
Per Year
 
2011
 
$
6,249
   
$
6,937
   
$
6,485
   
$
6,283
   
$
6,151
   
$
6,297
   
$
6,264
   
$
6,263
   
$
6,287
   
$
6,275
   
$
2
     
472
 
2012
           
5,272
     
4,168
     
3,908
     
3,758
     
3,585
     
3,566
     
3,551
     
3,773
     
3,758
     
8
     
380
 
2013
                   
6,410
     
5,044
     
4,403
     
4,390
     
4,166
     
4,107
     
4,082
     
4,082
     
     
337
 
2014
                           
5,283
     
4,865
     
4,147
     
4,093
     
4,031
     
4,061
     
4,041
     
38
     
325
 
2015
                                   
3,897
     
3,539
     
3,715
     
3,846
     
3,832
     
3,698
     
111
     
275
 
2016
                                           
6,729
     
6,312
     
5,847
     
5,965
     
4,894
     
112
     
704
 
2017
                                                   
17,041
     
13,334
     
12,976
     
11,031
     
111
     
1,040
 
2018
                                                           
16,365
     
17,053
     
12,147
     
412
     
892
 
2018
                                                                   
10,498
     
11,134
     
1,469
     
882
 
2020
                                                                           
12,869
     
2,508
     
772
 
Total
   
$
73,929
   
$
4,771
         

 
Cumulative Paid Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
 
   
For the Years Ended December 31 (2011-2019 is Supplementary Information and Unaudited)
 
Accident Year
 
2011
   
2012
   
2013
   
2014
   
2015
   
2016
   
2017
   
2018
   
2019
   
2020
 
2011
 
$
2,159
   
$
4,861
   
$
6,003
   
$
6,050
   
$
6,020
   
$
6,278
   
$
6,219
   
$
6,232
   
$
6,246
   
$
6,267
 
2012
           
1,082
     
2,648
     
3,190
     
3,390
     
3,377
     
3,442
     
3,482
     
3,521
     
3,555
 
2013
                   
1,989
     
3,565
     
3,768
     
4,108
     
4,110
     
4,107
     
4,082
     
4,082
 
2014
                           
2,000
     
3,685
     
3,861
     
3,909
     
3,948
     
3,968
     
3,968
 
2015
                                   
739
     
1,934
     
2,670
     
2,988
     
3,224
     
3,285
 
2016
                                           
1,596
     
4,388
     
4,818
     
4,807
     
4,785
 
2017
                                                   
3,229
     
7,756
     
9,126
     
9,645
 
2018
                                                           
5,324
     
9,807
     
10,642
 
2019
                                                                   
4,007
     
7,782
 
2020
                                                                           
4,978
 
Total
   
$
58,989
 
Outstanding liabilities prior to 2011, net of reinsurance
     
99
 
Liabilities for claims and claims adjustment expenses, net of reinsurance
   
$
15,039
 

Physical Damage (1)

       
As of December 31, 2020
 
   
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
   
Total of
Incurred-but-Not-
Reported Liabilities Plus
   
Number of
 
   
For the Years Ended December 31 (2018-2019 is Supplementary Information and Unaudited)
   
Expected Development
   
Reported Claims
 
Accident Year
 
2018
   
2019
   
2020
   
on Reported Claims
   
Per Year
 
2018
 
$
53,726
   
$
50,122
   
$
49,767
   
$
22
     
11,151
 
2019
   
     
55,354
     
54,126
     
141
     
10,472
 
2020
           
     
56,602
     
3,233
     
9,130
 
Total
   
$
160,495
   
$
3,396
         

 
Incurred Claims and Allocated Claim Adjustment Expenses, Net of Reinsurance
 
   
For the Years Ended December 31 (2018-2019 is Supplementary Information and Unaudited)
 
Accident Year
 
2018
   
2019
   
2020
 
2018
 
$
41,631
   
$
49,685
   
$
49,638
 
2019
   
     
44,197
     
53,647
 
2020
           
     
42,726
 
Total
   
$
146,011
 
Outstanding liabilities prior to 2018, net of reinsurance
     
77
 
Liabilities for claims and claims adjustment expenses, net of reinsurance
   
$
14,561
 

(1)
The majority of physical damage claims settle within a two-year period. The triangles above have been abbreviated to reflect the short-tail nature of this business.
Reconciliation of Net Incurred and Paid Claims Development

The reconciliation of the net incurred and paid claims development tables to the liability for claims and claim adjustment expenses in the consolidated balance sheet at December 31, 2020 and 2019 is as follows.

 
2020
   
2019
 
Net outstanding liabilities
           
Commercial Liability
 
$
420,698
   
$
355,148
 
Workers' Compensation
   
168,859
     
154,409
 
Occupational Accident
   
15,039
     
19,840
 
Physical Damage
   
14,561
     
11,676
 
Professional Liability Assumed
   
11,958
     
16,079
 
Other short-duration insurance lines
   
10,016
     
10,478
 
Liabilities for unpaid claims and claim adjustment expenses, net of reinsurance
   
641,131
     
567,630
 
                 
Reinsurance recoverable on unpaid claims
               
Commercial Liability
   
209,126
     
209,152
 
Workers' Compensation
   
211,421
     
182,908
 
Occupational Accident
   
500
     
1,979
 
Physical Damage
   
1,054
     
655
 
Other short-duration insurance lines
   
2,267
     
3,611
 
Reinsurance recoverable on unpaid losses at the end of the year
   
424,368
     
398,305
 
                 
Unallocated claims adjustment expenses
   
24,170
     
22,370
 
                 
Total gross liability for unpaid claims and claims adjustment expense
 
$
1,089,669
   
$
988,305
 
Supplementary Information about Average Historical Claims Duration
The following is supplementary information about average historical claims duration as of December 31, 2020:

 
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance (Supplementary Information and Unaudited)
Years
 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
Commercial Liability
 
8.8%
 
25.2%
 
22.8%
 
19.8%
 
8.9%
 
5.4%
 
3.3%
 
0.8%
 
1.1%
 
Workers' Compensation
 
16.9%
 
26.5%
 
16.1%
 
10.1%
 
6.2%
 
3.8%
 
3.1%
 
2.0%
 
1.1%
 
0.6%
Occupational Accident
 
36.2%
 
40.7%
 
11.2%
 
4.1%
 
1.0%
 
1.6%
 
(0.1)%
 
0.4%
 
0.6%
 
0.3%
Physical Damage
 
81.6%
 
16.3%
 
(0.4)%
 
N/A
 
N/A
 
N/A
 
N/A
 
N/A
 
N/A
 
N/A
Professional Liability Assumed
 
1.4%
 
3.2%
 
11.8%
 
27.6%
 
16.9%
 
14.9%
 
9.0%
 
4.1%
 
2.6%
 
1.7%