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Reserves For Losses And Loss Expenses (Tables)
12 Months Ended
Dec. 31, 2019
Insurance [Abstract]  
Loss and loss expenses incurred, net of reinsurance, and cumulative paid claims and claim adjustment expenses, net of reinsurance
The following tables present undiscounted incurred and paid claims development as of December 31, 2019, net of reinsurance, as well as cumulative claim frequency and the total of incurred but not reported liabilities (IBNR). The information about incurred and paid claims development for the years ended December 31, 2010 to 2018 is presented as supplementary information. To enhance the comparability of the loss development data, the Company has removed the impact of foreign exchange rate movements by using the December 31, 2019 exchange rate for all periods. Beginning with accident year 2012, the Company's U.K. and European insurance business is included in the Insurance segment's tables for Other Liability, Professional Liability, Commercial Automobile and Short-Tail Lines. Prior to 2012, the actuarial analysis for its U.K. and European insurance business was performed on an underwriting year basis and accident year data is not available for those years.
Insurance
Other Liability
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
 
Unaudited
 
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
Cumulative Number of Reported Claims
2010
$
612,467

$
616,023

$
589,921

$
588,602

$
575,528

$
572,785

$
571,637

$
569,440

$
564,873

$
561,579

 
$
19,742

22
2011

665,420

671,537

657,679

656,976

651,973

647,091

643,195

632,382

642,774

 
22,746

23
2012


691,803

700,539

701,144

707,326

711,287

721,460

715,996

714,020

 
32,727

23
2013



750,054

790,314

782,260

782,039

802,908

809,250

803,856

 
49,079

25
2014




847,034

848,641

846,644

851,044

863,899

870,017

 
83,500

26
2015





951,028

986,655

961,441

964,598

966,662

 
134,615

25
2016






1,018,009

1,010,984

1,019,893

1,031,150

 
245,835

25
2017







1,066,362

1,100,127

1,122,209

 
377,307

25
2018








1,104,631

1,131,202

 
606,500

23
2019









1,237,276

 
937,110

20
Total
 
 
 
 
 
 
 
 


$
9,080,745

 
 
 

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
45,194

$
128,948

$
246,647

$
334,054

$
414,945

$
459,478

$
489,077

$
506,283

$
522,939

$
531,085

2011

48,830

141,192

265,071

377,769

469,004

522,369

554,152

573,236

591,990

2012


57,568

157,316

298,095

415,890

511,601

578,617

620,507

651,000

2013



63,293

188,240

330,928

471,648

587,102

647,891

693,306

2014




78,921

190,876

338,365

480,418

594,488

680,436

2015





82,712

210,773

382,185

538,071

676,037

2016






69,477

208,991

390,231

558,539

2017







80,037

255,849

453,389

2018








86,858

264,392

2019









88,260

Total
 
 
 
 
 
 
 
 


$
5,188,434

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
106,200

 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
3,998,511



Workers' Compensation
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
 
Unaudited
 
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
Cumulative Number of Reported Claims
2010
$
352,138

$
355,305

$
411,527

$
420,604

$
426,622

$
429,952

$
429,762

$
427,698

$
424,374

$
424,195

 
$
13,552

45
2011

413,429

444,887

457,134

470,026

472,087

474,076

475,729

471,471

473,766

 
17,276

46
2012


501,681

501,810

503,956

503,863

509,167

512,707

508,169

506,730

 
24,736

48
2013



552,570

547,295

546,995

543,238

547,000

542,274

541,926

 
29,205

53
2014




639,436

637,307

627,767

617,242

615,435

604,029

 
44,633

57
2015





712,800

690,525

650,997

641,169

626,431

 
60,862

58
2016






702,716

696,339

684,700

660,508

 
71,710

57
2017







762,093

733,505

689,559

 
107,981

57
2018








778,964

724,463

 
153,587

55
2019









783,244

 
372,381

50
Total
 
 
 
 
 
 
 
 


$
6,034,851

 
 
 

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
108,675

$
215,882

$
281,280

$
320,154

$
344,631

$
362,078

$
374,013

$
382,665

$
388,405

$
392,672

2011

106,899

236,207

309,509

355,909

385,759

408,304

420,945

428,811

436,905

2012


115,536

255,063

339,560

387,368

419,588

437,196

451,991

459,119

2013



117,900

277,538

363,028

414,160

447,894

466,580

479,104

2014




148,405

319,743

412,611

471,235

503,915

521,141

2015





139,320

323,744

421,734

477,541

512,933

2016






142,998

338,835

446,072

504,850

2017







153,456

362,299

468,817

2018








171,006

397,464

2019









184,715

Total
 
 
 
 
 
 
 
 


$
4,357,720

 
 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
193,837

 
 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
1,870,968




Professional Liability
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
 
Unaudited
 
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
Cumulative Number of Reported Claims
2010
$
147,632

$
165,689

$
179,344

$
177,951

$
176,653

$
172,493

$
174,796

$
177,757

$
182,717

$
182,860

 
$
62

4
2011

179,818

165,291

187,074

189,988

176,936

173,309

176,606

175,689

176,230

 
2,187

4
2012


238,978

242,541

265,690

251,230

239,458

245,945

244,730

245,338

 
7,091

5
2013



269,993

248,080

243,887

249,797

271,469

280,018

285,262

 
14,062

6
2014




253,992

247,373

260,498

244,454

239,982

258,781

 
26,194

6
2015





260,216

258,780

275,608

276,842

292,401

 
37,634

7
2016






311,099

325,241

361,996

402,929

 
56,934

8
2017







333,758

332,864

339,021

 
112,457

9
2018








335,728

322,952

 
168,475

9
2019









337,228

 
259,157

9
Total
 
 
 
 
 
 
 
 


$
2,843,002

 
 
 

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
14,806

$
58,851

$
108,438

$
129,619

$
144,336

$
160,466

$
164,894

$
171,206

$
178,756

$
179,865

2011

18,726

62,305

102,898

134,253

150,487

158,678

166,949

168,526

170,205

2012


21,697

86,734

128,245

159,285

190,584

214,821

223,988

232,160

2013



23,939

63,951

119,567

177,525

207,020

249,005

258,394

2014




19,446

83,694

138,678

176,134

199,337

216,228

2015





20,415

85,470

139,835

187,664

216,575

2016






28,631

102,661

201,854

255,841

2017







36,579

96,456

163,003

2018








28,231

99,789

2019









31,790

Total
 
 
 
 
 
 
 
 


$
1,823,850

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
15,104

 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
1,034,256



Commercial Automobile
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
 
Unaudited
 
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
Cumulative Number of Reported Claims
2010
$
310,591

$
320,098

$
330,224

$
328,901

$
332,748

$
331,615

$
330,586

$
330,297

$
329,976

$
329,768

 
$
144

37
2011

312,224

320,920

328,320

331,732

341,394

341,200

342,094

343,566

343,433

 
964

37
2012


314,309

326,831

342,588

355,609

364,084

364,328

366,541

365,806

 
807

37
2013



327,514

349,136

368,894

376,860

367,264

366,822

365,953

 
1,592

39
2014




363,913

385,251

418,161

416,123

413,589

413,424

 
4,385

42
2015





389,660

417,053

423,180

431,376

432,415

 
7,808

46
2016






431,261

430,911

442,210

443,268

 
18,162

45
2017







430,768

428,708

430,499

 
31,607

41
2018








442,788

462,756

 
67,700

40
2019









483,206

 
162,432

37
Total
 
 
 
 
 
 
 
 


$
4,070,528

 
 
 
Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
136,029

$
208,790

$
263,639

$
295,355

$
313,262

$
324,997

$
326,804

$
327,240

$
327,863

$
328,006

2011

135,350

211,756

262,685

296,370

321,814

333,987

338,325

340,360

340,799

2012


136,844

215,214

273,446

312,342

344,326

355,631

360,681

361,755

2013



142,929

218,596

267,253

322,441

343,556

353,424

362,152

2014




155,572

237,665

328,125

365,376

394,063

402,013

2015





160,024

265,083

324,976

370,037

397,666

2016






184,516

279,381

341,423

390,359

2017







180,755

267,587

327,135

2018








180,162

281,651

2019









185,344

Total
 
 
 
 
 
 
 
 


$
3,376,880

 
 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
4,313

 
 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
697,961


Short-tail lines
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
 
Unaudited
 
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
Cumulative Number of Reported Claims
2010
$
385,319

$
370,080

$
358,254

$
355,602

$
345,937

$
346,380

$
346,493

$
346,074

$
345,777

$
345,546

 
$
233

19
2011

478,520

471,678

463,253

460,030

457,182

450,325

449,529

451,410

451,064

 
649

21
2012


529,564

537,716

538,141

533,491

507,509

506,464

508,354

507,416

 
2,229

28
2013



576,784

586,382

577,353

553,680

552,192

548,673

546,766

 
3,405

30
2014




707,121

712,320

664,718

663,342

664,169

664,416

 
4,366

34
2015





743,454

731,950

728,186

726,748

718,506

 
10,676

37
2016






773,945

777,270

764,278

758,881

 
12,383

40
2017







753,512

753,803

748,451

 
18,189

46
2018








760,474

750,780

 
33,738

52
2019









726,820

 
168,528

42
Total
 
 
 
 
 
 
 
 


$
6,218,646

 
 
 
Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
245,037

$
325,163

$
337,688

$
346,622

$
340,066

$
342,773

$
343,899

$
344,887

$
344,908

$
344,989

2011

303,016

417,730

436,718

440,937

445,234

446,944

447,538

450,352

450,439

2012


281,830

454,731

504,954

515,520

498,207

499,355

503,614

504,342

2013



314,122

488,140

536,630

531,474

538,304

539,553

540,158

2014




372,670

599,119

613,530

632,796

648,072

655,332

2015





395,440

612,369

668,012

690,037

699,770

2016






417,424

671,219

712,815

728,122

2017







445,560

690,029

718,949

2018








415,206

662,185

2019









405,213

Total
 
 
 
 
 
 
 
 


$
5,709,499

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
1,019

 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
510,166


Reinsurance & Monoline Excess
Casualty
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
Unaudited
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
2010
$
290,438

$
298,265

$
288,146

$
276,049

$
265,455

$
256,271

$
252,900

$
250,596

$
249,599

$
249,472

 
$
14,322

2011

290,770

309,836

304,352

299,244

307,969

304,780

296,280

292,762

299,130

 
16,563

2012


331,991

335,867

330,882

325,224

333,982

336,492

334,588

331,270

 
17,481

2013



319,491

270,382

275,539

285,032

293,686

299,224

303,568

 
25,073

2014




320,579

320,226

319,573

331,339

325,497

324,941

 
34,043

2015





259,922

232,272

230,856

252,959

293,718

 
43,622

2016






241,533

253,501

246,019

268,508

 
51,973

2017







232,010

221,769

239,788

 
85,671

2018








222,100

211,227

 
109,087

2019









237,412

 
196,623

Total
 
 
 
 
 
 
 
 


$
2,759,034

 
 

Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
17,814

$
45,338

$
76,845

$
105,912

$
128,476

$
150,665

$
166,361

$
181,857

$
191,532

$
198,822

2011

17,812

52,231

97,476

133,808

169,219

192,724

208,347

220,566

232,452

2012


22,329

62,037

111,538

152,590

187,196

219,637

241,318

257,010

2013



28,910

63,718

110,306

144,405

178,174

205,716

226,083

2014




21,280

68,992

115,873

155,207

198,196

227,684

2015





17,866

48,445

91,198

141,348

178,657

2016






19,895

61,787

100,262

140,411

2017







16,473

40,138

69,465

2018








11,092

41,018

2019









14,574

Total
 
 
 
 
 
 
 
 


$
1,586,176

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
383,199

 
 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
1,556,057





Monoline Excess
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
Unaudited
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
2010
$
135,639

$
123,497

$
120,272

$
118,712

$
102,424

$
104,732

$
100,065

$
94,986

$
95,374

$
99,944

 
$
15,731

2011

88,650

93,993

98,051

89,031

85,299

83,850

78,246

74,109

72,091

 
14,075

2012


72,366

73,230

73,670

73,653

72,441

67,878

69,361

67,205

 
11,249

2013



63,995

50,355

46,025

42,419

38,551

35,120

31,752

 
12,626

2014




63,561

57,558

49,478

45,758

41,671

42,541

 
15,347

2015





69,977

57,897

50,099

45,115

39,682

 
19,040

2016






72,657

70,281

71,404

64,957

 
23,676

2017







76,701

80,508

70,749

 
29,999

2018








77,820

72,505

 
36,930

2019









78,929

 
48,526

Total
 
 
 
 
 
 
 
 
 
$
640,355

 
 
Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
2,867

$
4,003

$
5,571

$
8,701

$
11,260

$
11,699

$
14,261

$
18,821

$
22,355

$
28,431

2011

2,593

4,848

6,395

14,042

15,684

18,638

20,164

21,463

23,686

2012


1,127

6,097

10,815

11,167

13,234

15,738

17,982

20,004

2013



647

1,897

2,158

3,008

3,396

4,418

5,349

2014




377

1,729

3,354

4,175

5,808

7,595

2015





2,069

2,481

3,272

4,099

4,416

2016






2,498

4,783

5,573

5,928

2017







6,282

12,810

15,356

2018








6,141

8,230

2019









6,241

Total
 
 
 
 
 
 
 
 
 
$
125,236

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
765,323

 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
1,280,442



Property
(In thousands)
Loss and Loss Expenses Incurred, Net of Reinsurance
 
As of December 31, 2019
For the Year Ended December 31,
 
 
 
Unaudited
 
 
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
 
IBNR
2010
$
58,367

$
55,399

$
52,306

$
51,186

$
51,230

$
50,694

$
50,571

$
50,398

$
50,630

$
50,362

 
$
208

2011

95,201

87,837

84,914

86,326

84,791

84,522

84,246

84,651

84,432

 
490

2012


103,833

94,661

86,330

85,334

83,814

83,822

84,746

84,555

 
1,032

2013



141,563

112,684

114,123

111,945

112,579

111,895

109,699

 
643

2014




113,126

96,636

97,279

100,011

99,250

98,912

 
1,685

2015





127,259

117,563

131,755

130,391

129,492

 
2,478

2016






168,129

174,570

181,757

181,002

 
4,891

2017







206,672

200,510

199,497

 
11,224

2018








108,342

112,152

 
19,159

2019









103,240

 
52,334

Total
 
 
 
 
 
 
 
 


$
1,153,343

 
 
Cumulative Paid Claims and Claim Adjustment Expenses, Net of Reinsurance
For the Year Ended December 31,
 
Unaudited
 
Accident Year
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2010
$
23,424

$
37,483

$
42,153

$
43,634

$
44,550

$
46,141

$
48,745

$
49,001

$
49,749

$
49,690

2011

31,402

58,702

73,142

75,778

78,357

81,560

82,094

83,169

83,250

2012


15,663

51,641

64,098

70,524

77,412

78,971

81,673

82,541

2013



36,578

74,573

92,619

101,539

104,326

106,045

107,606

2014




38,803

66,869

82,172

88,317

91,452

93,160

2015





53,477

89,153

109,090

118,603

122,621

2016






78,936

133,576

157,491

168,605

2017







72,132

141,389

171,745

2018








34,004

65,193

2019









23,051

Total
 
 
 
 
 
 
 
 


$
967,462

 
Reserves for loss and loss adjustment expenses before 2010, net of reinsurance
 
798

 
Reserves for loss and loss adjustment expenses, net of reinsurance
 
$
186,679


Reconciliation of net incurred and paid claims development to reserves for loss and loss adjustment expenses

The reconciliation of the net incurred and paid claims development tables to the reserves for losses and loss expenses in the consolidated balance sheet is as follows:
(In thousands)
December 31, 2019
Undiscounted reserves for loss and loss expenses, net of reinsurance:
 
 
 
Other liability
$
3,998,511

 
 
Workers' compensation
1,870,968

 
 
Professional liability
1,034,256

 
 
Commercial automobile
697,961

 
 
Short-tail lines
510,166

 
 
Other
92,495

 
 
  Insurance
8,204,357

 
 
Casualty
1,556,057

 
 
Monoline excess
1,280,442

 
 
Property
186,679

 
 
  Reinsurance & Monoline Excess
3,023,178

Total undiscounted reserves for loss and loss expenses, net of reinsurance
$
11,227,535


(In thousands)
December 31, 2019
Due from reinsurers on unpaid claims:
 
 
 
Other liability
$
518,759

 
 
Workers' compensation
300,966

 
 
Professional liability
509,828

 
 
Commercial automobile
24,486

 
 
Short-tail lines
243,333

 
 
Other
46,197

 
 
  Insurance
1,643,569

 
 
Casualty
113,332

 
 
Monoline excess
38,384

 
 
Property
89,966

 
 
  Reinsurance & Monoline Excess
241,682

Total due from reinsurers on unpaid claims
$
1,885,251


(In thousands)
December 31, 2019
Loss reserve discount:
 
 
 
Other liability
$

 
 
Workers' compensation
(10,976
)
 
 
Professional liability

 
 
Commercial automobile

 
 
Short-tail lines

 
 
Other

 
 
  Insurance
(10,976
)
 
 
Casualty
(107,929
)
 
 
Monoline excess
(410,632
)
 
 
Property

 
 
  Reinsurance & Monoline Excess
(518,561
)
Total loss reserve discount
$
(529,537
)
Total gross reserves for loss and loss expenses
$
12,583,249


Supplementary information regarding average historical claims duration
The following is supplementary information regarding average historical claims duration as of December 31, 2019:
Insurance
 
 
 
 
 
 
 
 
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
 
Years
1
2
3
4
5
6
7
8
9
10
Other liability
7.8
%
14.4
%
18.4
%
16.6
%
14.0
%
8.6
%
5.4
%
3.4
%
2.9
%
1.5
%
Workers' compensation
23.1
%
28.7
%
15.8
%
9.3
%
6.0
%
3.7
%
2.7
%
1.7
%
1.5
%
1.0
%
Professional liability
8.7
%
21.6
%
21.3
%
15.2
%
9.9
%
8.9
%
3.5
%
2.6
%
3.8
%
0.6
%
Commercial automobile
39.3
%
21.6
%
15.5
%
10.8
%
6.8
%
3.0
%
1.4
%
0.3
%
0.2
%
%
Short-tail lines
58.8
%
30.9
%
5.7
%
1.8
%
0.1
%
0.5
%
0.4
%
0.4
%
%
%
 
 
 
 
 
 
 
 
 
 
 
Reinsurance & Monoline Excess
 
 
 
 
 
 
 
 
Average Annual Percentage Payout of Incurred Claims by Age, Net of Reinsurance
 
Years
1
2
3
4
5
6
7
8
9
10
Casualty
6.8
%
12.3
%
14.2
%
13.1
%
11.4
%
8.9
%
6.2
%
5.0
%
3.9
%
2.9
%
Monoline excess
4.5
%
3.9
%
2.8
%
3.1
%
2.3
%
3.1
%
2.7
%
3.1
%
3.3
%
6.1
%
Property
34.9
%
31.8
%
14.6
%
5.9
%
3.6
%
2.4
%
2.6
%
0.9
%
0.8
%
%

Reconciliation of beginning and ending reserve balance

The table below provides a reconciliation of the beginning and ending reserve balances:
(In thousands)
2019
 
2018
 
2017
Net reserves at beginning of year
$
10,248,883

 
$
10,056,914

 
$
9,590,265

Net provision for losses and loss expenses:
 
 
 
 
 
Claims occurring during the current year (1)
4,057,989

 
3,926,489

 
3,963,543

Increase (decrease) in estimates for claims occurring in prior years (2)
34,079

 
6,831

 
(5,165
)
Loss reserve discount accretion
39,048

 
41,382

 
43,970

Total
4,131,116

 
3,974,702

 
4,002,348

Net payments for claims:
 

 
 

 
 

Current year
985,599

 
964,808

 
1,027,405

Prior year
2,673,803

 
2,700,077

 
2,562,550

Total
3,659,402

 
3,664,885

 
3,589,955

Foreign currency translation
(22,599
)
 
(117,848
)
 
54,256

Net reserves at end of year
10,697,998

 
10,248,883

 
10,056,914

Ceded reserve at end of year
1,885,251

 
1,717,565

 
1,613,494

Gross reserves at end of year
$
12,583,249

 
$
11,966,448

 
$
11,670,408

 
 
 
 
 
 
Net change in premiums and losses occurring in prior years:
 
 
 
 
 
(Increase) decrease in estimates for claims occurring in prior years (2)
$
(34,079
)
 
$
(6,831
)
 
$
5,165

Retrospective premium adjustments for claims occurring in prior years (3)
53,511

 
45,638

 
32,162

Net favorable premium and reserve development on prior years
$
19,432

 
$
38,807

 
$
37,327


_______________________________________
(1)
Claims occurring during the current year are net of loss reserve discounts of $20 million, $24 million and $22 million in 2019, 2018, and 2017, respectively.
(2)
The change in estimates for claims occurring in prior years is net of loss reserve discount. On an undiscounted basis, the estimates for claims occurring in prior years increased by $19 million in 2019, and decreased $4 million and $32 million in 2018 and 2017, respectively.