[Table of Contents] [List of Tables]

SOCIAL SECURITY
DISABILITY INSURANCE PROGRAM
WORKER EXPERIENCE

ACTUARIAL STUDY NO. 114

by Tim Zayatz, A.S.A.


Termination Study by Select Age and Duration

 

Table 9A.--DI Male Disabled Worker Probability of Death or Recovery

(1991-1995 Social Security disability experience)


Select
age


Duration of disability


Attained
age


0


1


2


3


4


5


6


7


8


9


10+


20

0.027442

0.029106

0.022793

0.031940

0.055874

0.057916

0.049452

0.040974

0.034212

0.028790

0.027437

30

21

0.031323

0.032397

0.024987

0.032395

0.053973

0.055075

0.046255

0.038724

0.031788

0.027085

0.024672

31

22

0.035486

0.036267

0.027634

0.032982

0.052088

0.052284

0.043345

0.036459

0.029543

0.025531

0.021921

32

23

0.040128

0.041373

0.030919

0.034016

0.050467

0.049546

0.041111

0.034319

0.027871

0.024108

0.019744

33

24

0.045924

0.047758

0.035151

0.035367

0.049273

0.047086

0.039399

0.032683

0.026925

0.023171

0.018449

34

 

 

 

 

 

 

 

 

 

 

 

 

 

25

0.053186

0.055369

0.040081

0.037193

0.048086

0.044786

0.037680

0.031609

0.026544

0.022600

0.017627

35

26

0.061092

0.063038

0.044899

0.038849

0.046558

0.042820

0.036305

0.030975

0.026276

0.022199

0.016834

36

27

0.068882

0.069438

0.048792

0.040001

0.045262

0.041217

0.034958

0.030397

0.026104

0.022053

0.016205

37

28

0.075351

0.074696

0.051683

0.040731

0.044037

0.039921

0.033967

0.029883

0.025798

0.022092

0.016005

38

29

0.080310

0.078682

0.054072

0.040908

0.043090

0.038729

0.033424

0.029562

0.025536

0.022233

0.016108

39

 

 

 

 

 

 

 

 

 

 

 

 

 

30

0.083608

0.081412

0.055433

0.041204

0.042327

0.037812

0.033075

0.029181

0.025457

0.022332

0.016633

40

31

0.085673

0.082298

0.056017

0.041530

0.041743

0.037034

0.032465

0.028803

0.025539

0.022480

0.017296

41

32

0.087628

0.082856

0.056240

0.041433

0.041054

0.036471

0.032040

0.028472

0.025894

0.022873

0.017642

42

33

0.088415

0.082699

0.056062

0.041302

0.040492

0.036417

0.031660

0.028232

0.025831

0.023237

0.017768

43

34

0.088717

0.081964

0.055536

0.041265

0.040006

0.036025

0.031601

0.028043

0.025719

0.023461

0.018369

44

 

 

 

 

 

 

 

 

 

 

 

 

 

35

0.089125

0.081197

0.054592

0.041260

0.039835

0.035698

0.031614

0.027992

0.025859

0.023695

0.019243

45

36

0.088946

0.080507

0.053840

0.040726

0.039518

0.035275

0.031513

0.027926

0.026202

0.024285

0.020431

46

37

0.088777

0.079777

0.052997

0.040013

0.038769

0.035020

0.031344

0.027747

0.026488

0.025031

0.021685

47

38

0.088886

0.078173

0.051576

0.038927

0.037717

0.034680

0.031236

0.027960

0.026675

0.025358

0.022308

48

39

0.089204

0.076253

0.049471

0.037789

0.037045

0.034227

0.031218

0.028545

0.027055

0.025665

0.022810

49

 

 

 

 

 

 

 

 

 

 

 

 

 

40

0.089006

0.074242

0.047492

0.036567

0.036414

0.034190

0.031235

0.029138

0.027877

0.026374

0.023930

50

41

0.088355

0.072017

0.045752

0.035587

0.035911

0.033666

0.031598

0.030088

0.029274

0.027879

0.025343

51

42

0.087305

0.069776

0.044690

0.035178

0.035277

0.033169

0.032097

0.031088

0.030966

0.030215

0.027095

52

43

0.086657

0.067899

0.043875

0.035264

0.035191

0.033191

0.032622

0.032064

0.032574

0.032345

0.028872

53

44

0.086564

0.066260

0.043496

0.035315

0.035498

0.033730

0.033178

0.033094

0.033911

0.033885

0.030932

54

 

 

 

 

 

 

 

 

 

 

 

 

 

45

0.087039

0.064487

0.042958

0.035665

0.036120

0.034576

0.033707

0.034190

0.035239

0.035447

0.032688

55

46

0.088594

0.063458

0.042535

0.036402

0.036657

0.035436

0.034818

0.035829

0.036793

0.037263

0.034418

56

47

0.089847

0.062883

0.042614

0.036925

0.037350

0.036439

0.036268

0.037512

0.038597

0.039389

0.036396

57

48

0.089618

0.061370

0.042544

0.037082

0.038429

0.037721

0.037992

0.039094

0.040252

0.041761

0.038999

58

49

0.087654

0.059344

0.042145

0.036831

0.039433

0.038742

0.039933

0.040265

0.041788

0.043819

0.041249

59

 

 

 

 

 

 

 

 

 

 

 

 

 

50

0.085444

0.057545

0.041658

0.036838

0.039872

0.040410

0.041658

0.041558

0.043405

0.045619

0.043419

60

51

0.088732

0.058076

0.042520

0.038287

0.040836

0.042232

0.043359

0.043637

0.045529

0.047834

0.046361

61

52

0.091712

0.058803

0.043260

0.039648

0.042206

0.044080

0.044612

0.045918

0.048181

0.049325

0.049084

62

53

0.092661

0.058620

0.043345

0.040599

0.043699

0.045758

0.046547

0.047931

0.050348

0.049009

0.045607

63

54

0.089688

0.057506

0.043155

0.041221

0.045029

0.047338

0.048589

0.049042

0.050299

0.046441

0.033750

64

 

 

 

 

 

 

 

 

 

 

 

 

 

55

0.085187

0.056269

0.042626

0.041970

0.046336

0.048467

0.049423

0.049144

0.047532

0.043780

--

65

56

0.086726

0.057250

0.044686

0.043978

0.048470

0.049585

0.049310

0.047200

0.044217

--

--

66

57

0.088560

0.059108

0.047908

0.046662

0.049815

0.049557

0.046454

0.043859

--

--

--

67

58

0.091139

0.061693

0.050872

0.049157

0.049631

0.046368

0.042656

--

--

--

--

68

59

0.092950

0.064305

0.052771

0.049890

0.045526

0.041570

--

--

--

--

--

69

 

 

 

 

 

 

 

 

 

 

 

 

 

60

0.096797

0.066905

0.053618

0.047840

0.039885

--

--

--

--

--

--

70

61

0.109925

0.071874

0.052839

0.043336

--

--

--

--

--

--

--

71

62

0.122388

0.074350

0.049549

--

--

--

--

--

--

--

--

72

63

0.128150

0.073014

--

--

--

--

--

--

--

--

--

73

64

0.120377

--

--

--

--

--

--

--

--

--

--

74


Notes:
(1) Probability of decrement in a multiple-decrement environment. Select age denotes age last birthday at entitlement.
(2) The quantity at duration t represents the probability of death or recovery during the ( t +1) year of entitlement for those lives originally entitled to disability benefits at select age [ x ] and who are currently attained age [ x ]+ t.
(3) Probabilities are read across the row for durations 0-10, and down the ultimate column ("10+") for durations greater than 10.
(4) The probabilities shown have been graduated using the Whittaker-Henderson Type B two-dimensional graduation methodology. See the appendix for details.

 

Table 9B.--DI Female Disabled Worker Probability of Death or Recovery

(1991-1995 Social Security disability experience)


Select
age


Duration of disability


Attained
age


0


1


2


3


4


5


6


7


8


9


10+


20

0.021718

0.022571

0.020258

0.028350

0.050597

0.054008

0.046081

0.038700

0.029978

0.025664

0.021051

30

21

0.024014

0.024533

0.021027

0.027872

0.047402

0.049442

0.042249

0.035644

0.028379

0.024248

0.019852

31

22

0.026125

0.026489

0.021845

0.027612

0.044509

0.045132

0.038651

0.032865

0.026781

0.022839

0.018492

32

23

0.028126

0.028431

0.022762

0.027431

0.041979

0.041201

0.035486

0.030660

0.025335

0.021648

0.017147

33

24

0.029742

0.030112

0.023585

0.027326

0.039643

0.037895

0.033109

0.029006

0.024246

0.020920

0.016022

34

 

 

 

 

 

 

 

 

 

 

 

 

 

25

0.031242

0.031493

0.024047

0.026775

0.037594

0.035444

0.031220

0.028039

0.023647

0.020535

0.015412

35

26

0.032796

0.032693

0.024279

0.026139

0.035768

0.033699

0.029790

0.027275

0.023502

0.020390

0.015286

36

27

0.034495

0.033866

0.024617

0.025274

0.034185

0.032414

0.028761

0.026538

0.023590

0.020301

0.015271

37

28

0.036233

0.035136

0.024962

0.024530

0.032641

0.031332

0.028134

0.025962

0.023786

0.020275

0.015233

38

29

0.037977

0.036041

0.025189

0.024040

0.031210

0.030401

0.027539

0.025697

0.023993

0.020474

0.015515

39

 

 

 

 

 

 

 

 

 

 

 

 

 

30

0.039505

0.036643

0.025266

0.023656

0.030051

0.029654

0.026774

0.025681

0.023989

0.020649

0.016115

40

31

0.041028

0.037230

0.025512

0.023391

0.029239

0.029148

0.026058

0.025814

0.023653

0.020876

0.016376

41

32

0.042508

0.038004

0.025798

0.023006

0.028470

0.028988

0.025732

0.025673

0.023280

0.021151

0.016495

42

33

0.043497

0.038637

0.025976

0.022607

0.027667

0.028786

0.025478

0.025357

0.023250

0.021352

0.016844

43

34

0.044961

0.039150

0.026124

0.022541

0.026838

0.028473

0.025382

0.024859

0.023296

0.021439

0.017240

44

 

 

 

 

 

 

 

 

 

 

 

 

 

35

0.046672

0.039545

0.026317

0.022267

0.026232

0.028132

0.025408

0.024293

0.023052

0.021473

0.017312

45

36

0.047992

0.040393

0.026491

0.022065

0.026179

0.027703

0.025431

0.023763

0.022365

0.021453

0.017488

46

37

0.049220

0.041340

0.026830

0.022147

0.026533

0.027334

0.025236

0.023422

0.021703

0.021468

0.017956

47

38

0.051410

0.042130

0.027171

0.022312

0.026623

0.027108

0.025098

0.023336

0.021292

0.021324

0.018526

48

39

0.053361

0.042508

0.027580

0.022342

0.026569

0.026968

0.025312

0.023403

0.021281

0.021175

0.018598

49

 

 

 

 

 

 

 

 

 

 

 

 

 

40

0.055105

0.042856

0.027726

0.022279

0.026444

0.026865

0.025546

0.023544

0.021635

0.021184

0.018758

50

41

0.057005

0.043269

0.027594

0.022394

0.026475

0.026306

0.025550

0.023780

0.022393

0.021663

0.019157

51

42

0.059177

0.043607

0.027424

0.022636

0.026316

0.025590

0.025411

0.024103

0.023341

0.022576

0.019785

52

43

0.060686

0.044087

0.027413

0.022933

0.026193

0.024876

0.024939

0.024207

0.024145

0.023763

0.020878

53

44

0.062305

0.044649

0.027840

0.023333

0.026439

0.024914

0.024568

0.024321

0.025011

0.024735

0.022019

54

 

 

 

 

 

 

 

 

 

 

 

 

 

45

0.064157

0.045445

0.028419

0.023691

0.026777

0.025242

0.024431

0.024803

0.025827

0.025855

0.023069

55

46

0.065643

0.045802

0.028646

0.024109

0.026738

0.025862

0.024602

0.025520

0.026474

0.026807

0.023741

56

47

0.066688

0.045825

0.028888

0.024258

0.026356

0.026375

0.025108

0.026273

0.027151

0.027607

0.024640

57

48

0.066993

0.045204

0.028942

0.024709

0.026097

0.026743

0.025879

0.026678

0.027750

0.028440

0.025981

58

49

0.066292

0.044203

0.029133

0.025218

0.026117

0.026903

0.026577

0.027285

0.028406

0.029168

0.027505

59

 

 

 

 

 

 

 

 

 

 

 

 

 

50

0.065222

0.043745

0.029378

0.025517

0.026554

0.027202

0.027290

0.027984

0.029130

0.029946

0.028883

60

51

0.067237

0.044754

0.029985

0.026516

0.027236

0.028145

0.028551

0.029112

0.030483

0.030992

0.030052

61

52

0.069077

0.045933

0.030844

0.027758

0.028698

0.029708

0.030275

0.030717

0.032009

0.031841

0.030781

62

53

0.070093

0.046137

0.031905

0.028715

0.030365

0.031146

0.031904

0.032197

0.033166

0.031584

0.028827

63

54

0.068631

0.045661

0.032276

0.029598

0.031816

0.032576

0.032864

0.032781

0.032775

0.030447

0.022952

64

 

 

 

 

 

 

 

 

 

 

 

 

 

55

0.067472

0.045369

0.033245

0.030643

0.032986

0.033574

0.033324

0.032374

0.031227

0.029708

--

65

56

0.068936

0.046680

0.035263

0.032392

0.034320

0.034033

0.032930

0.030858

0.029988

--

--

66

57

0.071001

0.048720

0.037780

0.034675

0.035040

0.033656

0.031423

0.029540

--

--

--

67

58

0.073645

0.050948

0.039457

0.036245

0.034823

0.031961

0.029999

--

--

--

--

68

59

0.076892

0.053585

0.041117

0.036481

0.033249

0.030362

--

--

--

--

--

69

 

 

 

 

 

 

 

 

 

 

 

 

 

60

0.081156

0.056412

0.042103

0.035101

0.031210

--

--

--

--

--

--

70

61

0.088398

0.060095

0.042150

0.033608

--

--

--

--

--

--

--

71

62

0.093441

0.061923

0.041426

--

--

--

--

--

--

--

--

72

63

0.095465

0.062488

--

--

--

--

--

--

--

--

--

73

64

0.092417

--

--

--

--

--

--

--

--

--

--

74


Notes:
(1) Probability of decrement in a multiple-decrement environment. Select age denotes age last birthday at entitlement.
(2) The quantity at duration t represents the probability of death or recovery during the ( t +1) year of entitlement for those lives originally entitled to disability benefits at select age [ x ] and who are currently attained age [ x ]+ t.
(3) Probabilities are read across the row for durations 0-10, and down the ultimate column ("10+") for durations greater than 10.
(4) The probabilities shown have been graduated using the Whittaker-Henderson Type B two-dimensional graduation methodology. See the appendix for details.


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July 30, 1999