INDEPENDENCE LIFETABLE CONSTRUCTION

PURCHASE PRICE: 1000

AGE(y)

Ixy

Sxy

λxy ind

Dxy

Nxy

axy_ind

PAYMENT STREAM

AGE(x)

55

100,000

0.987322

0.01276

33,650.42

748,844.1

22.25363

44.9364899

55

56

98,732.15

0.989001

0.01106

32,572.34

715,193.7

21.95708

45.54338661

56

57

97,646.23

0.989673

0.010381

31,582.44

682,621.3

21.61395

46.26641343

57

58

96,637.84

0.989943

0.010108

30,643.42

651,038.9

21.24563

47.06849595

58

59

95,665.97

0.989986

0.010064

29,740.44

620,395.5

20.86033

47.93787231

59

60

94,708.01

0.989892

0.010159

28,865.32

590,655

20.46244

48.87001675

60

61

93,750.7

0.989705

0.010348

28,013.28

561,789.7

20.0544

49.86435956

61

62

92,785.53

0.989454

0.010602

27,181.26

533,776.4

19.63766

50.92256147

62

63

91,807.06

0.989153

0.010906

26,367.27

506,595.2

19.21303

52.04801895

63

64

90,811.23

0.988808

0.011255

25,569.87

480,227.9

18.781

53.24528938

64

65

89,794.87

0.988414

0.011653

24,787.94

454,658

18.34191

54.51995834

65

66

88,754.53

0.987967

0.012106

24,020.34

429,870.1

17.89608

55.87814592

66

67

87,686.54

0.98746

0.012619

23,265.99

405,849.7

17.44391

57.32659994

67

68

86,586.97

0.986891

0.013196

22,523.76

382,583.7

16.98579

58.87274996

68

69

85,451.88

0.986254

0.013841

21,792.64

360,060

16.52209

60.52501545

69

70

84,277.27

0.985547

0.014558

21,071.65

338,267.4

16.0532

62.29287286

70

71

83,059.23

0.984762

0.015355

20,359.9

317,195.7

15.57943

64.18719582

71

72

81,793.58

0.983891

0.01624

19,656.53

296,835.8

15.10113

66.22021465

72

73

80,475.98

0.982889

0.01726

18,960.67

277,179.3

14.61864

68.40580518

73

74

79,098.91

0.981855

0.018312

18,270.81

258,218.6

14.13285

70.75714002

74

75

77,663.65

0.980663

0.019526

17,587.53

239,947.8

13.64306

73.29732669

75

76

76,161.88

0.979333

0.020884

16,909.26

222,360.3

13.15021

76.0444313

76

77

74,587.82

0.977847

0.022402

16,235.09

205,451

12.65475

79.02171141

77

78

72,935.47

0.976181

0.024108

15,564.15

189,215.9

12.15716

82.25603251

78

79

71,198.19

0.974307

0.026029

14,895.51

173,651.8

11.65799

85.77805174

79

80

69,368.91

0.97219

0.028204

14,228.24

158,756.3

11.15783

89.6231621

80

81

67,439.76

0.969793

0.030673

13,561.32

144,528

10.65737

93.8318065

81

82

65,402.58

0.967065

0.03349

12,893.8

130,966.7

10.15734

98.4509591

82

83

63,248.52

0.963949

0.036716

12,224.64

118,072.9

9.658598

103.5346902

83

84

60,968.37

0.960375

0.040431

11,552.88

105,848.3

9.162069

109.145658

84

85

58,552.52

0.95626

0.044726

10,877.55

94,295.38

8.668808

115.3561146

85

86

55,991.43

0.951503

0.049713

10,197.81

83,417.83

8.179977

122.2497347

86

87

53,276.01

0.945982

0.055531

9512.983

73,220.02

7.696852

129.9232519

87

88

50,398.16

0.939553

0.062351

8822.66

63,707.04

7.220842

138.4879971

88

89

47,351.75

0.932044

0.070376

8126.821

54,884.38

6.753487

148.0716653

89

90

44,133.89

0.923251

0.079854

7426.03

46,757.56

6.29644

158.8198986

90

91

40,746.67

0.912941

0.091084

6721.659

39,331.53

5.851461

170.8975

91

92

37,199.3

0.900837

0.104431

6016.155

32,609.87

5.420384

184.4888

92

93

33,510.49

0.886635

0.120322

5313.306

26,593.71

5.005116

199.7956

93

94

29,711.59

0.869999

0.139263

4618.593

21,280.41

4.607552

217.035

94

95

25,849.06

0.85058

0.161837

3939.385

16,661.81

4.229547

236.4319

95

96

21,986.68

0.827954

0.188798

3285.059

12,722.43

3.872816

258.2101

96

97

18,203.96

0.802014

0.22063

2666.546

9437.37

3.539173

282.5519

97

98

14,599.82

0.772303

0.258379

2096.674

6770.823

3.229317

309.663

98

99

11,275.48

0.738749

0.302797

1587.516

4674.15

2.944316

339.6374

99

100

8329.751

0.701364

0.354728

1149.78

3086.634

2.684542

372.503

100

101

5842.187

0.660341

0.414999

790.6024

1936.854

2.449845

408.189

101

102

3857.834

0.616061

0.48441

511.8304

1146.251

2.239514

446.5255

102

103

2376.66

0.569077

0.56374

309.1358

634.4207

2.05224

487.2725

103

104

1352.502

0.519526

0.654838

172.4726

325.2849

1.88601

530.2199

104

105

702.6603

0.469801

0.755445

87.84709

152.8124

1.739527

574.869

105

106

330.1108

0.419039

0.869791

40.46146

64.96529

1.605609

622.8165

106

107

138.3293

0.368476

0.99838

16.62247

24.50383

1.474139

678.3623

107

108

50.97098

0.318742

1.143375

6.004881

7.881357

1.312492

761.9096

108

109

16.24657

0.27038

1.307927

1.876476

1.876476

1

1000

109

INDEPENDENCE LIFETABLE CONSTRUCTION

PURCHASE PRICE: 1000

AGE(y)

Ixy

Sxy

μxy frailty

Dxy

Nxy

axy_frailty

PAYMENT STREAM

AGE(x)

55

100,000

0.956844

0.044115

33,650.42

447,990.3

13.31306

75.11419

55

56

95,684.42

0.956038

0.044957

31,566.88

414,339.8

13.12578

76.18596

56

57

91,477.96

0.955202

0.045832

29,587.39

382,773

12.93703

77.2975

57

58

87,379.94

0.954334

0.046742

27,707.78

353,185.6

12.7468

78.45107

58

59

83,389.65

0.953432

0.047687

25,924

325,477.8

12.55507

79.64907

59

60

79,506.39

0.952495

0.048671

24,232.14

299,553.8

12.36184

80.89411

60

61

75,729.42

0.951519

0.049695

22,628.42

275,321.6

12.16708

82.18902

61

62

72,058.01

0.950504

0.050763

21,109.19

252,693.2

11.97077

83.53683

62

63

68,491.4

0.949445

0.051877

19,670.95

231,584

11.7729

84.94086

63

64

65,028.85

0.948341

0.053041

18,310.28

211,913.1

11.57345

86.40468

64

65

61,669.55

0.947189

0.054256

17,023.92

193,602.8

11.3724

87.93221

65

66

58,412.73

0.945985

0.055528

15,808.7

176,578.9

11.16973

89.5277

66

67

55,257.57

0.944726

0.056861

14,661.56

160,770.2

10.96542

91.1958

67

68

52,203.26

0.943407

0.058257

13,579.57

146,108.6

10.75945

92.94159

68

69

49,248.94

0.942026

0.059723

12,559.87

132,529

10.55179

94.77068

69

70

46,393.77

0.940576

0.061263

11,599.72

119,969.2

10.34242

96.6892

70

71

43,636.86

0.939053

0.062883

10,696.49

108,369.5

10.13131

98.70393

71

72

40,977.33

0.937451

0.06459

9847.62

97,672.96

9.918434

100.8224

72

73

38,414.25

0.935765

0.066391

9050.652

87,825.34

9.703759

103.0528

73

74

35,946.71

0.933986

0.068294

8303.217

78,774.69

9.48725

105.4046

74

75

33,573.73

0.932108

0.070306

7603.03

70,471.47

9.268867

107.8881

75

76

31,294.35

0.930122

0.07244

6947.889

62,868.44

9.048568

110.5147

76

77

29,107.56

0.928018

0.074704

6335.671

55,920.56

8.826304

113.2977

77

78

27,012.35

0.925786

0.077112

5764.331

49,584.89

8.602019

116.2518

78

79

25,007.65

0.923413

0.079678

5231.898

43,820.55

8.375651

119.3937

79

80

23,092.4

0.920887

0.082418

4736.475

38,588.66

8.147125

122.7427

30

81

21,265.48

0.918191

0.08535

4276.232

33,852.18

7.916357

126.3207

81

82

19,525.77

0.915308

0.088495

3849.409

29,575.95

7.683245

130.1533

82

83

17,872.09

0.912218

0.091876

3454.308

25,726.54

7.447669

134.2702

83

84

16,303.24

0.908899

0.095522

3089.296

22,272.23

7.209484

138.7062

84

85

14,817.99

0.905323

0.099464

2752.801

19,182.94

6.968515

143.5026

85

86

13,415.07

0.90146

0.103739

2443.308

16,430.14

6.724546

148.7089

36

87

12,093.15

0.897275

0.108393

2159.358

13,986.83

6.477309

154.3851

87

88

10,850.89

0.892726

0.113476

1899.547

11,827.47

6.226468

160.6047

88

89

9686.864

0.887762

0.119051

1662.524

9927.922

5.971597

167.4594

89

90

8599.633

0.882327

0.125193

1446.986

8265.398

5.712147

175.0655

90

91

7587.685

0.876348

0.131992

1251.681

6818.412

5.447404

183.5737

91

92

6649.455

0.869743

0.139558

1075.401

5566.731

5.176426

193.1835

92

93

5783.314

0.862406

0.148029

916.982

4491.33

4.897948

204.1671

93

94

4987.565

0.845001

0.157576

775.3048

3574.348

4.61025

216.908

94

95

4214.5

0.834576

0.168417

642.2878

2799.044

4.357927

229.4669

95

96

3517.318

0.82268

0.180832

525.5272

2156.756

4.103985

243.6656

96

97

2893.626

0.808983

0.195189

423.8632

1631.229

3.848479

259.8429

97

98

2340.894

0.793049

0.211977

336.1746

1207.366

3.591484

278.4365

98

99

1856.444

0.774291

0.23187

261.3755

871.1909

3.3331

300.021

99

100

1437.429

0.751898

0.255807

198.4125

609.8154

3.073472

325.3649

100

101

1080.8

0.724725

0.285154

146.2608

411.4029

2.812803

355.5173

101

102

783.2826

0.6911

0.321963

103.9204

265.142

2.551394

391.9425

102

103

541.3263

0.648499

0.369471

70.41114

161.2216

2.289717

436.7352

103

104

351.0496

0.592961

0.433095

44.76624

90.81045

2.028548

492.9635

104

105

208.1588

0.518012

0.522626

26.02416

46.04421

1.769287

565.1995

105

106

107.8287

0.41282

0.657758

13.21649

20.02004

1.514778

660.1627

106

107

44.5138

0.260909

0.884744

5.349046

6.803557

1.27192

786.2131

107

108

11.61405

0.064307

1.343584

1.368249

1.454511

1.063046

940.6933

108

109

0.746861

1

2.744092

0.086262

0.086262

1

1000

109