Life expectancy table

Courts and appraisers can use this table to determine the valuation or present worth of life and term estates or annuities and remainders or reversionary interests, computed at several interest rates.

Section .02.16 of Chapter seventy-nine (79) of the Laws of 1947 (RCW 48.02.160) provides:

“* * * The Commissioner shall: Obtain and publish for the use of courts and appraisers throughout the state, tables showing the average expectancy of life and values of annuities and of life and term estates.”

The following tables, for determining the present worth of life estates or annuities and remainders or reversionary interests, can be used by state courts and appraisers. The tables are based on the 2001 U.S. population mortality and calculated at 3½, 4, 4½, 5, 5½, and 6 percent annual interest rates.

Tables I.A. through I.F. give the basis for valuing life estates or annuities, the proceeds of which the beneficiary enjoys during his or her life. These tables are applicable only where continuation of the annuity is dependent upon a single life. Where two or more lives are involved, a special calculation will be required, using supplementary factors derived from the 2001 U.S. population mortality.

Tables II.A. through II.F. relate to term estates or annuities-certain, which are payable irrespective of continuation of life, but terminable at the end of a certain period stated in the provisions of the instrument creating the estate.

Mike Kreidler
Insurance Commissioner

Table I.A. Single-life, 3½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

0.09846

0.09498

0.09778

0.10086

0.10412

0.10754

0.11114

0.11487

0.11876

0.12277

0.12692

0.13121

0.13563

0.14020

0.14489

0.14968

0.15452

0.15933

0.16411

0.16883

0.17358

0.17851

0.18351

0.18875

0.19422

0.19989

0.20582

0.21191

25.7587

25.8582

25.7780

25.6903

25.5969

25.4992

25.3966

25.2899

25.1789

25.0643

24.9456

24.8233

24.6968

24.5663

24.4325

24.2956

24.1573

24.0198

23.8832

23.7485

23.6129

23.4718

23.3290

23.1793

23.0230

22.8613

22.6918

22.5178

74.44

74.00

73.04

72.07

71.09

70.10

69.12

68.13

67.14

66.15

65.16

64.17

63.18

62.20

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

0.07993

0.07695

0.07920

0.08170

0.08435

0.08713

0.09004

0.09306

0.09618

0.09944

0.10279

0.10628

0.10989

0.11360

0.11743

0.12135

0.12537

0.12943

0.13357

0.13787

0.14232

0.14691

0.15164

0.15657

0.16163

0.16687

0.17228

0.17788

26.2881

26.3731

26.3088

26.2376

26.1619

26.0824

25.9992

25.9131

25.8237

25.7308

25.6349

25.5352

25.4323

25.3262

25.2168

25.1048

24.9899

24.8741

24.7557

24.6328

24.5058

24.3746

24.2396

24.0988

23.9542

23.8044

23.6500

23.4900

79.78

79.27

78.30

77.33

76.34

75.36

74.37

73.38

72.39

71.40

70.41

69.42

68.43

67.44

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

 

Table I.A.  Single-life, 3½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

0.21826

0.22480

0.23160

0.23860

0.24587

0.25336

0.26102

0.26889

0.27692

0.28522

0.29365

0.30227

0.31114

0.32020

0.32951

0.33902

0.34868

0.35852

0.36856

0.37882

0.38919

0.39975

0.41054

0.42153

0.43283

0.44431

0.45613

0.46787

0.48014

22.3363

22.1497

21.9553

21.7554

21.5477

21.3336

21.1148

20.8900

20.6606

20.4235

20.1826

19.9363

19.6830

19.4241

19.1582

18.8866

18.6108

18.3295

18.0427

17.7496

17.4534

17.1517

16.8434

16.5295

16.2069

15.8787

15.5412

15.2058

14.8552

48.07

47.14

46.20

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

37.86

36.95

36.05

35.15

34.25

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

0.18364

0.18958

0.19571

0.20202

0.20857

0.21526

0.22214

0.22922

0.23649

0.24395

0.25161

0.25943

0.26745

0.27568

0.28417

0.29285

0.30172

0.31080

0.32012

0.32969

0.33950

0.34958

0.35983

0.37035

0.38117

0.39211

0.40330

0.41460

0.42636

23.3253

23.1556

22.9805

22.8002

22.6131

22.4220

22.2254

22.0232

21.8155

21.6024

21.3836

21.1603

20.9311

20.6962

20.4536

20.2055

19.9522

19.6926

19.4266

19.1530

18.8729

18.5848

18.2922

17.9916

17.6826

17.3699

17.0503

16.7275

16.3915

52.80

51.83

50.87

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19

42.24

41.30

40.37

39.43

38.50

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79


Table I.A.  Single-life, 3½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

0.49231

0.50461

0.51682

0.52952

0.54204

0.55479

0.56751

0.58031

0.59312

0.60593

0.61887

0.63170

0.64452

0.65728

0.67009

0.68283

0.69537

0.70770

0.72004

0.73214

0.74412

0.75596

0.76748

0.77868

0.79004

0.80022

0.81115

0.82093

0.83038

14.5077

14.1562

13.8073

13.4446

13.0870

12.7228

12.3594

11.9935

11.6276

11.2618

10.8922

10.5256

10.1593

9.7948

9.4288

9.0649

8.7067

8.3544

8.0018

7.6562

7.3141

6.9759

6.6468

6.3267

6.0023

5.7114

5.3992

5.1199

4.8499

22.40

21.61

20.84

20.07

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

13.77

13.14

12.52

11.92

11.34

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

0.43812

0.45004

0.46203

0.47438

0.48682

0.49945

0.51213

0.52491

0.53785

0.55095

0.56414

0.57738

0.59075

0.60421

0.61778

0.63139

0.64505

0.65864

0.67230

0.68591

0.69939

0.71288

0.72609

0.73916

0.75211

0.76442

0.77716

0.78893

0.80017

16.0556

15.7150

15.3727

15.0197

14.6644

14.3036

13.9413

13.5762

13.2066

12.8323

12.4555

12.0772

11.6953

11.3109

10.9231

10.5343

10.1442

9.7560

9.3658

8.9768

8.5919

8.2065

7.8290

7.4557

7.0858

6.7341

6.3703

6.0340

5.7130

25.93

25.09

24.25

23.42

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18

16.46

15.74

15.03

14.34

13.66

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86


Table I.A.  Single-life, 3½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality.

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

0.83937

0.84789

0.85596

0.86358

0.87077

0.87753

0.88388

0.88982

0.89539

0.90058

0.90542

0.90992

0.91410

0.91797

0.92154

0.92483

0.92786

0.93063

0.93315

0.93545

0.93752

0.93938

0.94104

0.94251

0.94379

0.94491

0.94589

0.94676

0.94760

4.5932

4.3496

4.1191

3.9013

3.6961

3.5030

3.3216

3.1517

2.9928

2.8444

2.7062

2.5776

2.4583

2.3478

2.2457

2.1517

2.0653

1.9861

1.9140

1.8484

1.7892

1.7360

1.6886

1.6467

1.6100

1.5780

1.5502

1.5253

1.5012

5.36

5.05

4.75

4.47

4.21

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

2.57

2.45

2.34

2.24

2.15

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

0.81091

0.82116

0.83092

0.84017

0.84893

0.85720

0.86499

0.87231

0.87917

0.88560

0.89159

0.89718

0.90237

0.90719

0.91165

0.91576

0.91955

0.92302

0.92620

0.92909

0.93172

0.93409

0.93622

0.93811

0.93980

0.94129

0.94261

0.94381

0.94498

5.4060

5.1131

4.8345

4.5702

4.3200

4.0838

3.8613

3.6521

3.4560

3.2725

3.1011

2.9415

2.7932

2.6556

2.5283

2.4108

2.3027

2.2034

2.1127

2.0300

1.9550

1.8872

1.8265

1.7722

1.7241

1.6816

1.6438

1.6094

1.5759

6.44

6.05

5.68

5.33

5.01

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10

2.94

2.79

2.65

2.52

2.40

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68


Table I.A.  Single-life, 3½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

115

116

117

118

119

0.94856

0.94993

0.95228

0.95674

0.96554

1.4737

1.4347

1.3676

1.2401

0.9886

1.57

1.52

1.44

1.30

1.02

0.94628

0.94802

0.95078

0.95572

0.96504

1.5388

1.4893

1.4103

1.2692

1.0029

1.64

1.58

1.49

1.33

1.04


Table I.B.  Single-life, 4 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

0.11441

0.11870

0.12303

0.12733

0.13160

0.13579

0.14001

0.14442

0.14890

0.15361

0.15857

0.16373

0.16916

0.17476

0.18063

0.18670

0.19304

0.19960

0.20644

0.21353

0.22079

0.22828

0.23596

0.24392

0.25203

0.26035

0.26894

0.27776

0.28684

0.29616

22.1403

22.0332

21.9249

21.8174

21.7107

21.6059

21.5004

21.3901

21.2783

21.1604

21.0365

20.9077

20.7719

20.6319

20.4851

20.3335

20.1749

20.0110

19.8399

19.6629

19.4813

19.2940

19.1022

18.9033

18.7005

18.4925

18.2777

18.0574

17.8303

17.5975

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

48.07

47.14

46.20

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

37.86

36.95

36.05

35.15

34.25

0.08956

0.09294

0.09643

0.09994

0.10354

0.10729

0.11119

0.11523

0.11941

0.12379

0.12830

0.13301

0.13787

0.14294

0.14818

0.15359

0.15921

0.16501

0.17107

0.17727

0.18367

0.19028

0.19710

0.20413

0.21136

0.21877

0.22640

0.23425

0.24240

0.25075

22.7615

22.6769

22.5898

22.5020

22.4121

22.3182

22.2209

22.1198

22.0154

21.9058

21.7930

21.6755

21.5538

21.4272

21.2963

21.1609

21.0206

20.8756

20.7242

20.5692

20.4091

20.2439

20.0734

19.8978

19.7170

19.5319

19.3411

19.1448

18.9413

18.7324

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

52.80

51.83

50.87

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19

42.24

41.30

40.37

39.43

38.50


Table I.B.  Single-life, 4 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

0.30564

0.31535

0.32527

0.33546

0.34577

0.35632

0.36713

0.37818

0.38957

0.40120

0.41321

0.42517

0.43773

0.45021

0.46286

0.47545

0.48860

0.50158

0.51485

0.52813

0.54153

0.55498

0.56845

0.58210

0.59568

0.60928

0.62285

0.63651

0.65013

0.66357

17.3604

17.1179

16.8697

16.6152

16.3574

16.0938

15.8236

15.5475

15.2626

14.9719

14.6718

14.3729

14.0589

13.7471

13.4307

13.1161

12.7875

12.4629

12.1312

11.7993

11.4643

11.1283

10.7916

10.4503

10.1109

9.7711

9.4319

9.0904

8.7499

8.4141

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

22.40

21.61

20.84

20.07

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

13.77

13.14

12.52

11.92

11.34

0.25932

0.26812

0.27718

0.28653

0.29614

0.30606

0.31617

0.32660

0.33736

0.34829

0.35949

0.37084

0.38271

0.39460

0.40670

0.41889

0.43151

0.44425

0.45723

0.47030

0.48351

0.49693

0.51056

0.52432

0.53817

0.55220

0.56637

0.58070

0.59511

0.60961

18.5184

18.2983

18.0719

17.8382

17.5980

17.3499

17.0972

16.8366

16.5676

16.2945

16.0145

15.7309

15.4342

15.1369

14.8346

14.5298

14.2143

13.8959

13.5714

13.2448

12.9146

12.5793

12.2386

11.8946

11.5484

11.1977

10.8436

10.4854

10.1252

9.7627

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79

25.93

25.09

24.25

23.42

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18

16.46

15.74

15.03

14.34

13.66


Table I.B.  Single-life, 4 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

0.67681

0.69010

0.70316

0.71611

0.72895

0.74147

0.75367

0.76607

0.77719

0.78918

0.79991

0.81030

0.82020

0.82960

0.83851

0.84694

0.85490

0.86240

0.86944

0.87605

0.88224

0.88803

0.89342

0.89844

0.90311

0.90743

0.91143

0.91511

0.91850

0.92160

8.0830

7.7509

7.4246

7.1007

6.7799

6.4669

6.1619

5.8520

5.5740

5.2744

5.0062

4.7465

4.4991

4.2641

4.0413

3.8306

3.6317

3.4443

3.2682

3.1030

2.9483

2.8037

2.6688

2.5433

2.4267

2.3187

2.2188

2.1267

2.0420

1.9644

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

5.36

5.05

4.75

4.47

4.21

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

2.57

2.45

2.34

2.24

2.15

0.62408

0.63867

0.65325

0.66772

0.68224

0.69651

0.71064

0.72470

0.73807

0.75196

0.76482

0.77711

0.78889

0.80015

0.81087

0.82107

0.83073

0.83987

0.84849

0.85660

0.86421

0.87135

0.87802

0.88424

0.89002

0.89540

0.90037

0.90497

0.90920

0.91308

9.4011

9.0364

8.6720

8.3103

7.9473

7.5908

7.2374

6.8862

6.5518

6.2046

5.8833

5.5760

5.2816

5.0002

4.7321

4.4774

4.2358

4.0074

3.7920

3.5893

3.3989

3.2206

3.0539

2.8984

2.7538

2.6195

2.4952

2.3803

2.2745

2.1774

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86

6.44

6.05

5.68

5.33

5.01

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10

2.94

2.79

2.65

2.52

2.40


Table I.B.  Single-life, 4 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

0.92444

0.92701

0.92934

0.93143

0.93329

0.93494

0.93638

0.93764

0.93874

0.93971

0.94066

0.94173

0.94325

0.94588

0.95089

0.96083

1.8936

1.8293

1.7711

1.7189

1.6723

1.6311

1.5950

1.5636

1.5362

1.5118

1.4882

1.4614

1.4233

1.3577

1.2323

0.9839

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

1.57

1.52

1.44

1.30

1.02

0.91664

0.91988

0.92283

0.92549

0.92787

0.93000

0.93190

0.93357

0.93505

0.93640

0.93771

0.93916

0.94110

0.94419

0.94974

0.96027

2.0885

2.0074

1.9338

1.8674

1.8077

1.7544

1.7072

1.6654

1.6283

1.5946

1.5619

1.5256

1.4772

1.3999

1.2611

0.9980

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68

1.64

1.58

1.49

1.33

1.04


Table I.C.  Single-life, 4½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

0

0.05855

20.9214

74.44

0.04482

21.2266

79.78


Table I.C.  Single-life, 4½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.05391

0.05579

0.05793

0.06026

0.06274

0.06538

0.06816

0.07109

0.07413

0.07731

0.08062

0.08408

0.08767

0.09138

0.09519

0.09905

0.10287

0.10665

0.11034

0.11405

0.11796

0.12192

0.12613

0.13057

0.13522

0.14015

0.14524

0.15062

0.15619

0.16205

21.0245

20.9827

20.9351

20.8833

20.8283

20.7696

20.7079

20.6429

20.5752

20.5046

20.4310

20.3543

20.2744

20.1921

20.1074

20.0217

19.9368

19.8529

19.7709

19.6883

19.6015

19.5135

19.4201

19.3213

19.2181

19.1087

18.9955

18.8760

18.7523

18.6220

74.00

73.04

72.07

71.09

70.10

69.12

68.13

67.14

66.15

65.16

64.17

63.18

62.20

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

48.07

47.14

46.20

0.04081

0.04218

0.04379

0.04554

0.04741

0.04940

0.05148

0.05366

0.05596

0.05834

0.06086

0.06347

0.06619

0.06901

0.07191

0.07491

0.07793

0.08102

0.08427

0.08766

0.09119

0.09485

0.09871

0.10270

0.10687

0.11121

0.11576

0.12047

0.12536

0.13045

21.3156

21.2851

21.2494

21.2105

21.1689

21.1247

21.0785

21.0301

20.9790

20.9260

20.8702

20.8121

20.7518

20.6891

20.6245

20.5580

20.4909

20.4222

20.3500

20.2748

20.1964

20.1151

20.0293

19.9406

19.8478

19.7514

19.6505

19.5458

19.4371

19.3240

79.27

78.30

77.33

76.34

75.36

74.37

73.38

72.39

71.40

70.41

69.42

68.43

67.44

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

52.80

51.83

50.87


Table I.C.  Single-life, 4½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

0.16813

0.17451

0.18113

0.18795

0.19501

0.20226

0.20981

0.21753

0.22547

0.23371

0.24218

0.25095

0.25997

0.26917

0.27863

0.28833

0.29831

0.30845

0.31884

0.32954

0.34050

0.35185

0.36348

0.37553

0.38755

0.40024

0.41287

0.42571

0.43851

0.45194

18.4870

18.3453

18.1980

18.0466

17.8898

17.7287

17.5609

17.3894

17.2130

17.0300

16.8418

16.6470

16.4466

16.2420

16.0320

15.8166

15.5948

15.3695

15.1386

14.9009

14.6574

14.4052

14.1469

13.8792

13.6122

13.3302

13.0497

12.7643

12.4799

12.1816

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

37.86

36.95

36.05

35.15

34.25

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

22.40

21.61

20.84

20.07

0.13574

0.14128

0.14697

0.15287

0.15898

0.16532

0.17186

0.17862

0.18556

0.19275

0.20016

0.20788

0.21583

0.22400

0.23244

0.24114

0.25016

0.25947

0.26912

0.27898

0.28918

0.29976

0.31053

0.32160

0.33286

0.34468

0.35656

0.36867

0.38091

0.39363

19.2066

19.0835

18.9571

18.8259

18.6901

18.5494

18.4041

18.2539

18.0996

17.9401

17.7753

17.6038

17.4271

17.2456

17.0583

16.8649

16.6644

16.4576

16.2432

16.0242

15.7975

15.5625

15.3233

15.0773

14.8273

14.5645

14.3007

14.0316

13.7597

13.4770

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19

42.24

41.30

40.37

39.43

38.50

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79

25.93

25.09

24.25

23.42


Table I.C.  Single-life, 4½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

0.46523

0.47886

0.49252

0.50636

0.52027

0.53424

0.54845

0.56261

0.57683

0.59105

0.60541

0.61977

0.63396

0.64798

0.66208

0.67596

0.68977

0.70348

0.71689

0.72997

0.74331

0.75528

0.76823

0.77983

0.79108

0.80182

0.81203

0.82172

0.83091

0.83959

11.8863

11.5836

11.2800

10.9727

10.6636

10.3531

10.0375

9.7229

9.4070

9.0910

8.7719

8.4530

8.1378

7.8263

7.5130

7.2046

6.8979

6.5931

6.2954

6.0046

5.7082

5.4424

5.1546

4.8970

4.6470

4.4085

4.1816

3.9662

3.7622

3.5694

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

13.77

13.14

12.52

11.92

11.34

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

5.36

5.05

4.75

4.47

4.21

0.40651

0.41968

0.43296

0.44643

0.46015

0.47413

0.48829

0.50258

0.51710

0.53180

0.54672

0.56176

0.57694

0.59213

0.60748

0.62287

0.63818

0.65359

0.66876

0.68383

0.69885

0.71317

0.72810

0.74193

0.75518

0.76789

0.78007

0.79169

0.80275

0.81325

13.1908

12.8984

12.6032

12.3040

11.9992

11.6886

11.3740

11.0565

10.7339

10.4074

10.0760

9.7418

9.4045

9.0671

8.7260

8.3841

8.0440

7.7017

7.3646

7.0297

6.6961

6.3779

6.0463

5.7391

5.4447

5.1621

4.8917

4.6336

4.3879

4.1546

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18

16.46

15.74

15.03

14.34

13.66

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86

6.44

6.05

5.68

5.33

5.01


Table I.C.  Single-life, 4½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

0.84777

0.85547

0.86271

0.86949

0.87583

0.88176

0.88727

0.89240

0.89716

0.90156

0.90562

0.90936

0.91278

0.91591

0.91875

0.92132

0.92363

0.92570

0.92752

0.92912

0.93051

0.93172

0.93280

0.93383

0.93501

0.93669

0.93958

0.94513

0.95618

3.3875

3.2164

3.0557

2.9050

2.7640

2.6325

2.5099

2.3959

2.2903

2.1925

2.1023

2.0193

1.9432

1.8737

1.8105

1.7534

1.7021

1.6563

1.6158

1.5803

1.5494

1.5225

1.4986

1.4755

1.4494

1.4121

1.3479

1.2246

0.9791

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

2.57

2.45

2.34

2.24

2.15

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

1.57

1.52

1.44

1.30

1.02

0.82319

0.83258

0.84143

0.84975

0.85756

0.86486

0.87167

0.87802

0.88392

0.88939

0.89445

0.89911

0.90339

0.90731

0.91089

0.91414

0.91707

0.91971

0.92206

0.92415

0.92600

0.92764

0.92913

0.93057

0.93216

0.93429

0.93770

0.94384

0.95554

3.9337

3.7250

3.5284

3.3435

3.1702

3.0079

2.8565

2.7154

2.5843

2.4629

2.3506

2.2471

2.1519

2.0648

1.9853

1.9131

1.8479

1.7893

1.7370

1.6906

1.6496

1.6132

1.5801

1.5480

1.5126

1.4653

1.3896

1.2531

0.9932

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10

2.94

2.79

2.65

2.52

2.40

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68

1.64

1.58

1.49

1.33

1.04


Table I.D.  Single-life, 5 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

0.04655

0.04149

0.04302

0.04479

0.04675

0.04885

0.05111

0.05349

0.05602

0.05867

0.06145

0.06435

0.06739

0.07056

0.07385

0.07723

0.08066

0.08404

0.08737

0.09060

0.09385

0.09729

0.10077

0.10449

0.10846

0.11261

0.11705

0.12166

0.12655

0.13163

19.0692

19.1704

19.1399

19.1044

19.0653

19.0233

18.9782

18.9304

18.8798

18.8269

18.7714

18.7134

18.6527

18.5892

18.5235

18.4558

18.3873

18.3197

18.2531

18.1885

18.1235

18.0548

17.9852

17.9108

17.8315

17.7484

17.6597

17.5676

17.4699

17.3683

74.44

74.00

73.04

72.07

71.09

70.10

69.12

68.13

67.14

66.15

65.16

64.17

63.18

62.20

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

48.07

47.14

0.03473

0.03036

0.03141

0.03269

0.03410

0.03562

0.03726

0.03897

0.04079

0.04270

0.04471

0.04683

0.04904

0.05135

0.05376

0.05624

0.05881

0.06139

0.06404

0.06684

0.06976

0.07282

0.07601

0.07940

0.08290

0.08659

0.09044

0.09449

0.09870

0.10310

19.3056

19.3930

19.3720

19.3465

19.3182

19.2878

19.2551

19.2208

19.1845

19.1462

19.1061

19.0638

19.0195

18.9733

18.9251

18.8755

18.8242

18.7726

18.7196

18.6637

18.6052

18.5439

18.4802

18.4126

18.3424

18.2687

18.1917

18.1108

18.0265

17.9387

79.78

79.27

78.30

77.33

76.34

75.36

74.37

73.38

72.39

71.40

70.41

69.42

68.43

67.44

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

52.80

51.83


Table I.D.  Single-life, 5 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

0.13701

0.14260

0.14850

0.15466

0.16102

0.16762

0.17442

0.18153

0.18882

0.19634

0.20416

0.21224

0.22064

0.22930

0.23816

0.24728

0.25668

0.26638

0.27625

0.28641

0.29689

0.30767

0.31887

0.33038

0.34236

0.35432

0.36701

0.37967

0.39257

0.40546

17.2607

17.1488

17.0308

16.9077

16.7806

16.6487

16.5128

16.3705

16.2249

16.0745

15.9180

15.7564

15.5886

15.4155

15.2383

15.0558

14.8680

14.6741

14.4767

14.2736

14.0640

13.8485

13.6245

13.3944

13.1550

12.9158

12.6620

12.4090

12.1509

11.8933

46.20

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

37.86

36.95

36.05

35.15

34.25

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

22.40

21.61

20.84

0.10768

0.11247

0.11751

0.12269

0.12809

0.13371

0.13954

0.14559

0.15187

0.15833

0.16504

0.17198

0.17924

0.18675

0.19448

0.20249

0.21079

0.21942

0.22836

0.23766

0.24718

0.25708

0.26738

0.27789

0.28875

0.29980

0.31147

0.32321

0.33522

0.34739

50.87

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19

42.24

41.30

40.37

39.43

38.50

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79

25.93

25.09

24.25


Table I.D.  Single-life, 5 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

0.41904

0.43250

0.44634

0.46026

0.47439

0.48863

0.50297

0.51760

0.53220

0.54691

0.56165

0.57658

0.59154

0.60636

0.62103

0.63582

0.65041

0.66496

0.67945

0.69363

0.70751

0.72169

0.73442

0.74825

0.76063

0.77268

0.78418

0.79514

0.80557

0.81545

11.6218

11.3527

11.0758

10.7976

10.5151

10.2304

9.9436

9.6512

9.3591

9.0651

8.7703

8.4718

8.1728

7.8766

7.5833

7.2875

6.9957

6.7048

6.4151

6.1316

5.8541

5.5706

5.3161

5.0396

4.7920

4.5512

4.3211

4.1020

3.8936

3.6960

20.07

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

13.77

13.14

12.52

11.92

11.34

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

5.36

5.05

4.75

4.47

0.36009

0.37298

0.38619

0.39956

0.41315

0.42704

0.44123

0.45564

0.47023

0.48509

0.50018

0.51553

0.53107

0.54678

0.56254

0.57852

0.59458

0.61059

0.62676

0.64271

0.65859

0.67446

0.68962

0.70547

0.72017

0.73429

0.74786

0.76087

0.77330

0.78516

12.8004

12.5427

12.2785

12.0112

11.7395

11.4619

11.1781

10.8899

10.5983

10.3012

9.9995

9.6925

9.3819

9.0678

8.7526

8.4331

8.1120

7.7919

7.4687

7.1498

6.8322

6.5149

6.2118

5.8949

5.6009

5.3188

5.0475

4.7873

4.5386

4.3016

23.42

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18

16.46

15.74

15.03

14.34

13.66

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86

6.44

6.05

5.68

5.33


Table I.D.  Single-life, 5 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

0.82480

0.83363

0.84195

0.84978

0.85712

0.86399

0.87041

0.87640

0.88197

0.88714

0.89193

0.89635

0.90042

0.90415

0.90757

0.91067

0.91347

0.91600

0.91825

0.92024

0.92199

0.92351

0.92483

0.92600

0.92713

0.92841

0.93023

0.93338

0.93944

0.95157

3.5090

3.3325

3.1661

3.0097

2.8629

2.7255

2.5971

2.4773

2.3659

2.2625

2.1668

2.0784

1.9971

1.9224

1.8542

1.7922

1.7361

1.6856

1.6406

1.6008

1.5659

1.5355

1.5091

1.4856

1.4630

1.4375

1.4011

1.3382

1.2170

0.9744

4.21

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

2.57

2.45

2.34

2.24

2.15

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

1.57

1.52

1.44

1.30

1.02

0.79644

0.80713

0.81724

0.82678

0.83576

0.84420

0.85210

0.85948

0.86636

0.87276

0.87870

0.88419

0.88926

0.89392

0.89819

0.90209

0.90563

0.90883

0.91171

0.91428

0.91656

0.91858

0.92037

0.92199

0.92356

0.92529

0.92760

0.93131

0.93803

0.95087

4.0761

3.8624

3.6602

3.4694

3.2898

3.1212

2.9633

2.8157

2.6781

2.5501

2.4314

2.3216

2.2202

2.1271

2.0417

1.9637

1.8929

1.8289

1.7713

1.7199

1.6743

1.6340

1.5983

1.5658

1.5345

1.4999

1.4537

1.3795

1.2452

0.9884

5.01

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10

2.94

2.79

2.65

2.52

2.40

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68

1.64

1.58

1.49

1.33

1.04


Table I.E.  Single-life, 5½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

0.03781

0.03242

0.03364

0.03511

0.03676

0.03854

0.04047

0.04253

0.04472

0.04702

0.04945

0.05199

0.05467

0.05748

0.06040

0.06341

0.06645

0.06944

0.07238

0.07520

0.07803

0.08104

0.08408

0.08737

0.09088

0.09458

0.09857

0.10271

0.10714

0.11175

17.4946

17.5926

17.5704

17.5436

17.5137

17.4813

17.4462

17.4089

17.3690

17.3272

17.2831

17.2368

17.1881

17.1370

17.0841

17.0293

16.9740

16.9197

16.8664

16.8151

16.7636

16.7089

16.6536

16.5939

16.5301

16.4628

16.3903

16.3150

16.2346

16.1507

74.44

74.00

73.04

72.07

71.09

70.10

69.12

68.13

67.14

66.15

65.16

64.17

63.18

62.20

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

48.07

47.14

0.02760

0.02295

0.02374

0.02474

0.02588

0.02712

0.02846

0.02988

0.03139

0.03299

0.03467

0.03646

0.03834

0.04030

0.04236

0.04448

0.04668

0.04888

0.05114

0.05354

0.05606

0.05872

0.06148

0.06444

0.06751

0.07076

0.07416

0.07776

0.08151

0.08544

17.6803

17.7647

17.7504

17.7321

17.7114

17.6889

17.6645

17.6387

17.6114

17.5822

17.5517

17.5191

17.4850

17.4493

17.4119

17.3734

17.3334

17.2934

17.2523

17.2087

17.1629

17.1147

17.0644

17.0106

16.9548

16.8957

16.8339

16.7686

16.7003

16.6289

79.78

79.27

78.30

77.33

76.34

75.36

74.37

73.38

72.39

71.40

70.41

69.42

68.43

67.44

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

52.80

51.83


Table I.E.  Single-life, 5½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

0.11666

0.12180

0.12723

0.13293

0.13882

0.14496

0.15131

0.15797

0.16481

0.17190

0.17929

0.18696

0.19494

0.20320

0.21168

0.22044

0.22948

0.23884

0.24839

0.25824

0.26845

0.27897

0.28995

0.30126

0.31307

0.32489

0.33750

0.35008

0.36295

16.0614

15.9682

15.8693

15.7658

15.6587

15.5471

15.4318

15.3106

15.1863

15.0576

14.9231

14.7839

14.6388

14.4886

14.3345

14.1753

14.0111

13.8409

13.6673

13.4882

13.3027

13.1115

12.9120

12.7064

12.4917

12.2769

12.0478

11.8191

11.5852

46.20

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

37.86

36.95

36.05

35.15

34.25

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

22.40

21.61

0.08956

0.09387

0.09844

0.10315

0.10807

0.11320

0.11855

0.12412

0.12992

0.13590

0.14212

0.14860

0.15539

0.16243

0.16971

0.17727

0.18513

0.19334

0.20186

0.21077

0.21991

0.22945

0.23942

0.24961

0.26017

0.27094

0.28238

0.29391

0.30573

16.5540

16.4757

16.3927

16.3071

16.2177

16.1244

16.0271

15.9259

15.8206

15.7119

15.5987

15.4811

15.3576

15.2296

15.0973

14.9599

14.8170

14.6679

14.5130

14.3511

14.1849

14.0115

13.8304

13.6451

13.4533

13.2574

13.0495

12.8400

12.6251

50.87

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19

42.24

41.30

40.37

39.43

38.50

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79

25.93

25.09


Table I.E.  Single-life, 5½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

0.37582

0.38944

0.40296

0.41692

0.43097

0.44528

0.45974

0.47434

0.48926

0.50421

0.51928

0.53443

0.54982

0.56527

0.58060

0.59581

0.61119

0.62640

0.64159

0.65675

0.67162

0.68619

0.70113

0.71454

0.72916

0.74227

0.75504

0.76725

0.77891

11.3513

11.1037

10.8580

10.6043

10.3488

10.0888

9.8260

9.5607

9.2894

9.0178

8.7438

8.4684

8.1888

7.9080

7.6293

7.3528

7.0733

6.7970

6.5209

6.2453

5.9751

5.7102

5.4386

5.1949

4.9292

4.6909

4.4589

4.2369

4.0251

20.84

20.07

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

13.77

13.14

12.52

11.92

11.34

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

5.36

5.05

0.31774

0.33032

0.34311

0.35627

0.36962

0.38322

0.39716

0.41145

0.42600

0.44076

0.45585

0.47120

0.48688

0.50277

0.51890

0.53511

0.55160

0.56821

0.58481

0.60161

0.61823

0.63482

0.65143

0.66732

0.68400

0.69949

0.71438

0.72872

0.74249

12.4069

12.1783

11.9457

11.7065

11.4639

11.2167

10.9634

10.7036

10.4392

10.1709

9.8967

9.6176

9.3327

9.0439

8.7508

8.4561

8.1565

7.8546

7.5529

7.2474

6.9455

6.6440

6.3420

6.0532

5.7501

5.4685

5.1979

4.9372

4.6869

24.25

23.42

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18

16.46

15.74

15.03

14.34

13.66

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86

6.44

6.05


Table I.E.  Single-life, 5½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

0.79000

0.80054

0.81052

0.81995

0.82886

0.83723

0.84510

0.85248

0.85938

0.86581

0.87181

0.87737

0.88253

0.88730

0.89169

0.89571

0.89940

0.90275

0.90578

0.90851

0.91095

0.91310

0.91499

0.91664

0.91806

0.91933

0.92055

0.92192

0.92387

3.8234

3.6320

3.4505

3.2790

3.1173

2.9650

2.8220

2.6879

2.5626

2.4456

2.3366

2.2355

2.1417

2.0551

1.9753

1.9021

1.8352

1.7742

1.7191

1.6695

1.6252

1.5861

1.5517

1.5219

1.4959

1.4728

1.4507

1.4258

1.3903

4.75

4.47

4.21

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

2.57

2.45

2.34

2.24

2.15

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

1.57

1.52

0.75568

0.76828

0.78027

0.79165

0.80244

0.81263

0.82223

0.83125

0.83972

0.84763

0.85502

0.86190

0.86828

0.87419

0.87965

0.88467

0.88928

0.89349

0.89731

0.90077

0.90388

0.90666

0.90912

0.91130

0.91323

0.91498

0.91667

0.91854

0.92102

4.4472

4.2183

4.0003

3.7934

3.5974

3.4122

3.2377

3.0737

2.9199

2.7760

2.6417

2.5167

2.4007

2.2932

2.1940

2.1028

2.0190

1.9426

1.8731

1.8102

1.7537

1.7032

1.6584

1.6188

1.5837

1.5519

1.5211

1.4873

1.4421

5.68

5.33

5.01

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10

2.94

2.79

2.65

2.52

2.40

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68

1.64

1.58


Table I.E.  Single-life, 5½ percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

117

118

119

0.92726

0.93382

0.94701

1.3287

1.2095

0.9698

1.44

1.30

1.02

0.92502

0.93228

0.94625

1.3695

1.2374

0.9836

1.49

1.33

1.04

TABLE I.F.  Single-life, 6 Per Cent, Showing the Present Worth of a Reversionary Interest and of an Annuity, or Life Interest, on the Basis of 2001 United States Population Mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

0

1

2

3

4

5

6

7

8

0.03138

0.02572

0.02670

0.02792

0.02930

0.03082

0.03248

0.03425

0.03616

16.1439

16.2382

16.2219

16.2016

16.1785

16.1533

16.1256

16.0960

16.0643

74.44

74.00

73.04

72.07

71.09

70.10

69.12

68.13

67.14

0.02250

0.01764

0.01822

0.01901

0.01993

0.02094

0.02204

0.02322

0.02447

16.2918

16.3728

16.3631

16.3499

16.3347

16.3179

16.2994

16.2799

16.2590

79.78

79.27

78.30

77.33

76.34

75.36

74.37

73.38

72.39


Table I.F.  Single-life, 6 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

0.03817

0.04030

0.04254

0.04491

0.04740

0.05000

0.05268

0.05539

0.05804

0.06063

0.06309

0.06555

0.06818

0.07083

0.07372

0.07683

0.08012

0.08368

0.08740

0.09140

0.09558

0.10006

0.10475

0.10974

0.11500

0.12044

0.12614

0.13204

0.13826

0.14466

16.0308

15.9953

15.9580

15.9185

15.8769

15.8337

15.7890

15.7438

15.6997

15.6567

15.6156

15.5747

15.5308

15.4866

15.4386

15.3868

15.3319

15.2725

15.2106

15.1440

15.0743

14.9998

14.9216

14.8384

14.7509

14.6602

14.5652

14.4670

14.3633

14.2567

66.15

65.16

64.17

63.18

62.20

61.21

60.23

59.26

58.30

57.35

56.42

55.50

54.57

53.66

52.73

51.80

50.88

49.94

49.01

48.07

47.14

46.20

45.27

44.33

43.40

42.46

41.54

40.61

39.69

38.77

0.02582

0.02723

0.02875

0.03034

0.03201

0.03377

0.03559

0.03747

0.03935

0.04128

0.04334

0.04551

0.04780

0.05020

0.05278

0.05547

0.05833

0.06133

0.06452

0.06786

0.07137

0.07506

0.07894

0.08306

0.08733

0.09180

0.09648

0.10138

0.10649

0.11182

16.2366

16.2130

16.1878

16.1612

16.1333

16.1040

16.0738

16.0424

16.0111

15.9790

15.9447

15.9085

15.8703

15.8303

15.7873

15.7425

15.6949

15.6449

15.5918

15.5362

15.4778

15.4162

15.3517

15.2829

15.2118

15.1373

15.0593

14.9778

14.8927

14.8038

71.40

70.41

69.42

68.43

67.44

66.45

65.46

64.48

63.50

62.53

61.55

60.58

59.61

58.64

57.66

56.69

55.72

54.75

53.77

52.80

51.83

50.87

49.90

48.93

47.97

47.01

46.05

45.09

44.14

43.19


Table I.F.  Single-life, 6 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

0.15131

0.15827

0.16551

0.17307

0.18093

0.18900

0.19736

0.20602

0.21501

0.22421

0.23372

0.24360

0.25381

0.26451

0.27556

0.28716

0.29877

0.31121

0.32364

0.33640

0.34918

0.36276

0.37625

0.39023

0.40434

0.41874

0.43332

0.44807

0.46320

0.47838

14.1460

14.0299

13.9094

13.7834

13.6526

13.5180

13.3787

13.2345

13.0847

12.9315

12.7731

12.6085

12.4383

12.2601

12.0759

11.8828

11.6894

11.4821

11.2750

11.0624

10.8496

10.6234

10.3985

10.1657

9.9307

9.6908

9.4479

9.2020

8.9500

8.6971

37.86

36.95

36.05

35.15

34.25

33.36

32.48

31.61

30.73

29.87

29.02

28.17

27.33

26.49

25.66

24.82

24.01

23.19

22.40

21.61

20.84

20.07

19.32

18.58

17.85

17.13

16.43

15.75

15.07

14.41

0.11734

0.12310

0.12911

0.13544

0.14202

0.14884

0.15595

0.16336

0.17113

0.17923

0.18771

0.19645

0.20560

0.21519

0.22502

0.23524

0.24569

0.25684

0.26809

0.27966

0.29144

0.30382

0.31645

0.32948

0.34272

0.35625

0.37016

0.38445

0.39904

0.41389

14.7119

14.6159

14.5158

14.4103

14.3007

14.1870

14.0686

13.9451

13.8157

13.6809

13.5395

13.3939

13.2415

13.0818

12.9180

12.7477

12.5736

12.3879

12.2005

12.0076

11.8115

11.6052

11.3947

11.1777

10.9571

10.7317

10.5001

10.2619

10.0188

9.7716

42.24

41.30

40.37

39.43

38.50

37.57

36.65

35.73

34.81

33.90

32.99

32.09

31.19

30.30

29.41

28.53

27.66

26.79

25.93

25.09

24.25

23.42

22.60

21.79

21.00

20.21

19.44

18.68

17.92

17.18


Table I.F.  Single-life, 6 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

0.49373

0.50920

0.52494

0.54078

0.55653

0.57220

0.58807

0.60379

0.61954

0.63528

0.65075

0.66595

0.68157

0.69559

0.71093

0.72470

0.73813

0.75099

0.76329

0.77501

0.78615

0.79672

0.80672

0.81617

0.82507

0.83343

0.84129

0.84863

0.85550

0.86189

8.4414

8.1838

7.9216

7.6576

7.3952

7.1342

6.8698

6.6078

6.3456

6.0833

5.8255

5.5724

5.3122

5.0786

4.8229

4.5936

4.3699

4.1556

3.9508

3.7555

3.5699

3.3939

3.2272

3.0698

2.9216

2.7822

2.6514

2.5289

2.4146

2.3081

13.77

13.14

12.52

11.92

11.34

10.77

10.22

9.69

9.17

8.67

8.19

7.73

7.27

6.87

6.44

6.06

5.70

5.36

5.05

4.75

4.47

4.21

3.97

3.75

3.54

3.34

3.16

3.00

2.85

2.70

0.42909

0.44462

0.46050

0.47666

0.49309

0.50965

0.52654

0.54359

0.56068

0.57802

0.59520

0.61239

0.62966

0.64620

0.66361

0.67980

0.69539

0.71044

0.72491

0.73878

0.75205

0.76471

0.77674

0.78815

0.79894

0.80912

0.81871

0.82770

0.83612

0.84399

9.5183

9.2597

8.9949

8.7258

8.4521

8.1762

7.8949

7.6108

7.3262

7.0373

6.7510

6.4646

6.1769

5.9014

5.6113

5.3416

5.0819

4.8312

4.5902

4.3590

4.1379

3.9271

3.7267

3.5366

3.3568

3.1872

3.0275

2.8777

2.7374

2.6063

16.46

15.74

15.03

14.34

13.66

13.00

12.35

11.72

11.10

10.50

9.92

9.36

8.81

8.30

7.78

7.31

6.86

6.44

6.05

5.68

5.33

5.01

4.70

4.42

4.16

3.91

3.68

3.48

3.28

3.10


Table I.F.  Single-life, 6 percent, showing the present worth of a reversionary interest and of an annuity, or life interest, on the basis of 2001 United States population mortality

x

Male Female

A(x)

a(x)

e(x)

A(x)

a(x)

e(x)

1

Age nearest birthday

2

Reversion or present value of one dollar due immediately upon death of a person of specified age

3

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

4

Expectation of life

5

Reversion or present value of one dollar due immediately upon death of a person of specified age

6

Annuity or present value of $1.00 per annum payable annually during the life of a person of specified age

7

Expectation of life

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

0.86784

0.87335

0.87845

0.88314

0.88746

0.89140

0.89499

0.89825

0.90117

0.90378

0.90610

0.90813

0.90989

0.91142

0.91278

0.91408

0.91554

0.91762

0.92125

0.92828

0.94250

2.2090

2.1172

2.0323

1.9541

1.8822

1.8165

1.7566

1.7024

1.6537

1.6102

1.5716

1.5378

1.5085

1.4829

1.4603

1.4386

1.4143

1.3796

1.3193

1.2021

0.9652

2.57

2.45

2.34

2.24

2.15

2.07

1.99

1.93

1.87

1.81

1.77

1.72

1.69

1.66

1.63

1.60

1.57

1.52

1.44

1.30

1.02

0.85132

0.85813

0.86444

0.87027

0.87564

0.88057

0.88507

0.88917

0.89287

0.89621

0.89918

0.90183

0.90417

0.90624

0.90811

0.90992

0.91190

0.91455

0.91882

0.92662

0.94167

2.4842

2.3707

2.2656

2.1685

2.0790

1.9969

1.9219

1.8537

1.7920

1.7364

1.6868

1.6428

1.6038

1.5693

1.5381

1.5080

1.4750

1.4308

1.3596

1.2297

0.9789

2.94

2.79

2.65

2.52

2.40

2.30

2.20

2.12

2.04

1.97

1.91

1.85

1.80

1.76

1.72

1.68

1.64

1.58

1.49

1.33

1.04


Table II.A.  Present value of reversions and annuities - certain upon a 3½ percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.966184

0.933511

0.901943

0.871442

0.841973

0.813501

0.785991

0.759412

0.733731

0.708919

0.684946

0.661783

0.639404

0.617782

0.596891

0.576706

0.557204

0.538361

0.520156

0.502566

0.485571

0.469151

0.453286

0.437957

0.423147

0.408838

0.395012

0.381654

0.368748

0.356278

0.9662

1.8997

2.8016

3.6731

4.5151

5.3286

6.1145

6.8740

7.6077

8.3166

9.0016

9.6633

10.3027

10.9205

11.5174

12.0941

12.6513

13.1897

13.7098

14.2124

14.6980

15.1671

15.6204

16.0584

16.4815

16.8904

17.2854

17.6670

18.0358

18.3920


Table II.B.  Present value of reversions andnnuities - certain upon a 4 percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.961538

0.924556

0.888996

0.854804

0.821927

0.790315

0.759918

0.730690

0.702587

0.675564

0.649581

0.624597

0.600574

0.577475

0.555265

0.533908

0.513373

0.493628

0.474642

0.456387

0.438834

0.421955

0.405726

0.390121

0.375117

0.360689

0.346817

0.333477

0.320651

0.308319

0.9615

1.8861

2.7751

3.6299

4.4518

5.2421

6.0021

6.7327

7.4353

8.1109

8.7605

9.3851

9.9856

10.5631

11.1184

11.6523

12.1657

12.6593

13.1339

13.5903

14.0292

14.4511

14.8568

15.2470

15.6221

15.9828

16.3296

16.6631

16.9837

17.2920


Table II.C.  Present value of reversions and annuities - certain upon a 4½ percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.956938

0.915730

0.876297

0.838561

0.802451

0.767896

0.734828

0.703185

0.672904

0.643928

0.616199

0.589664

0.564272

0.539973

0.516720

0.494469

0.473176

0.452800

0.433302

0.414643

0.396787

0.379701

0.363350

0.347703

0.332731

0.318402

0.304691

0.291571

0.279015

0.267000

0.9569

1.8727

2.7490

3.5875

4.3900

5.1579

5.8927

6.5959

7.2688

7.9127

8.5289

9.1186

9.6829

10.2228

10.7395

11.2340

11.7072

12.1600

12.5933

13.0079

13.4047

13.7844

14.1478

14.4955

14.8282

15.1466

15.4513

15.7429

16.0219

16.2889


Table II.D.  Present value of reversions and annuities - certain upon a 5 percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion

Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.952381

0.907029

0.863838

0.822702

0.783526

0.746215

0.710681

0.676839

0.644609

0.613913

0.584679

0.556837

0.530321

0.505068

0.481017

0.458112

0.436297

0.415521

0.395734

0.376889

0.358942

0.341850

0.325571

0.310068

0.295303

0.281241

0.267848

0.255094

0.242946

0.231377

0.9524

1.8594

2.7232

3.5460

4.3295

5.0757

5.7864

6.4632

7.1078

7.7217

8.3064

8.8633

9.3936

9.8986

10.3797

10.8378

11.2741

11.6896

12.0853

12.4622

12.8212

13.1630

13.4886

13.7986

14.0939

14.3752

14.6430

14.8981

15.1411

15.3725


Table II.E.  Present value of reversions and annuities - certain upon a 5 percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion

Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.947867

0.898452

0.851614

0.807217

0.765134

0.725246

0.687437

0.651599

0.617629

0.585431

0.554911

0.525982

0.498561

0.472569

0.447933

0.424581

0.402447

0.381466

0.361579

0.342729

0.324862

0.307926

0.291873

0.276657

0.262234

0.248563

0.235605

0.223322

0.211679

0.200644

0.9479

1.8463

2.6979

3.5052

4.2703

4.9955

5.6830

6.3346

6.9522

7.5376

8.0925

8.6185

9.1171

9.5896

10.0376

10.4622

10.8646

11.2461

11.6077

11.9504

12.2752

12.5832

12.8750

13.1517

13.4139

13.6625

13.8981

14.1214

14.3331

14.5337


Table II.F.  Present value of reversions and annuities - certain upon a 6 percent basis

n V^n a(n)

1

Number of years

2

Present worth of one dollar payable at the end of a certain number of years

3

Present worth of an annuity of one dollar payable at the end of each year, for a certain number of years

Reversion

Annuity

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

0.943396

0.889996

0.839619

0.792094

0.747258

0.704961

0.665057

0.627412

0.591898

0.558395

0.526788

0.496969

0.468839

0.442301

0.417265

0.393646

0.371364

0.350344

0.330513

0.311805

0.294155

0.277505

0.261797

0.246979

0.232999

0.219810

0.207368

0.195630

0.184557

0.174110

0.9434

1.8334

2.6730

3.4651

4.2124

4.9173

5.5824

6.2098

6.8017

7.3601

7.8869

8.3838

8.8527

9.2950

9.7122

10.1059

10.4773

10.8276

11.1581

11.4699

11.7641

12.0416

12.3034

12.5504

12.7834

13.0032

13.2105

13.4062

13.5907

13.7648



Explanatory notes - Tables I.A. through I.F.

The first column shows the age of the person under consideration at his or her nearest birthday. The second column shows the present worth of one dollar payable upon death.

The third column shows the present value of an annuity of $1 per year payable at the end of each year during the lifetime of a person of the specified age, with a final fractional payment upon death commensurate with the time elapsed from the last birthday.

The fourth column shows the complete expectation of life, which is the average number of years of future life for persons of the specified age.

Adjustments for monthly payments, etc.

If a life interest in an estate or income from property is payable in semi-annual, quarterly, monthly or weekly installments, the tables should be used without adjustment.

In the case of a life annuity or an annuity-certain, if payable at the end of semi-annual, quarterly, monthly or weekly periods, the annuity value should be multiplied by the appropriate adjustment factor:

Interest rate 3.5% 4.0% 4.5% 5.0% 5.5% 6.0%

Semi-annual

1.00867

1.00990

1.01113

1.01235

1.01357

1.01478

Quarterly

1.01303

1.01488

1.01672

1.01856

1.02039

1.02223

Monthly

1.01594

1.01820

1.02046

1.02271

1.02496

1.02721

Weekly

1.01706

1.01948

1.02190

1.02432

1.02673

1.02913

Examples with 5 percent interest

Example 1

A decedent’s will provides that his nephew, age 40 years, is to receive the sum of $1,000 per year for life, payable in monthly installments. What is the present value of the bequest?

Column 3 in Table I.D provides the factor for valuation of a life annuity at age 40 (15.9180), and the monthly adjustment factor (1.02271). The value required is 15.9180 x 1.02271 x $1,000, or $16,279.

Example 2

A decedent leaves to his sister, age 50, a life interest in property valued at $50,000, and provides that upon the sister’s death, absolute title to the property will pass to other parties. What is the value of the sister’s interest and what is the value of the remainder interest of the other parties in the estate?

Assuming a net return of 5 percent per annum, the sister’s income from the estate will be .05 x $50,000, or $2,500 per year. The value of her income (whether paid annually or otherwise) will be $2,500 x 15.0579 [see Column 6 in Table I.D, age 50], or $37,645.

The remainder interest of the other parties is determined from Column 5 in Table I.D, taking into account the age of the person receiving the life interest. The value of $1 due upon the death of the sister is $.24718. Hence, the reversion is valued at .24718 x $50,000, or $12,359, for those who receive the remainder interest.

Note: The value of a life estate plus the value of the reversionary or remainder interest equals the value of the whole property. Therefore, only one of the values needs to be computed; the second can be arrived at by simply subtracting the value computed from the value of the whole property.

Example 3

Income from property valued at $100,000 is payable to the decedent’s niece for 20 years, regardless of whether or not the niece survives. At the end of 20 years (whether or not the niece is then living), the property is to pass to the decedent’s younger brother (or to the younger brother’s estate if he is not then living).

Income at 5 percent on $100,000 will be $5,000 per year. Present worth of $1 per year for 20 years, according to Column 3 of Table II.D., is $12.4622. The niece’s interest, therefore, is $12.4622 x $5,000 or $62,311.

Present worth of $1 due at the end of 20 years, from Column 2, is $.376889. The brother’s interest is valued at $.376889 x 100,000, or $37,689.

Note: The value of a life estate plus the value of the reversionary or remainder interest equals the value of the whole property. Therefore, only one of the values needs to be computed; the second can be arrived at by simply subtracting the value computed from the value of the whole property.

Example 4

The decedent provides that a beneficiary is to receive $100 per month for a fixed period of 10 years and at the end of that period the beneficiary will receive a final payment of $10,000. What is the value of the bequest?

$1 per year payable annually for 10 years is worth $7.7217 [see Column 3, Table II.D]. For adjustment to a monthly basis, the correcting factor is 1.02271. The payments amount to $1,200 per year and the value of the income is, thus, $7.7217 x 1.02271 x 1,200, or $9,476.

The value of $10,000 due at the end of 10 years is $.613913 x 10,000, or $6,139. The total value of the bequest is $9,476 + $6,139, or $15,615.

Updated 03/27/2014

See also

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