Constants

Function

Value

/

.020000

,<2)

.019901

,<4)

.019852

,<12)

.019819

.019803

.019608

.019705

.019754

.019786

.019803

.980392

,1/2

.990148

1"»

.995062

.998351

1.020000

(l+rV

1.009950

(l+O"

1.004963

(l+iy"2

1.001652

i7i<2)

1.004975

1.007469

i/,<12)

1.009134

1.009967

1.014975

1.012469

1.010801

1.009967

v"

(1 + 0"

« 1

.98039

1.02000

.9804

1.0000

1.000000

.96117

1.04040

1.9416

2.0200

.495050

.94232

1.06121

2.8839

3.0604

.326755

.92385

1.08243

3.8077

4.1216

.242624

.90573

1.10408

4.7135

5.2040

.192158

.88797

1.12616

5.6014

6.3081

.158526

.87056

1.14869

6.4720

7.4343

.134512

.85349

1.17166

7.3255

8.5830

.116510

.83676

1.19509

8.1622

9.7546

.102515

.82035

1.21899

8.9826

10.9497

.091327

.80426

1.24337

9.7868

12.1687

.082178

.78849

1.26824

10.5753

13.4121

.074560

.77303

1.29361

11.3484

14.6803

.068118

.75788

1.31948

12.1062

15.9739

.062602

.74301

1.34587

12.8493

17.2934

.057825

.72845

1.37279

13.5777

18.6393

.053650

.71416

1.40024

14.2919

20.0121

.049970

.70016

1.42825

14.9920

21.4123

.046702

.68643

1.45681

15.6785

22.8406

.043782

.67297

1.48595

16.3514

24.2974

.041157

.65978

1.51567

17.0112

25.7833

.038785

.64684

1.54598

17.6580

27.2990

.036631

.63416

1.57690

18.2922

28.8450

.034668

.62172

1.60844

18.9139

30.4219

.032871

.60953

1.64061

19.5235

32.0303

.031220

.59758

1.67342

20.1210

33.6709

.029699

.58586

1.70689

20.7069

35.3443

.028293

.57437

1.74102

21.2813

37.0512

.026990

.56311

1.77584

21.8444

38.7922

.025778

.55207

1.81136

22.3965

40.5681

.024650

.54125

1.84759

22.9377

42.3794

.023596

.53063

1.88454

23.4683

44.2270

.022611

.52023

1.92223

23.9886

46.1116

.021687

.51003

1.96068

24.4986

48.0338

.020819

.50003

1.99989

24.9986

49.9945

.020002

.49022

2.03989

25.4888

51.9944

.019233

.48061

2.08069

25.9695

54.0343

.018507

.47119

2.12230

26.4406

56.1149

.017821

.46195

2.16474

26.9026

58.2372

.017171

.45289

2.20804

27.3555

60.4020

.016556

.44401

2.25220

27.7995

62.6100

.015972

.43530

2.29724

28.2348

64.8622

.015417

.42677

2.34319

28.6616

67.1595

.014890

.41840

2.39005

29.0800

69.5027

.014388

.41020

2.43785

29.4902

71.8927

.013910

.40215

2.48661

29.8923

74.3306

.013453

.39427

2.53634

30.2866

76.8172

.013018

.38654

2.58707

30.6731

79.3535

.012602

.37896

2.63881

31.0521

81.9406

.012204

.37153

2.69159

31.4236

84.5794

.011823

Constants

Function

Value

.025000

,<2)

.024846

,<4)

.024769

,<12)

.024718

.024693

.024390

.024541

.024617

.024667

.024693

.975610

yl/2

.987730

.993846

,1/12

.997944

1 + 1

1.025000

(i+(V2

1.012423

(i+iV"

1.006192

(i+iy"2

1.002060

1.006211

,7/<)

1.009327

,7,<12)

1.011407

1.012449

(7rf(2)

1.018711

1.015577

1.013491

1.012449

v"

(1+0"

.97561

1.02500

.9756

1.0000

1.000000

.95181

1.05063

1.9274

2.0250

.493827

.92860

1.07689

2.8560

3.0756

.325137

.90595

1.10381

3.7620

4.1525

.240818

.88385

1.13141

4.M58

5.2563

.190247

.86230

1.15969

5.5081

6.3877

. 156550

.84127

1.18869

6.3494

7.5474

.132495

.82075

1.21840

7.1701

8.7361

.114467

.80073

1.24886

7.9709

9.9545

.100457

.78120

1.28008

8.7521

11.2034

.089259

.76214

1.31209

9.5142

12.4835

.080106

.74356

1.34489

10.2578

13.7956

.072487

.72542

1.37851

10.9832

15.1404

.066048

.70773

1.41297

11.6909

16.5190

.060537

.69047

1.44830

12.3814

17.9319

.055766

.67362

1.48451

13.0550

19.3802

.051599

.65720

1.52162

13.7122

20.8647

.047928

.64117

1.55966

14.3534

22.3863

.044670

.62553

1.59865

14.9789

23.9460

.041761

.61027

1.63862

15.5892

25.5447

.039147

.59539

1.67958

16.1845

27.1833

.036787

.58086

1.72157

16.7654

28.8629

.034647

.56670

1.76461

17.3321

30.5844

.032696

.55288

1.80873

17.8850

32.3490

.030913

.53939

1.85394

18.4244

34.1578

.029276

.52623

1.90029

18.9506

36.0117

.027769

.51340

1.94780

19.4640

37.9120

.026377

.50088

1.99650

19.9649

39.8598

.025088

.48866

2.04641

20.4535

41.8563

.023891

.47674

2.09757

20.9303

43.9027

.022778

.46511

2.15001

21.3954

46.0003

.021739

.45377

2.20376

21.8492

48.1503

.020768

.44270

2.25885

22.2919

50.3540

.019859

.43191

2.31532

22.7238

52.6129

.019007

.42137

2.37321

23.1452

54.9282

.018206

.41109

2.43254

23.5563

57.3014

.017452

.40107

2.49335

23.9573

59.7339

.016741

.39128

2.55568

24.3456

62.2273

.016070

.38174

2.61957

24.7303

64.7830

.015436

.37243

2.68506

25.1028

67.4026

.014836

.36335

2.75219

25.4661

70.0876

.014268

.35448

2.82100

25.8206

72.8398

.013729

.34584

2.89152

26.1664

75.6608

.013217

.33740

2.96381

26.5038

78.5523

.012730

.32917

3.03790

26.8330

81.5161

.012268

.32115

3.11385

27.1542

84.5540

.011827

.31331

3.19170

27.4675

87.6679

.011407

.30567

3.27149

27.7732

90.8596

.011006

.29822

3.35328

28.0714

94.1311

.010623

.29094

3.43711

28.3623

97.4843

.010258

Constants

Function

Value

,<2) ,<4) ,<12) 5

.040000 .039608 .039414 .039285 .039221

4) /12)

.038462 .038839 .039029 .039157 .039221

,l/2 1/4

112

.961538 .980581 .990243 .996737

(1+0»" (l+02

1.040000 1.019804 1.009853 1.003274

,7,<12)

1.009902 1.014877 1.018204 1.019869

il<P> il<f*

1.029902 1.024877 1.021537 1.019869

v"

(1+0"

« 1

.96154

1.04000

.9615

1.0000

1.000000

.92456

1.08160

1.8861

2.0400

.490196

.88900

1.12486

2.7751

3.1216

.320349

.85480

1.16986

3.6299

4.2465

.235490

.82193

1.21665

4.4518

5.4163

.184627

.79031

1.26532

5.2421

6.6330

.150762

.75992

1.31593

6.0021

7.8983

.126610

.73069

1.36857

6.7327

9.2142

.108528

.70259

1.42331

7.4353

10.5828

.094493

.67556

1.48024

8.1109

12.0061

.083291

.64958

1.53945

8.7605

13.4864

.074149

.62460

1.60103

9.3851

15.0258

.066552

.60057

1.66507

9.9856

16.6268

.060144

.57748

1.73168

10.5631

18.2919

.054669

.55526

1.80094

11.1184

20.0236

.049941

.53391

1.87298

11.6523

21.8245

.045820

.51337

1.94790

12.1657

23.6975

.042199

.49363

2.02582

12.6593

25.6454

.038993

.47464

2.10685

13.1339

27.6712

.036139

.45639

2.19112

13.5903

29.7781

.033582

.43883

2.27877

14.0292

31.9692

.031280

.42196

2.36992

14.4511

34.2480

.029199

.40573

2.46472

14.8568

36.6179

.027309

.39012

2.56330

15.2470

39.0826

.025587

.37512

2.66584

15.6221

41.6459

.024012

.36069

2.77247

15.9828

44.3117

.022567

.34682

2.88337

16.3296

47.0842

.021239

.33348

2.99870

16.6631

49.9676

.020013

.32065

3.11865

16.9837

52.9663

.018880

.30832

3.24340

17.2920

56.0849

.017830

.29646

3.37313

17.5885

59.3283

.016855

.28506

3.50806

17.8736

62.7015

.015949

.27409

3.64838

18.1476

66.2095

.015104

.26355

3.79432

18.4112

69.8579

.014315

.25342

3.94609

18.6646

73.6522

.013577

.24367

4.10393

18.9083

77.5983

.012887

.23430

4.26809

19.1426

81.7022

.012240

.22529

4.43881

19.3679

85.9703

.011632

.21662

4.61637

19.5845

90.4091

.011061

.20829

4.80102

19.7928

95.0255

.010523

.20028

4.99306

19.9931

99.8265

.010017

.19257

5.19278

20.1856

104.8196

.009540

.18517

5.40050

20.3708

110.0124

.009090

.17805

5.61652

20.5488

115.4129

.008665

.17120

5.84118

20.7200

121.0294

.008262

.16461

6.07482

20.8847

126.8706

.007882

.15828

6.31782

21.0429

132.9454

.007522

.15219

6.57053

21.1951

139.2632

.007181

.14634

6.83335

21.3415

145.8337

.006857

.14071

7.10668

21.4822

152.6671

.006550

Constants

v"

(1+0"

« 1

Function

Value

.95694

1.04500

.9569

1.0000

1.000000

.91573

1.09203

1.8727

2.0450

.488998

.045000

.87630

1.14117

2.7490

3.1370

.318773

,<2)

.044505

.83856

1.19252

3.5875

4.2782

.233744

,<4)

.044260

.80245

1.24618

4.3900

5.4707

. 182792

,<I2)

.044098

.76790

1.30226

5.1579

6.7169

.148878

.044017

.73483

1.36086

5.8927

8.0192

.124701

.70319

1.42210

6.5959

9.3800

.106610

.043062

.67290

1.48610

7.2688

10.8021

.092574

.043536

.64393

1.55297

7.9127

12.2882

.081379

d<")

.043776

.61620

1.62285

8.5289

13.8412

.072248

rf(12)

.043936

.58966

1.69588

9.1186

15.4640

.064666

.044017

.56427

1.77220

9.6829

17.1599

.058275

.53997

1.85194

10.2228

18.9321

.052820

.956938

.51672

1.93528

10.7395

20.7841

.048114

v"2

.978232

.49447

2.02237

11.2340

22.7193

.044015

vl/4

.989056

.47318

2.11338

11.7072

24.7417

.040418

1/12

.996339

.45280

2.20848

12.1600

26.8551

.037237

.43330

2.30786

12.5933

29.0636

.034407

1.045000

.41464

2.41171

13.0079

31.3714

.031876

(l+iy

1.027752

.39679

2.52024

13.4047

33.7831

.029601

(l+O"

1.011065

.37970

2.63365

13.7844

36.3034

.027546

(l+0"2

1.003675

.36335

2.75217

14.1478

38.9370

.025682

.34770

2.87601

14.4955

41.6892

.023987

ili<

1.011126

.33273

3.00543

14.8282

44.5652

.022439

ili<

1.016720

.31840

3.14068

15.1466

47.5706

.021021

1.020461

.30469

3.28201

15.4513

50.7113

.019719

1.022335

.29157

3.42970

15.7429

53.9933

.018521

.27902

3.58404

16.0219

57.4230

.017415

il<F>

1.033626

.26700

3.74532

16.2889

61.0071

.016392

1.027970

.25550

3.91386

16.5444

64.7524

.015443

1.024211

.24450

4.08998

16.7889

68.6662

.014563

1.022335

.23397

4.27403

17.0229

72.7562

.013745

.22390

4.46636

17.2468

77.0303

.012982

.21425

4.66735

17.4610

81.4966

.012270

.20503

4.87738

17.66

86.1640

.011606

.19620

5.09686

17.8622

91.0413

.010984

.18775

5.32622

18.0500

96.1382

.010402

.17967

5.56590

18.2297

101.4644

.009856

.17193

5.81636

18.4016

107.0303

.009343

.16453

6.07810

18.56*1

112.8467

.008862

.15744

6.35162

18.7235

118.9248

.008409

.15066

6.63744

18.8742

125.2764

.007982

.14417

6.93612

19.0184

131.9138

.007581

.13796

7.24825

19.1563

138.8500

.007202

.13202

7.57442

19.2884

146.0982

.006845

.12634

7.91527

19.4147

153.6726

.006507

.12090

8.27146

19.5356

161.5879

.006189

.11569

8.64367

19.6513

169.8594

.005887

.11071

9.03264

19.7620

178.5030

.005602

Constants

Function

Value

.0700(

.068816

,<4)

.068234

,<12)

.067850

.067659

.065421

.066527

.067090

,(12)

.067468

.067659

.934579

.966736

,1/4

.983228

,1/12

.994378

1.070000

(1+0 "2

1.034408

(l+O"*

1.017059

(l+0"2

1.005654

1.017204

/<")

1.025880

1.031691

1.034605

1.052204

1.043380

1.037525

1.034605

v"

(1+0"

.93458

1.07000

.9346

1.0000

1.000000

.87344

1.14490

1.8080

2.0700

.483092

.81630

1 72504

2.6243

3.2149

.311052

.76290

1.31080

3.3872

4.4399

.225228

.71299

1.40255

4.1002

5.7507

.173891

.66634

1.50073

4.7665

7.1533

.139796

.62275

1.60578

5.3893

8.6540

.115553

.58201

1.71819

5.9713

10.2598

.097468

.54393

1.83846

6.5152

11.9780

.083486

.50835

1.96715

7.0236

13.8164

.072378

.47509

2.10485

7.4987

15.7836

.063357

.44401

2.25219

7.9427

17.8885

.055902

.41496

2.40985

8.3577

20.1406

.049651

.38782

2.57853

8.7455

22.5505

.044345

.36245

2.75903

9.1079

25.1290

.039795

.33873

2.95216

9.4466

27.8881

.035858

.31657

3.15882

9.7632

30.8402

.032425

.29586

3.37993

10.0591

33.9990

.029413

.27651

3.61653

10.3356

37.3790

.026753

.25842

3.86968

10.5940

40.9955

.024393

.24151

4.14056

10.8355

44.8652

.022289

.22571

4.43040

11.0612

49.0057

.020406

.21095

4.74053

11.2722

53.4361

.018714

.19715

5.07237

11.4693

58.1767

.017189

.18425

5.42743

11.6536

63.2490

.015811

.17220

5.80735

11.8258

68.6765

.014561

.16093

6.21387

11.9867

74.4838

.013426

.15040

6.64884

12.1371

80.6977

.012392

.14056

7.11426

12.2777

87.3465

.011449

.13137

7.61226

12.4090

94.4608

.010586

.12277

8.14511

12.5318

102.0730

.009797

.11474

8.71527

12.6466

110.2182

.009073

.10723

9.32534

12.7538

118.9334

.008408

.10022

9.97811

12.8540

128.2588

.007797

.09366

10.67658

12.9477

138.2369

.007234

.08754

11.42394

13.0352

148.9135

.006715

.08181

12.22362

13.1170

160.3374

.006237

.07646

13.07927

13.1935

172.5610

.005795

.07146

13.99482

13.2649

185.6403

.005387

.06678

14.97446

13.3317

199.6351

.005009

.06241

16.02267

13.3941

214.6096

.004660

.05833

17.14426

13.4524

230.6322

.004336

.05451

18.34435

13.5070

247.7765

.004036

.05095

19.62846

13.5579

266.1209

.003758

.04761

21.00245

13.6055

285.7493

.003500

.04450

22.47262

13.6500

306.7518

.003260

.04159

24.04571

13.6916

329.2244

.003037

.03887

25.72891

13.7305

353.2701

.002831

.03632

27.52993

13.7668

378.9990

.002639

.03395

29.45703

13.8007

406.5289

.002460

Constants

v"

(1+0"

"SI

1/ 1

Function

Value

.92593

1.08000

.9259

1.0000

1.000000

.85734

1.16640

1.7833

2.0800

.480769

(

.080000

.79383

1.25971

2.5771

3.2464

.308034

,<2)

.078461

.73503

1.36049

3.3121

4.5061

.221921

,<4)

.077706

.68058

1.46933

3.9927

5.8666

.170456

,<12)

.077208

.63017

1.58687

4.6229

7.3359

.136315

.076961

.58349

1.71382

5.2064

8.9228

.112072

.54027

1.85093

5.7466

10.6366

.094015

.074074

.50025

1.99900

6.2469

12.4876

.080080

.075499

.46319

2.15892

6.7101

14.4866

.069029

.076225

.42888

2.33164

7.1390

16.6455

.060076

.076715

.39711

2.51817

7.5361

18.9771

.052695

.076961

.36770

2.71962

7.9038

21.4953

.046522

.34046

2.93719

8.2442

24.2149

.041297

.925926

.31524

3.17217

8.5595

27.1521

.036830

V>/2

.962250

.29189

3.42594

8.8514

30.3243

.032977

,1/4

.980944

.27027

3.70002

9.1216

33.7502

.029629

1/12

.993607

.25025

3.99602

9.3719

37.4502

.026702

.23171

4.31570

9.6036

41.4463

.024128

1 + 1

1.080000

.21455

4.66096

9.8181

45.7620

.021852

(i+0"2

1.039230

.19866

5.03383

10.0168

50.4229

.019832

(1 + 0""

1.019427

.18394

5.43654

10.2007

55.4568

.018032

(l+0"2

1.006434

.17032

5.87146

10.3711

60.8933

.016422

.15770

6.34118

10.5288

66.7648

.014978

l<2)

1.019615

.14602

6.84848

10.6748

73.1059

.013679

/7(<")

1.029519

.13520

7.39635

10.8100

79.9544

.012507

ilfn)

1.036157

.12519

7.98806

10.9352

87.3508

.011448

1.039487

.11591

8.62711

11.0511

95.3388

.010489

.10733

9.31727

11. 4

103.9659

.009619

1.059615

.09938

10.06266

11.2578

113.2832

.008827

1.049519

.09202

10.86767

11.3498

123.3459

.008107

1.042824

.08520

11.73708

11.4350

134.2135

.007451

1.039487

.07889

12.67605

11.5139

145.9506

.006852

.07305

13.69013

11.5869

158.6267

.006304

.06763

14.78534

11.6546

172.3168

.005803

.06262

15.96817

11.7172

187.1021

.005345

.05799

17.24563

11.7752

203.0703

.004924

.05369

18.62528

11.82J9

220.3159

.004539

.04971

20.11530

11.87J6

238.9412

.004185

.04603

21.72452

11.9246

259.0565

.003860

.04262

23.46248

11.9672

280.7810

.003561

.03946

25.33948

12.0057

304.2435

.003287

.03654

27.36664

12.04J2

329.5830

.003034

.03383

29.55597

12.0771

356.9496

.002802

.03133

31.92045

12.1(84

386.5056

.002587

.02901

34.47409

12.1374

418.4261

.002390

.02686

37.23201

12.1 -3

452.9002

.002208

.02487

40.21057

12.1» 1

490.1322

.002040

.02303

43.42742

12.2122

530.3427

.001886

.02132

46.90161

12.2335

573.7702

.001743