Appendix III: Interest Factor Tables

Table Iii.3

7% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A,i,n

A/F,i, n

P/A,i,n

A/P,i,n

1

1.0700

0.9346

1.0000

1.0000

0.9346

1.0700

2

1.1449

0.8734

2.0700

0.4831

1.8080

0.5531

3

1.2250

0.8163

3.2149

0.3111

2.6243

0.3811

4

1.3108

0.7629

4.4399

0.2252

3.3872

0.2952

5

1.4026

0.7130

5.7507

0.1739

4.1002

0.2439

6

1.5007

0.6663

7.1533

0.1398

4.7665

0.2098

7

1.6058

0.6227

8.6540

0.1156

5.3893

0.1856

8

1.7182

0.5820

10.2598

0.0975

5.9713

0.1675

9

1.8385

0.5439

11.9780

0.0835

6.5152

0.1535

10

1.9672

0.5083

13.8164

0.0724

7.0236

0.1424

11

2.1049

0.4751

15.7836

0.0634

7.4987

0.1334

12

2.2522

0.4440

17.8885

0.0559

7.9427

0.1259

13

2.4098

0.4150

20.1406

0.0497

8.3577

0.1197

14

2.5785

0.3878

22.5505

0.0443

8.7455

0.1143

15

2.7590

0.3624

25.1290

0.0398

9.1079

0.1098

16

2.9522

0.3387

27.8881

0.0359

9.4466

0.1059

17

3.1588

0.3166

30.8402

0.0324

9.7632

0.1024

18

3.3799

0.2959

33.9990

0.0294

10.0591

0.0994

19

3.6165

0.2765

37.3790

0.0268

10.3356

0.0968

20

3.8697

0.2584

40.9955

0.0244

10.5940

0.0944

21

4.1406

0.2415

44.8652

0.0223

10.8355

0.0923

22

4.4304

0.2257

49.0057

0.0204

11.0612

0.0904

23

4.7405

0.2109

53.4361

0.0187

11.2722

0.0887

24

5.0724

0.1971

58.1767

0.0172

11.4693

0.0872

25

5.4274

0.1842

63.2490

0.0158

11.6536

0.0858

26

5.8074

0.1722

68.6765

0.0146

11.8258

0.0846

27

6.2139

0.1609

74.4838

0.0134

11.9867

0.0834

28

6.6488

0.1504

80.6977

0.0124

12.1371

0.0824

29

7.1143

0.1406

87.3465

0.0114

12.2777

0.0814

30

7.6123

0.1314

94.4608

0.0106

12.4090

0.0806

31

8.1451

0.1228

102.0730

0.0098

12.5318

0.0798

32

8.7153

0.1147

110.2182

0.0091

12.6466

0.0791

33

9.3253

0.1072

118.9334

0.0084

12.7538

0.0784

34

9.9781

0.1002

128.2588

0.0078

12.8540

0.0778

35

10.6766

0.0937

138.2369

0.0072

12.9477

0.0772

Table Iii.4

8% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A,i,n

A/F,i,n

P/A,i,n

A/P,i,n

1

1.0800

0.9259

1.0000

1.0000

0.9259

1.0800

2

1.1664

0.8573

2.0800

0.4808

1.7833

0.5608

3

1.2597

0.7938

3.2464

0.3080

2.5771

0.3880

4

1.3605

0.7350

4.5061

0.2219

3.3121

0.3019

5

1.4693

0.6806

5.8666

0.1705

3.9927

0.2505

6

1.5869

0.6302

7.3359

0.1363

4.6229

0.2163

7

1.7138

0.5835

8.9228

0.1121

5.2064

0.1921

8

1.8509

0.5403

10.6366

0.0940

5.7466

0.1740

9

1.9990

0.5002

12.4876

0.0801

6.2469

0.1601

10

2.1589

0.4632

14.4866

0.0690

6.7101

0.1490

11

2.3316

0.4289

16.6455

0.0601

7.1390

0.1401

12

2.5182

0.3971

18.9771

0.0527

7.5361

0.1327

13

2.7196

0.3677

21.4953

0.0465

7.9038

0.1265

14

2.9372

0.3405

24.2149

0.0413

8.2442

0.1213

15

3.1722

0.3152

27.1521

0.0368

8.5595

0.1168

16

3.4259

0.2919

30.3243

0.0330

8.8514

0.1130

17

3.7000

0.2703

33.7502

0.0296

9.1216

0.1096

18

3.9960

0.2502

37.4502

0.0267

9.3719

0.1067

19

4.3157

0.2317

41.4463

0.0241

9.6036

0.1041

20

4.6610

0.2145

45.7620

0.0219

9.8181

0.1019

21

5.0338

0.1987

50.4229

0.0198

10.0168

0.0998

22

5.4365

0.1839

55.4568

0.0180

10.2007

0.0980

23

5.8715

0.1703

60.8933

0.0164

10.3711

0.0964

24

6.3412

0.1577

66.7648

0.0150

10.5288

0.0950

25

6.8485

0.1460

73.1059

0.0137

10.6748

0.0937

26

7.3964

0.1352

79.9544

0.0125

10.8100

0.0925

27

7.9881

0.1252

87.3508

0.0114

10.9352

0.0914

28

8.6271

0.1159

95.3388

0.0105

11.0511

0.0905

29

9.3173

0.1073

103.9659

0.0096

11.1584

0.0896

30

10.0627

0.0994

113.2832

0.0088

11.2578

0.0888

31

10.8677

0.0920

123.3459

0.0081

11.3498

0.0881

32

11.7371

0.0852

134.2135

0.0075

11.4350

0.0875

33

12.6760

0.0789

145.9506

0.0069

11.5139

0.0869

34

13.6901

0.0730

158.6267

0.0063

11.5869

0.0863

35

14.7853

0.0676

172.3168

0.0058

11.6546

0.0858

Table Iii.5

9% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A ,i,n

A/F,i,n

P/A,i,n

A/P,i,n

1

1.0900

0.9174

1.0000

1.0000

0.9174

1.0900

2

1.1881

0.8417

2.0900

0.4785

1.7591

0.5685

3

1.2950

0.7722

3.2781

0.3051

2.5313

0.3951

4

1.4116

0.7084

4.5731

0.2187

3.2397

0.3087

5

1.5386

0.6499

5.9847

0.1671

3.8897

0.2571

6

1.6771

0.5963

7.5233

0.1329

4.4859

0.2229

7

1.8280

0.5470

9.2004

0.1087

5.0330

0.1987

8

1.9926

0.5019

11.0285

0.0907

5.5348

0.1807

9

2.1719

0.4604

13.0210

0.0768

5.9952

0.1668

10

2.3674

0.4224

15.1929

0.0658

6.4177

0.1558

11

2.5804

0.3875

17.5603

0.0569

6.8052

0.1469

12

2.8127

0.3555

20.1407

0.0497

7.1607

0.1397

13

3.0658

0.3262

22.9534

0.0436

7.4869

0.1336

14

3.3417

0.2992

26.0192

0.0384

7.7862

0.1284

15

3.6425

0.2745

29.3609

0.0341

8.0607

0.1241

16

3.9703

0.2519

33.0034

0.0303

8.3126

0.1203

17

4.3276

0.2311

36.9737

0.0270

8.5436

0.1170

18

4.7171

0.2120

41.3013

0.0242

8.7556

0.1142

19

5.1417

0.1945

46.0185

0.0217

8.9501

0.1117

20

5.6044

0.1784

51.1601

0.0195

9.1285

0.1095

21

6.1088

0.1637

56.7645

0.0176

9.2922

0.1076

22

6.6586

0.1502

62.8733

0.0159

9.4424

0.1059

23

7.2579

0.1378

69.5319

0.0144

9.5802

0.1044

24

7.9111

0.1264

76.7898

0.0130

9.7066

0.1030

25

8.6231

0.1160

84.7009

0.0118

9.8226

0.1018

26

9.3992

0.1064

93.3240

0.0107

9.9290

0.1007

27

10.2451

0.0976

102.7231

0.0097

10.0266

0.0997

28

11.1671

0.0895

112.9682

0.0089

10.1161

0.0989

29

12.1722

0.0822

124.1354

0.0081

10.1983

0.0981

30

13.2677

0.0754

136.3075

0.0073

10.2737

0.0973

31

14.4618

0.0691

149.5752

0.0067

10.3428

0.0967

32

15.7633

0.0634

164.0370

0.0061

10.4062

0.0961

33

17.1820

0.0582

179.8003

0.0056

10.4644

0.0956

34

18.7284

0.0534

196.9823

0.0051

10.5178

0.0951

35

20.4140

0.0490

215.7108

0.0046

10.5668

0.0946

Table Iii.6

10% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F, i,n

F/A,i,n

A/F,i,,n

P/A,i,n

A/P, i,n

1

1.1000

0.9091

1.0000

1.0000

0.9091

1.1000

2

1.2100

0.8264

2.1000

0.4762

1.7355

0.5762

3

1.3310

0.7513

3.3100

0.3021

2.4869

0.4021

4

1.4641

0.6830

4.6410

0.2155

3.1699

0.3155

5

1.6105

0.6209

6.1051

0.1638

3.7908

0.2638

6

1.7716

0.5645

7.7156

0.1296

4.3553

0.2296

7

1.9487

0.5132

9.4872

0.1054

4.8684

0.2054

8

2.1436

0.4665

11.4359

0.0874

5.3349

0.1874

9

2.3579

0.4241

13.5795

0.0736

5.7590

0.1736

10

2.5937

0.3855

15.9374

0.0627

6.1446

0.1627

11

2.8531

0.3505

18.5312

0.0540

6.4951

0.1540

12

3.1384

0.3186

21.3843

0.0468

6.8137

0.1468

13

3.4523

0.2897

24.5227

0.0408

7.1034

0.1408

14

3.7975

0.2633

27.9750

0.0357

7.3667

0.1357

15

4.1772

0.2394

31.7725

0.0315

7.6061

0.1315

16

4.5950

0.2176

35.9497

0.0278

7.8237

0.1278

17

5.0545

0.1978

40.5447

0.0247

8.0216

0.1247

18

5.5599

0.1799

45.5992

0.0219

8.2014

0.1219

19

6.1159

0.1635

51.1591

0.0195

8.3649

0.1195

20

6.7275

0.1486

57.2750

0.0175

8.5136

0.1175

21

7.4002

0.1351

64.0025

0.0156

8.6487

0.1156

22

8.1403

0.1228

71.4027

0.0140

8.7715

0.1140

23

8.9543

0.1117

79.5430

0.0126

8.8832

0.1126

24

9.8497

0.1015

88.4973

0.0113

8.9847

0.1113

25

10.8347

0.0923

98.3471

0.0102

9.0770

0.1102

26

11.9182

0.0839

109.1818

0.0092

9.1609

0.1092

27

13.1100

0.0763

121.0999

0.0083

9.2372

0.1083

28

14.4210

0.0693

134.2099

0.0075

9.3066

0.1075

29

15.8631

0.0630

148.6309

0.0067

9.3696

0.1067

30

17.4494

0.0573

164.4940

0.0061

9.4269

0.1061

31

19.1943

0.0521

181.9434

0.0055

9.4790

0.1055

32

21.1138

0.0474

201.1378

0.0050

9.5264

0.1050

33

23.2252

0.0431

222.2515

0.0045

9.5694

0.1045

34

25.5477

0.0391

245.4767

0.0041

9.6086

0.1041

35

28.1024

0.0356

271.0244

0.0037

9.6442

0.1037

Table Iii.7

12% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i ,n

P/F,i,n

F/A,i,n

A/F,i,n

P/A,i ,n

A/P,i,n

1

1.1200

0.8929

1.0000

1.0000

0.8929

1.1200

2

1.2544

0.7972

2.1200

0.4717

1.6901

0.5917

3

1.4049

0.7118

3.3744

0.2963

2.4018

0.4163

4

1.5735

0.6355

4.7793

0.2092

3.0373

0.3292

5

1.7623

0.5674

6.3528

0.1574

3.6048

0.2774

6

1.9738

0.5066

8.1152

0.1232

4.1114

0.2432

7

2.2107

0.4523

10.0890

0.0991

4.5638

0.2191

8

2.4760

0.4039

12.2997

0.0813

4.9676

0.2013

9

2.7731

0.3606

14.7757

0.0677

5.3282

0.1877

10

3.1058

0.3220

17.5487

0.0570

5.6502

0.1770

11

3.4785

0.2875

20.6546

0.0484

5.9377

0.1684

12

3.8960

0.2567

24.1331

0.0414

6.1944

0.1614

13

4.3635

0.2292

28.0291

0.0357

6.4235

0.1557

14

4.8871

0.2046

32.3926

0.0309

6.6282

0.1509

15

5.4736

0.1827

37.2797

0.0268

6.8109

0.1468

16

6.1304

0.1631

42.7533

0.0234

6.9740

0.1434

17

6.8660

0.1456

48.8837

0.0205

7.1196

0.1405

18

7.6900

0.1300

55.7497

0.0179

7.2497

0.1379

19

8.6128

0.1161

63.4397

0.0158

7.3658

0.1358

20

9.6463

0.1037

72.0524

0.0139

7.4694

0.1339

21

10.8038

0.0926

81.6987

0.0122

7.5620

0.1322

22

12.1003

0.0826

92.5026

0.0108

7.6446

0.1308

23

13.5523

0.0738

104.6029

0.0096

7.7184

0.1296

24

15.1786

0.0659

118.1552

0.0085

7.7843

0.1285

25

17.0001

0.0588

133.3339

0.0075

7.8431

0.1275

26

19.0401

0.0525

150.3339

0.0067

7.8957

0.1267

27

21.3249

0.0469

169.3740

0.0059

7.9426

0.1259

28

23.8839

0.0419

190.6989

0.0052

7.9844

0.1252

29

26.7499

0.0374

214.5828

0.0047

8.0218

0.1247

30

29.9599

0.0334

241.3327

0.0041

8.0552

0.1241

31

33.5551

0.0298

271.2926

0.0037

8.0850

0.1237

32

37.5817

0.0266

304.8477

0.0033

8.1116

0.1233

33

42.0915

0.0238

342.4294

0.0029

8.1354

0.1229

34

47.1425

0.0212

384.5210

0.0026

8.1566

0.1226

35

52.7996

0.0189

431.6635

0.0023

8.1755

0.1223

Table Iii.8

15% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A,i,n

A/F,i, n

P/A,i,n

A/P,i,n

1

1.1500

0.8696

1.0000

1.0000

0.8696

1.1500

2

1.3225

0.7561

2.1500

0.4651

1.6257

0.6151

3

1.5209

0.6575

3.4725

0.2880

2.2832

0.4380

4

1.7490

0.5718

4.9934

0.2003

2.8550

0.3503

5

2.0114

0.4972

6.7424

0.1483

3.3522

0.2983

6

2.3131

0.4323

8.7537

0.1142

3.7845

0.2642

7

2.6600

0.3759

11.0668

0.0904

4.1604

0.2404

8

3.0590

0.3269

13.7268

0.0729

4.4873

0.2229

9

3.5179

0.2843

16.7858

0.0596

4.7716

0.2096

10

4.0456

0.2472

20.3037

0.0493

5.0188

0.1993

11

4.6524

0.2149

24.3493

0.0411

5.2337

0.1911

12

5.3503

0.1869

29.0017

0.0345

5.4206

0.1845

13

6.1528

0.1625

34.3519

0.0291

5.5831

0.1791

14

7.0757

0.1413

40.5047

0.0247

5.7245

0.1747

15

8.1371

0.1229

47.5804

0.0210

5.8474

0.1710

16

9.3576

0.1069

55.7175

0.0179

5.9542

0.1679

17

10.7613

0.0929

65.0751

0.0154

6.0472

0.1654

18

12.3755

0.0808

75.8364

0.0132

6.1280

0.1632

19

14.2318

0.0703

88.2118

0.0113

6.1982

0.1613

20

16.3665

0.0611

102.4436

0.0098

6.2593

0.1598

21

18.8215

0.0531

118.8101

0.0084

6.3125

0.1584

22

21.6447

0.0462

137.6316

0.0073

6.3587

0.1573

23

24.8915

0.0402

159.2764

0.0063

6.3988

0.1563

24

28.6252

0.0349

184.1678

0.0054

6.4338

0.1554

25

32.9190

0.0304

212.7930

0.0047

6.4641

0.1547

26

37.8568

0.0264

245.7120

0.0041

6.4906

0.1541

27

43.5353

0.0230

283.5688

0.0035

6.5135

0.1535

28

50.0656

0.0200

327.1041

0.0031

6.5335

0.1531

29

57.5755

0.0174

377.1697

0.0027

6.5509

0.1527

30

66.2118

0.0151

434.7451

0.0023

6.5660

0.1523

31

76.1435

0.0131

500.9569

0.0020

6.5791

0.1520

32

87.5651

0.0114

577.1005

0.0017

6.5905

0.1517

33

100.6998

0.0099

664.6655

0.0015

6.6005

0.1515

34

115.8048

0.0086

765.3654

0.0013

6.6091

0.1513

35

133.1755

0.0075

881.1702

0.0011

6.6166

0.1511

Table Iii.9

20% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A,i,n

A/F,i,n

P/A,i,n

A/P,i,n

1

1.2000

0.8333

1.0000

1.0000

0.8333

1.2000

2

1.4400

0.6944

2.2000

0.4545

1.5278

0.6545

3

1.7280

0.5787

3.6400

0.2747

2.1065

0.4747

4

2.0736

0.4823

5.3680

0.1863

2.5887

0.3863

5

2.4883

0.4019

7.4416

0.1344

2.9906

0.3344

6

2.9860

0.3349

9.9299

0.1007

3.3255

0.3007

7

3.5832

0.2791

12.9159

0.0774

3.6046

0.2774

8

4.2998

0.2326

16.4991

0.0606

3.8372

0.2606

9

5.1598

0.1938

20.7989

0.0481

4.0310

0.2481

10

6.1917

0.1615

25.9587

0.0385

4.1925

0.2385

11

7.4301

0.1346

32.1504

0.0311

4.3271

0.2311

12

8.9161

0.1122

39.5805

0.0253

4.4392

0.2253

13

10.6993

0.0935

48.4966

0.0206

4.5327

0.2206

14

12.8392

0.0779

59.1959

0.0169

4.6106

0.2169

15

15.4070

0.0649

72.0351

0.0139

4.6755

0.2139

16

18.4884

0.0541

87.4421

0.0114

4.7296

0.2114

17

22.1861

0.0451

105.9306

0.0094

4.7746

0.2094

18

26.6233

0.0376

128.1167

0.0078

4.8122

0.2078

19

31.9480

0.0313

154.7400

0.0065

4.8435

0.2065

20

38.3376

0.0261

186.6880

0.0054

4.8696

0.2054

21

46.0051

0.0217

225.0256

0.0044

4.8913

0.2044

22

55.2061

0.0181

271.0307

0.0037

4.9094

0.2037

23

66.2474

0.0151

326.2369

0.0031

4.9245

0.2031

24

79.4968

0.0126

392.4842

0.0025

4.9371

0.2025

25

95.3962

0.0105

471.9811

0.0021

4.9476

0.2021

26

114.4755

0.0087

567.3773

0.0018

4.9563

0.2018

27

137.3706

0.0073

681.8528

0.0015

4.9636

0.2015

28

164.8447

0.0061

819.2233

0.0012

4.9697

0.2012

29

197.8136

0.0051

984.0680

0.0010

4.9747

0.2010

30

237.3763

0.0042

1181.8816

0.0008

4.9789

0.2008

31

284.8516

0.0035

1419.2579

0.0007

4.9824

0.2007

32

341.8219

0.0029

1704.1095

0.0006

4.9854

0.2006

33

410.1863

0.0024

2045.9314

0.0005

4.9878

0.2005

34

492.2235

0.0020

2456.1176

0.0004

4.9898

0.2004

35

590.6682

0.0017

2948.3411

0.0003

4.9915

0.2003

Table Iii.1

5% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F, i,n

F/A,i,n

A/F,i,n

P/A,i,n

A/P, i,n

1

1.0500

0.9524

1.0000

1.0000

0.9524

1.0500

2

1.1025

0.9070

2.0500

0.4878

1.8594

0.5378

3

1.1576

0.8638

3.1525

0.3172

2.7232

0.3672

4

1.2155

0.8227

4.3101

0.2320

3.5460

0.2820

5

1.2763

0.7835

5.5256

0.1810

4.3295

0.2310

6

1.3401

0.7462

6.8019

0.1470

5.0757

0.1970

7

1.4071

0.7107

8.1420

0.1228

5.7864

0.1728

8

1.4775

0.6768

9.5491

0.1047

6.4632

0.1547

9

1.5513

0.6446

11.0266

0.0907

7.1078

0.1407

10

1.6289

0.6139

12.5779

0.0795

7.7217

0.1295

11

1.7103

0.5847

14.2068

0.0704

8.3064

0.1204

12

1.7959

0.5568

15.9171

0.0628

8.8633

0.1128

13

1.8856

0.5303

17.7130

0.0565

9.3936

0.1065

14

1.9799

0.5051

19.5986

0.0510

9.8986

0.1010

15

2.0789

0.4810

21.5786

0.0463

10.3797

0.0963

16

2.1829

0.4581

23.6575

0.0423

10.8378

0.0923

17

2.2920

0.4363

25.8404

0.0387

11.2741

0.0887

18

2.4066

0.4155

28.1324

0.0355

11.6896

0.0855

19

2.5270

0.3957

30.5390

0.0327

12.0853

0.0827

20

2.6533

0.3769

33.0660

0.0302

12.4622

0.0802

21

2.7860

0.3589

35.7193

0.0280

12.8212

0.0780

22

2.9253

0.3418

38.5052

0.0260

13.1630

0.0760

23

3.0715

0.3256

41.4305

0.0241

13.4886

0.0741

24

3.2251

0.3101

44.5020

0.0225

13.7986

0.0725

25

3.3864

0.2953

47.7271

0.0210

14.0939

0.0710

26

3.5557

0.2812

51.1135

0.0196

14.3752

0.0696

27

3.7335

0.2678

54.6691

0.0183

14.6430

0.0683

28

3.9201

0.2551

58.4026

0.0171

14.8981

0.0671

29

4.1161

0.2429

62.3227

0.0160

15.1411

0.0660

30

4.3219

0.2314

66.4388

0.0151

15.3725

0.0651

31

4.5380

0.2204

70.7608

0.0141

15.5928

0.0641

32

4.7649

0.2099

75.2988

0.0133

15.8027

0.0633

33

5.0032

0.1999

80.0638

0.0125

16.0025

0.0625

34

5.2533

0.1904

85.0670

0.0118

16.1929

0.0618

35

5.5160

0.1813

90.3203

0.0111

16.3742

0.0611

Table Iii.2

6% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i ,n

P/F,i,n

F/A,i,n

A/F,i,n

P/A,i ,n

A/P,i,n

1

1.0600

0.9434

1.0000

1.0000

0.9434

1.0600

2

1.1236

0.8900

2.0600

0.4854

1.8334

0.5454

3

1.1910

0.8396

3.1836

0.3141

2.6730

0.3741

4

1.2625

0.7921

4.3746

0.2286

3.4651

0.2886

5

1.3382

0.7473

5.6371

0.1774

4.2124

0.2374

6

1.4185

0.7050

6.9753

0.1434

4.9173

0.2034

7

1.5036

0.6651

8.3938

0.1191

5.5824

0.1791

8

1.5938

0.6274

9.8975

0.1010

6.2098

0.1610

9

1.6895

0.5919

11.4913

0.0870

6.8017

0.1470

10

1.7908

0.5584

13.1808

0.0759

7.3601

0.1359

11

1.8983

0.5268

14.9716

0.0668

7.8869

0.1268

12

2.0122

0.4970

16.8699

0.0593

8.3838

0.1193

13

2.1329

0.4688

18.8821

0.0530

8.8527

0.1130

14

2.2609

0.4423

21.0151

0.0476

9.2950

0.1076

15

2.3966

0.4173

23.2760

0.0430

9.7122

0.1030

16

2.5404

0.3936

25.6725

0.0390

10.1059

0.0990

17

2.6928

0.3714

28.2129

0.0354

10.4773

0.0954

18

2.8543

0.3503

30.9057

0.0324

10.8276

0.0924

19

3.0256

0.3305

33.7600

0.0296

11.1581

0.0896

20

3.2071

0.3118

36.7856

0.0272

11.4699

0.0872

21

3.3996

0.2942

39.9927

0.0250

11.7641

0.0850

22

3.6035

0.2775

43.3923

0.0230

12.0416

0.0830

23

3.8197

0.2618

46.9958

0.0213

12.3034

0.0813

24

4.0489

0.2470

50.8156

0.0197

12.5504

0.0797

25

4.2919

0.2330

54.8645

0.0182

12.7834

0.0782

26

4.5494

0.2198

59.1564

0.0169

13.0032

0.0769

27

4.8223

0.2074

63.7058

0.0157

13.2105

0.0757

28

5.1117

0.1956

68.5281

0.0146

13.4062

0.0746

29

5.4184

0.1846

73.6398

0.0136

13.5907

0.0736

30

5.7435

0.1741

79.0582

0.0126

13.7648

0.0726

31

6.0881

0.1643

84.8017

0.0118

13.9291

0.0718

32

6.4534

0.1550

90.8898

0.0110

14.0840

0.0710

33

6.8406

0.1462

97.3432

0.0103

14.2302

0.0703

34

7.2510

0.1379

104.1838

0.0096

14.3681

0.0696

35

7.6861

0.1301

111.4348

0.0090

14.4982

0.0690

Table Iii.11

30% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F, i,n

F/A,i,n

A/F,i,n

P/A,i,n

A/P, i,n

1

1.3000

0.7692

1.0000

1.0000

0.7692

1.3000

2

1.6900

0.5917

2.3000

0.4348

1.3609

0.7348

3

2.1970

0.4552

3.9900

0.2506

1.8161

0.5506

4

2.8561

0.3501

6.1870

0.1616

2.1662

0.4616

5

3.7129

0.2693

9.0431

0.1106

2.4356

0.4106

6

4.8268

0.2072

12.7560

0.0784

2.6427

0.3784

7

6.2749

0.1594

17.5828

0.0569

2.8021

0.3569

8

8.1573

0.1226

23.8577

0.0419

2.9247

0.3419

9

10.6045

0.0943

32.0150

0.0312

3.0190

0.3312

10

13.7858

0.0725

42.6195

0.0235

3.0915

0.3235

11

17.9216

0.0558

56.4053

0.0177

3.1473

0.3177

12

23.2981

0.0429

74.3270

0.0135

3.1903

0.3135

13

30.2875

0.0330

97.6250

0.0102

3.2233

0.3102

14

39.3738

0.0254

127.9125

0.0078

3.2487

0.3078

15

51.1859

0.0195

167.2863

0.0060

3.2682

0.3060

16

66.5417

0.0150

218.4722

0.0046

3.2832

0.3046

17

86.5042

0.0116

285.0139

0.0035

3.2948

0.3035

18

112.4554

0.0089

371.5180

0.0027

3.3037

0.3027

19

146.1920

0.0068

483.9734

0.0021

3.3105

0.3021

20

190.0496

0.0053

630.1655

0.0016

3.3158

0.3016

21

247.0645

0.0040

820.2151

0.0012

3.3198

0.3012

22

321.1839

0.0031

1067.2796

0.0009

3.3230

0.3009

23

417.5391

0.0024

1388.4635

0.0007

3.3254

0.3007

24

542.8008

0.0018

1806.0026

0.0006

3.3272

0.3006

25

705.6410

0.0014

2348.8033

0.0004

3.3286

0.3004

26

917.3333

0.0011

3054.4443

0.0003

3.3297

0.3003

27

1192.5333

0.0008

3971.7776

0.0003

3.3305

0.3003

28

1550.2933

0.0006

5164.3109

0.0002

3.3312

0.3002

29

2015.3813

0.0005

6714.6042

0.0001

3.3317

0.3001

30

2619.9956

0.0004

8729.9855

0.0001

3.3321

0.3001

31

3405.9943

0.0003

11349.9811

0.0001

3.3324

0.3001

32

4427.7926

0.0002

14755.9755

0.0001

3.3326

0.3001

33

5756.1304

0.0002

19183.7681

0.0001

3.3328

0.3001

34

7482.9696

0.0001

24939.8985

0.0000

3.3329

0.3000

35

9727.8604

0.0001

32422.8681

0.0000

3.3330

0.3000

Table Iii.10

25% Interest Factors for Annual Compounding

Single Payment

Equal-Payment Series

n

Future-Worth Factor

Present-Worth Factor

Future-Worth Factor

Annual-Worth Factor

Present-Worth Factor

Annual-Worth Factor

To Find F

To Find P

To Find F

To Find A

To Find P

To Find A

Given P

Given F

Given A

Given F

Given A

Given P

F/P,i,n

P/F,i,n

F/A ,i,n

A/F,i,n

P/A,i,n

A/P,i,n

1

1.2500

0.8000

1.0000

1.0000

0.8000

1.2500

2

1.5625

0.6400

2.2500

0.4444

1.4400

0.6944

3

1.9531

0.5120

3.8125

0.2623

1.9520

0.5123

4

2.4414

0.4096

5.7656

0.1734

2.3616

0.4234

5

3.0518

0.3277

8.2070

0.1218

2.6893

0.3718

6

3.8147

0.2621

11.2588

0.0888

2.9514

0.3388

7

4.7684

0.2097

15.0735

0.0663

3.1611

0.3163

8

5.9605

0.1678

19.8419

0.0504

3.3289

0.3004

9

7.4506

0.1342

25.8023

0.0388

3.4631

0.2888

10

9.3132

0.1074

33.2529

0.0301

3.5705

0.2801

11

11.6415

0.0859

42.5661

0.0235

3.6564

0.2735

12

14.5519

0.0687

54.2077

0.0184

3.7251

0.2684

13

18.1899

0.0550

68.7596

0.0145

3.7801

0.2645

14

22.7374

0.0440

86.9495

0.0115

3.8241

0.2615

15

28.4217

0.0352

109.6868

0.0091

3.8593

0.2591

16

35.5271

0.0281

138.1085

0.0072

3.8874

0.2572

17

44.4089

0.0225

173.6357

0.0058

3.9099

0.2558

18

55.5112

0.0180

218.0446

0.0046

3.9279

0.2546

19

69.3889

0.0144

273.5558

0.0037

3.9424

0.2537

20

86.7362

0.0115

342.9447

0.0029

3.9539

0.2529

21

108.4202

0.0092

429.6809

0.0023

3.9631

0.2523

22

135.5253

0.0074

538.1011

0.0019

3.9705

0.2519

23

169.4066

0.0059

673.6264

0.0015

3.9764

0.2515

24

211.7582

0.0047

843.0329

0.0012

3.9811

0.2512

25

264.6978

0.0038

1054.7912

0.0009

3.9849

0.2509

26

330.8722

0.0030

1319.4890

0.0008

3.9879

0.2508

27

413.5903

0.0024

1650.3612

0.0006

3.9903

0.2506

28

516.9879

0.0019

2063.9515

0.0005

3.9923

0.2505

29

646.2349

0.0015

2580.9394

0.0004

3.9938

0.2504

30

807.7936

0.0012

3227.1743

0.0003

3.9950

0.2503

31

1009.7420

0.0010

4034.9678

0.0002

3.9960

0.2502

32

1262.1774

0.0008

5044.7098

0.0002

3.9968

0.2502

33

1577.7218

0.0006

6306.8872

0.0002

3.9975

0.2502

34

1972.1523

0.0005

7884.6091

0.0001

3.9980

0.2501

35

2465.1903

0.0004

9856.7613

0.0001

3.9984

0.2501

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