Values of Interest Factors When n Equals Infinity

Single Payment: Uniform Payment Series: (F/P, i, ∞) = ∞

(A/F, i, ∞) = 0

(P/F, i, ∞) = 0

(A/P, i, ∞) = i

Arithmetic Gradient Series:

(F/A, i, ∞) = ∞

(A/G, i, ∞) = 1/ i (P/A, i, ∞) = 1/ i (P/G, i, ∞) = 1/ i 2

APPENDIX C: COMPOUND INTEREST TABLES 595

1/4% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

596 APPENDIX C: COMPOUND INTEREST TABLES

1/2% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 597

3/4% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

598 APPENDIX C: COMPOUND INTEREST TABLES

1% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 599

11/4% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

600 APPENDIX C: COMPOUND INTEREST TABLES

11/2 % Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 601

13/4% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

602 APPENDIX C: COMPOUND INTEREST TABLES

2% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 603

21/2 % Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

604 APPENDIX C: COMPOUND INTEREST TABLES

3% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 605

31/2 % Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

606 APPENDIX C: COMPOUND INTEREST TABLES

4% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 607

41/2 % Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P

P/F

A/F

A/P

F/A

P/A

A/G P/G n

608 APPENDIX C: COMPOUND INTEREST TABLES

5% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 609

6% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

610 APPENDIX C: COMPOUND INTEREST TABLES

7% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 611

8% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

612 APPENDIX C: COMPOUND INTEREST TABLES

9% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 613

10% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

614 APPENDIX C: COMPOUND INTEREST TABLES

12% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 615

15% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

616 APPENDIX C: COMPOUND INTEREST TABLES

18% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 617

20% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

618 APPENDIX C: COMPOUND INTEREST TABLES

25% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 619

30% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

620 APPENDIX C: COMPOUND INTEREST TABLES

35% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 621

40% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

622 APPENDIX C: COMPOUND INTEREST TABLES

45% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 623

50% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

624 APPENDIX C: COMPOUND INTEREST TABLES

60% Single Payment

Compound Interest Factors

Arithmetic Gradient Compound

Uniform Payment Series

Gradient Gradient Amount

Uniform Present Factor

Series Worth Find F

Find A Find P Given P

Find P

Find A

Find F

Find P

Given G Given G n

Given F

Given P

Given A

F/P P/F

A/F

A/P

F/A

P/A

A/G P/G n

APPENDIX C: COMPOUND INTEREST TABLES 625

Continuous Compounding—Single Payment Factors

Compound

Compound Present Amount

Present

Amount Worth Factor

Worth

Factor Factor ern

Factor

e − rn Find F

e − rn

ern

Find F Find P Given P

Find P

Given P Given F rn

Find F

P/F .01

F/P

P/F

F/P

1.0101

.9900

.51

1.6653 .6005

.02

1.0202

.9802

.52

1.6820 .5945

.03

1.0305

.9704

.53

1.6989 .5886

.04

1.0408

.9608

.54

1.7160 .5827

.05

1.0513

.9512

.55

1.7333 .5769

.06

1.0618

.9418

.56

1.7507 .5712

.07

1.0725

.9324

.57

1.7683 .5655

.08

1.0833

.9231

.58

1.7860 .5599

.09

1.0942

.9139

.59

1.8040 .5543

.10

1.1052

.9048

.60

1.8221 .5488

.11

1.1163

.8958

.61

1.8404 .5434

.12

1.1275

.8869

.62

1.8589 .5379

.13

1.1388

.8781

.63

1.8776 .5326

.14

1.1503

.8694

.64

1.8965 .5273

.15

1.1618

.8607

.65

1.9155 .5220

.16

1.1735

.8521

.66

1.9348 .5169

.17

1.1853

.8437

.67

1.9542 .5117

.18

1.1972

.8353

.68

1.9739 .5066

.19

1.2092

.8270

.69

1.9937 .5016

.20

1.2214

.8187

.70

2.0138 .4966

.21

1.2337

.8106

.71

2.0340 .4916

.22

1.2461

.8025

.72

2.0544 .4868

.23

1.2586

.7945

.73

2.0751 .4819

.24

1.2712

.7866

.74

2.0959 .4771

.25

1.2840

.7788

.75

2.1170 .4724

.26

1.2969

.7711

.76

2.1383 .4677

.27

1.3100

.7634

.77

2.1598 .4630

.28

1.3231

.7558

.78

2.1815 .4584

.29

1.3364

.7483

.79

2.2034 .4538

.30

1.3499

.7408

.80

2.2255 .4493

.31

1.3634

.7334

.81

2.2479 .4449

.32

1.3771

.7261

.82

2.2705 .4404

.33

1.3910

.7189

.83

2.2933 .4360

.34

1.4049

.7118

.84

2.3164 .4317

.35

1.4191

.7047

.85

2.3396 .4274

.36

1.4333

.6977

.86

2.3632 .4232

.37

1.4477

.6907

.87

2.3869 .4190

.38

1.4623

.6839

.88

2.4109 .4148

.39

1.4770

.6771

.89

2.4351 .4107

.40

1.4918

.6703

.90

2.4596 .4066

.41

1.5068

.6637

.91

2.4843 .4025

.42

1.5220

.6570

.92

2.5093 .3985

.43

1.5373

.6505

.93

2.5345 .3946

.44

1.5527

.6440

.94

2.5600 .3906

.45

1.5683

.6376

.95

2.5857 .3867

.46

1.5841

.6313

.96

2.6117 .3829

.47

1.6000

.6250

.97

2.6379 .3791

.48

1.6161

.6188

.98

2.6645 .3753

.49

1.6323

.6126

.99

2.6912 .3716

.50

1.6487

.6065

1.00 2.7183 .3679

Values of Interest Factors When n Equals Infinity