Blank L., Tarquin A. Engineering Economy (McGraw-Hill Series in Industrial Engineering and Management)

Compound Interest Fac

to

r Tables

755

50% TABLE

29

Discrete Cash Flow: Compo

un

d Interest Factors 50%

Single

Payment

s Uniform

Series

Payments

Arithmetic Gr

ad

ie

nt

s

Compound

Pr

es

ent

Sinking

Compound

Capital

Pres

ent

Gradient

Gr

adie

nt

Amount

Worth

Fund

Amount

Recovery

Worth

Present

Worth

Unifo

rm

Se

ri

es

n

FIP PIF

A/F F/A

AlP PIA

PIG AIG

I 1.5000 0.66

67

1.00000 1.0000

1.

50000 0.6667

2 2.2500 0.4444

0.40000 2.5000 0.90000

1.1

1

11

0.4444

0.4000

3 3.3750 0.2963

0.

21053 4.7500

0.

71053 1.4074

1.

0370 0.7368

4

5.

0625

0.

1975 0.12308

8.

1250 0.62308 1.6049

1.6296

1.0

154

5 7.5938 0.1317 0.07583 1

3.

1875 0.57583

1.

7366

2.

1564

1.2417

6

11

.3906 0.0878 0.04812 20.7813 0.54812

1.

8244

2.5

95

3 1.4226

7 1

7.

0859 0.0585

0.

03 108

32.1719

0.53

10

8 1.8829 2.9465 1.5648

8

25.6289

0.0390

0.02030

49.2578

0.52030

1.9220

3.2196 1.6752

9 38.

44

34 0.0260 0.

01

335 74.8867

0.

51335 1.9480

3.4277 1.7596

10 57.6650 0.01

73

0.00882 113.330 1 0.50882 1.9653

3.5838

1.8235

II

86.4976 0.0

11

6

0.00585

170.995 1

0.50585 1.9769

3.

6994

1.

87 13

12

129.7463 0.00

77

0.00388

257.4927

0.50388

1.

9846 3.7842 1

.9

068

13

194.61

95

000

5 I 0.00258

387.2390

0.50258 1.9897 3.8459 1.9329

14 29

1.

9293 0.0034 0.00 172 58 1.8585 0.50172 1.9931

3.8904

1.

95

19

15

437.8939

0.0023

0.00

11

4 873.7878 0.50

11

4

1.

9954 3.9224 1.9657

16

65

6.8408

0.0015

0.00076 13 1

1.

68 0

.5

0076 1.9970 3.9452 1.9756

17

985.2613

0.00 10

0.

00

05 1

1968.52

0.5005 1 1.9980 3.96 14 1.9827

18 1477.89

0.0007

0.

00034 2953.78 0.50034 1.9986 3.9729 1.9878

19 2216.84

0.0005

0.

00023 443

1.

68 0.50023

1.

9991 3.98

11

1.9914

20

3325.26 0.0003 0.00015 6648.5 1 0.500

15

1.

9994 3.9868 1.9940

22 748 1.83 0.0001 0.00007 14962 0.50007

1.

9997

3.9936

1.997 1

24 16834 0.000 1

0.00003

33666 0

.5

0003

1.

9999

3.9969

1.9986

25 2525 1 0.00002

50500

0.50002

1.9

999 3.9979

1.9990

26 37877 0.00001 75752 0

.5

000 1 1.9999

3.9985

1.

9993

28

85223 0.00001

0.5000 1 2.0000

3.9993

1.9997

30

05

0000

20

000 3.9997 1.9998

32

0.50000 2.0000 3.9998 1

.9

999

34

0.50000 2.0000

3.

9999 2.0000

35 0

.5

0000 2.0000

3.

9999 2.0000

INDEX

)

A

A,23,26

Ab

s

ol

u

te

cell referenc

in

g,

247

Accelerated Cost Recovery System (ACRS), 534

Accelerated write-o

ff

, 532, 578

Accounting

ratios, 7

19

- 23

statements, 718- 19

Acid-test ra

ti

o, 720

Acquisition phase, 190

Activity based cost

in

g (ABC), 5 1

2-

16

A/F factor, 60

After-tax

an

d alternative selection,

II

, 603

and annual

wo

rth

, 586

-88

cash flow, 575- 77, 586- 92, 606

debt

ve

rsus equity financ

in

g, 6

17

- 19

a

nd

deprecia

ti

on, 532

internation

al

, 603- 5

a

nd

MARR, 353, 586

rate or return, 588- 91

and

WAC

C, 356

After-

ta

x replacement analysis, 595- 99

AIG factor, 68. See also Gradients, a

ri

thmetic

Alternative depreciation system (ADS), 545

Alternatives

attribute-based ratin

g,

368- 69

and breake

ve

n anal

ys

i

s,

287

cash

fl

ow es

ti

mate types, 220- 21

defined,

9-

10

and

EVA

TM

,

600-60

I

and

in

cremental rate-of-return, 5

88-9

0

in

dependent, 170- 72, 283, 330 (see also Capital

budge

tin

g)

infinite life, 228- 31

,33

0

mutually exc

lu

sive, 170

,223

-

28,348-5

1

and payback analysis, 186

reve

nu

e,

172

selection, I I

service, 172

in

simula

ti

on, 678, 679

Amortization.

See Depreciation

An

nu

al

in

come, es

ti

mated, 10

Annual interest rate

e

ff

ective, 1

30-36

nominal, 130, 13 I

Annual operating costs (AOC),

10

, 220, 391-92,

451

and estimation, 496

-9

7

in

Excel® spreadsheet,

702-3

Annual Percentage Rate (APR), 127

-28

Annu

al

Percentage Yield (APY), 127- 28

Annual

wOlth

advantages, 218, 254

after-tax analysis, 586

-88

of

an

nu

al operat

in

g costs,

391

a

nd

BIC

analysi

s,

321

-23,

326, 333

and breakeven analys

is

, 451

and capita1-recovery-plus-interest,

221

- 23

components, 22 1- 23

computer so

lu

tion

s,

225, 227-28, 230-

31

equ

iv

alent uniform,

221

, 229

eva

lu

ation

by

, 218-31

and

EVATM

, 600-603

and future worth, 2

18

a

nd

incremental ra

te

of

return, 588-91

of

infinite-life projects, 228-31

and

infl

ation, 21

8,

485-86

and present worth, 218

and rate

of

return, 248,

291-92

and replacement analysis, 388, 390, 392- 96,

404

-10

a

nd

sensitivity analysis, 623

when

to

use, 350 (table)

AOe.

See Annual operating costs

AlP

factor,

58-59

, 22 1

APR,

127

-2

8

APY, 1

27-28

Arithmetic gradient

s.

See Gradients, arithmetic

As

set

s.

See also Compounding

Compounding

annual,

130-36, 1

51

continuous, 1

49-5

1

doubling time, 18

-2

2, 35

frequency, 128, 135,

136

interpe

ri

od, 1

47-49

and simple

in

terest, 1

7-22

759

760

Compounding period

continuous,

14

9-

51

defined, 1

28

INDEX

and effective annual rate, 132 (ta

bl

e)

monthl

y,

141

(table)

numb

er per

yea

r, 130

and payment pe

ri

od, 139-49

Computers

, uses, 26-28, 36-39. See also

Sp

readsheets

Construction costs, change

in

, 71

Construct

ion s

ta

ge,

191

Contingent projects, 424

Continuous

compo

und

in

g, 1

49-5

1

Contracts, types, 3 I 8

Conventional benefit/cost ra

ti

o, 3

19

- 20

Conventional cash flow se

ri

es, 249, 261

Conventional gra

di

ent, 66-70

Convertible bonds,

195

Corporations

fi

nancial worth, 600- 60 I

leveraged, 363- 64

Cost

, first,

10

Cost

, I i fe-cycle, 190-

93

Cost-capacity equ

at

ions, 503- 5

Cos

t cente

rs

, 508-

10

Co

st components, 496- 98

Cost

de

pl

etion. See Depletion

Cost

dri vers, 512- 16

Cost

estimation

approaches,

497-

99

cost-capac

it

y method, 503-5

and cost indexes, 499- 503

factor method, 505-7

and inflation,

14

-

15

unit method, 499

Cost

indexes, 499- 503

Cost

of

capital

and debt-equity

mi

x,

355-

57

, 362-64

for de

bt

financ

in

g, 3

57

- 59

de

fin

ed, 28-30, 3

51

-

52

for equity

fin

anc

in

g, 359- 62

ve

rsus

MARR

,

28

,

35

1- 54

weighted average, 29-30,

355-

57

Cost-or-goods-sold, 508, 510,

718-

19

stat

eme

nt, 71

8-

19

Cost

of invested

ca

pital, 600-60 I

Cost

pool, 512- 16

Costs. See also

Cap

it

al cost;

In

cremental costs;

Opportunity cost; Total cost relation

and alternative evaluation,

172

and annual worth, 221

and

apparent sav

in

gs,

193

of

asset

ow

nership,

22

1

direct, 496- 99, 505-

6,

507

est

imating, 496-99

EUAW

(see Annual worth, eq

ui

valent

unif

orm)

fixed,

444-45, 450

indirect, 505-7,

508-

16

, 719

of

invested capital,

351

- 54, 580

life-cycle,

190

-

93

marginal, 394

operating, 71-73

periodic, 180

in

public projects, 3

15

sign convention, 235

sunk, 389

va

riable, 444-45, 451 , 454

Co

upon rate,

194

CRR.

See

Composite

rate

of

return

Cum

ul

ative cash

fl

ow

sign test, 250

Cumulative

distribution, 66 1

-66

Curr

ent

assets, 717

Current

li

abilities, 720

Current ratio, 720

D

DB function, 537, 703-4

DDB function, 537-40, 704

Debenture

bonds,

195

Debt

capital, 352, 357- 59

Debt-equity mix, 355-

57

, 362-64

Debt financing, 29, 352

on balance sheet, 717

cos

ts of, 357-59

and inflation, 479

-8

0

leverag

in

g, 363-64

Debt

r

at

io, 720-

21

Decision making

attributes,

365-69

und

er

certainty, 658, 667

eng

in

ee

ring

economy

role, 7- 9

guide

line, 351

under

ri

sk, 658-

59

, 660-66

under

uncertainty, 659

Decision trees, 635-36

Declining balance depreciation, 533, 536-

37

in

Excel

®,

703-4

, 711-12

D

ec

reas

in

g gradients, 69,

108

-

10

Defender

in

mul

tiple alte

rn

ati

ve

eva

lu

ation, 293, 3

27

in re

pl

acement anal

ys

i

s,

388- 89, 391, 595- 99

Deflati

on

, 473- 74

Del

ph

i me

th

od, 3

65

- 66

Dependent project

s,

424

Deple

ti

on

cost, 546--47, 548

percentag

e,

547

--4

8

Deprecia

ti

on. See also Rate

of

deprecia

ti

on; Recaptured

depreciation; Replacement anal

ys

is

accele

ra

ted, 532

AC

RS

,53

4

alte

rn

a

ti

ve system, 545

book, 532,

534, 600

class

li

f

e,

54

7--4

8

declining balance, 533, 536-

37

,

711

- 12

d

efi

ned, 532

dou

bl

e declin

in

g balanc

e,

53

7--4

0

a

nd

E

VA

, 606

GDS, 545

half-year convention, 533, 542

and

in

come taxes, 530, 5

34-3

5, 575- 76

MACRS, 534, 541

--45

, 564-

67

present

wo

rth, 560

recovery peri

od

for, 541, 545

--46

, 549, 562

not used, 534

rate

of

, 533

recovery rate, 533

straight

lin

e, 533, 535

-36,

549

Ex

cel®

fun

ction

s,

710- 13

straight

lin

e alte

rn

ati

ve

, 54 1

--42

sum-of-year

di

g

it

s, 533, 555- 57,

711

switching methods, 557- 62, 7

11

- 12

tax

, 532

Descartes' r

ul

e,

249- 50,

25

1

,2

53

Design stages, prel

im

in

ary and detailed, 190, 193

Design-to-cost approach, 497- 99

Different-

li

fe alte

rn

atives,

1.74

-

77

, 197- 99

D

ir

ect bene

fit

s,

3

27

-

28

Di

rect costs, 496- 99, 505- 7

Disbene

fit

s, 315, 319- 20

Di

sbursements, 3 1, 244

Di

scount rate, 316, 333

Discou

nt

ed-cash-

fl

ow, 1

68

, 633

Discou

nt

ed payback ana

ly

sis, 1

85

- 89

Discrete cash

fl

ows

com

po

un

d

in

terest factors (t

ab

les), 727-

55

discrete compo

un

d

in

g, 147, 150

Disposal stage, 191

INDEX

Di

stribu

ti

on

normal, 688- 91

standard normal,

68

8-9

1

triang

ul

ar, 663,

66

5- 66

uni

fo

rm

, 663, 664, 670

Distribution est

im

ates, 31

Di

vi

dends, 194, 359-60

Do

ll

ars, today

ve

rsus future, 47

2-7

3

Do

-n

othing a

lt

e

rn

a

ti

ve,

11

, 170, 1

73

and

B/C

ana

ly

s

is

, 325

a

nd

indepe

nd

ent projects, 425, 426

and rate of return, 282-

83

, 292-

93

,

29

5

Double declining balance, 537, 543--45

in

Excel

®,

540, 704

in

switc

hi

ng

, 557-62

a

nd

taxes, 578

Doubling tim

e,

35

E

Economic equivalence. See Equi

va

lence

Economic service

li

fe (ESL

),

388, 391-

97

, 402

Econo

mi

c

va

lu

e added, 220, 600- 603, 606

Effective inter

es

t rate

an

nu

al, 130- 35

for any time pe

ri

od, 1

36-38

of

bonds, 196

and compounding periods, 132 (ta

bl

e

),

136- 38

fo

r continuous compo

un

ding, 149-

51

de

fin

ed, 1

27

- 28, 1

53

fl

ow cha

rt

, 165

and nominal ra

te

, 571

,59

5

Effective t

ax

rate, 571, 595

Efficiency ratio

s,

719

End-of-period convention,

31- 32

Engineering economy

de

fin

ed, 6

role

in

decision-mak

in

g,

7-9

study approach, 9-

11

terminology and symbols,

23

uses, 6- 9

761

Equal-service a

lt

e

rn

atives, 172- 74, 282, 297- 300, 592

Eq

ui

ty

fi

nanc

in

g,

29- 30, 352

cost

of

, 359- 62

Equivalence, 1

5-

17

, 20- 22, 243

compounding peri

od

greater than

pay

ment

pe

ri

od, 14

7--49

compounding pe

ri

od less

th

an payment

pe

ri

od, 139--46

762

INDEX

Equivalent annual cost.

See Annual worth

Eq

ui

valent annual worth. See Annual worth

Eq

ui

va

lent uniform annual cost, 388. See aLso

Annual worth

Eq

ui

valent uniform annual worth. See

Annual worth

Error distribution.

See Normal di stribution

ESL. See Econo

mi

c service life

E-sol

ve,28

Est

im

ation

and alte

rn

atives,

10

of

cash

fl

ow,

11

,3

0

-34

, 3

15

- 16

of

doubling time, 35

factor me

th

od,

505-7

of

interest rates, 35

a

nd

sen

si

ti

vity analysis, 622,

629-3

1

before tax

MARR,

589

a

nd

un

certainty, 7

(s

ee also Uncertainty)

EUAC. See Annual wo

rth

EUAW. See An

nu

al

worth, equivalent uniform

Eva

lu

a

ti

on criteria,

11

,348

- 51

Eva

lu

ation method,

348-5

1

EVA.

See Economic value added

Excel

®.

Blank L., Tarquin A. Engineering Economy (McGraw-Hill Series in Industrial Engineering and Management)

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