7 Chapter 2 Factors: How Time and Interest Affect Money Progressive - - PowerPoint PPT Presentation

7
SMART_READER_LITE
LIVE PREVIEW

7 Chapter 2 Factors: How Time and Interest Affect Money Progressive - - PowerPoint PPT Presentation

Chapter 1 Foundations of Engineering Economy 1.1 Engineering Economics: Description and Role in Decision Making 1.2 Performing an Engineering Economy Study 1.3 Professional Ethics and Economic Decisions 1.4 Interest Rate and Rate of Return


slide-1
SLIDE 1

Chapter 1 Foundations of Engineering Economy 1.1 Engineering Economics: Description and Role in Decision Making 1.2 Performing an Engineering Economy Study 1.3 Professional Ethics and Economic Decisions 1.4 Interest Rate and Rate of Return 1.5 Terminology and Symbols 1.6 Cash Flows: Estimation and Diagramming 1.7 Economic Equivalence 1.8 Simple and Compound Interest 1.9 Minimum Attractive Rate of Return 1.10 Introduction to Spread sheet Use

7

slide-2
SLIDE 2

Chapter 2 Factors: How Time and Interest Affect Money

– Progressive Example-The Cement Factory Case 2.1 Single-Amount Factors (F/P and P/F) 2.2 Uniform Series Present Worth Factor and Capital Recovery Factor (P/A and A/P) 2.3 Sinking Fund Factor and Uniform Series Compound Amount Factor (A/F and F/A) 2.4 Factor Values for Untabulated i or n Values 2.5 Arithmetic Gradient Factors (P/G and A/G) 2.6 Geometric Gradient Series Factors 2.7 Determining i or n for Known Cash Flow Values

8

slide-3
SLIDE 3

Chapter 3 Combining Factors and Spread sheet Functions

3.1 Calculations for Uniform Series That Are Shifted 3.2 Calculations Involving Uniform Series and Randomly Placed Single Amounts 3.3 Calculations for Shifted Gradients 9

slide-4
SLIDE 4

Chapter 4 Nominal and Effective Interest Rates

Progressive Example -The Credit Card Offer Case

4.1 Nominal and Effective Interest Rate Statements 4.2 Effective Annual Interest Rates 4.3 Effective Interest Rates for Any Time Period 4.4 Equivalence Relations: Payment Period and Compounding Period 4.5 Equivalence Relations: Single Amounts with PP ≥CP 4.6 Equivalence Relations: Series with PP ≥CP 4.7 Equivalence Relations: Single Amounts and Series with PP < CP 4.8 Effective Interest Rate for Continuous Compounding 4.9 Interest Rates That Vary over Time

10

slide-5
SLIDE 5

11

Chapter 5 Present Worth Analysis

Progressive Example-Water for Semiconductor Manufacturing Case 5.1 Formulating Alternatives 5.2 Present Worth Analysis of Equal-Life Alternatives 5.3 Present Worth Analysis of Different-Life Alternatives 5.4 Future Worth Analysis 5.5 Capitalized Cost Analysis

slide-6
SLIDE 6

12

Chapter 6 Annual Worth Analysis

6.1 Advantages and Uses of Annual Worth Analysis 6.2 Calculation of Capital Recovery and AW Values 6.3 Evaluating Alternatives by Annual Worth Analysis 6.4 AW of a Permanent Investment 6.5 Life-Cycle Cost Analysis

slide-7
SLIDE 7

13

Chapter 7 Rate of Return Analysis: One Project

7.1 Interpretation of a Rate of Return Value 7.2 Rate of Return Calculation Using a PW or AW Relation 7.3 Special Considerations When Using the ROR Method 7.4 Multiple Rate of Return Values 7.5 Techniques to Remove Multiple Rates of Return

7.6 Rate of Return of a Bond Investment

slide-8
SLIDE 8

14

Chapter 8 Rate of Return Analysis: Multiple Alternatives

8.1 Why Incremental Analysis Is Necessary 8.2 Calculation of Incremental Cash Flows for ROR Analysis 8.3 Interpretation of Rate of Return on the Extra Investment 8.4 Rate of Return Evaluation Using PW: Incremental and Breakeven 8.5 Rate of Return Evaluation Using AW 8.6 Incremental ROR Analysis of Multiple Alternatives 8.7 All-in-One Spread sheet Analysis (Option al)

slide-9
SLIDE 9

15

Chapter 8 Rate of Return Analysis: Multiple Alternatives

8.1 Why Incremental Analysis Is Necessary 8.2 Calculation of Incremental Cash Flows for ROR Analysis 8.3 Interpretation of Rate of Return on the Extra Investment 8.4 Rate of Return Evaluation Using PW: Incremental and Breakeven 8.5 Rate of Return Evaluation Using AW 8.6 Incremental ROR Analysis of Multiple Alternatives 8.7 All-in-One Spread sheet Analysis (Option al)

slide-10
SLIDE 10

16

Chapter 9 Benefit/Cost Analysis and Public Sector Economics

Progressive Example-Water Treatment Facility #3 Cases 9.1 Public Sector Project 9.2 Benefit/Cost Analysis of a Single Project 9.3 Alternative Selection Using Incremental HIC Analysis 9.4 Incremental BIC Analysis of Multiple, Mutually Exclusive Alternatives 9.5 Service Sector Projects and Cost-Effectiveness Analysis 9.6 Ethical Considerations in the Public Sector

slide-11
SLIDE 11

17

slide-12
SLIDE 12

18

slide-13
SLIDE 13

CHAPTER 1

Foundations Of Engineering Economy

Lecture slides to accompany Engineering Economy 7th edition Leland Blank Anthony Tarquin

19

slide-14
SLIDE 14

Learning Objectives

!

→ "

20

slide-15
SLIDE 15

Learning Objectives

# "

→ $

% &'

→ '

( !

→ )

* !$

→ "

  • $

+ !

→ " &,- ' $

21

slide-16
SLIDE 16

Learning Objectives

. / 0' 1 1

→ / 0' 1 1 2/0113

4 )

→ 5 5

$

→ * $ $

!

→ '

  • ''
  • 5 '

22

slide-17
SLIDE 17

Chapter Overview

  • &

' '5 ' '' '

  • '

$ 2$ 3 2$ 3 ' $ $ 5 $5 ' $5 ' 5 5

23

slide-18
SLIDE 18

Chapter Overview

  • /011 $ $

'

  • 05 $

→ → $ ' → & ' → 6 → ' → )

24

slide-19
SLIDE 19

What is Engineering Economy?

& & → & & '' 5 5

  • '
  • '

'$

25

slide-20
SLIDE 20

Why Engineering Economy is Important to Engineers?

  • &
  • ''
  • & $ $

'

  • 7

'

  • ' 5

'5 '

  • 0 ,

26

slide-21
SLIDE 21

Engineering Economy

  • & & ''

→ 8 → &5 → &'

  • ,
  • '
  • &
  • '
  • &
  • $

27

slide-22
SLIDE 22

General Steps for Decision Making Processes

  • $ 9 $:'
  • ) '
  • $ '
  • "
  • &' ' '
  • ! ;$< '
  • " '

28

slide-23
SLIDE 23

The Big Picture

  • &
  • ''

5

  • ) $

$ =5 ' $ $ 29

slide-24
SLIDE 24

An Engineering Economic Decision

  • 0 / 8

' $ ' 5 , $ 7' $ > $ '$ $ $ ' ) $

30

slide-25
SLIDE 25

What do we need to know to make a decision?

  • ? $ ' '

→ 3 1 , → 3

  • 8 ,

→ → 8 $$ $ → $ $ → & → & ' ' '

  • 31
slide-26
SLIDE 26

What do we need to know to make a decision?

  • 8

→ → → @ A → ' → ' ' → 0 ' A → ? A → " ' A → ? A → ? , A → ? A → ? A

32

slide-27
SLIDE 27

Economic Decision-Making Process

3 ) ' :

→ " ) 5 /5 /5 5 "5 )5 ,5 5 → 0 ) 75 /5 8 5 "5 " ,5 →

  • )

7'5 "'

  • /

→ 0 1 " !' ' → !' B " $ ' $ → 8 / " 1

33

slide-28
SLIDE 28

Economic Decision-Making Process

3 1= 8$ 0'

→ ) $ ;7 67@"6C< ' → ' $ '$ → &, ' ' ' → " ' $ '5

3 ) '

→ D ' 5 '5 5 $ 5

#3 ' $ ' '

→ ' ' C' ' B $ ''

34

slide-29
SLIDE 29

Economic Decision-Making Process

%3 ' $ ,

→ > ; ' < " ' '

(3 ? '5 $ '

→ ' ' $ $

*3 ' ' $ ' '

→ & ' $ / 0' 1 1 2/0113 ' → ! D ;$< ;<

35

slide-30
SLIDE 30

Economic Decision-Making Process +3 &' '5 ' '

→ &' ? 2?35 0 ? 20?35 8 ? 28?35 1 1 217135 )= ) 2))35 EF) 1 2EF)3 $ 0 / 0' 1 1 2/0113

.3 ! $ ' $ $ 36

slide-31
SLIDE 31

Time Value of Money (TVM)

  • / ;< '
  • ' '

'

37

Description: TVM explains the change in the amount of money over time for funds owed by or owned by a corporation (or individual)

Corporate investments are expected to earn a return Investment involves money Money has a ‘time value’

slide-32
SLIDE 32

Steps in an Engineering Economy Study 38

slide-33
SLIDE 33

Interest and Interest Rate

  • " 9 '

8 G → $ $ → "'

"6&1&! H )11&6 B0D& 71"C"60D 0/76

→ D

"6&1&! H )11&6 70D 7?& 71"C"60D 0/76

→ ;<

39

slide-34
SLIDE 34

Interest and Interest Rate

  • " 9 " '

,

→ , → 1$ "

  • $

'

  • '

D "'

40

slide-35
SLIDE 35

Interest and Interest Rate

  • " H 2

3

  • &, 0 $ I45444 J

I45.44 8

→ " H I45.44 I45444 H I.44 → H .44F45444 H .K

41

slide-36
SLIDE 36

Rate of Return (ROR)

  • " ' ,

23 42

  • EG ' 9
  • DG 'G ' 9
slide-37
SLIDE 37

43

Interest paid Interest earned

Interest rate Rate of return

slide-38
SLIDE 38

Commonly used Symbols

  • 5

' 4 8 ' 5 H

  • '5

5

  • $ L 5
  • L

44

slide-39
SLIDE 39

Parameters and Cash Flows

8 2' 3 → & : → & 2' , ' '3 → "

  • ) 8

→ & 9 '5 ' '5 9 ' → & ' 5 5 , 9 '

45

slide-40
SLIDE 40

Cash Flow

  • & : '

' ,

→ 8 ,5 ,' $ 5 ' → '$

  • & : $

$ 2,3 46

slide-41
SLIDE 41

Cash Flows: Terms

  • ) " 9 1' 2135 5 5

' $ : '

  • )

7 9 $ 235 5 ,5 , $ : ' /

  • 6 ) 8 26)83

→ 6)8 H 9 H 1 9

  • &

→ 8 '

47

slide-42
SLIDE 42

Categories of Cash Flows

  • , :

→ 8 , $ $ → 7 27M/3 ,5 5 $5 → !' ' : 2 $ ' 3 → 1' ' → 7' : , G

48

slide-43
SLIDE 43

Cash Flows: Estimating

  • 9 0 '

'

→ ) " H I%45444

  • 1 9 / , '

→ ) ) $ I% / I /

49

Point estimates are commonly used; however, range estimates with probabilities attached provide a better understanding of variability of economic parameters used to make decisions

slide-44
SLIDE 44

Cash Flow diagrams

  • $ : '

= 2)83 !5 )8 =5 5 ' 5 $

  • 0 )8 $

$ = 5 ' & 5 ' ' $ ' 50

slide-45
SLIDE 45

Drawing a Cash Flow Diagram

  • " 2)83

$ 2O3

  • E 5 5
  • & 7M/5 '5 '5

'

  • 4 $ " $ :

5 '5 $

  • 7 G 2 ' '3

G 2 ' '3

  • " $

' $

51

slide-46
SLIDE 46

Cash Flow Diagrams

  • ?

  • ! 2 , 3

52

  • One time

period

  • 0 1 2 … … … n1 n

PHPI+4 Cash flows are shown as directed arrows: + (up) for inflow (down) for outflow

slide-47
SLIDE 47

An Example of Cash Flow Diagram

  • 0 $ I5444 $ +K

5 I444 0 5

  • ) $

& ) 4 OI444

  • I%+4 2I%44 I+43
  • I%#4 2I%44 I#43

53

slide-48
SLIDE 48

Cash Flow Diagram 54

$1,000 1 2 $580 $540

slide-49
SLIDE 49

Cash Flow Diagram Example

  • $' ' +

, I%4 ! 23 5 H 4

55

slide-50
SLIDE 50

Economic Equivalence

  • )$ 2

3 ' '

  • @

' 2' 5 8 03 $ H 45 5 Q5 ' 2 3 56

slide-51
SLIDE 51

Example of Equivalence

  • $

' '

  • I44 ' I4

5 I44 ' 4K

  • 57

0 1

I44P I4

1PPPHP4KPP

>

slide-52
SLIDE 52

Equivalence Illustrated

  • I44 I4
  • E5 I44 ' I4

4K

  • ' '

→ → 2K 3 → 6$ 263

58

slide-53
SLIDE 53

Simple and Compound Interest

  • ! "

→ "

" H 232$ 3 2 3

  • " H 232323
  • &, I445444 H

4K ? A

→ " H 4454442 32443 H I 45444 → H 445444 O 45444 H I 45444

59

slide-54
SLIDE 54

For One Year

  • I45444 $

→ ;0< ; $ <

  • 8 >

60

slide-55
SLIDE 55

End of 3 Years

  • I 45444

61

slide-56
SLIDE 56

Simple and Compound Interest

  • ) "

→ " $ → 5 ' → " H 2 O 3 2 3

  • "

62

slide-57
SLIDE 57

Compound Interest

  • ; ' 5<

→ 0$ &

63

slide-58
SLIDE 58

Compound Interest Cash Flow

  • 8 5 5 '

64

slide-59
SLIDE 59

Compound Interest Example

  • &, I445444 H 4K

? A

→ "5 " H 4454442443 H I45444 → 5 H 445444 O 45444H I45444 → "5 " H 454442443 H I5444 → 5 H 45444 O 5444H I5444 → "5 " H 54442443 H I544 → 5 H 5444 O 544 H I 544

65

Compounded: $133,100 Simple: $130,000

slide-60
SLIDE 60

Compound Interest – Example

" $ I5444 %K 5

  • > I5444 R 44% H I%444

→ H I5444 O I%4 H I54%4 > I54%4 R 44% H I%%4 → H I54%4 O I%% H I54%4 > I54% R 44% H I%% → H I54% O I%% H I5%*(

66

slide-61
SLIDE 61

Compound Interest – Example $ $ $

  • > I5444 24%3 H I54%444
  • > I5444 24%3 H I54%4
  • > I5444 24%3 H I5%*(

" 67

Total due = principal × (1 + interest rate)number of years

slide-62
SLIDE 62

Some Fundamental Laws

  • 8 D & &

68

2

F m a V i R E m c = = =

(1 )N F P i = +

slide-63
SLIDE 63

Practice Problem:

  • ? EG E

@

→ ? $ .(% I+ → ? 20 5 44 3 I*(544 → #%+K → )

  • '

I44 ( E

  • " ' 44 2

* 44 35 G ' $ A

69

slide-64
SLIDE 64

Market Value

  • 0 G

#%+K , * 70

27

$100.36(1 0.2458) $37.902 trillions F= + =

slide-65
SLIDE 65

Economic Equivalence

  • ' ' '

' , ''5 ' $

  • &'
  • 2)83

$ 8 ,5 $ $ $ $ %

  • !5 '

$ '

71

slide-66
SLIDE 66

Economic Equivalence

  • 8 ,5 (K 5 I44

2 3 ' I4(

  • !5 I44 I4(

5 '

  • '

(K

  • 5 5 I44

' I4(

  • 5 I44

' I44F4( H I.# #

72

slide-67
SLIDE 67

P and F

  • $
  • 8
  • " $ '

' 8 73

slide-68
SLIDE 68

Annual Amounts

  • " $ 0

25

  • 3
  • ,
  • '
  • ) 8

74

  • ! "
slide-69
SLIDE 69

Introduction to Spread sheet Functions

  • &,

B5 H B2 K5 5 05 83 8 B5 8 H 8B2 K5 5 05 3 &5 '5 0 H /2 K5 55 83 6$ 5 H 6&122 K5 05 5 83 ) 5 H 10&25 05 5 83 ) 5 H "112 3 '5 5 H 6B2K5 3 O &, & H I%444 H % H %K

8 0 I 8 H /2%K5 %5 %4443 0 H I%#+*

75

slide-70
SLIDE 70

Minimum Attractive Rate of Return

  • /011 $

2 3 $ ' '

  • 0 ' :
  • ,
  • /011
  • 0 5

$

76

Rate of return %

Expected Rate of return on a new proposal Range for the rate of return on accepted proposals, if other proposal were rejected for some reasons MARR Rate of Return on “safe investment All proposals must offer at least MARR to be considered

slide-71
SLIDE 71

MARR Characteristics

  • /011 $ $
  • /011
  • E

' 2?0))3 /011

  • /011

: 77

slide-72
SLIDE 72

Types of Financing

  • & 8 9 8

5 5 G

  • $ 8 9 E

9 5 $5 5 ' 5 "

  • 8PPP:P:

ROR ≥ MARR > WACC 78

slide-73
SLIDE 73

Opportunity Cost

  • D :

23

  • " /011 5 171 :

$

  • &, 0 /011 H 4K : 05

5 : ' 1710 H K : E 171E H %K $

  • 7 K5 5

K $ : 0

79

slide-74
SLIDE 74

Ethics – Different Levels 80

  • Universal morals or ethics – Fundamental

beliefs: stealing, lying, harming or murdering another are wrong

1

  • Personal morals or ethics – Beliefs that an

individual has and maintains over time; how a universal moral is interpreted and used by each person

2

  • Professional or engineering ethics – Formal

standard or code that guides a person in work activities and decision making

3

slide-75
SLIDE 75

Code of Ethics for Engineers

  • 0 ' 6 !
  • &

26!&3

  • L

'

81

slide-76
SLIDE 76

Code of Ethics for Engineers BEM 82

slide-77
SLIDE 77

Code of Ethics for Engineers BEM – Dos and Donts 83

slide-78
SLIDE 78

Chapter Summary

& &

  • '
  • & '
  • " /011
  • !

"

  • !

)

  • )
  • &
  • 6
  • '

&

  • '
  • 2) &3

84

slide-79
SLIDE 79

Assignment 85

slide-80
SLIDE 80

Assignment 86