T9.1 Chapter Outline Chapter 9 Net Present Value and Other Investment Criteria Chapter Organization...
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Transcript of T9.1 Chapter Outline Chapter 9 Net Present Value and Other Investment Criteria Chapter Organization...
T9.1 Chapter Outline
Chapter 9Net Present Value and Other Investment Criteria
Chapter Organization
9.1 Net Present Value
9.2 The Payback Rule
9.3 The Average Accounting Return
9.4 The Internal Rate of Return
9.5 The Profitability Index
9.6 The Practice of Capital Budgeting
9.7 Summary and Conclusions
CLICK MOUSE OR HIT SPACEBAR TO ADVANCE
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 2
Capital Budgeting
In Chapter 1 we defined capital budgeting as ‘the process of planning and managing a firm’s investment in fixed assets’
...probably the most or at least one of the most important issues in corporate finance.
Identifying investment opportunities which offer more value to the firm than their cost - the value of the future cash flows need to be greater than the investment required
estimating the size, timing and risk of future cash flows is the most challenging aspect of capital budgeting
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 3
Investment Criteria
NPV - Net Present Value the difference between an investment’s market value and its cost
Payback - the length of time it takes to recover the initial investment
Discounted Payback the length of time required for an investment’s discounted cash
flows to equal its initial cost
Average Accounting Return - AAR an investment’s average net income divided by its average book
value
Internal Rate of Return the discount rate that makes the NPV of an investment equal to
zero
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 4
Investment Critieria cont’d
The Profitability Index- “PI’ ‘The present value of an investment’s future cash flows divided by
its initial cost
- also known as the benefit/cost ratio
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 5
T9.2 NPV Illustrated
Estimate future cash flows, calculate the PV of these cash flows and then compare to cost of project to arrive at NPV
Assume you have the following information on Project X:
Initial outlay -$1,100 Required return = 10%
Annual cash revenues and expenses are as follows:
Year Revenues Expenses
1 $1,000 $500
2 2,000 1,000
Draw a time line and compute the NPV of project X.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 6
T9.2 NPV Illustrated (concluded)
0 1 2
Initial outlay($1,100)
Revenues $1,000Expenses 500
Cash flow $500
Revenues $2,000Expenses 1,000
Cash flow $1,000
– $1,100.00
+454.55
+826.45
+$181.00
1$500 x 1.10
1$1,000 x 1.10
2
NPV
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 7
T9.3 Underpinnings of the NPV Rule
The foundation of the NPV approach:
A “firm” is created when securityholders supply the funds to acquire assets that will be used to produce and sell a good or a service;
The market value of the firm is based on the present value of the cash flows it is expected to generate;
Additional investments are “good” if the present value of the incremental expected cash flows exceeds their cost;
Thus, “good” projects are those which increase firm value - or, put another way, good projects are those projects that have positive NPVs!
Conclusion - Invest only in projects with positive NPV’s.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 8
Payback Rule
‘length of time it takes to recover the initial investment’ how long does the investment take before I recover my initial
investment? - a break-even in an accounting sense but not in an economic sense
The Payback ‘Rule’ - an investment is considered acceptabe if the payback is less than some prespecified time frame
shortcomings of the payback rule vs the NPV ignores time value of money - simply adds up future cash flows ignores risk differences - payback is calculated the same way for
projects that are risky and ‘safe’ projects determining the cut-off - what should the payback be?? Ignores the cash flows beyond the payback cut-off
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 9
T9.4 Payback Rule Illustrated
Initial outlay -$1,000
Year Cash flow
1 $200
2 400 3 600
Accumulated
Year Cash flow
1 $200 2 600 3 1,200
Payback period = 2 2/3 years
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 10
Discounted Payback
The same basic concept in how long does it take to recover the original investment but in this case the future cash flows are discounted.
‘the length of time it takes for an investment’s discounted cash flows to equal its initial cost.’
break-even in an economic sense
What are its shortcomings? Cash flows beyond the cut-off point are ignored the cut-off point still has to be arbitrarily established
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 11
T9.5 Discounted Payback Illustrated
Initial outlay -$1,000
R = 10%
PV of Year Cash flow Cash flow
1 $ 200 $ 182 2 400 331 3 700 526 4 300 205
Accumulated Year discounted cash flow
1 $ 182 2 513 3 1,039 4 1,244
Discounted payback period is just under 3 years
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 12
T9.6 Ordinary and Discounted Payback (Table 9.3)
Cash Flow Accumulated Cash Flow
Year Undiscounted Discounted Undiscounted Discounted
1 $100 $89 $100 $89
2 100 79 200 168
3 100 70 300 238
4 100 62 400 300
5 100 55 500 355
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 13
Average Accounting Return
‘An investment’s average net income divided by its average book value’ or
‘Some measure of average accounting profit/some measure of average accounting value’
....’a project is acceptable if its average accounting return exceeds a target average accounting return
Advantages easy to calculate readily available accounting information
What are its shortcomings? Ignores time value of money - the average return does not
differentiate between near term returns vs. Returns in the distant future
focuses on net income and book value instead of cash flow and market value
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 14
T9.7 Average Accounting Return Illustrated
Average net income:
Year
1 2 3
Sales $440 $240 $160
Costs 220 120 80
Gross profit 220 120 80
Depreciation 80 80 80
Earnings before taxes 140 40 0
Taxes (25%) 35 10 0
Net income $105 $30 $0
Average net income = ($105 + 30 + 0)/3 = $45
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 15
T9.7 Average Accounting Return Illustrated (concluded)
Average book value:
Initial investment = $240
Average investment = ($240 + 0)/2 = $120
Average accounting return (AAR):
Average net income $45
AAR = = = 37.5% Average book value $120
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 16
Internal Rate of Return or ‘IRR’
‘the discount rate that makes the NPV of an investment equal to zero’
- sometimes called the discounted cash flow or ‘DCF return’
The IRR ‘rule’ suggest that an investment is acceptable if the IRR exceeds the required return.
A viable alternative to the NPV model Used extensively in practice - provides a return figure when
analyzing investments as opposed to a $ figure more difficult to calculate - requires trial and error
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 17
Internal Rate of Return
What are the shortcomings of the IRR approach? Non -conventional cash flows make the calculation much more
difficult Mutually exclusive Investments - meaning we can accept one
project but not another that is under consideration
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 18
T9.8 Internal Rate of Return Illustrated
Initial outlay = -$200
Year Cash flow
1 $ 50 2 100 3 150
Find the IRR such that NPV = 0
50 100 150
0 = -200 + + + (1+IRR)1 (1+IRR)2 (1+IRR)3
50 100 150
200 = + + (1+IRR)1 (1+IRR)2 (1+IRR)3
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 19
T9.8 Internal Rate of Return Illustrated (concluded)
Trial and Error
Discount rates NPV
0% $100
5% 68
10% 41
15% 18
20% -2
IRR is just under 20% -- about 19.44%
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 20
Year Cash flow
0 – $275 1 100 2 100 3 100 4 100
T9.9 Net Present Value Profile
Discount rate
2% 6% 10%
14% 18%
120
100
80
60
40
20
Net present value
0
– 20
– 40
22%
IRR
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 21
Assume you are considering a project for which the cash flows are as follows:
Year Cash flows
0 -$252
1 1,431
2 -3,035
3 2,850
4 -1,000
T9.10 Multiple Rates of Return
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 22
T9.10 Multiple Rates of Return (continued)
What’s the IRR? Find the rate at which the computed NPV = 0:
at 25.00%: NPV = _______
at 33.33%: NPV = _______
at 42.86%: NPV = _______
at 66.67%: NPV = _______
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 23
T9.10 Multiple Rates of Return (continued)
What’s the IRR? Find the rate at which the computed NPV = 0:
at 25.00%: NPV = 0
at 33.33%: NPV = 0
at 42.86%: NPV = 0
at 66.67%: NPV = 0
Two questions: 1. What’s going on here? 2. How many IRRs can there
be?
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 24
T9.10 Multiple Rates of Return (concluded)
$0.06
$0.04
$0.02
$0.00
($0.02)
NPV
($0.04)
($0.06)
($0.08)
0.2 0.28 0.36 0.44 0.52 0.6 0.68
IRR = 1/4
IRR = 1/3
IRR = 3/7
IRR = 2/3
Discount rate
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 25
T9.11 IRR, NPV, and Mutually Exclusive Projects
Discount rate
2% 6% 10%
14% 18%
60
40200
– 20– 40
Net present value
– 60
– 80
– 100
22%
IRR A IRR B
0
140
12010080
160
Year
0 1 2 3 4
Project A: – $350 50 100 150 200
Project B: – $250 125 100 75 50
26%
Crossover Point
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 26
Profitability Index - ‘PI’
‘The present value of an investment’s future cash flows divided by its initial cost’
measures ‘bang for the buck’ or the value created per dollar invested
Shortcomings does not recognize total market value added (as does the NPV
approach) - thus when comparing mutually exclusive investments it can lead to incorrect decisions
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 27
T9.12 Profitability Index Illustrated
Now let’s go back to the initial example - we assumed the following information on Project X:
Initial outlay -$1,100Required return = 10%
Annual cash benefits:
Year Cash flows
1 $ 500
2 1,000 What’s the Profitability Index (PI)?
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 28
T9.12 Profitability Index Illustrated (concluded)
Previously we found that the NPV of Project X is equal to:
($454.55 + 826.45) - 1,100 = $1,281.00 - 1,100 = $181.00.
The PI = PV inflows/PV outlay = $1,281.00/1,100 = 1.1645.
This is a good project according to the PI rule. Can you explain why?
It’s a good project because the present value of the inflows exceeds the outlay.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 29
T9.13 Summary of Investment Criteria
I. Discounted cash flow criteria
A. Net present value (NPV). The NPV of an investment is the difference between its market value and its cost. The NPV rule is to take a project if its NPV is positive. NPV has no serious flaws; it is the preferred decision criterion.
B. Internal rate of return (IRR). The IRR is the discount rate that makes the estimated NPV of an investment equal to zero. The IRR rule is to take a project when its IRR exceeds the required return. When project cash flows are not conventional, there may be no IRR or there may be more than one.
C. Profitability index (PI). The PI, also called the benefit-cost ratio, is the ratio of present value to cost. The profitability index rule is to take an investment if the index exceeds 1.0. The PI measures the present value per dollar invested.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 30
T9.13 Summary of Investment Criteria (concluded)
II. Payback criteria
A. Payback period. The payback period is the length of time until the sum of an investment’s cash flows equals its cost. The payback period rule is to take a project if its payback period is less than some prespecified cutoff.
B. Discounted payback period. The discounted payback period is the length of time until the sum of an investment’s discounted cash flows equals its cost. The discounted payback period rule is to take an investment if the discounted payback is less than some prespecified cutoff.
III. Accounting criterion
A. Average accounting return (AAR). The AAR is a measure of accounting profit relative to book value. The AAR rule is to take an investment if its AAR exceeds a benchmark.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 31
T9.14 The Practice of Capital Budgeting
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 32
T9.15 Chapter 9 Quick Quiz
1. Which of the capital budgeting techniques do account for both the time value of money and risk?
2. The change in firm value associated with investment in a project is measured by the project’s _____________ .
a. Payback period
b. Discounted payback period
c. Net present value
d. Internal rate of return
3. Why might one use several evaluation techniques to assess a given project?
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 33
T9.15 Chapter 9 Quick Quiz
1. Which of the capital budgeting techniques do account for both the time value of money and risk?
Discounted payback period, NPV, IRR, and PI
2. The change in firm value associated with investment in a project is measured by the project’s Net present value.
3. Why might one use several evaluation techniques to assess a given project?
To measure different aspects of the project; e.g., the payback period measures liquidity, the NPV measures the change in firm value, and the IRR measures the rate of return on the initial outlay.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 34
T9.16 Solution to Problem 9.3
Offshore Drilling Products, Inc. imposes a payback cutoff of 3 years for its international investment projects. If the company has the following two projects available, should they accept either of them?
Year Cash Flows A Cash Flows B
0 -$30,000 -$45,000
1 15,000 5,000
2 10,000 10,000
3 10,000 20,000
4 5,000 250,000
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 35
T9.16 Solution to Problem 9.3 (concluded)
Project A:
Payback period = 1 + 1 + ($30,000 - 25,000)/10,000
= 2.50 years
Project B:
Payback period = 1 + 1 + 1 + ($45,000 - 35,000)/$250,000
= 3.04 years
Project A’s payback period is 2.50 years and project B’s payback period is 3.04 years. Since the maximum acceptable payback period is 3 years, the firm should accept project A and reject project B.
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 36
T9.17 Solution to Problem 9.7
A firm evaluates all of its projects by applying the IRR rule. If the required return is 18 percent, should the firm accept the following project?
Year Cash Flow
0 -$30,000
1 25,000
2 0
3 15,000
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 37
T9.17 Solution of Problem 9.7 (concluded)
To find the IRR, set the NPV equal to 0 and solve for the discount rate:
NPV = 0 = -$30,000 + $25,000/(1 + IRR)1 + $0/(1 + IRR) 2
+$15,000/(1 + IRR)3
At 18 percent, the computed NPV is ____.
So the IRR must be (greater/less) than 18 percent. How did you know?
Irwin/McGraw-Hill copyright © 2002 McGraw-Hill Ryerson, Ltd Slide 38
T9.17 Solution of Problem 9.7 (concluded)
To find the IRR, set the NPV equal to 0 and solve for the discount rate:
NPV = 0 = -$30,000 + $25,000/(1 + IRR)1 + $0/(1 + IRR)2 +$15,000/(1 + IRR)3
At 18 percent, the computed NPV is $316.
So the IRR must be greater than 18 percent. We know this because the computed NPV is positive.
By trial-and-error, we find that the IRR is 18.78 percent.