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2. Capital Budgeting . USING THE NET PRESENT VALUE RULE TO MAKE VALUE-CREATING INVESTMENT DECISIONS . 3. Background. A good investment decisionOne that raises the current market value of the firm's equity, thereby creating value for the firm's ownersCapital budgeting involves Comparing the amount
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1. 1 Capital Budgeting
2. 2 Capital Budgeting USING THE NET PRESENT VALUE RULE TO MAKE VALUE-CREATING INVESTMENT DECISIONS
3. 3 Background A good investment decision
One that raises the current market value of the firms equity, thereby creating value for the firms owners
Capital budgeting involves
Comparing the amount of cash spent on an investment today with the cash inflows expected from it in the future
Discounting is the mechanism used to account for the time value of money
Converts future cash flows into todays equivalent value called present value or discounted value
Apart the timing issue, there is also the issue of the risk associated with future cash flows
Since there is always some probability that the cash flows realized in the future may not be the expected ones
4. 4 Background After this session, participants should understand:
The major steps involved in a capital budgeting decision
How to calculate the present value of a stream of future cash flows
The net present value (NPV) rule and how to apply it to investment decisions
Why a projects NPV is a measure of the value it creates
How to use the NPV rule to choose between projects of different sizes or different useful lives
How the flexibility of a project can be described with the help of managerial options
5. 5 The Capital Investment Process Capital investment decision (capital budgeting decision, capital expenditure decision) involves four steps
Identification
Evaluation
Selection
Implementation and audit
Investment proposals are also often classified according to the difficulty in estimating the key valuation parameters
Required investments
Replacement investments
Expansion investments
Diversification investments
6. 6 EXHIBIT 1: The Capital Investment Process.
7. 7 Assessing a Capital Budget Without time value of money
Payback period
Bailout payback
With time value of money
Discounted payback
Net present value
Profitability index
Internal rate of return
Annuity equivalent cash flow
8. 8 Why The NPV Rule Is A Good Investment Rule The NPV rule is a good investment rule because
Measures value creation
Reflects the timing of the projects cash flows
Reflects its risk
Additive
9. 9 A Measure Of Value-Creation The present value of a projects expected cash flows stream at its cost of capital
Estimate of how much the project would sell for if a market existed for it
The net present value of an investment project represents the immediate change in the wealth of the firms owners if the project is accepted
If positive, the project creates value for the firms owners; if negative, it destroys value
10. 10 Adjustment For The Timing Of The Projects Cash Flows NPV rule takes into consideration the timing of the expected future cash flows
Demonstrated by comparing two mutually exclusive investments with the same initial cash outlay and the same cumulated expected cash flows
But with different cash flow profiles
Exhibit 2 describes the two investments
Exhibit 3 shows the computation of the two investments net present values
11. 11 EXHIBIT 2: Cash Flows for Two Investments with CF0 = $1 Million and k = 0.10.
12. 12 EXHIBIT 3: Present Values of Cash Flows for Two Investments.Figures from Exhibit 2
13. 13 Adjustment For The Risk Of The Projects Cash Flows Risk adjustment is made through the projects discount rate
Because investors are risk averse, they will require a higher return from riskier investments
As a result, a projects opportunity cost of capital will increase as the risk of the investment increases
By discounting the project cash flows at a higher rate, the projects net present value will decrease
14. 14 EXHIBIT 4: Cash Flows for Two Investments with CF0 = $1 Million, k = 0.12 for Investment C, and k = 0.15 for Investment D.
15. 15 EXHIBIT 4a: Present Values of Cash Flows for Two Investments.Figures from Exhibit 4
16. 16 EXHIBIT 4b: Present Values of Cash Flows for Two Investments.Figures from Exhibit 1.3
17. 17 Additive Property If one project has an NPV of $100,000 and another an NPV of $50,000
The two projects have a combined NPV of $150,000
Assuming that the two projects are independent
Additive property has some useful implications
Makes it easier to estimate the impact on the net present value of a project of changes in its expected cash flows, or in its cost of capital (risk)
An investments positive NPV is a measure of value creation to the firms owners only if the project proceeds according to the budgeted figures
Consequently, from the managers perspective, a projects positive NPV is the maximum present value that they can afford to lose on the project and still earn the projects cost of capital
18. 18 Special Cases Of Capital Budgeting Comparing projects with unequal sizes
If there is a limit on the total capital available for investment
Firm cannot simply select the project(s) with the highest NPV
Must first find out the combination of investments with the highest present value of future cash flows per dollar of initial cash outlay
Can be done using the projects profitability index
19. 19 Special Cases Of Capital Budgeting Firm should first rank the projects in decreasing order of their profitability indexes
Then select projects with the highest profitability index
Until it has allocated the total amount of funds at its disposal
However, the profitability index rule may not be reliable
When choosing among mutually exclusive investments
When capital rationing extends beyond the first year of the project
20. 20 EXHIBIT 5: Cash Flows, Present Values, and Net Present Values for Three Investments of Unequal Size with k= 0.10.
21. 21 EXHIBIT 6: Profitability Indexes for Three Investments of Unequal Size.Figures from Exhibit 6.12
22. 22 Special Cases Of Capital Budgeting Comparing projects with unequal life spans
If projects have unequal lives
Comparison should be made between sequences of projects such that all sequences have the same duration
In many instances, the calculations may be tedious
Possible to convert each projects stream of cash flows into an equivalent stream of equal annual cash flows with the same present value as the total cash flow stream
Called the constant annual-equivalent cash flow or annuity-equivalent cash flow
Then, simply compare the size of the annuities
23. 23 EXHIBIT 7a: Cash Outflows and Present Values of Cost for Two Investments with Unequal Life Spans.
24. 24 EXHIBIT 7b: Cash Outflows and Present Values of Cost for Two Investments with Unequal Life Spans.
25. 25 EXHIBIT 8:Original and Annuity-Equivalent Cash Flows for Two Investments with Unequal Life Spans.Figures from Exhibit 6.14 and Appendix 6.1
26. 26 Limitations Of The Net Present Value Criterion Although the net present value criterion can be adjusted for some situations
It ignores the opportunities to make changes to projects as time passes and more information becomes available
NPV rule is a take-it-or-live-it rule
A project that can adjust easily and at a low cost to significant changes such as
Marketability of the product
Selling price
Risk of obsolescence
Manufacturing technology
Economic, regulatory, and tax environments
Will contribute more to the value of the firm than indicated by its NPV
Will be more valuable than an alternative project with the same NPV, but which cannot be altered as easily and as cheaply
A projects flexibility is usually described by managerial options
27. 27 Managerial Options Embedded In Investment Projects The option to switch technologies
Discussed using the designer desk lamp project of Sunlight Manufacturing Company (SMC) as an illustration
The option to abandon a project
Can affect its net present value
Demonstrated using an extended version of the designer-desk lamp project
Although the project was planned to last for five years, we assume now that SMCs management will always have the option to abandon the project at an earlier date
Depending on if the project is a success or a failure
28. 28 Dealing With Managerial Options Above options are not the only managerial options embedded in investment projects
Option to expand
Option to defer a project
Managerial options are either worthless or have a positive value
Thus, NPV of a project will always underestimate the value of an investment project
The larger the number of options embedded in a project and the higher the probability that the value of the project is sensitive to changing circumstances
The greater the value of those options and the higher the value of the investment project itself
29. 29 Dealing With Managerial Options Valuing managerial options is a very difficult task
Managers should at least conduct a sensitivity analysis to identify the most salient options embedded in a project, try at valuing them and then exercise sound judgment
30. 30 EXHIBIT 10: Steps Involved in Applying the Net Present Value Rule.
31. 31 Capital Budgeting ALTERNATIVES TO THE NPV RULE
32. 32 Background We will examine four alternatives to the NPV method
Ordinary payback period
Discounted payback period
Internal rate of return
Profitability index
You should understand
The four alternatives to NPV method and how to calculate them
How to apply the alternative rules to screen investment proposals
Major shortcomings of the alternative rules
Why these rules are still used even though they are not as reliable to the NPV rule
33. 33 Conditions of a Good Investment Decision Does it adjust for the timing of the cash flows?
Does it take risk into consideration?
Does it maximize the firms equity value?
34. 34 The Payback Period A projects payback period is the number of periods required for the sum of the projects cash flows to equal its initial cash outlay
Usually measured in years
35. 35 The Payback Period Rule According to this rule, a project is acceptable if its payback period is shorter than or equal to the cutoff period
For mutually exclusive projects, the one with the shortest payback period should be accepted
36. 36 Does the payback period rule meet the conditions of a good investment decision? Adjustment for the timing of cash flows?
Ignores the time value of money
Adjustment for risk?
Ignores risk
Maximization of the firms equity value?
No objective reason to believe that there exists a particular cutoff period that is consistent with the maximization of the market value of the firms equity
The choice of a cutoff period is always arbitrary
The rule is biased against long-term projects
37. 37 Why Do Managers Use The Payback Period Rule? Payback period rule is used by many managers
Often in addition to other approaches
Redeeming qualities of this rule
Simple and easy to apply for small, repetitive investments
Favors projects that pay back quickly
Thus, contribute to the firms overall liquidity
Can be particularly important for small firms
Makes sense to apply the payback period rule to two investments that have the same NPV
Because it favors short-term investments, the rule is often employed when future events are difficult to quantify
Such as for projects subject to political risk
38. 38 The Discounted Payback Period The discounted payback period, or economic payback period
Number of periods required for the sum of the present values of the projects expected cash flows to equal its initial cash outlay
Compared to ordinary payback periods
Discounted payback periods are longer
May result in a different project ranking
39. 39 The Discounted Payback Period Rule The discounted payback period rule says that a project is acceptable
If discounted payback period is shorter or equal to the cutoff period
Among several projects, the one with the shortest period should be accepted
40. 40 Does the discounted payback period rule meet the conditions of a good investment decision? Adjustment for the timing of cash flows?
The rule considers the time value of money
Adjustment for risk?
The rule considers risk
Maximization of the firms equity value?
If a projects discounted payback period is shorter than the cutoff period
Projects NPV when estimated with cash flows up to the cutoff period is always positive
The rule is biased against long-term projects
The discounted payback period rule cannot discriminate between the two investments
41. 41 The Discounted Payback Period Rule Vs. The Ordinary Payback Period Rule The discounted payback period rule is superior to the ordinary payback period rule
Considers the time value of money
Considers the risk of the investments expected cash flows
However, the discounted payback period rule is more difficult to apply
Requires the same inputs as the NPV rule
Used less than the ordinary payback period rule
42. 42 The Internal Rate Of Return (IRR) A project's internal rate of return (IRR) is the discount rate that makes the net present value (NPV) of the project equal to zero
An investments IRR summarizes its expected cash flow stream with a single rate of return that is called internal
Because it only considers the expected cash flows related to the investment
Does not depend on rates that can be earned on alternative investments
43. 43 The IRR Rule A project should be accepted if its IRR is higher than its cost of capital and rejected if it is lower
If a projects IRR is lower than its cost of capital, the project does not earn its cost of capital and should be rejected
44. 44 Does the IRR rule meet the conditions of a good investment decision? Adjustment for the timing of cash flows?
Considers the time value of money
Adjustment for risk?
The rule takes risk into consideration
The risk of an investment does not enter into the computation of its IRR, but the IRR rule does consider the risk of the investment because it compares the projects IRR with the minimum required rate of return--a measure of the risk of the investment
45. 45 The IRR Rule May Be Unreliable The IRR rule may lead to an incorrect investment decision when
Two mutually exclusive projects are considered
A projects cash flow stream changes sign more than once
46. 46 Investments With Some Negative Future Cash Flows Negative cash flows can occur when an investment requires the construction of several facilities that are built at different times
When negative cash flows occur a project may have multiple IRRs or none at all
Firm should ignore the IRR rule and use the NPV rule instead
47. 47 Why Do Managers Usually Prefer The IRR Rule To The NPV Rule? IRR calculation requires only a single input (the cash flow stream)
However, applying the IRR rule still requires a second inputthe cost of capital
When a projects cost of capital is uncertain, the IRR method may be the answer
Most managers find the IRR easier to understand
Managers usually have a good understanding of what an investment should "return
Advice: Compute both a projects IRR and NPV
If they agree, use the IRR
If they disagree, trust the NPV rule
48. 48 The Profitability Index (PI) The profitability index
Benefit-to-cost ratio equal to the ratio of the present value of a projects expected cash flows to its initial cash outlay
49. 49 The Profitability Index Rule According to the PI rule a project should be accepted if its profitability index is greater than one and rejected if it is less than one
50. 50 Does the PI rule meet the conditions of a good investment decision? Adjustment for the timing of cash flows?
Takes into account the time value of money
Projects expected cash flows are discounted at their cost of capital
Adjustment for risk?
The PI rule considers risk because it uses the cost of capital as the discount rate
Maximization of the firms equity value?
When a projects PI > 1 the projects NPV > 0 and vice-versa
Thus, it may appear that PI is a substitute for the NPV rule
Unfortunately, the PI rule may lead to a faulty decision when applied to mutually exclusive investments with different initial cash outlays
51. 51 Use Of The Profitability Index Rule The PI is a relative measure of an investments value
NPV is an absolute measure
Thus, the PI rule can be a useful substitute for the NPV rule when presenting a projects benefits per dollar of investment
52. 52 Capital Budgeting IDENTIFYING AND ESTIMATING
A PROJECTS CASH FLOWS
53. 53 Background Fundamental principles guiding the determination of a projects cash flows and how they should be applied
Actual cash-flow principle
Cash flows must be measured at the time they actually occur
With/without principle
Cash flows relevant to an investment decision are only those that change the firms overall cash position
54. 54 Background Participants should understand
The actual cash-flow principle and the with/without principle and how to apply them when making capital expenditure decisions
How to identify a projects relevant and irrelevant cash flows
Sunk costs and opportunity costs
How to estimate a projects relevant cash flows
55. 55 The Actual Cash-flow Principle Cash flows must be measured at the time they actually occur
If inflation is expected to affect future prices and costs, nominal cash flows should be estimated
Cost of capital must also incorporate the anticipated rate of inflation
If the impact of inflation is difficult to determine, real cash flows can be employed
Inflation should also be excluded from the cost of capital
A projects expected cash flows must be measured in the same currency
56. 56 The With/Without Principle The relevant cash flows are only those that change the firms overall future cash position, as a result of the decision to invest
AKA: incremental, or differential, cash flows
Equal to difference between firms expected cash flows if the investment is made (the firm with the project) and its expected cash flows if the investment is not made (the firm without the project)
57. 57 Identifying A Projects Relevant Cash Flows Sunk cost
Cost that has already been paid and for which there is no alternative use at the time when the accept/reject decision is being made
With/without principle excludes sunk costs from the analysis of an investment
Opportunity costs
Associated with resources that the firm could use to generate cash, if it does not undertake the project
Costs do not involve any movement of cash in or out of the firm
58. 58 Identifying A Projects Relevant Cash Flows Costs implied by potential sales erosion
Another example of an opportunity cost
Sales erosion can be caused by the project, or by a competing firm
Relevant only if they are directly related to the project
If sales erosion is expected to occur anyway, then it should be ignored
Allocated costs
Irrelevant as long as the firm will have to pay them anyway
Only consider increases in overhead cash expenses resulting from the project
59. 59 Estimating A Projects Relevant Cash Flows The expected cash flows must be estimated over the economic life of the project
Not necessarily the same as its accounting lifethe period over which the projects fixed assets are depreciated for reporting purposes
60. 60 Measuring The Cash Flows Generated By A Project Classic formula relating the projects expected cash flows in period t to its expected contribution to the firms operating margin in period t:
CFt = EBITt(1-Taxt) + Dept - ?WCRt - Capext
Where:
CFt = relevant cash flow
EBITt = contribution of the project to the Firms Earnings Before Interest and Tax
Taxt = marginal corporate tax rate applicable to the incremental EBITt
Dept = contribution of the project to the firms depreciation expenses
?WCRt = contribution of the project to the firms working capital requirement
Capext = capital expenditures related to the project
61. 61 Estimating the Projects Initial Cash Outflow Projects initial cash outflow includes the following items:
Cost of the assets acquired to launch the project
Set up costs, including shipping and installation costs
Additional working capital required over the first year
Tax credits provided by the government to induce firms to invest
Cash inflows resulting from the sale of existing assets, when the project involves a decision to replace assets, including any taxes related to that sale
62. 62 Estimating The Projects Intermediate Cash Flows The projects intermediate cash flows are calculated using the cash flow formula
63. 63 Estimating The Projects Terminal Cash Flow The incremental cash flow for the last year of any project should include the following items:
The last incremental net cash flow the project is expected to generate
Recovery of the projects incremental working capital requirement, if any
After-tax resale value of any physical assets acquired in relation to the project
Capital expenditure and other costs associated with the termination of the project
64. 64 Sensitivity Analysis Sensitivity analysis is a useful tool when dealing with project uncertainty
Helps identify those variables that have the greatest effect on the value of the proposal
Shows where more information is needed before a decision can be made