1Chapter Outline 6.1 Why Use Net Present Value? 6.2 The Payback Period Rule6.3 The Discounted Payback Period Rule6.4 The Average Accounting Return6.5 The Internal Rate of Return6.6 Problems with the IRR Approach6.7 The Profitability Index6.8 The Practice of Capital Budgeting6.9 Summary and Conclusions
2Why Use Net Present Value? Accepting positive NPV projects benefits shareholders.NPV uses cash flowsNPV uses all the cash flows of the projectNPV discounts the cash flows properly
3The Net Present Value (NPV) Rule Total PV of future CF’s + Initial InvestmentEstimating NPV:1. Estimate future cash flows: how much? and when?2. Estimate discount rate3. Estimate initial costs
4NPV Criteria Minimum Acceptance Criteria: Accept if NPV > 0 Ranking Criteria: Choose the highest NPV
5Good Attributes of the NPV Rule 1. Uses cash flows2. Uses ALL cash flows of the project3. Discounts ALL cash flows properlyReinvestment assumption: the NPV rule assumes that all cash flows can be reinvested at the discount rate.
6The Payback Period Rule How long does it take the project to “pay back” its initial investment?Payback Period = number of years to recover initial costsMinimum Acceptance Criteria:set by managementRanking Criteria:
7The Payback Period Rule Disadvantages:Ignores the time value of moneyIgnores cash flows after the payback periodBiased against long-term projectsRequires an arbitrary acceptance criteriaA project accepted based on the payback criteria may not have a positive NPVAdvantages:Easy to understandBiased toward liquidity
8The Discounted Payback Period Rule How long does it take the project to “pay back” its initial investment taking the time value of money into account?By the time you have discounted the cash flows, you might as well calculate the NPV.
9The Average Accounting Return Rule Another attractive but fatally flawed approach.Ranking Criteria and Minimum Acceptance Criteria set by management
10Average Accounting Return Disadvantages:Ignores the time value of moneyUses an arbitrary benchmark cutoff rateBased on book values, not cash flows and market valuesAdvantages:The accounting information is usually availableEasy to calculate
11The Internal Rate of Return Rule (IRR) IRR: the discount that sets NPV to zeroMinimum Acceptance Criteria:Accept if the IRR exceeds the required return.Ranking Criteria:Select alternative with the highest IRRReinvestment assumption:All future cash flows assumed reinvested at the IRR.
12Internal Rate of Return (IRR) Disadvantages:Does not distinguish between investing and borrowing.IRR may not exist or there may be multiple IRRProblems with mutually exclusive investmentsAdvantages:Easy to understand and communicate
13Example: IRR Consider the following project: 123$50$100$150-$200The internal rate of return for this project is 19.44%
14The NPV Payoff ProfileIf we graph NPV versus discount rate, we can see the IRR as the x-axis intercept.IRR = 19.44%
15Problems with the IRR Approach Multiple IRRs.Are We Borrowing or Lending?The Scale Problem.The Timing Problem.
16What is the IRR of this Project? $ $800-$200- $800
17Multiple IRRs There are two IRRs. Which should we use? 100% = IRR2
18The Scale ProblemWould you rather make 100% or 50% on your investments?What if the 100% return is on a $1 investment while the 50% return is on a $1,000 investment?
19The Timing ProblemThe preferred project depends on the discount rate – not the IRR.
20$10, $1,000 $1,000-$10,000Project A$1, $1, $12,000-$10,000Project B
21Calculating the Crossover Rate Compute the IRR for either project “A-B” or “B-A”10.55% = IRR
22Mutually Exclusive vs. Independent Mutually Exclusive Projects: only ONE of several potential projects can be chosen, e.g. acquiring an accounting system.RANK all alternatives and select the best one.Independent Projects: accepting or rejecting one project does not affect the decision of the other projects.Must exceed a MINIMUM acceptance criteria.
23The Profitability Index (PI) Rule Minimum Acceptance Criteria:Accept if PI > 1Ranking Criteria:Select alternative with highest PI
24Profitability Index Disadvantages: Advantages: Problems with mutually exclusive investmentsAdvantages:May be useful when available investment funds are limitedEasy to understand and communicateCorrect decision when evaluating independent projects
25The Practice of Capital Budgeting Varies by industry:Some firms use payback, others use accounting rate of return.The most frequently used technique for large corporations is IRR or NPV.
26Example of Investment Rules Compute the IRR, NPV, PI, and payback period for the following two projects. Assume the required return is 10%.Year Project A Project B0 -$200 -$1501 $200 $502 $800 $1003 -$800 $150
27Example of Investment Rules Project A Project BCF0 -$ $150.00PV0 of CF1-3 $ $240.80NPV = $41.92 $90.80IRR = %, 100% %PI =
28Example of Investment Rules Payback Period:Project A Project BTime CF Cum. CF CF Cum. CFPayback period for project B = 2 years.Payback period for project A = 1 or 3 years?
29Relationship Between NPV and IRR Discount rate NPV for A NPV for B-10%0%20%40%60%80%100%120%
31Summary and Conclusions This chapter evaluates the most popular alternatives to NPV:Payback periodAccounting rate of returnInternal rate of returnProfitability indexWhen it is all said and done, they are not the NPV rule; for those of us in finance, it makes them decidedly second-rate.