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Capital Budgeting: 

Capital Budgeting Arguing for your project

Arguing for your project: 

Arguing for your project Capital budgeting CFO receives proposals from divisions Projects described by cash flows

Arguing means applying measures: 

Arguing means applying measures Net present value is the right measure. Many smart people use the wrong ones. Alternative ways to the same end.

Uses of measures: 

Uses of measures Project acceptance Mutually exclusive alternatives.

Capital Budgeting Techniques: 

Capital Budgeting Techniques Kim, Crick, and Kim, Management Accounting Nov. 1986, p. 49-52

Survey of use of measures by corporations: 

Survey of use of measures by corporations

Make no mistake: 

Make no mistake NPV is the right measure always. Others work sometimes. NPV measures value to owners, their wealth.

Objectives of a good measure: 

Objectives of a good measure Value cash flows. Respond to the market.

NPV’s merits: 

NPV’s merits Values cash flows as the market does. Responsive because the discount rate is the current market rate. Measures increase in shareholder value.

Payback period is: 

Payback period is The time required for undiscounted cash flows to add up to the initial investment. e.g., build a Wendy’s if it “pays for itself” in two years or less.

Payback merits: 

Payback merits Based on cash flows

Payback defects: 

Payback defects No market response. When r is high, payback period should be shorter. Subtracts time-t dollars from time-0 dollars, a cardinal sin. Ignores cash flow after payback. Ignores timing during payback.

Defects are not necessarily fatal: 

Defects are not necessarily fatal Repeated, similar investments. Stable financial conditions.

The well-informed capital budgeter knows: 

The well-informed capital budgeter knows When to accept payback period as a measure. When it is likely to fail.

Accounting rate of return: 

Accounting rate of return Doesn’t value cash flows No market response Ignores market values Scaling problems: melons or malls

Merits of accounting r.o.r.: 

Merits of accounting r.o.r. Easily understood. Sometimes okay in stable markets. Smart application can overcome defects.

Internal rate of return: 

Internal rate of return Definition: IRR is the discount rate that makes NPV = 0 That is, IRR is the r such that

Internal rate of return: 

Internal rate of return Definition: IRR is the discount rate that makes NPV(r) = 0. NPV(r) is a function. RWJ Figures 6.4 and 6.5.

Project: 

Project

Figure 6.4: NPV(r)=0 at r=23.37%: 

Figure 6.4: NPV(r)=0 at r=23.37% NPV r 100 NPV(.1) = 48.68520

Figure 6.4: 

Figure 6.4 NPV (r) = 0 at r = 23.37%

Applications of IRR measure: 

Applications of IRR measure Hurdle rate = market rate Project acceptance: Accept a project if IRR > hurdle rate. Mutually exclusive projects: Take the one with the highest IRR (> hurdle rate)????? Don’t rely on it.

Project acceptance:: 

Project acceptance: NPV and IRR give the same conclusion when ... Cash flows have one sign change. In the example: IRR = 23.37% > hurdle = 10% for an investment project. IRR = 23.37% < hurdle rate = 30% for a financing or “borrowing from nature” project.

Merits: 

Merits Uses cash flows. Responds to the market when the hurdle rate changes

Objective: 

Objective Learn to recognize the times when NPV and IRR are the same. and also the problems with IRR

Defects of IRR -- project acceptance: 

Defects of IRR -- project acceptance Lending to nature or borrowing from her? Multiple IRR's may occur.

Financing (borrowing from nature): 

Financing (borrowing from nature) Seek IRR < hurdle rate Same as NPV > 0

Multiple IRR's: 

Multiple IRR's

IRR’s at r = 1 and r = 2: 

IRR’s at r = 1 and r = 2 100% per decade = 7.17735% per year. 200% per decade = 11.61232% per year.

IRR’s at r=1 and r=2.: 

IRR’s at r=1 and r=2. NPV r 100% 200%

Descartes’ Rule: 

Descartes’ Rule The number of internal rates of return is no more than the number of sign changes.

Defects of IRR -- mutually exclusive projects: 

Defects of IRR -- mutually exclusive projects Ignores market values. Scale problems -- melons or malls.

Typical hour exam question: 

Typical hour exam question What is the scale problem in using IRR to choose between mutually exclusive projects?

Scale problem in IRR: 

Scale problem in IRR One canyon, one dam.

Sketch of answer: 

Sketch of answer The smaller dam has the higher IRR. The big dam has higher value. The big dam extends consumption possibility of owners more than the little dam does. It is wrong to take the higher IRR in this case.

Scale problems in IRR: 

Scale problems in IRR

More answer: 

More answer Consider the project of replacing the little dam by the big dam. Cash flows are -900, +1300. IRR of the project is 4/9 = .4444 > .1 NPV is 281.8181… So replace the little dam. Capital budgeting jiu jitsu.

Slide38: 

r NPV 50% 100% 100 500 Big dam Little dam IRR IRR

Slide39: 

Big dam, little dam NPV NPV of the big dam NPV of the small dam 500 100 .5 1 r r* For hurdle rates below r*, the big dam is preferred. r* = .4444...