Deck 12: Capital Budgeting: Decision Criteria

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Question
Given two mutually exclusive projects and a zero cost of capital, the payback method and NPV method of selecting investments will always lead to the same decision on which project to undertake.
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Question
If a project's NPV exceeds the project's IRR, then the project should be accepted.
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Because present value refers to the value of cash flows that occur at different points in time, present values cannot be added to determine the value of a capital budgeting project.
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The modified IRR (MIRR) always leads to the same capital budgeting decisions as the NPV method.
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A firm should never undertake an investment if accepting the project would cause an increase in the firm's cost of capital.
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One advantage of the payback period method of evaluating fixed asset investment possibilities is that it provides a rough measure of a project's liquidity and risk.
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The phenomenon called "multiple internal rates of return" arises when two or more mutually exclusive projects which have different lives are being compared.
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Other things held constant, an increase in the cost of capital discount rate will result in a decrease in a project's IRR.
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When considering two mutually exclusive projects, the financial manager should always select that project whose internal rate of return is the highest provided the projects have the same initial cost.
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A decrease in the firm's discount rate (r) will increase NPV, which could change the accept/reject decision for a potential project. However, such a change would have no impact on the project's IRR, hence on the accept/reject decision under the IRR method.
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The modified IRR (MIRR) method has wide appeal to professors, but most business executives prefer the NPV method to either the regular or modified IRR.
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The NPV method's assumption that cash inflows are reinvested at the cost of capital is more reasonable than the IRR's assumption that cash flows are reinvested at the IRR. This makes the NPV method preferable to the IRR method.
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If the IRR of normal Project X is greater than the IRR of mutually exclusive Project Y (also normal), we can conclude that the firm will select X rather than Y if X has a NPV > 0.
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The replacement chain, or common life, approach is applicable whether two projects with differing lives are mutually exclusive or independent.
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Under certain conditions, a particular project may have more than one IRR. One condition under which this situation can occur is if, in addition to the initial investment at time = 0, a negative cash flow occurs at the end of the project's life.
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Assuming that the total cash flows are equal, the NPV of a project whose cash flows accrue relatively rapidly is more sensitive to changes in the discount rate than is the NPV of a project whose cash flows come in more slowly.
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Normal Projects Q and R have the same NPV when the discount rate is zero. However, Project Q has larger early cash flows than R. Therefore, we know that at all discount rates greater than zero, Project R will have a greater NPV than Q.
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Conflicts between two mutually exclusive projects, where the NPV method chooses one project but the IRR method chooses the other, should generally be resolved in favor of the project with the higher NPV.
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The internal rate of return is that discount rate which equates the present value of the cash outflows (or costs) with the present value of the cash inflows.
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Project S has a pattern of high cash flows in its early life, while Project L has a longer life, with large cash flows late in its life. At the current cost of capital, normal Projects S and L have identical NPVs. Now suppose interest rates and money costs generally decline. Other things held constant, this change will cause L to become preferred to S.
Question
Which of the following statements is most correct?

A) If a project's internal rate of return (IRR) exceeds the cost of capital, then the project's net present value (NPV) must be positive.
B) If Project A has a higher IRR than Project B, then Project A must also have a higher NPV.
C) The IRR calculation implicitly assumes that all cash flows are reinvested at a rate of return equal to the cost of capital.
D) Answers a and c are correct.
E) None of the answers above is correct.
Question
Which of the following statements is most correct?

A) The NPV method assumes that cash flows will be reinvested at the cost of capital while the IRR method assumes reinvestment at the IRR.
B) The NPV method assumes that cash flows will be reinvested at the risk free rate while the IRR method assumes reinvestment at the IRR.
C) The NPV method assumes that cash flows will be reinvested at the cost of capital while the IRR method assumes reinvestment at the risk-free rate.
D) The NPV method does not consider the inflation premium.
E) The IRR method does not consider all relevant cash flows, and particularly cash flows beyond the payback period.
Question
Projects L and S each have an initial cost of $10,000, followed by a series of positive cash inflows. Project L has total, undiscounted cash inflows of $16,000, while S has total undiscounted inflows of $15,000. Further, at a discount rate of 10 percent, the two projects have identical NPVs. Which project's NPV will be more sensitive to changes in the discount rate? (Hint: Projects with steeper NPV profiles are more sensitive to discount rate changes.)

A) Project S.
B) Project L.
C) Both projects are equally sensitive to changes in the discount rate since their NPVs are equal at all costs of capital.
D) Neither project is sensitive to changes in the discount rate, since both have NPV profiles which are horizontal.
E) The solution cannot be determined unless the timing of the cash flows is known.
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Extending projects with different lives to a common life for comparison purposes, while theoretically appealing, should be done only if there is a high probability that the projects will actually be replicated beyond their initial lives.
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The IRR of normal Project X is greater than the IRR of normal Project Y, and both IRRs are greater than zero. Also, the NPV of X is greater than the NPV of Y at the cost of capital. If the two projects are mutually exclusive, Project X should definitely be selected, and the investment made, provided we have confidence in the data. Put another way, it is impossible to draw NPV profiles that would suggest not accepting Project X.
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Small businesses probably make less use of the DCF capital budgeting techniques than large businesses. This may reflect a lack of knowledge on the part of small firms' managers, but it may also reflect a rational conclusion that the costs of using DCF analysis outweigh the benefits of these methods for those firms.
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The main reason that the NPV method is regarded as being conceptually superior to the IRR method for evaluating mutually exclusive investments is that multiple IRRs may exist.
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The internal rate of return of a capital investment

A) Changes when the cost of capital changes.
B) Is equal to the annual net cash flows divided by one half of the project's cost when the cash flows are an annuity.
C) Must exceed the cost of capital in order for the firm to accept the investment.
D) Is similar to the yield to maturity on a bond.
E) Answers c and d are correct.
Question
A company estimates that its weighted average cost of capital (WACC) is 10 percent. Which of the following independent projects should the company accept?

A) Project A requires an up-front expenditure of $1,000,000 and generates a net present value of $3,200.
B) Project B has a modified internal rate of return of 9.5 percent.
C) Project C requires an up-front expenditure of $1,000,000 and generates a positive internal rate of return of 9.7 percent.
D) Project D has an internal rate of return of 9.5 percent.
E) None of the projects above should be accepted.
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The post-audit is used to

A) Improve cash flow forecasts.
B) Stimulate management to improve operations and bring results into line with forecasts.
C) Eliminate potentially profitable but risky projects.
D) All of the answers above are correct.
E) Answers a and b are correct.
Question
Project A has an internal rate of return (IRR) of 15 percent. Project B has an IRR of 14 percent. Both projects have a cost of capital of 12 percent. Which of the following statements is most correct?

A) Both projects have a positive net present value (NPV).
B) Project A must have a higher NPV than Project B.
C) If the cost of capital were less than 12 percent, Project B would have a higher IRR than Project A.
D) Statements a and c are correct.
E) Statements a, b, and c are correct.
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The NPV and IRR methods, when used to evaluate an independent project, will lead to different accept/reject decisions unless the IRR is greater than the cost of capital.
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Project A has an IRR of 15 percent. Project B has an IRR of 18 percent. Both projects have the same risk. Which of the following statements is most correct?

A) If the WACC is 10 percent, both projects will have a positive NPV, and the NPV of Project B will exceed the NPV of Project A.
B) If the WACC is 15 percent, the NPV of Project B will exceed the NPV of Project A.
C) If the WACC is less than 18 percent, Project B will always have a shorter payback than Project A.
D) If the WACC is greater than 18 percent, Project B will always have a shorter payback than Project A.
E) If the WACC increases, the IRR of both projects will decline.
Question
A major disadvantage of the payback period method is that it

A) Is useless as a risk indicator.
B) Ignores cash flows beyond the payback period.
C) Does not directly account for the time value of money.
D) All of the answers above are correct.
E) Only answers b and c are correct.
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Although the replacement chain, or common life, approach is appealing for dealing with projects with different lives, it is not used in industry because there are no projects which meet the assumptions the method requires.
Question
A project has an up-front cost of $100,000. The project's WACC is 12 percent and its net present value is $10,000. Which of the following statements is most correct?

A) The project should be rejected since its return is less than the WACC.
B) The project's internal rate of return is greater than 12 percent.
C) The project's modified internal rate of return is less than 12 percent.
D) All of the above answers are correct.
E) None of the above answers is correct.
Question
Assume a project has normal cash flows (i.e., the initial cash flow is negative, and all other cash flows are positive). Which of the following statements is most correct?

A) All else equal, a project's IRR increases as the cost of capital declines.
B) All else equal, a project's NPV increases as the cost of capital declines.
C) All else equal, a project's MIRR is unaffected by changes in the cost of capital.
D) Answers a and b are correct.
E) Answers b and c are correct.
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In capital budgeting analyses, it is possible that NPV and IRR will both involve an assumption of reinvestment of the project's cash flows at the same rate.
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Projects A and B have the same expected lives and initial cash outflows. However, one project's cash flows are larger in the early years, while the other project has larger cash flows in the later years. The two NPV profiles are given below: Which of the following statements is most correct?

A) Project A has the smaller cash flows in the later years.
B) Project A has the larger cash flows in the later years.
C) We require information on the cost of capital in order to determine which project has larger early cash flows.
D) The NPV profile graph is inconsistent with the statement made in the problem.
E) None of the statements above is correct.
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Any capital budgeting investment rule should depend solely on forecasted cash flows and the opportunity cost of capital. The rule itself should not be affected by managers' tastes, the choice of accounting method, or the profitability of other independent projects.
Question
In comparing two mutually exclusive projects of equal size and equal life, which of the following statements is most correct?

A) The project with the higher NPV may not always be the project with the higher IRR.
B) The project with the higher NPV may not always be the project with the higher MIRR.
C) The project with the higher IRR may not always be the project with the higher MIRR.
D) All of the answers above are correct.
E) Answers a and c are correct.
Question
Normal projects C and D are mutually exclusive. Project C has a higher net present value if the WACC is less than 12 percent, whereas Project D has a higher net present value if the WACC exceeds 12 percent. Both projects have a positive NPV if the WACC is 12 percent. Which of the following statements is most correct?

A) Project D has a higher internal rate of return.
B) Project D is probably larger in scale than Project C.
C) Project C probably has a faster payback.
D) All of the statements above are correct.
E) Answers a and c are correct.
Question
You are considering the purchase of an investment that would pay you $5,000 per year for Years 1-5, $3,000 per year for Years 6-8, and $2,000 per year for Years 9 and 10. If you require a 14 percent rate of return, and the cash flows occur at the end of each year, then how much should you be willing to pay for this investment?

A) $15,819.27
B) $21,937.26
C) $32,415.85
D) $38,000.00
E) $52,815.71
Question
Which of the following statements is incorrect?

A) Assuming a project has normal cash flows, the NPV will be positive if the IRR is less than the cost of capital.
B) If the multiple IRR problem does not exist, any independent project acceptable by the NPV method will also be acceptable by the IRR method.
C) If IRR = r (the cost of capital), then NPV = 0.
D) NPV can be negative if the IRR is positive.
E) The NPV method is not affected by the multiple IRR problem.
Question
Which of the following statements is most correct?

A) The MIRR method will always arrive at the same conclusion as the NPV method.
B) The MIRR method can overcome the multiple IRR problem, while the NPV method cannot.
C) The MIRR method uses a more reasonable assumption about reinvestment rates than the IRR method.
D) Statements a and c are correct.
E) All of the above statements are correct.
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Which of the following statements is most correct? The modified IRR (MIRR) method:

A) Always leads to the same ranking decision as NPV for independent projects.
B) Overcomes the problem of multiple rates of return.
C) Compounds cash flows at the cost of capital.
D) Overcomes the problems of cash flow timing and project size that lead to criticism of the regular IRR method.
E) Answers b and c are correct.
Question
Project A has an internal rate of return of 18 percent, while Project B has an internal rate of return of 16 percent. However, if the company's cost of capital (WACC) is 12 percent, Project B has a higher net present value. Which of the following statements is most correct?

A) The crossover rate for the two projects is less than 12 percent.
B) Assuming the timing of the two projects is the same, Project A is probably of larger scale than Project B.
C) Assuming that the two projects have the same scale, Project A probably has a faster payback than Project B.
D) Answers a and b are correct.
E) Answers b and c are correct.
Question
Assume a project has normal cash flows (that is, the initial cash flow is negative, and all other cash flows are positive). Which of the following statements is most correct?

A) All else equal, a project's IRR increases as the cost of capital declines.
B) All else equal, a project's NPV increases as the cost of capital declines.
C) All else equal, a project's MIRR is unaffected by changes in the cost of capital.
D) Answers a and b are correct.
E) Answers b and c are correct.
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Which of the following statements is most correct?

A) The IRR method is appealing to some managers because it produces a rate of return upon which to base decisions rather than a dollar amount like the NPV method.
B) The discounted payback method solves all the problems associated with the payback method.
C) For independent projects, the decision to accept or reject will always be the same using either the IRR method or the NPV method.
D) All of the statements above are correct.
E) Statements a and c are correct.
Question
The Seattle Corporation has been presented with an investment opportunity which will yield cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. This investment will cost the firm $150,000 today, and the firm's cost of capital is 10 percent. Assume cash flows occur evenly during the year, 1/365th each day. What is the payback period for this investment?

A) 5.23 years
B) 4.86 years
C) 4.00 years
D) 6.12 years
E) 4.35 years
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Which of the following statements is correct?

A) Because discounted payback takes account of the cost of capital, a project's discounted payback is normally shorter than its regular payback.
B) The NPV and IRR methods use the same basic equation, but in the NPV method the discount rate is specified and the equation is solved for NPV, while in the IRR method the NPV is set equal to zero and the discount rate is found.
C) If the cost of capital is less than the crossover rate for two mutually exclusive projects' NPV profiles, a NPV/IRR conflict will not occur.
D) If you are choosing between two projects which have the same life, and if their NPV profiles cross, then the smaller project will probably be the one with the steeper NPV profile.
E) If the cost of capital is relatively high, this will favor larger, longer-term projects over smaller, shorter-term alternatives because it is good to earn high rates on larger amounts over longer periods.
Question
Project X has an internal rate of return of 20 percent. Project Y has an internal rate of return of 15 percent. Both projects have a positive net present value. Which of the following statements is most correct?

A) Project X must have a higher net present value than Project Y.
B) If the two projects have the same WACC, Project X must have a higher net present value.
C) Project X must have a shorter payback than Project Y.
D) Both answers b and c are correct.
E) None of the above answers is correct.
Question
Which of the following statements is most correct?

A) One of the disadvantages of choosing between mutually exclusive projects on the basis of the discounted payback method is that you might choose the project with the faster payback period but with the lower total return.
B) Multiple IRRs can occur in cases when project cash flows are normal, but they are more common in cases where project cash flows are nonnormal.
C) When choosing between mutually exclusive projects, managers should accept all projects with IRRs greater than the weighted average cost of capital.
D) All of the statements above are correct.
E) Two of the statements above are correct.
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Your assistant has just completed an analysis of two mutually exclusive projects. You must now take her report to a board of directors meeting and present the alternatives for the board's consideration. To help you with your presentation, your assistant also constructed a graph with NPV profiles for the two projects. However, she forgot to label the profiles, so you do not know which line applies to which project. Of the following statements regarding the profiles, which one is most reasonable?

A) If the two projects have the same investment cost, and if their NPV profiles cross once in the upper right quadrant, at a discount rate of 40 percent, this suggests that a NPV versus IRR conflict is not likely to exist.
B) If the two projects' NPV profiles cross once, in the upper left quadrant, at a discount rate of minus 10 percent, then there will probably not be a NPV versus IRR conflict, irrespective of the relative sizes of the two projects, in any meaningful, practical sense (that is, a conflict which will affect the actual investment decision).
C) If one of the projects has a NPV profile which crosses the X-axis twice, hence the project appears to have two IRRs, your assistant must have made a mistake.
D) Whenever a conflict between NPV and IRR exist, then, if the two projects have the same initial cost, the one with the steeper NPV profile probably has less rapid cash flows. However, if they have identical cash flow patterns, then the one with the steeper profile probably has the lower initial cost.
E) If the two projects both have a single outlay at t = 0, followed by a series of positive cash inflows, and if their NPV profiles cross in the lower left quadrant, then one of the projects should be accepted, and both would be accepted if they were not mutually exclusive.
Question
Assume that you are comparing two mutually exclusive projects. Which of the following statements is most correct?

A) The NPV and IRR rules will always lead to the same decision unless one or both of the projects are "non-normal" in the sense of having only one change of sign in the cash flow stream, i.e., one or more initial cash outflows (the investment) followed by a series of cash inflows.
B) If a conflict exists between the NPV and the IRR, the conflict can always be eliminated by dropping the IRR and replacing it with the MIRR.
C) There will be a meaningful (as opposed to irrelevant) conflict only if the projects' NPV profiles cross, and even then, only if the cost of capital is to the left of (or lower than) the discount rate at which the crossover occurs.
D) Statements a, b, and c are true.
Question
Which of the following statements is most correct?

A) If a project with normal cash flows has an IRR which exceeds the cost of capital, then the project must have a positive NPV.
B) If the IRR of Project A exceeds the IRR of Project B, then Project A must also have a higher NPV.
C) The modified internal rate of return (MIRR) can never exceed the IRR.
D) Answers a and c are correct.
E) None of the answers above is correct.
Question
Two mutually exclusive projects each have a cost of $10,000. The total, undiscounted cash flows from Project L are $15,000, while the undiscounted cash flows from Project S total $13,000. Their NPV profiles cross at a discount rate of 10 percent. Which of the following statements best describes this situation?

A) The NPV and IRR methods will select the same project if the cost of capital is greater than 10 percent; for example, 18 percent.
B) The NPV and IRR methods will select the same project if the cost of capital is less than 10 percent; for example, 8 percent.
C) To determine if a ranking conflict will occur between the two projects the cost of capital is needed as well as an additional piece of information.
D) Project L should be selected at any cost of capital, because it has a higher IRR.
E) Project S should be selected at any cost of capital, because it has a higher IRR.
Question
Which of the following statements is most correct?

A) When dealing with independent projects, discounted payback (using a payback requirement of 3 or less years), NPV, IRR, and modified IRR always lead to the same accept/reject decisions for a given project.
B) When dealing with mutually exclusive projects, the NPV and modified IRR methods always rank projects the same, but those rankings can conflict with rankings produced by the discounted payback and the regular IRR methods.
C) Multiple rates of return are possible with the regular IRR method but not with the modified IRR method, and this fact is one reason given by the textbook for favoring MIRR (or modified IRR) over IRR.
D) Statements a, b, and c are false.
E) Statements a and c are true.
Question
Which of the following statements is correct?

A) There can never be a conflict between NPV and IRR decisions if the decision is related to a normal, independent project, i.e., NPV will never indicate acceptance if IRR indicates rejection.
B) To find the MIRR, we first compound CFs at the regular IRR to find the TV, and then we discount the TV at the cost of capital to find the PV.
C) The NPV and IRR methods both assume that cash flows are reinvested at the cost of capital. However, the MIRR method assumes reinvestment at the MIRR itself.
D) If you are choosing between two projects which have the same cost, and if their NPV profiles cross, then the project with the higher IRR probably has more of its cash flows coming in the later years.
E) A change in the cost of capital would normally change both a project's NPV and its IRR.
Question
Which of the following is most correct?

A) The NPV and IRR rules will always lead to the same decision in choosing between mutually exclusive projects, unless one or both of the projects are "non-normal" in the sense of having only one change of sign in the cash flow stream.
B) The Modified Internal Rate of Return (MIRR) compounds cash outflows at the cost of capital.
C) Conflicts between NPV and IRR rules arise in choosing between two mutually exclusive projects (that each have normal cash flows) when the cost of capital exceeds the crossover point (that is, the point at which the NPV profiles cross).
D) The discounted payback method overcomes the problems that the payback method has with cash flows occurring after the payback period.
E) None of the statements above is correct.
Question
The Seattle Corporation has been presented with an investment opportunity which will yield end-of-year cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. This investment will cost the firm $150,000 today, and the firm's cost of capital is 10 percent. What is the NPV for this investment?

A) $135,984
B) $ 18,023
C) $219,045
D) $ 51,138
E) $ 92,146
Question
A small manufacturer is considering two alternative machines. Machine A costs $1 million, has an expected life of 5 years, and generates after-tax cash flows of $350,000 per year. At the end of 5 years, the salvage value of the original machine is zero, but the company will be able to purchase another Machine A at a cost of $1.2 million. The second Machine A will generate after-tax cash flows of $375,000 a year for another 5 years at which time its salvage value will again be zero. Alternatively, the company can buy Machine B at a cost of $1.5 million today. Machine B will produce after-tax cash flows of $400,000 a year for ten years, and after ten years it will have an after-tax salvage value of $100,000. Assume that the cost of capital is 12 percent. If the company chooses the machine which adds the most value to the firm, by how much will the company's value increase?

A) $347,802.00
B) $451,775.21
C) $633,481.19
D) $792,286.54
E) $811,357.66
Question
Capitol City Transfer Company is considering building a new terminal in Salt Lake City. If the company goes ahead with the project, it must spend $1 million immediately (at t = 0) and another $1 million at the end of Year 1 (t = 1). It will then receive net cash flows of $0.5 million at the end of Years 2 - 5, and it expects to sell the property and net $1 million at the end of Year 6. All cash inflows and outflows are after taxes. The company's cost of capital is 12 percent, and it uses the modified IRR criterion for capital budgeting decisions. What is the project's modified IRR (MIRR)?

A) 11.9%
B) 12.0%
C) 11.4%
D) 11.5%
E) 11.7%
Question
Doherty Industries wants to invest in a new computer system. The company only wants to invest in one system, and has narrowed the choice down to System A and System B. System A requires an up-front cost of $100,000 and then generates positive after-tax cash flows of $60,000 at the end of each of the next two years. The system can be replaced every two years with the cash inflows and outflows remaining the same.
System B also requires an up-front cost of $100,000 and then generates positive after-tax cash flows of $48,000 at the end of each of the next three years. System B can be replaced every three years, but each time the system is replaced, both the cash inflows and outflows increase by 10 percent.
The company needs a computer system for the six years, after which time the current owners plan on retiring and liquidating the firm. The company's cost of capital is 11 percent. What is the NPV (on a six-year extended basis) of the system which creates the most value to the company?

A) $ 17,298.30
B) $ 22,634.77
C) $ 31,211.52
D) $ 38,523.43
E) $103,065.82
Question
Alyeska Salmon Inc., a large salmon canning firm operating out of Valdez, Alaska, has a new automated production line project it is considering. The project has a cost of $275,000 and is expected to provide after-tax annual cash flows of $73,306 for eight years. The firm's management is uncomfortable with the IRR reinvestment assumption and prefers the modified IRR approach. You have calculated a cost of capital for the firm of 12 percent. What is the project's MIRR?

A) 15.0%
B) 14.0%
C) 12.0%
D) 16.0%
E) 17.0%
Question
The capital budgeting director of Sparrow Corporation is evaluating a project which costs $200,000, is expected to last for 10 years and produce after-tax cash flows, including depreciation, of $44,503 per year. If the firm's cost of capital is 14 percent and its tax rate is 40 percent, what is the project's IRR?

A) 8%
B) 14%
C) 18%
D) -5%
E) 12%
Question
Your company is planning to open a new gold mine which will cost $3 million to build, with the expenditure occurring at the end of the year three years from today. The mine will bring year-end after-tax cash inflows of $2 million at the end of the two succeeding years, and then it will cost $0.5 million to close down the mine at the end of the third year of operation. What is this project's IRR?

A) 14.36%
B) 10.17%
C) 17.42%
D) 12.70%
E) 21.53%
Question
Michigan Mattress Company is considering the purchase of land and the construction of a new plant. The land, which would be bought immediately (at t = 0), has a cost of $100,000 and the building, which would be erected at the end of the first year (t = 1), would cost $500,000. It is estimated that the firm's after-tax cash flow will be increased by $100,000 starting at the end of the second year, and that this incremental flow would increase at a 10 percent rate annually over the next 10 years. What is the approximate payback period?

A) 2 years
B) 4 years
C) 6 years
D) 8 years
E) 10 years
Question
Houston Inc. is considering a project which involves building a new refrigerated warehouse which will cost $7,000,000 at t = 0 and which is expected to have operating cash flows of $500,000 at the end of each of the next 20 years. However, repairs which will cost $1,000,000 must be incurred at the end of the 10th year. Thus, at the end of Year 10 there will be a $500,000 operating cash inflow and an outflow of -$1,000,000 for repairs. If Houston's cost of capital is 12 percent, what is the project's MIRR? (Hint: Think carefully about the MIRR equation and the treatment of cash outflows.)

A) 7.75%
B) 8.29%
C) 9.81%
D) 11.45%
E) 12.33%
Question
Vanderheiden Inc. is considering two average-risk alternative ways of producing its patented polo shirts. Process S has a cost of $8,000 and will produce net cash flows of $5,000 per year for 2 years. Process L will cost $11,500 and will produce cash flows of $4,000 per year for 4 years. The company has a contract that requires it to produce the shirts for 4 years, but the patent will expire after 4 years, so the shirts will not be produced after 4 years. Inflation is expected to be zero during the next 4 years. If cash inflows occur at the end of each year, and if Vanderheiden's cost of capital is 10 percent, by what amount will the better project increase Vanderheiden's value?

A) $ 677.69
B) $1,098.89
C) $1,179.46
D) $1,237.76
E) $1,312.31
Question
Haig Aircraft is considering a project which has an up-front cost paid today at t = 0. The project will generate positive cash flows of $60,000 a year at the end of each of the next five years. The project's NPV is $75,000 and the company's WACC is 10 percent. What is the project's simple, regular payback?

A) 3.22 years
B) 1.56 years
C) 2.54 years
D) 2.35 years
E) 4.16 years
Question
Scott Corporation's new project calls for an investment of $10,000. It has an estimated life of 10 years. The IRR has been calculated to be 15 percent. If cash flows are evenly distributed and the tax rate is 40 percent, what is the annual before-tax cash flow each year? (Assume depreciation is a negligible amount.)

A) $1,993
B) $3,321
C) $1,500
D) $4,983
E) $5,019
Question
A company just paid $10 million for a feasibility study. If the company goes ahead with the project, it must immediately spend another $100 million now, and then spend $20 million in one year. In two years it will receive $80 million, and in three years it will receive $90 million. If the cost of capital for the project is 11 percent, what are the project's NPV and IRR?

A) NPV = $2.72 million; IRR = Two positive IRRs.
B) NPV = $2.72 million; IRR = 16%.
C) NPV = $12.72 million; IRR = Two positive IRRs.
D) NPV = $12.72 million; IRR = 16%.
E) None of the above.
Question
King Racing Company (KRC) is considering which of two mutually exclusive engine development projects to pursue. King's RPX design has an expected life of 4 years and projected cash inflows are $3.6 million at the end of each of the first two years and $1.8 million in each of the next two years. King's RPB design is more flexible and has an eight-year life. The projected end-of-year flows from the RPB design are $2.4 million in each of the first two years and $2.0 million in each of the next six years. Both projects require an initial investment of $5.4 million, and King's cost of capital is 12 percent. Frequent changes in racing rules and engine technology make engine development risky, but King feels that the basic designs can be refined and modified. Thus, King often assumes that continuous replacements can be made as a project's life ends. What is the net present value (on an eight-year extended basis) of the project with the most value to the company?

A) $ 3.109 million
B) $ 1.976 million
C) $ 5.085 million
D) $ 5.211 million
E) $ 6.218 million
Question
Johnson Jets is considering two mutually exclusive machines. Machine A has an up-front cost of $100,000 (CF0 = -100,000)Machine B has an up-front cost of $50,000(CF0 = -50,000)The company's cost of capital is 10.5 percent. What is the net present value (on a six-year extended basis) of the most profitable machine?

A) $23,950
B) $41,656
C) $56,238
D) $62,456
E) $71,687
Question
As the capital budgeting director for Chapel Hill Coffins Company, you are evaluating construction of a new plant. The plant has a net cost of $5 million in Year 0 (today), and it will provide net cash inflows of $1 million at the end of Year 1, $1.5 million at the end of Year 2, and $2 million at the end of Years 3 through 5. Within what range is the plant's IRR?

A) 14 - 15%
B) 15 - 16%
C) 16 - 17%
D) 17 - 18%
E) 18 - 19%
Question
Jones Company's new truck has a cost of $20,000, and it will produce end-of-year net cash inflows of $7,000 per year for 5 years. The cost of capital for an average-risk project like the truck is 8 percent. What is the sum of the project's IRR and its MIRR?

A) 15.48%
B) 18.75%
C) 26.11%
D) 34.23%
E) 37.59%
Question
Florida Phosphate is considering a project which involves opening a new mine at a cost of $10,000,000 at t = 0. The project is expected to have operating cash flows of $5,000,000 at the end of each of the next 4 years. However, the facility will have to be repaired at a cost of $6,000,000 at the end of the second year. Thus, at the end of Year 2 there will be a $5,000,000 operating cash inflow and an outflow of -$6,000,000 for repairs. The company's cost of capital is 15 percent. What is the difference between the project's MIRR and its regular IRR?

A) 0.00%
B) 0.51%
C) 3.40%
D) 9.65%
E) 13.78%
Question
Martin Manufacturers is considering a five-year investment which costs $100,000. The investment will produce cash flows of $25,000 each year for the first two years (t = 1 and t = 2), $50,000 a year for each of the remaining three years (t = 3, t = 4, and t = 5). The company has a cost of capital of 12 percent. What is the MIRR of the investment?

A) 12.10%
B) 14.33%
C) 16.00%
D) 18.25%
E) 19.45%
Question
An insurance firm agrees to pay you $3,310 at the end of 20 years if you pay premiums of $100 per year at the end of each year for 20 years. Find the internal rate of return to the nearest whole percentage point.

A) 9%
B) 7%
C) 5%
D) 3%
E) 11%
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Deck 12: Capital Budgeting: Decision Criteria
1
Given two mutually exclusive projects and a zero cost of capital, the payback method and NPV method of selecting investments will always lead to the same decision on which project to undertake.
False
2
If a project's NPV exceeds the project's IRR, then the project should be accepted.
False
3
Because present value refers to the value of cash flows that occur at different points in time, present values cannot be added to determine the value of a capital budgeting project.
False
4
The modified IRR (MIRR) always leads to the same capital budgeting decisions as the NPV method.
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5
A firm should never undertake an investment if accepting the project would cause an increase in the firm's cost of capital.
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6
One advantage of the payback period method of evaluating fixed asset investment possibilities is that it provides a rough measure of a project's liquidity and risk.
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7
The phenomenon called "multiple internal rates of return" arises when two or more mutually exclusive projects which have different lives are being compared.
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8
Other things held constant, an increase in the cost of capital discount rate will result in a decrease in a project's IRR.
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9
When considering two mutually exclusive projects, the financial manager should always select that project whose internal rate of return is the highest provided the projects have the same initial cost.
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10
A decrease in the firm's discount rate (r) will increase NPV, which could change the accept/reject decision for a potential project. However, such a change would have no impact on the project's IRR, hence on the accept/reject decision under the IRR method.
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11
The modified IRR (MIRR) method has wide appeal to professors, but most business executives prefer the NPV method to either the regular or modified IRR.
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12
The NPV method's assumption that cash inflows are reinvested at the cost of capital is more reasonable than the IRR's assumption that cash flows are reinvested at the IRR. This makes the NPV method preferable to the IRR method.
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13
If the IRR of normal Project X is greater than the IRR of mutually exclusive Project Y (also normal), we can conclude that the firm will select X rather than Y if X has a NPV > 0.
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14
The replacement chain, or common life, approach is applicable whether two projects with differing lives are mutually exclusive or independent.
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15
Under certain conditions, a particular project may have more than one IRR. One condition under which this situation can occur is if, in addition to the initial investment at time = 0, a negative cash flow occurs at the end of the project's life.
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16
Assuming that the total cash flows are equal, the NPV of a project whose cash flows accrue relatively rapidly is more sensitive to changes in the discount rate than is the NPV of a project whose cash flows come in more slowly.
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17
Normal Projects Q and R have the same NPV when the discount rate is zero. However, Project Q has larger early cash flows than R. Therefore, we know that at all discount rates greater than zero, Project R will have a greater NPV than Q.
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18
Conflicts between two mutually exclusive projects, where the NPV method chooses one project but the IRR method chooses the other, should generally be resolved in favor of the project with the higher NPV.
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19
The internal rate of return is that discount rate which equates the present value of the cash outflows (or costs) with the present value of the cash inflows.
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20
Project S has a pattern of high cash flows in its early life, while Project L has a longer life, with large cash flows late in its life. At the current cost of capital, normal Projects S and L have identical NPVs. Now suppose interest rates and money costs generally decline. Other things held constant, this change will cause L to become preferred to S.
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21
Which of the following statements is most correct?

A) If a project's internal rate of return (IRR) exceeds the cost of capital, then the project's net present value (NPV) must be positive.
B) If Project A has a higher IRR than Project B, then Project A must also have a higher NPV.
C) The IRR calculation implicitly assumes that all cash flows are reinvested at a rate of return equal to the cost of capital.
D) Answers a and c are correct.
E) None of the answers above is correct.
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22
Which of the following statements is most correct?

A) The NPV method assumes that cash flows will be reinvested at the cost of capital while the IRR method assumes reinvestment at the IRR.
B) The NPV method assumes that cash flows will be reinvested at the risk free rate while the IRR method assumes reinvestment at the IRR.
C) The NPV method assumes that cash flows will be reinvested at the cost of capital while the IRR method assumes reinvestment at the risk-free rate.
D) The NPV method does not consider the inflation premium.
E) The IRR method does not consider all relevant cash flows, and particularly cash flows beyond the payback period.
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23
Projects L and S each have an initial cost of $10,000, followed by a series of positive cash inflows. Project L has total, undiscounted cash inflows of $16,000, while S has total undiscounted inflows of $15,000. Further, at a discount rate of 10 percent, the two projects have identical NPVs. Which project's NPV will be more sensitive to changes in the discount rate? (Hint: Projects with steeper NPV profiles are more sensitive to discount rate changes.)

A) Project S.
B) Project L.
C) Both projects are equally sensitive to changes in the discount rate since their NPVs are equal at all costs of capital.
D) Neither project is sensitive to changes in the discount rate, since both have NPV profiles which are horizontal.
E) The solution cannot be determined unless the timing of the cash flows is known.
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24
Extending projects with different lives to a common life for comparison purposes, while theoretically appealing, should be done only if there is a high probability that the projects will actually be replicated beyond their initial lives.
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25
The IRR of normal Project X is greater than the IRR of normal Project Y, and both IRRs are greater than zero. Also, the NPV of X is greater than the NPV of Y at the cost of capital. If the two projects are mutually exclusive, Project X should definitely be selected, and the investment made, provided we have confidence in the data. Put another way, it is impossible to draw NPV profiles that would suggest not accepting Project X.
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26
Small businesses probably make less use of the DCF capital budgeting techniques than large businesses. This may reflect a lack of knowledge on the part of small firms' managers, but it may also reflect a rational conclusion that the costs of using DCF analysis outweigh the benefits of these methods for those firms.
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27
The main reason that the NPV method is regarded as being conceptually superior to the IRR method for evaluating mutually exclusive investments is that multiple IRRs may exist.
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28
The internal rate of return of a capital investment

A) Changes when the cost of capital changes.
B) Is equal to the annual net cash flows divided by one half of the project's cost when the cash flows are an annuity.
C) Must exceed the cost of capital in order for the firm to accept the investment.
D) Is similar to the yield to maturity on a bond.
E) Answers c and d are correct.
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29
A company estimates that its weighted average cost of capital (WACC) is 10 percent. Which of the following independent projects should the company accept?

A) Project A requires an up-front expenditure of $1,000,000 and generates a net present value of $3,200.
B) Project B has a modified internal rate of return of 9.5 percent.
C) Project C requires an up-front expenditure of $1,000,000 and generates a positive internal rate of return of 9.7 percent.
D) Project D has an internal rate of return of 9.5 percent.
E) None of the projects above should be accepted.
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30
The post-audit is used to

A) Improve cash flow forecasts.
B) Stimulate management to improve operations and bring results into line with forecasts.
C) Eliminate potentially profitable but risky projects.
D) All of the answers above are correct.
E) Answers a and b are correct.
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31
Project A has an internal rate of return (IRR) of 15 percent. Project B has an IRR of 14 percent. Both projects have a cost of capital of 12 percent. Which of the following statements is most correct?

A) Both projects have a positive net present value (NPV).
B) Project A must have a higher NPV than Project B.
C) If the cost of capital were less than 12 percent, Project B would have a higher IRR than Project A.
D) Statements a and c are correct.
E) Statements a, b, and c are correct.
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32
The NPV and IRR methods, when used to evaluate an independent project, will lead to different accept/reject decisions unless the IRR is greater than the cost of capital.
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33
Project A has an IRR of 15 percent. Project B has an IRR of 18 percent. Both projects have the same risk. Which of the following statements is most correct?

A) If the WACC is 10 percent, both projects will have a positive NPV, and the NPV of Project B will exceed the NPV of Project A.
B) If the WACC is 15 percent, the NPV of Project B will exceed the NPV of Project A.
C) If the WACC is less than 18 percent, Project B will always have a shorter payback than Project A.
D) If the WACC is greater than 18 percent, Project B will always have a shorter payback than Project A.
E) If the WACC increases, the IRR of both projects will decline.
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34
A major disadvantage of the payback period method is that it

A) Is useless as a risk indicator.
B) Ignores cash flows beyond the payback period.
C) Does not directly account for the time value of money.
D) All of the answers above are correct.
E) Only answers b and c are correct.
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35
Although the replacement chain, or common life, approach is appealing for dealing with projects with different lives, it is not used in industry because there are no projects which meet the assumptions the method requires.
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36
A project has an up-front cost of $100,000. The project's WACC is 12 percent and its net present value is $10,000. Which of the following statements is most correct?

A) The project should be rejected since its return is less than the WACC.
B) The project's internal rate of return is greater than 12 percent.
C) The project's modified internal rate of return is less than 12 percent.
D) All of the above answers are correct.
E) None of the above answers is correct.
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37
Assume a project has normal cash flows (i.e., the initial cash flow is negative, and all other cash flows are positive). Which of the following statements is most correct?

A) All else equal, a project's IRR increases as the cost of capital declines.
B) All else equal, a project's NPV increases as the cost of capital declines.
C) All else equal, a project's MIRR is unaffected by changes in the cost of capital.
D) Answers a and b are correct.
E) Answers b and c are correct.
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38
In capital budgeting analyses, it is possible that NPV and IRR will both involve an assumption of reinvestment of the project's cash flows at the same rate.
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39
Projects A and B have the same expected lives and initial cash outflows. However, one project's cash flows are larger in the early years, while the other project has larger cash flows in the later years. The two NPV profiles are given below: Which of the following statements is most correct?

A) Project A has the smaller cash flows in the later years.
B) Project A has the larger cash flows in the later years.
C) We require information on the cost of capital in order to determine which project has larger early cash flows.
D) The NPV profile graph is inconsistent with the statement made in the problem.
E) None of the statements above is correct.
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40
Any capital budgeting investment rule should depend solely on forecasted cash flows and the opportunity cost of capital. The rule itself should not be affected by managers' tastes, the choice of accounting method, or the profitability of other independent projects.
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41
In comparing two mutually exclusive projects of equal size and equal life, which of the following statements is most correct?

A) The project with the higher NPV may not always be the project with the higher IRR.
B) The project with the higher NPV may not always be the project with the higher MIRR.
C) The project with the higher IRR may not always be the project with the higher MIRR.
D) All of the answers above are correct.
E) Answers a and c are correct.
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42
Normal projects C and D are mutually exclusive. Project C has a higher net present value if the WACC is less than 12 percent, whereas Project D has a higher net present value if the WACC exceeds 12 percent. Both projects have a positive NPV if the WACC is 12 percent. Which of the following statements is most correct?

A) Project D has a higher internal rate of return.
B) Project D is probably larger in scale than Project C.
C) Project C probably has a faster payback.
D) All of the statements above are correct.
E) Answers a and c are correct.
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43
You are considering the purchase of an investment that would pay you $5,000 per year for Years 1-5, $3,000 per year for Years 6-8, and $2,000 per year for Years 9 and 10. If you require a 14 percent rate of return, and the cash flows occur at the end of each year, then how much should you be willing to pay for this investment?

A) $15,819.27
B) $21,937.26
C) $32,415.85
D) $38,000.00
E) $52,815.71
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44
Which of the following statements is incorrect?

A) Assuming a project has normal cash flows, the NPV will be positive if the IRR is less than the cost of capital.
B) If the multiple IRR problem does not exist, any independent project acceptable by the NPV method will also be acceptable by the IRR method.
C) If IRR = r (the cost of capital), then NPV = 0.
D) NPV can be negative if the IRR is positive.
E) The NPV method is not affected by the multiple IRR problem.
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45
Which of the following statements is most correct?

A) The MIRR method will always arrive at the same conclusion as the NPV method.
B) The MIRR method can overcome the multiple IRR problem, while the NPV method cannot.
C) The MIRR method uses a more reasonable assumption about reinvestment rates than the IRR method.
D) Statements a and c are correct.
E) All of the above statements are correct.
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46
Which of the following statements is most correct? The modified IRR (MIRR) method:

A) Always leads to the same ranking decision as NPV for independent projects.
B) Overcomes the problem of multiple rates of return.
C) Compounds cash flows at the cost of capital.
D) Overcomes the problems of cash flow timing and project size that lead to criticism of the regular IRR method.
E) Answers b and c are correct.
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47
Project A has an internal rate of return of 18 percent, while Project B has an internal rate of return of 16 percent. However, if the company's cost of capital (WACC) is 12 percent, Project B has a higher net present value. Which of the following statements is most correct?

A) The crossover rate for the two projects is less than 12 percent.
B) Assuming the timing of the two projects is the same, Project A is probably of larger scale than Project B.
C) Assuming that the two projects have the same scale, Project A probably has a faster payback than Project B.
D) Answers a and b are correct.
E) Answers b and c are correct.
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48
Assume a project has normal cash flows (that is, the initial cash flow is negative, and all other cash flows are positive). Which of the following statements is most correct?

A) All else equal, a project's IRR increases as the cost of capital declines.
B) All else equal, a project's NPV increases as the cost of capital declines.
C) All else equal, a project's MIRR is unaffected by changes in the cost of capital.
D) Answers a and b are correct.
E) Answers b and c are correct.
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49
Which of the following statements is most correct?

A) The IRR method is appealing to some managers because it produces a rate of return upon which to base decisions rather than a dollar amount like the NPV method.
B) The discounted payback method solves all the problems associated with the payback method.
C) For independent projects, the decision to accept or reject will always be the same using either the IRR method or the NPV method.
D) All of the statements above are correct.
E) Statements a and c are correct.
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50
The Seattle Corporation has been presented with an investment opportunity which will yield cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. This investment will cost the firm $150,000 today, and the firm's cost of capital is 10 percent. Assume cash flows occur evenly during the year, 1/365th each day. What is the payback period for this investment?

A) 5.23 years
B) 4.86 years
C) 4.00 years
D) 6.12 years
E) 4.35 years
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51
Which of the following statements is correct?

A) Because discounted payback takes account of the cost of capital, a project's discounted payback is normally shorter than its regular payback.
B) The NPV and IRR methods use the same basic equation, but in the NPV method the discount rate is specified and the equation is solved for NPV, while in the IRR method the NPV is set equal to zero and the discount rate is found.
C) If the cost of capital is less than the crossover rate for two mutually exclusive projects' NPV profiles, a NPV/IRR conflict will not occur.
D) If you are choosing between two projects which have the same life, and if their NPV profiles cross, then the smaller project will probably be the one with the steeper NPV profile.
E) If the cost of capital is relatively high, this will favor larger, longer-term projects over smaller, shorter-term alternatives because it is good to earn high rates on larger amounts over longer periods.
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52
Project X has an internal rate of return of 20 percent. Project Y has an internal rate of return of 15 percent. Both projects have a positive net present value. Which of the following statements is most correct?

A) Project X must have a higher net present value than Project Y.
B) If the two projects have the same WACC, Project X must have a higher net present value.
C) Project X must have a shorter payback than Project Y.
D) Both answers b and c are correct.
E) None of the above answers is correct.
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53
Which of the following statements is most correct?

A) One of the disadvantages of choosing between mutually exclusive projects on the basis of the discounted payback method is that you might choose the project with the faster payback period but with the lower total return.
B) Multiple IRRs can occur in cases when project cash flows are normal, but they are more common in cases where project cash flows are nonnormal.
C) When choosing between mutually exclusive projects, managers should accept all projects with IRRs greater than the weighted average cost of capital.
D) All of the statements above are correct.
E) Two of the statements above are correct.
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54
Your assistant has just completed an analysis of two mutually exclusive projects. You must now take her report to a board of directors meeting and present the alternatives for the board's consideration. To help you with your presentation, your assistant also constructed a graph with NPV profiles for the two projects. However, she forgot to label the profiles, so you do not know which line applies to which project. Of the following statements regarding the profiles, which one is most reasonable?

A) If the two projects have the same investment cost, and if their NPV profiles cross once in the upper right quadrant, at a discount rate of 40 percent, this suggests that a NPV versus IRR conflict is not likely to exist.
B) If the two projects' NPV profiles cross once, in the upper left quadrant, at a discount rate of minus 10 percent, then there will probably not be a NPV versus IRR conflict, irrespective of the relative sizes of the two projects, in any meaningful, practical sense (that is, a conflict which will affect the actual investment decision).
C) If one of the projects has a NPV profile which crosses the X-axis twice, hence the project appears to have two IRRs, your assistant must have made a mistake.
D) Whenever a conflict between NPV and IRR exist, then, if the two projects have the same initial cost, the one with the steeper NPV profile probably has less rapid cash flows. However, if they have identical cash flow patterns, then the one with the steeper profile probably has the lower initial cost.
E) If the two projects both have a single outlay at t = 0, followed by a series of positive cash inflows, and if their NPV profiles cross in the lower left quadrant, then one of the projects should be accepted, and both would be accepted if they were not mutually exclusive.
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55
Assume that you are comparing two mutually exclusive projects. Which of the following statements is most correct?

A) The NPV and IRR rules will always lead to the same decision unless one or both of the projects are "non-normal" in the sense of having only one change of sign in the cash flow stream, i.e., one or more initial cash outflows (the investment) followed by a series of cash inflows.
B) If a conflict exists between the NPV and the IRR, the conflict can always be eliminated by dropping the IRR and replacing it with the MIRR.
C) There will be a meaningful (as opposed to irrelevant) conflict only if the projects' NPV profiles cross, and even then, only if the cost of capital is to the left of (or lower than) the discount rate at which the crossover occurs.
D) Statements a, b, and c are true.
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56
Which of the following statements is most correct?

A) If a project with normal cash flows has an IRR which exceeds the cost of capital, then the project must have a positive NPV.
B) If the IRR of Project A exceeds the IRR of Project B, then Project A must also have a higher NPV.
C) The modified internal rate of return (MIRR) can never exceed the IRR.
D) Answers a and c are correct.
E) None of the answers above is correct.
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57
Two mutually exclusive projects each have a cost of $10,000. The total, undiscounted cash flows from Project L are $15,000, while the undiscounted cash flows from Project S total $13,000. Their NPV profiles cross at a discount rate of 10 percent. Which of the following statements best describes this situation?

A) The NPV and IRR methods will select the same project if the cost of capital is greater than 10 percent; for example, 18 percent.
B) The NPV and IRR methods will select the same project if the cost of capital is less than 10 percent; for example, 8 percent.
C) To determine if a ranking conflict will occur between the two projects the cost of capital is needed as well as an additional piece of information.
D) Project L should be selected at any cost of capital, because it has a higher IRR.
E) Project S should be selected at any cost of capital, because it has a higher IRR.
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58
Which of the following statements is most correct?

A) When dealing with independent projects, discounted payback (using a payback requirement of 3 or less years), NPV, IRR, and modified IRR always lead to the same accept/reject decisions for a given project.
B) When dealing with mutually exclusive projects, the NPV and modified IRR methods always rank projects the same, but those rankings can conflict with rankings produced by the discounted payback and the regular IRR methods.
C) Multiple rates of return are possible with the regular IRR method but not with the modified IRR method, and this fact is one reason given by the textbook for favoring MIRR (or modified IRR) over IRR.
D) Statements a, b, and c are false.
E) Statements a and c are true.
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59
Which of the following statements is correct?

A) There can never be a conflict between NPV and IRR decisions if the decision is related to a normal, independent project, i.e., NPV will never indicate acceptance if IRR indicates rejection.
B) To find the MIRR, we first compound CFs at the regular IRR to find the TV, and then we discount the TV at the cost of capital to find the PV.
C) The NPV and IRR methods both assume that cash flows are reinvested at the cost of capital. However, the MIRR method assumes reinvestment at the MIRR itself.
D) If you are choosing between two projects which have the same cost, and if their NPV profiles cross, then the project with the higher IRR probably has more of its cash flows coming in the later years.
E) A change in the cost of capital would normally change both a project's NPV and its IRR.
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60
Which of the following is most correct?

A) The NPV and IRR rules will always lead to the same decision in choosing between mutually exclusive projects, unless one or both of the projects are "non-normal" in the sense of having only one change of sign in the cash flow stream.
B) The Modified Internal Rate of Return (MIRR) compounds cash outflows at the cost of capital.
C) Conflicts between NPV and IRR rules arise in choosing between two mutually exclusive projects (that each have normal cash flows) when the cost of capital exceeds the crossover point (that is, the point at which the NPV profiles cross).
D) The discounted payback method overcomes the problems that the payback method has with cash flows occurring after the payback period.
E) None of the statements above is correct.
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61
The Seattle Corporation has been presented with an investment opportunity which will yield end-of-year cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. This investment will cost the firm $150,000 today, and the firm's cost of capital is 10 percent. What is the NPV for this investment?

A) $135,984
B) $ 18,023
C) $219,045
D) $ 51,138
E) $ 92,146
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62
A small manufacturer is considering two alternative machines. Machine A costs $1 million, has an expected life of 5 years, and generates after-tax cash flows of $350,000 per year. At the end of 5 years, the salvage value of the original machine is zero, but the company will be able to purchase another Machine A at a cost of $1.2 million. The second Machine A will generate after-tax cash flows of $375,000 a year for another 5 years at which time its salvage value will again be zero. Alternatively, the company can buy Machine B at a cost of $1.5 million today. Machine B will produce after-tax cash flows of $400,000 a year for ten years, and after ten years it will have an after-tax salvage value of $100,000. Assume that the cost of capital is 12 percent. If the company chooses the machine which adds the most value to the firm, by how much will the company's value increase?

A) $347,802.00
B) $451,775.21
C) $633,481.19
D) $792,286.54
E) $811,357.66
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63
Capitol City Transfer Company is considering building a new terminal in Salt Lake City. If the company goes ahead with the project, it must spend $1 million immediately (at t = 0) and another $1 million at the end of Year 1 (t = 1). It will then receive net cash flows of $0.5 million at the end of Years 2 - 5, and it expects to sell the property and net $1 million at the end of Year 6. All cash inflows and outflows are after taxes. The company's cost of capital is 12 percent, and it uses the modified IRR criterion for capital budgeting decisions. What is the project's modified IRR (MIRR)?

A) 11.9%
B) 12.0%
C) 11.4%
D) 11.5%
E) 11.7%
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64
Doherty Industries wants to invest in a new computer system. The company only wants to invest in one system, and has narrowed the choice down to System A and System B. System A requires an up-front cost of $100,000 and then generates positive after-tax cash flows of $60,000 at the end of each of the next two years. The system can be replaced every two years with the cash inflows and outflows remaining the same.
System B also requires an up-front cost of $100,000 and then generates positive after-tax cash flows of $48,000 at the end of each of the next three years. System B can be replaced every three years, but each time the system is replaced, both the cash inflows and outflows increase by 10 percent.
The company needs a computer system for the six years, after which time the current owners plan on retiring and liquidating the firm. The company's cost of capital is 11 percent. What is the NPV (on a six-year extended basis) of the system which creates the most value to the company?

A) $ 17,298.30
B) $ 22,634.77
C) $ 31,211.52
D) $ 38,523.43
E) $103,065.82
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65
Alyeska Salmon Inc., a large salmon canning firm operating out of Valdez, Alaska, has a new automated production line project it is considering. The project has a cost of $275,000 and is expected to provide after-tax annual cash flows of $73,306 for eight years. The firm's management is uncomfortable with the IRR reinvestment assumption and prefers the modified IRR approach. You have calculated a cost of capital for the firm of 12 percent. What is the project's MIRR?

A) 15.0%
B) 14.0%
C) 12.0%
D) 16.0%
E) 17.0%
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66
The capital budgeting director of Sparrow Corporation is evaluating a project which costs $200,000, is expected to last for 10 years and produce after-tax cash flows, including depreciation, of $44,503 per year. If the firm's cost of capital is 14 percent and its tax rate is 40 percent, what is the project's IRR?

A) 8%
B) 14%
C) 18%
D) -5%
E) 12%
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67
Your company is planning to open a new gold mine which will cost $3 million to build, with the expenditure occurring at the end of the year three years from today. The mine will bring year-end after-tax cash inflows of $2 million at the end of the two succeeding years, and then it will cost $0.5 million to close down the mine at the end of the third year of operation. What is this project's IRR?

A) 14.36%
B) 10.17%
C) 17.42%
D) 12.70%
E) 21.53%
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68
Michigan Mattress Company is considering the purchase of land and the construction of a new plant. The land, which would be bought immediately (at t = 0), has a cost of $100,000 and the building, which would be erected at the end of the first year (t = 1), would cost $500,000. It is estimated that the firm's after-tax cash flow will be increased by $100,000 starting at the end of the second year, and that this incremental flow would increase at a 10 percent rate annually over the next 10 years. What is the approximate payback period?

A) 2 years
B) 4 years
C) 6 years
D) 8 years
E) 10 years
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69
Houston Inc. is considering a project which involves building a new refrigerated warehouse which will cost $7,000,000 at t = 0 and which is expected to have operating cash flows of $500,000 at the end of each of the next 20 years. However, repairs which will cost $1,000,000 must be incurred at the end of the 10th year. Thus, at the end of Year 10 there will be a $500,000 operating cash inflow and an outflow of -$1,000,000 for repairs. If Houston's cost of capital is 12 percent, what is the project's MIRR? (Hint: Think carefully about the MIRR equation and the treatment of cash outflows.)

A) 7.75%
B) 8.29%
C) 9.81%
D) 11.45%
E) 12.33%
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70
Vanderheiden Inc. is considering two average-risk alternative ways of producing its patented polo shirts. Process S has a cost of $8,000 and will produce net cash flows of $5,000 per year for 2 years. Process L will cost $11,500 and will produce cash flows of $4,000 per year for 4 years. The company has a contract that requires it to produce the shirts for 4 years, but the patent will expire after 4 years, so the shirts will not be produced after 4 years. Inflation is expected to be zero during the next 4 years. If cash inflows occur at the end of each year, and if Vanderheiden's cost of capital is 10 percent, by what amount will the better project increase Vanderheiden's value?

A) $ 677.69
B) $1,098.89
C) $1,179.46
D) $1,237.76
E) $1,312.31
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71
Haig Aircraft is considering a project which has an up-front cost paid today at t = 0. The project will generate positive cash flows of $60,000 a year at the end of each of the next five years. The project's NPV is $75,000 and the company's WACC is 10 percent. What is the project's simple, regular payback?

A) 3.22 years
B) 1.56 years
C) 2.54 years
D) 2.35 years
E) 4.16 years
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72
Scott Corporation's new project calls for an investment of $10,000. It has an estimated life of 10 years. The IRR has been calculated to be 15 percent. If cash flows are evenly distributed and the tax rate is 40 percent, what is the annual before-tax cash flow each year? (Assume depreciation is a negligible amount.)

A) $1,993
B) $3,321
C) $1,500
D) $4,983
E) $5,019
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73
A company just paid $10 million for a feasibility study. If the company goes ahead with the project, it must immediately spend another $100 million now, and then spend $20 million in one year. In two years it will receive $80 million, and in three years it will receive $90 million. If the cost of capital for the project is 11 percent, what are the project's NPV and IRR?

A) NPV = $2.72 million; IRR = Two positive IRRs.
B) NPV = $2.72 million; IRR = 16%.
C) NPV = $12.72 million; IRR = Two positive IRRs.
D) NPV = $12.72 million; IRR = 16%.
E) None of the above.
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74
King Racing Company (KRC) is considering which of two mutually exclusive engine development projects to pursue. King's RPX design has an expected life of 4 years and projected cash inflows are $3.6 million at the end of each of the first two years and $1.8 million in each of the next two years. King's RPB design is more flexible and has an eight-year life. The projected end-of-year flows from the RPB design are $2.4 million in each of the first two years and $2.0 million in each of the next six years. Both projects require an initial investment of $5.4 million, and King's cost of capital is 12 percent. Frequent changes in racing rules and engine technology make engine development risky, but King feels that the basic designs can be refined and modified. Thus, King often assumes that continuous replacements can be made as a project's life ends. What is the net present value (on an eight-year extended basis) of the project with the most value to the company?

A) $ 3.109 million
B) $ 1.976 million
C) $ 5.085 million
D) $ 5.211 million
E) $ 6.218 million
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75
Johnson Jets is considering two mutually exclusive machines. Machine A has an up-front cost of $100,000 (CF0 = -100,000)Machine B has an up-front cost of $50,000(CF0 = -50,000)The company's cost of capital is 10.5 percent. What is the net present value (on a six-year extended basis) of the most profitable machine?

A) $23,950
B) $41,656
C) $56,238
D) $62,456
E) $71,687
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76
As the capital budgeting director for Chapel Hill Coffins Company, you are evaluating construction of a new plant. The plant has a net cost of $5 million in Year 0 (today), and it will provide net cash inflows of $1 million at the end of Year 1, $1.5 million at the end of Year 2, and $2 million at the end of Years 3 through 5. Within what range is the plant's IRR?

A) 14 - 15%
B) 15 - 16%
C) 16 - 17%
D) 17 - 18%
E) 18 - 19%
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77
Jones Company's new truck has a cost of $20,000, and it will produce end-of-year net cash inflows of $7,000 per year for 5 years. The cost of capital for an average-risk project like the truck is 8 percent. What is the sum of the project's IRR and its MIRR?

A) 15.48%
B) 18.75%
C) 26.11%
D) 34.23%
E) 37.59%
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78
Florida Phosphate is considering a project which involves opening a new mine at a cost of $10,000,000 at t = 0. The project is expected to have operating cash flows of $5,000,000 at the end of each of the next 4 years. However, the facility will have to be repaired at a cost of $6,000,000 at the end of the second year. Thus, at the end of Year 2 there will be a $5,000,000 operating cash inflow and an outflow of -$6,000,000 for repairs. The company's cost of capital is 15 percent. What is the difference between the project's MIRR and its regular IRR?

A) 0.00%
B) 0.51%
C) 3.40%
D) 9.65%
E) 13.78%
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79
Martin Manufacturers is considering a five-year investment which costs $100,000. The investment will produce cash flows of $25,000 each year for the first two years (t = 1 and t = 2), $50,000 a year for each of the remaining three years (t = 3, t = 4, and t = 5). The company has a cost of capital of 12 percent. What is the MIRR of the investment?

A) 12.10%
B) 14.33%
C) 16.00%
D) 18.25%
E) 19.45%
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80
An insurance firm agrees to pay you $3,310 at the end of 20 years if you pay premiums of $100 per year at the end of each year for 20 years. Find the internal rate of return to the nearest whole percentage point.

A) 9%
B) 7%
C) 5%
D) 3%
E) 11%
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