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The phenomenon called "multiple internal rates of return" arises when two or more mutually exclusive projects that have different lives are compared to one another.

A) True
B) False

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Which of the following statements is CORRECT?


A) One advantage of the NPV over the IRR is that NPV assumes that cash flows will be reinvested at the WACC, whereas IRR assumes that cash flows are reinvested at the IRR. The NPV assumption is generally more appropriate.
B) One advantage of the NPV over the MIRR method is that NPV takes account of cash flows over a project's full life whereas MIRR does not.
C) One advantage of the NPV over the MIRR method is that NPV discounts cash flows whereas the MIRR is based on undiscounted cash flows.
D) Since cash flows under the IRR and MIRR are both discounted at the same rate (the WACC) , these two methods always rank mutually exclusive projects in the same order.
E) One advantage of the NPV over the IRR is that NPV takes account of cash flows over a project's full life whereas IRR does not.

F) A) and D)
G) B) and E)

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Which of the following statements is CORRECT?


A) The discounted payback method eliminates all of the problems associated with the payback method.
B) When evaluating independent projects, the NPV and IRR methods often yield conflicting results regarding a project's acceptability.
C) To find the MIRR, we discount the TV at the IRR.
D) A project's NPV profile must intersect the X-axis at the project's WACC.
E) The IRR method appeals to some managers because it gives an estimate of the rate of return on projects rather than a dollar amount, which the NPV method provides.

F) B) and C)
G) A) and E)

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E

Martin Manufacturing is considering two normal,equally risky,mutually exclusive,but not repeatable projects.Martin's WACC is 10%.The two projects have the same investment costs,but Project A has an IRR of 15%,while Project B has an IRR of 20%.Assuming the projects' NPV profiles cross in the upper right quadrant,which of the following statements is CORRECT?


A) Since the projects are mutually exclusive, the firm should always select Project B.
B) If the crossover rate is 8%, Project B will have the higher NPV.
C) Only one project has a positive NPV.
D) If the crossover rate is 8%, Project A will have the higher NPV.
E) Each project must have a negative NPV.

F) B) and D)
G) A) and C)

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B

When evaluating mutually exclusive projects,the modified IRR (MIRR)always leads to the same capital budgeting decisions as the NPV method,regardless of the relative lives or sizes of the projects being evaluated.

A) True
B) False

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Which of the following statements is CORRECT?


A) One defect of the IRR method is that it does not take account of the time value of money.
B) One defect of the IRR method is that it does not take account of the cost of capital.
C) One defect of the IRR method is that it values a dollar received today the same as a dollar that will not be received until sometime in the future.
D) One defect of the IRR method is that it assumes that the cash flows to be received from a project can be reinvested at the IRR itself, and that assumption is often not valid.
E) One defect of the IRR method is that it does not take account of cash flows over a project's full life.

F) C) and D)
G) B) and E)

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Which of the following statements is CORRECT?


A) The discounted payback method recognizes all cash flows over a project's life, and it also adjusts these cash flows to account for the time value of money.
B) The regular payback method was, years ago, widely used, but virtually no companies even calculate the payback today.
C) The regular payback is useful as an indicator of a project's liquidity because it gives managers an idea of how long it will take to recover the funds invested in a project.
D) The regular payback does not consider cash flows beyond the payback year, but the discounted payback overcomes this defect.
E) The regular payback method recognizes all cash flows over a project's life.

F) A) and B)
G) A) and E)

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No conflict will exist between the NPV and IRR methods,when used to evaluate two equally risky but mutually exclusive projects,if the projects' cost of capital exceeds the rate at which the projects' NPV profiles cross.

A) True
B) False

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Langton Inc.is considering Projects S and L,whose cash flows are shown below.These projects are mutually exclusive,equally risky,and not repeatable.The CEO believes the IRR is the best selection criterion,while the CFO advocates the MIRR.If the decision is made by choosing the project with the higher IRR rather than the one with the higher MIRR,how much,if any,value will be forgone.In other words,what's the NPV of the chosen project versus the maximum possible NPV? Note that (1) "true value" is measured by NPV,and (2) under some conditions the choice of IRR vs.MIRR will have no effect on the value lost. Langton Inc.is considering Projects S and L,whose cash flows are shown below.These projects are mutually exclusive,equally risky,and not repeatable.The CEO believes the IRR is the best selection criterion,while the CFO advocates the MIRR.If the decision is made by choosing the project with the higher IRR rather than the one with the higher MIRR,how much,if any,value will be forgone.In other words,what's the NPV of the chosen project versus the maximum possible NPV? Note that (1)  true value  is measured by NPV,and (2) under some conditions the choice of IRR vs.MIRR will have no effect on the value lost.   A) $185.90 B) $197.01 C) $208.11 D) $219.22 E) $230.32


A) $185.90
B) $197.01
C) $208.11
D) $219.22
E) $230.32

F) D) and E)
G) None of the above

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Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows,with one outflow followed by a series of inflows.


A) A project's MIRR is always less than its regular IRR.
B) If a project's IRR is greater than its WACC, then the MIRR will be less than the IRR.
C) If a project's IRR is greater than its WACC, then the MIRR will be greater than the IRR.
D) To find a project's MIRR, we compound cash inflows at the IRR and then discount the terminal value back to t = 0 at the WACC.
E) A project's MIRR is always greater than its regular IRR.

F) A) and D)
G) B) and E)

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Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows,with one outflow followed by a series of inflows.


A) A project's regular IRR is found by discounting the cash inflows at the WACC to find the present value (PV) , then compounding this PV to find the IRR.
B) If a project's IRR is greater than the WACC, then its NPV must be negative.
C) To find a project's IRR, we must solve for the discount rate that causes the PV of the inflows to equal the PV of the project's costs.
D) To find a project's IRR, we must find a discount rate that is equal to the WACC.
E) A project's regular IRR is found by compounding the cash inflows at the WACC to find the terminal value (TV) , then discounting this TV at the WACC.

F) A) and B)
G) D) and E)

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Projects S and L are both normal projects with an initial cost of $10,000,followed by a series of positive cash inflows.Project S's undiscounted net cash flows total $20,000,while L's total undiscounted flows are $30,000.At a WACC of 10%,the two projects have identical NPVs.Which project's NPV is more sensitive to changes in the WACC?


A) Project L.
B) Both projects are equally sensitive to changes in the WACC since their NPVs are equal at all costs of capital.
C) Neither project is sensitive to changes in the discount rate, since both have NPV profiles that are horizontal.
D) The solution cannot be determined because the problem gives us no information that can be used to determine the projects' relative IRRs.
E) Project S.

F) D) and E)
G) B) and C)

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Which of the following statements is CORRECT? Assume that all projects being considered have normal cash flows and are equally risky.


A) If a project's IRR is equal to its WACC, then under all reasonable conditions, the project's IRR must be negative.
B) If a project's IRR is equal to its WACC, then under all reasonable conditions the project's NPV must be zero.
C) There is no necessary relationship between a project's IRR, its WACC, and its NPV.
D) When evaluating mutually exclusive projects, those projects with relatively long lives will tend to have relatively high NPVs when the cost of capital is relatively high.
E) If a project's IRR is equal to its WACC, then, under all reasonable conditions, the project's NPV must be negative.

F) None of the above
G) C) and D)

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Murray Inc.is considering Projects S and L,whose cash flows are shown below.These projects are mutually exclusive,equally risky,and not repeatable.The CEO wants to use the IRR criterion,while the CFO favors the NPV method.You were hired to advise Murray on the best procedure.If the wrong decision criterion is used,how much potential value would Murray lose? Murray Inc.is considering Projects S and L,whose cash flows are shown below.These projects are mutually exclusive,equally risky,and not repeatable.The CEO wants to use the IRR criterion,while the CFO favors the NPV method.You were hired to advise Murray on the best procedure.If the wrong decision criterion is used,how much potential value would Murray lose?   A) $188.68 B) $198.61 C) $209.07 D) $219.52 E) $230.49


A) $188.68
B) $198.61
C) $209.07
D) $219.52
E) $230.49

F) C) and E)
G) B) and C)

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The WACC for two mutually exclusive projects that are being considered is 8%.Project K has an IRR of 20% while Project R's IRR is 15%.The projects have the same NPV at the 8% current WACC.However,you believe that money costs and thus your WACC will also increase.You also think that the projects will not be funded until the WACC has increased,and their cash flows will not be affected by the change in economic conditions.Under these conditions,which of the following statements is CORRECT?


A) You should delay a decision until you have more information on the projects, even if this means that a competitor might come in and capture this market.
B) You should recommend Project R, because at the new WACC it will have the higher NPV.
C) You should recommend Project K, because at the new WACC it will have the higher NPV.
D) You should recommend Project K because it has the higher IRR and will continue to have the higher IRR even at the new WACC.
E) You should reject both projects because they will both have negative NPVs under the new conditions.

F) C) and D)
G) A) and B)

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C

Conflicts between two mutually exclusive projects occasionally occur,where the NPV method ranks one project higher but the IRR method ranks the other one first.In theory,such conflicts should be resolved in favor of the project with the higher positive IRR.

A) True
B) False

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Craig's Car Wash Inc.is considering a project that has the following cash flow and WACC data.What is the project's discounted payback? Craig's Car Wash Inc.is considering a project that has the following cash flow and WACC data.What is the project's discounted payback?   A) 1.88 years B) 2.09 years C) 2.29 years D) 2.52 years E) 2.78 years


A) 1.88 years
B) 2.09 years
C) 2.29 years
D) 2.52 years
E) 2.78 years

F) A) and B)
G) All of the above

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Projects S and L,whose cash flows are shown below,are mutually exclusive,equally risky,and not repeatable.Hooper Inc.is considering which of these two projects to undertake.If the decision is made by choosing the project with the higher IRR,how much value will be forgone? Note that under certain conditions choosing projects on the basis of the IRR will not cause any value to be lost because the project with the higher IRR will also have the higher NPV,so no value will be lost if the IRR method is used. Projects S and L,whose cash flows are shown below,are mutually exclusive,equally risky,and not repeatable.Hooper Inc.is considering which of these two projects to undertake.If the decision is made by choosing the project with the higher IRR,how much value will be forgone? Note that under certain conditions choosing projects on the basis of the IRR will not cause any value to be lost because the project with the higher IRR will also have the higher NPV,so no value will be lost if the IRR method is used.   A) $134.79 B) $141.89 C) $149.36 D) $164.29 E) $205.36


A) $134.79
B) $141.89
C) $149.36
D) $164.29
E) $205.36

F) C) and D)
G) A) and E)

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Assume a project has normal cash flows.All else equal,which of the following statements is CORRECT?


A) A project's NPV increases as the WACC declines.
B) A project's MIRR is unaffected by changes in the WACC.
C) A project's regular payback increases as the WACC declines.
D) A project's discounted payback increases as the WACC declines.
E) A project's IRR increases as the WACC declines.

F) A) and E)
G) A) and C)

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Poder Inc.is considering a project that has the following cash flow data.What is the project's payback? Poder Inc.is considering a project that has the following cash flow data.What is the project's payback?   A) 1.91 years B) 2.12 years C) 2.36 years D) 2.59 years E) 2.85 years


A) 1.91 years
B) 2.12 years
C) 2.36 years
D) 2.59 years
E) 2.85 years

F) A) and E)
G) C) and D)

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