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A basic rule in capital budgeting is that if a project's NPV exceeds its IRR,then the project should be accepted.

A) True
B) False

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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 cost of capital,then under all reasonable conditions,the project's IRR must be negative.
B) If a project's IRR is equal to its cost of capital,then under all reasonable conditions the project's NPV must be zero.
C) There is no necessary relationship between a project's IRR,its cost of capital,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 cost of capital,then,under all reasonable conditions,the project's NPV must be negative.

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

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Craig's Car Wash Inc.is considering a project that has the following cash flow and cost of capital (r) data.What is the project's discounted payback? R = 10) 00% Year 0 1 2 3 Cash flows āˆ’$900 $500 $500 $500


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

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

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The cost of capital for two mutually exclusive projects that are being considered is 12%.Project K has an IRR of 20% while Project R's IRR is 15%.The projects have the same NPV at the 12% current cost of capital.Interest rates are currently high.However,you believe that money costs and thus your cost of capital will soon decline.You also think that the projects will not be funded until the cost of capital has decreased,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 cost of capital it will have the higher NPV.
C) You should recommend Project K,because at the new cost of capital it will have the higher NPV.
D) You should recommend Project R because it will have both a higher IRR and a higher NPV under the new conditions.
E) You should reject both projects because they will both have negative NPVs under the new conditions.

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

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The regular payback method is deficient in that it does not take account of cash flows beyond the payback period.The discounted payback method corrects this fault.

A) True
B) False

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Consider projects S and L.Both have normal cash flows,and the projects have the same risk,hence both are evaluated with the same cost of capital,10%.However,S has a higher IRR than L.Which of the following statements is CORRECT?


A) If Project S has a positive NPV,Project L must also have a positive NPV.
B) If the cost of capital falls,each project's IRR will increase.
C) If the cost of capital increases,each project's IRR will decrease.
D) If Projects S and L have the same NPV at the current cost of capital,10%,then Project L,the one with the lower IRR,would have a higher NPV if the cost of capital used to evaluate the projects declined.
E) Project S must have a higher NPV than Project L.

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

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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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Which of the following statements is CORRECT?


A) If Project A's IRR exceeds Project B's,then A must have the higher NPV.
B) A project's MIRR can never exceed its IRR.
C) If a project with normal cash flows has an IRR less than the cost of capital,the project must have a positive NPV.
D) If the NPV is negative,the IRR must also be negative.
E) If a project with normal cash flows has an IRR greater than the cost of capital,the project must also have a positive NPV.

F) A) and B)
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 regular IRR is found by compounding the cash inflows at the cost of capital to find the present value (PV) ,then discounting the TV to find the IRR.
B) If a project's IRR is smaller than the cost of capital,then its NPV will be positive.
C) A project's IRR is the discount rate that causes the PV of the inflows to equal the project's cost.
D) If a project's IRR is positive,then its NPV must also be positive.
E) A project's regular IRR is found by compounding the initial cost at the cost of capital to find the terminal value (TV) ,then discounting the TV at the cost of capital.

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

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Poder Inc.is considering a project that has the following cash flow data.What is the project's payback? Year 0 1 2 3 Cash flows āˆ’$750 $300 $325 $350


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

F) A) and B)
G) None of the above

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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 NPV.

A) True
B) False

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Consider two projects,X and Y.Project X's IRR is 19% and Project Y's IRR is 17%.The projects have the same risk and the same lives,and each has constant cash flows during each year of their lives.If the cost of capital is 10%,Project Y has a higher NPV than X.Given this information,which of the following statements is CORRECT?


A) The crossover rate must be greater than 10%.
B) If the cost of capital is 8%,Project X will have the higher NPV.
C) If the cost of capital is 18%,Project Y will have the higher NPV.
D) Project X is larger in the sense that it has the higher initial cost.
E) The crossover rate must be less than 10%.

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

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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.

A) True
B) False

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Worthington Inc.is considering a project that has the following cash flow data.What is the project's payback? Year 0 1 2 3 Cash flows āˆ’$500 $150 $200 $300


A) 2.03 years
B) 2.25 years
C) 2.50 years
D) 2.75 years
E) 3.03 years

F) None of the above
G) All of the above

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Which of the following statements is CORRECT?


A) If two projects are mutually exclusive,then they are likely to have multiple IRRs.
B) If a project is independent,then it cannot have multiple IRRs.
C) Multiple IRRs can occur only if the signs of the cash flows change more than once.
D) If a project has two IRRs,then the smaller one is the one that is most relevant,and it should be accepted and relied upon.
E) For a project to have more than one IRR,then both IRRs must be greater than the cost of capital.

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

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Projects C and D both have normal cash flows and are mutually exclusive.Project C has a higher NPV if the cost of capital is less than 12%,whereas Project D has a higher NPV if the cost of capital exceeds 12%.Which of the following statements is CORRECT?


A) Project D is probably larger in scale than Project C.
B) Project C probably has a faster payback.
C) Project C probably has a higher IRR.
D) The crossover rate between the two projects is below 12%.
E) Project D probably has a higher IRR.

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

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Normal Projects S and L have the same NPV when the discount rate is zero.However,Project S's cash flows come in faster than those of L.Therefore,we know that at any discount rate greater than zero,L will have the higher NPV.

A) True
B) False

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Which of the following statements is CORRECT?


A) The payback method is generally regarded by academics as being the best single method for evaluating capital budgeting projects.
B) The discounted payback method is generally regarded by academics as being the best single method for evaluating capital budgeting projects.
C) The net present value method (NPV) is generally regarded by academics as being the best single method for evaluating capital budgeting projects.
D) The modified internal rate of return method (MIRR) is generally regarded by academics as being the best single method for evaluating capital budgeting projects.
E) The internal rate of return method (IRR) is generally regarded by academics as being the best single method for evaluating capital budgeting projects.

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

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Which of the following statements is CORRECT?


A) If a project has "normal" cash flows,then its MIRR must be positive.
B) If a project has "normal" cash flows,then it will have exactly two real IRRs.
C) The definition of "normal" cash flows is that the cash flow stream has one or more negative cash flows followed by a stream of positive cash flows and then one negative cash flow at the end of the project's life.
D) If a project has "normal" cash flows,then it can have only one real IRR,whereas a project with "nonnormal" cash flows might have more than one real IRR.
E) If a project has "normal" cash flows,then its IRR must be positive.

F) A) and E)
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) The lower the cost of capital used to calculate a project's NPV,the lower the calculated NPV will be.
B) If a project's NPV is less than zero,then its IRR must be less than the cost of capital.
C) If a project's NPV is greater than zero,then its IRR must be less than zero.
D) The NPV of a relatively low-risk project should be found using a relatively high cost of capital.
E) A project's NPV is found by compounding the cash inflows at the IRR to find the terminal value (TV) ,then discounting the TV at the cost of capital.

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

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