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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%

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

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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.

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

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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

F) All of the above
G) D) and E)

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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

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

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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.

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

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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.

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

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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.

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

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After getting her degree in marketing and working for 5 years for a large department store, Sally started her own specialty shop in a regional mall. Sally's current lease calls for payments of $1,000 at the end of each month for the next 60 months. Now the landlord offers Sally a new 5-year lease which calls for zero rent for 6 months, then rental payments of $1,050 at the end of each month for the next 54 months. Sally's cost of capital is 11 percent. By what absolute dollar amount would accepting the new lease change Sally's theoretical net worth? (Hint: The cost of capital per month is 11%/12 = 0.9166667%.)


A) $2,810.09
B) $3,243.24
C) $3,803.06
D) $4,299.87
E) $4,681.76

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

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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.

A) True
B) False

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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.

A) True
B) False

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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.

A) True
B) False

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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.

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

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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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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.

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

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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.

A) True
B) False

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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.

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

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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.

A) True
B) False

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Mills Corp. is considering adopting one of two machines. Machine A requires an up-front expenditure at t = 0 of $450,000. Machine A has an expected life of two years, and will generate positive after-tax cash flows of $350,000 per year (all cash flows are realized at the end of the year) Alternatively, Machine B requires an expenditure of $1 million at t = 0. Machine B has an expected life of four years, and will generate positive after-tax cash flows of $350,000 per year (all cash flows are realized at year end) The cost of capital is 10 percent. What is the net present value (on an extended four-year life) of the better machine?


A) $157,438
B) $177,754
C) $287,552
D) $355,508
E) $500,000

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

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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

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

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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.

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

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