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Which of the following best describes the NPV profile?


A) A graph of a project's NPV as a function of possible IRRs.
B) A graph of a project's NPV over time.
C) A graph of a project's NPV as a function of possible capital costs.
D) None of the statements are correct.

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Suppose your firm is considering investing in a project with the cash flows shown as follows, that the required rate of return on projects of this risk class is 12 percent, and that the maximum allowable payback and discounted payback statistic for the project are two and two and a half years, respectively.  Time 012345 Cash Flow 125,00065,00078,000105,000105,00025,000\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash Flow } & - 125,000 & 65,000 & 78,000 & 105,000 & 105,000 & 25,000 \\\hline\end{array}


A) 0.23 years, accept
B) 1.77 years, accept
C) 2 years, accept
D) 4.33 years, reject

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A company is considering two mutually exclusive projects, A and B Project A requires an initial investment of $200, followed by cash flows of $185, $40, and $15. Project B requires an initial investment of $200, followed by cash flows of $0, $50, and $230. What is the IRR of the project that is best for the company's shareholders? The firm's cost of capital is 10 percent.


A) 15.45 percent
B) 15.12 percent
C) 13.57 percent
D) 12.71 percent

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Suppose your firm is considering investing in a project with the cash flows shown as follows, that the required rate of return on projects of this risk class is 10 percent, and that the maximum allowable payback and discounted payback statistics for the project are three and a half and four and a half years, respectively. Use the NPV decision to evaluate this project; should it be accepted or rejected?  Time 01234565 Cash Flow $85,000$12,000$11,000$13,000$21,000$31,000$32,000\begin{array} { l c c c c c c c c } \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 5 \\\text { Cash Flow } & - \$ 85,000 & \$ 12,000 & \$ 11,000 & \$ 13,000 & \$ 21,000 & \$ 31,000 & \$ 32,000 &\end{array}


A) NPV = $1,766.55; accept the project
B) NPV =-$892.19; reject the project
C) NPV = $1,288.94; accept the project
D) NPV = -$3,577.90; reject the project

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Compute the NPV for Project X with the cash flows shown as follows if the appropriate cost of capital is 9 percent.  Time: 012345 Cash flow: 1,0007510010002,000\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time: } & 0 & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } & \mathbf { 5 } \\\hline \text { Cash flow: } & - \mathbf { 1 , 0 0 0 } & - \mathbf { 7 5 } & \mathbf { 1 0 0 } & \mathbf { 1 0 0 } & 0 & 2,000 \\\hline\end{array}


A) (-$639.96)
B) $360.04
C) $392.44
D) $486.29

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Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown as follows. The required rate of return on projects of both of their risk class is 8 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and three years, respectively.  Time 0123 Project A Cash Flow 20,00010,00030,0001,000 Project B Cash Flow 30,00010,00020,00050,000\begin{array} { | l | c | c | c | c | } \hline \text { Time } & 0 & 1 & 2 & 3 \\\hline \text { Project A Cash Flow } & - 20,000 & 10,000 & 30,000 & 1,000 \\\text { Project B Cash Flow } & - 30,000 & 10,000 & 20,000 & 50,000 \\\hline\end{array} Use the NPV decision rule to evaluate these projects; which one(s) should be accepted or rejected?


A) Accept both A and B
B) Accept neither A nor B
C) Accept A, reject B
D) Reject A, accept B

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Compute the discounted payback statistic for Project X and recommend whether the firm should accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 10 percent and the maximum allowable discounted payback is three years.  Time: 012345 Cash flow: 1,000500480400300150\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time: } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash flow: } & - 1,000 & 500 & 480 & 400 & 300 & 150 \\\hline\end{array}


A) 2.49 years, accept
B) 2.98 years, accept
C) 3.49 years, reject
D) 4.98 years, reject

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Compute the MIRR statistic for Project J and advise whether to accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 10 percent.  Time 012345 Cash Flow $1,000$300$1,480$500$300$100\begin{array} { l c c c c c c } \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 \\\text { Cash Flow } & - \$ 1,000 & \$ 300 & \$ 1,480 & - \$ 500 & \$ 300 & - \$ 100 \\\hline\end{array}


A) The project's MIRR is 14.77 percent and the project should be accepted.
B) The project's MIRR is 9.29 percent and the project should be rejected.
C) The project's MIRR is 13.76 percent and the project should be accepted.
D) The project's MIRR is 15.31 percent and the project should be accepted.

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All of the following are strengths of payback EXCEPT:


A) its benchmark is not determined by a relevant external constraint.
B) it incorporates the time value of money.
C) it uses a conservative reinvestment rate.
D) none of the options.

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Projects A and B are mutually exclusive. Project A costs $20,000 and is expected to generate cash inflows of $7,500 for 4 years. Project B costs $10,000 and is expected to generate a single cash flow in year 4 of $20,000. The cost of capital is 12%. Which project would you accept and why?


A) Project B because it has the higher NPV.
B) Project B because it has the higher IRR.
C) Project A because it has the higher NPV.
D) Project A because it has the higher IRR.

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Compute the payback statistic for Project X and recommend whether the firm should accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 10 percent and the maximum allowable payback is five years.  Time: 012345 Cash flow: 757501007550\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time: } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash flow: } & - 75 & - 75 & 0 & 100 & 75 & 50 \\\hline\end{array}


A) 3.67 years, accept
B) 4.67 years, accept
C) 3.67 years, reject
D) 4.67 years, reject

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Suppose your firm is considering investing in a project with the cash flows shown as follows, that the required rate of return on projects of this risk class is 8 percent, and that the maximum allowable payback and discounted payback statistic for the project are three and three and a half years, respectively.  Time 012345 Cash Flow 100,00030,00045,00055,00030,00010,000\begin{array} { | l | c | c | c | c | c | c | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash Flow } & - 100,000 & 30,000 & 45,000 & 55,000 & 30,000 & 10,000 \\\hline\end{array}


A) 1.23 years, Accept
B) 2.45 years, accept
C) 2.77 years, accept
D) 5.36 years, reject

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Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown as follows. The required rate of return on projects of both of their risk class is 8 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and three years, respectively.  Time 0123 Project A Cash Flow 20,00010,00030,0001,000 Project B Cash Flow 30,00010,00020,00050,000\begin{array} { | l | c | c | c | c | } \hline \text { Time } & 0 & 1 & 2 & 3 \\\hline \text { Project A Cash Flow } & - 20,000 & 10,000 & 30,000 & 1,000 \\\text { Project B Cash Flow } & - 30,000 & 10,000 & 20,000 & 50,000 \\\hline\end{array}


A) Accept both A and B
B) Accept neither A nor B
C) Accept A, reject B
D) Reject A, accept B

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Which rate-based decision statistic measures the excess return (the amount above and beyond the cost of capital for a project) , rather than the gross return?


A) Internal rate of return (IRR)
B) Modified internal rate of return (MIRR)
C) Profitability index (PI)
D) Net present value (NPV)

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We accept projects with a positive NPV because it means that:


A) we have recovered all our costs.
B) we are creating wealth for shareholders.
C) the project's expected return exceeds the cost of capital.
D) all of the options.

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Which of the following tools is suitable for choosing between mutually exclusive projects?


A) NPV
B) IRR
C) MIRR
D) None are suitable

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The MIRR statistic is different from the IRR statistic in that:


A) the MIRR assumes that the cash inflows can be reinvested at the cost of capital.
B) the MIRR assumes that the cash inflows can be reinvested at the IRR.
C) the MIRR uses weighted-average dollars.
D) the MIRR uses input from the NPV whereas the IRR does not.

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How many possible IRRs could you find for the following set of cash flows?  Time 01234 Cash Flow $10,000$5,350$4,180$1,520$2,000\begin{array} { l c c c c c } \text { Time } & 0 & 1 & 2 & 3 & 4 \\\text { Cash Flow } & - \$ 10,000 & \$ 5,350 & \$ 4,180 & \$ 1,520 & \$ 2,000\end{array}


A) 1
B) 2
C) 3
D) Unable to determine unless we have the cost of capital.

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A project's IRR is the interest rate that:


A) causes the project's NPV to equal zero.
B) is used to discount cash flows when computing the project's NPV.
C) is used to determine which one of two mutually exclusive projects should be accepted.
D) is used to compute the project's discounted payback period.

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All of the following capital budgeting tools are suitable for non-normal cash flows EXCEPT:


A) MIRR.
B) profitability index.
C) IRR.
D) NPV.

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