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Compute the PI statistic for Project X and note 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.  Time: 012345 Cash flow: 2507501007550\begin{array} { l l l l l l l } \text { Time: } & 0 & 1 & 2 & 3 & 4 & 5 \\\text { Cash flow: } & - 250 & 75 & 0 & 100 & 75 & 50\end{array}


A) -0.0977 percent, reject
B) -9.77 percent, reject
C) -24.41 percent, reject
D) 24.41 percent, accept

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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 10 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and a half and three and a half years, respectively.  Time 0123 Project A Cash Flow 1,000300400700 Project B Cash Flow 500200400300\begin{array} { l l l l l } \text { Time } & 0 & 1 & 2 & 3 \\\text { Project A Cash Flow } & - 1,000 & 300 & 400 & 700 \\\text { Project B Cash Flow } & - 500 & 200 & 400 & 300\end{array} Use the PI 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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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 10 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and a half and three and a half years, respectively.  Time 0123 Project A Cash Flow 1,000300400700 Project B Cash Flow 500200400300\begin{array} { l l l l l } \text { Time } & 0 & 1 & 2 & 3 \\\text { Project A Cash Flow } & - 1,000 & 300 & 400 & 700 \\\text { Project B Cash Flow } & - 500 & 200 & 400 & 300\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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D

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.Project J  Time 012345 Cash Flow $1,000$300$1,480$500$300$100\begin{array} { | r | l | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \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.  Year 012345 Cash Flow $1,000$300$1,480$500$300$100 Present  Value (If  Negative)  $1,000375.6662.09 Sum of PV $1,437.75 Future  Value (If  Positive)  439.231969.88330.00 Sum of FV $2.739.11 Modified  CFs $1,437.75$2.739.11\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Year } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash Flow } & - \$ 1,000 & \$ 300 & \$ 1,480 & - \$ 500 & \$ 300 & - \$ 100 \\\hline \begin{array} { l } \text { Present } \\\text { Value (If } \\\text { Negative) }\end{array} & - \$ 1,000 & & & - 375.66 & & - 62.09 \\\hline \text { Sum of PV } & - \$ 1,437.75 & & & & & \\\hline \begin{array} { l } \text { Future } \\\text { Value (If } \\\text { Positive) }\end{array} & & 439.23 & 1969.88 & & 330.00 & \\\hline \text { Sum of FV } & & & & & & \$ 2.739 .11 \\\hline \begin{array} { l } \text { Modified } \\\text { CFs }\end{array} & - \$ 1,437.75 & & & & & \$ 2.739 .11 \\\hline\end{array}

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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 discounted payback decision to evaluate this project; should it be accepted or rejected?  Time 0123456 Cash  Flow 85,000$12,000$11,000$13,000$21,000$31,000$32,000\begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \begin{array} { l } \text { Cash } \\\text { Flow }\end{array} & - 85,000 & \$ 12,000 & \$ 11,000 & \$ 13,000 & \$ 21,000 & \$ 31,000 & \$ 32,000 \\\hline\end{array}


A) Discounted payback = 4.29 years; accept the project
B) Discounted payback = 3.97 years; accept the project
C) Discounted payback > 4.5 years; reject the project
D) Discounted payback = 4.4 years; accept the project

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A project costs $101,000 today and is expected to generate cash flows of $31,000 per year for the next 15 years. At what rate is the NPV equal to zero?


A) 30.10 percent
B) 29.83 percent
C) 22.47 percent
D) 31.38 percent

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A

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


A) MIRR.
B) profitability index.
C) discounted payback.
D) NPV.

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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 statistics for the project are three and a half four and a half years, respectively. Use the payback decision to evaluate this project; should it be accepted or rejected?  Time 0123456 Cash  Flow $5,000$1,300$1,400$1,600$1,600$1,100$2,000\begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \begin{array} { l } \text { Cash } \\\text { Flow }\end{array} & - \$ 5,000 & \$ 1,300 & \$ 1,400 & \$ 1,600 & \$ 1,600 & \$ 1,100 & \$ 2,000 \\\hline\end{array}


A) Payback = 4.44 years; reject
B) Payback = 3.44 years; accept
C) Payback = 3.54 years; reject
D) Payback = 3.24 years; reject

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How many possible IRRs could you find for the following set of cash flows?  Time 01234 Cash Flow $201,000$37,350$460,180$217,020$5,000\begin{array} { | r | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 \\\hline \text { Cash Flow } & - \$ 201,000 & - \$ 37,350 & \$ 460,180 & \$ 217,020 & - \$ 5,000 \\\hline\end{array}


A) 1
B) 2
C) 3
D) 4

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B

Which of the following is a technique for evaluating capital projects that tells how long it will take a firm to earn back the money invested in a project plus interest at market rates?


A) Payback
B) Discounted payback
C) Net present value
D) Profitability index

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When choosing between two mutually exclusive projects using the payback period method for evaluating capital projects, one would choose:


A) either project if they both are more than managers' maximum payback period.
B) neither project if they both are less than managers' maximum payback period.
C) the project that pays back the soonest.
D) the project that pays back the soonest if it is equal to or less than managers' maximum payback period.

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All of the following capital budgeting tools are suitable for firms facing time constraints EXCEPT:


A) NPV.
B) payback.
C) discounted payback.
D) All of these answers are suitable for firms facing time constraints.

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Compute the MIRR statistic for Project I and note whether to accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 15 percent.Project I  Time 012345 Cash Flow $1,000$400$300$200$300$50\begin{array} { | r | l | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash Flow } & - \$ 1,000 & \$ 400 & \$ 300 & \$ 200 & \$ 300 & \$ 50 \\\hline\end{array}


A) The project's MIRR is 10.29 percent and the project should be rejected.
B) The project's MIRR is 12.67 percent and the project should be rejected.
C) The project's MIRR is 17.17 percent and the project should be accepted.
D) The project's MIRR is 18.19 percent and the project should be accepteD.  Year 012345 Cash Flow $1,000$400$300$200$300$50 Future  Value (If  Positive)  699.60456.26264.50345.00$50 Sum of FV $1,815.36 Modified  CFs $1,000$1,815.36\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Year } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Cash Flow } & - \$ 1,000 & \$ 400 & \$ 300 & \$ 200 & \$ 300 & \$ 50 \\\hline \begin{array} { l } \text { Future } \\\text { Value (If } \\\text { Positive) }\end{array} & & 699.60 & 456.26 & 264.50 & 345.00 & \$ 50 \\\hline \text { Sum of FV } & & & & & & \$ 1,815.36 \\\hline \begin{array} { l } \text { Modified } \\\text { CFs }\end{array} & - \$ 1,000 & & & & & \$ 1,815.36 \\\hline\end{array}

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Compute the NPV for Project X and accept or reject the project with the cash flows shown as follows if the appropriate cost of capital is 9 percent.  Time: 012345 Cash flow: 10007510010002000\begin{array} { l l l l l l l } \text { Time: } & 0 & 1 & 2 & 3 & 4 & 5 \\\text { Cash flow: } & - 1000 & - 75 & 100 & 100 & 0 & 2000\end{array}


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

Correct Answer

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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) payback.
D) NPV.

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Of the capital budgeting techniques discussed, which works equally well with normal and non-normal cash flows and with independent and mutually exclusive projects?


A) Payback period
B) Discounted payback period
C) Modified internal rate of return
D) Net present value

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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 10 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and a half and three and a half years, respectively.  Time 0123 Project A Cash Flow 1,000300400700 Project B Cash Flow 500200400300\begin{array} { l l l l l } \text { Time } & 0 & 1 & 2 & 3 \\\text { Project A Cash Flow } & - 1,000 & 300 & 400 & 700 \\\text { Project B Cash Flow } & - 500 & 200 & 400 & 300\end{array} Use the MIRR 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: 1000500480400300150\begin{array} { l l l l l l l } \text { Time: } & 0 & 1 & 2 & 3 & 4 & 5 \\\text { Cash flow: } & - 1000 & 500 & 480 & 400 & 300 & 150\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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The net present value decision technique may not be the only pertinent unit of measure if the firm is facing:


A) time or resource constraints.
B) a labor union.
C) the election of a new board of directors.
D) a major investment.

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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 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 0123456 Cash $5,000$1,200$1,400$1,600$1,600$1,100$2,000 Flow \begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Time } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Cash } & - \$ 5,000 & \$ 1,200 & \$ 1,400 & \$ 1,600 & \$ 1,600 & \$ 1,100 & \$ 2,000 \\\text { Flow } & & & & & & & \\\hline\end{array}


A) NPV = $1,766.55; accept the project
B) NPV = $892.19; accept the project
C) NPV = $1,288.94; accept the project
D) NPV = -$104.73; reject the project

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