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[QUESTION] [Problem 14.2]
Smith, Jones, and Nguyen, Inc., is faced with several possible investment projects. For each, the
total cash outflow required will occur in the initial period. The cash outflows, expected net
present values, and standard deviations are given in the following table. All projects have been
discounted at the risk-free rate, and it is assumed that the distributions of their possible net
present values are normal.
a. Are there some projects that are clearly dominated by others with respect to expected value
and standard deviation? With respect to expected value and coefficient of variation?
b. What is the probability that each of the projects will have a net present value less than zero?
[ANSWER]
Project
E(NPV)
σNPV
CVNPV
A
$10,000
$20,000
2.00
B
10,000
30,000
3.00
C
25,000
10,000
0.40
D
5,000
10,000
2.00
E
75,000
75,000
1.00
On the basis of E(NPV) and standard deviation of NPV, ...
-
C dominates A, B, and D;
-
A dominates B and D; and
-
E neither dominates nor is dominated by any project.
On the basis of E(NPV) and coefficient of variation of NPV, ...
-
C dominates A, B, and D;
-
E dominates A, B, and D; and
-
A dominates B and D.
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Related Questions
Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 14 percent, and that the maximum allowable payback and discounted payback statistic for the project are 2 and 3 years, respectively. Time 0 1 2 3 4 5 6 Cash Flow −1,010 110 490 690 690 290 690 Use the payback decision rule to evaluate this project; should it be accepted or rejected? Multiple Choice
4.00 years, reject
0 years, accept
2.59 years, reject
1.16 years, accept
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Time
0
1
2
3
4
5
6
Cash Flow
-1,150
30
570
770
770
370
770
Use the NPV decision rule to evaluate this project; should it be accepted or rejected?
Multiple Choice
A. $968.66, accept
B. $2,118.66, accept
C. $-495.13, reject
D. $864.87, accept
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15.
Which of the following statements is CORRECT? Assume that the project being considered has normal cash flows, with one outflow followed by a series of inflows
Group of answer choices
The lower the WACC used to calculate it, the lower the calculated NPV will be.
If a project's NPV is less than zero, then its IRR must be less than the WACC.
The NPV of a relatively low-risk project should be found using a relatively high WACC.
A project's NPV is found by compounding the cash inflows at the IRR to find the terminal value (TV), then discounting the TV at the WACC.
If a project's NPV is greater than zero, then its IRR must be less than zero.
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Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 13 percent, and that the maximum allowable payback and discounted payback statistic for the project are 2 and 3 years, respectively.
Time
0
1
2
3
4
5
6
Cash Flow
-1,110
70
530
730
730
330
730
Use the payback decision rule to evaluate this project; should it be accepted or rejected?
Multiple Choice
A. 1.10 years, accept
B. 4.00 years, reject
C. 2.70 years, reject
D. 0 years, accept
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Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
Cash Flow Today ($ millions)
Project
A
-6
B
с
2
25
L
Cash Flow in One Year ($ millions)
22
5
- 8
<
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b. Should the project be accepted? Y/N
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b. What is the certainty-equivalent cash flow in year 1 and year 2?
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a whole percent.)
d. If project's beta is 1.50, should the project be accepted?
a.
Required rate of return
%
b.
Accept the project
с.
Required rate of return
d.
Accept the project
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are shown here:
Project
Cash Flow Today ($)
Cash Flow in One Year ($)
A
-10
20
В
20
-10
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a. What is the NPV of each project?
b. If the firm can choose only one of these projects, which should it choose?
c. If the firm can choose any two of these projects, which should it choose?
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48. 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 WACC to find the present value (PV), then discounting the TV to find the IRR.
b. If a project's IRR is smaller than the WACC, then its NPV will be positive.
c. If a project's IRR is positive, then its NPV must also be positive.
d. A project's IRR is the discount rate that causes the PV of the inflows to equal the project's cost.
e. A project's regular IRR is found by compounding the initial cost at the WACC to find the terminal value (TV), then discounting the TV at the WACC.
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Select one:
a.
The lower the WACC used to calculate it, the lower the calculated NPV will be.
b.
If a project's NPV is greater than zero, then its IRR must be less than zero.
c.
The NPV of a relatively low-risk project should be found using a relatively high WACC.
d.
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 WACC.
e.
If a project's NPV is less than zero, then its IRR must be less than the WACC.
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Ehrmann Data Systems is considering a project that has the following cash flow and WACC data. What is
the project's MIRR? Note that a project's projected MIRR can be less than the WACC (and even negative),
in which case it will be rejected.
)
WACC:
Year
Cash flows
a. 21.67%
O b. 18.17%
c. 22.69%
d. 28.23%
e. 27.23%
11.50%
0
-$1,000
1
$550
2
$550
3
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A project's internal rate of return (IRR) is the discount rate
YTM
on a bond. The equation for calculating the IRR is:
timing
Project A
Project B
0
1
2
CFt is the expected cash flow in Period t and cash outflows are treated as negative cash flows. There must be a change in cash flow signs to calculate the IRR. The IRR equation is simply the NPV
equation solved for the particular discount rate that causes NPV to equal zero
320
255
The IRR calculation assumes that cash flows are reinvested at the IRR
If the IRR is greater
✔than the project's risk-adjusted cost of capital, then the project should be accepted;
however, if the IRR is less than the project's risk-adjusted cost of capital, then the project should be rejected ✓✓✓. Because of the IRR reinvestment rate assumption, when
mutually exclusive
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✔ differences (earlier cash flows in…
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Item
Rate of return
Beta, b
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0.00
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14%
1.00
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