a. Calculate the expected NPV for both projects. Can the question be resolved with this information alone? b. Calculate the variance and standard deviation of the NPVS for both projects. Which project appears to be riskier? c. Calculate the coefficient of variation for both projects. Does this change your opinion from part b? d. Calculate the probability of a negative NPV for both projects. e. Which project should be accepted? Why?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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1. Lemon, a scooter rental company, is currently evaluating two mutually exclusive
investments. After doing a scenario analysis and applying probabilities to each
scenario, it has determined that the investments have the following distributions
around the expected NPVS.
Probability
NPVA
NPV,
10%
-$59,670
-$2,377
20%
-14,918
3,729
40%
29,835
29,835
20%
74,588
55,941
10%
119,340
82,047
Several members of the management team have suggested that Project A should
be selected because it has a higher potential NPV. Other members have suggested
that Project B appears to be more conservative and should be selected. They have
asked you to resolve this question.
a. Calculate the expected NPV for both projects. Can the question be resolved
with this information alone?
b. Calculate the variance and standard deviation of the NPVS for both projects.
Which project appears to be riskier?
c. Calculate the coefficient of variation for both projects. Does this change your
opinion from part b?
d. Calculate the probability of a negative NPV for both projects.
e. Which project should be accepted? Why?
Transcribed Image Text:1. Lemon, a scooter rental company, is currently evaluating two mutually exclusive investments. After doing a scenario analysis and applying probabilities to each scenario, it has determined that the investments have the following distributions around the expected NPVS. Probability NPVA NPV, 10% -$59,670 -$2,377 20% -14,918 3,729 40% 29,835 29,835 20% 74,588 55,941 10% 119,340 82,047 Several members of the management team have suggested that Project A should be selected because it has a higher potential NPV. Other members have suggested that Project B appears to be more conservative and should be selected. They have asked you to resolve this question. a. Calculate the expected NPV for both projects. Can the question be resolved with this information alone? b. Calculate the variance and standard deviation of the NPVS for both projects. Which project appears to be riskier? c. Calculate the coefficient of variation for both projects. Does this change your opinion from part b? d. Calculate the probability of a negative NPV for both projects. e. Which project should be accepted? Why?
А
В
1
Lemon Scooters
Probability
NPVA
NPV3
(59,670)
(14,918)
(22,377)
3,729
3
10%
4
20%
40%
29,835
29,835
6
20%
74,588
55,941
7
10%
119,340
82,047
8 Expected NPV
9 Variance
10 Standard Deviation
11 Coefficient of Variation
12 Prob(NPV <= 0)
13
14
15 Calculations Using Arrays
16 Expected NPV
17 Variance
18 Standard Deviation
10
2.
Transcribed Image Text:А В 1 Lemon Scooters Probability NPVA NPV3 (59,670) (14,918) (22,377) 3,729 3 10% 4 20% 40% 29,835 29,835 6 20% 74,588 55,941 7 10% 119,340 82,047 8 Expected NPV 9 Variance 10 Standard Deviation 11 Coefficient of Variation 12 Prob(NPV <= 0) 13 14 15 Calculations Using Arrays 16 Expected NPV 17 Variance 18 Standard Deviation 10 2.
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