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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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P3
![You are considering an investment project with
two-year life. Due to the
uncertainty in the market, three possible future
outcomes at end of Years 1 & 2, and their
probability of occurrence were determined in the
table below. Outcome 1 has an occurrence
probability equivalent to 25% (P(0.25)), outcome 2
with a probability of 45% (P(0.45)) and
outcome 3 with a probability of 30% (P(0.3)).
End of
Outcome 1
Outcome 2
Outcome 3
Expected value
P(F)
-8,000
Variance
year
P(0.25)
P(0.45)
P(0.3)
-8,000
-8,000
-8,000
1
3,000
7,000
15,000
21,240,000
2
6,000
10,000
13,000
9,900
a) Calculate the expected value at the end of year
1 and using an interest rate of 10%, compute the
expected NPW value of the project.
b) calculate the variance at year 0 and year 2
c) compute the variance of the Net Present Value
distribution and compute the standard deviation of
the project NPW distribution.
d) determine the probability for the investment to
have a positive NPW.
d)](https://content.bartleby.com/qna-images/question/d19ccf7d-b158-47bf-8870-3b82983ce245/5986b648-61d2-495c-ba2e-13ae88199a0d/kunir6_thumbnail.jpeg)
Transcribed Image Text:You are considering an investment project with
two-year life. Due to the
uncertainty in the market, three possible future
outcomes at end of Years 1 & 2, and their
probability of occurrence were determined in the
table below. Outcome 1 has an occurrence
probability equivalent to 25% (P(0.25)), outcome 2
with a probability of 45% (P(0.45)) and
outcome 3 with a probability of 30% (P(0.3)).
End of
Outcome 1
Outcome 2
Outcome 3
Expected value
P(F)
-8,000
Variance
year
P(0.25)
P(0.45)
P(0.3)
-8,000
-8,000
-8,000
1
3,000
7,000
15,000
21,240,000
2
6,000
10,000
13,000
9,900
a) Calculate the expected value at the end of year
1 and using an interest rate of 10%, compute the
expected NPW value of the project.
b) calculate the variance at year 0 and year 2
c) compute the variance of the Net Present Value
distribution and compute the standard deviation of
the project NPW distribution.
d) determine the probability for the investment to
have a positive NPW.
d)
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