10-31 An energy efficiency project has a first cost of G $400,000, a life of 10 years, and no salvage value. Assume that the interest rate is 10%. The most likely value for annual savings is $50,000. The optimistic value for annual savings is $80,000 with a probabil- ity of 0.2. The pessimistic value is $40,000 with a probability of 0.25. (a) What is the expected annual savings and the expected PW? (b) Compute the PW for the pessimistic, most likely, and optimistic estimates of the annual savings. What is the expected PW? (c) Do the answers for the expected PW match? Why or why not?
10-31 An energy efficiency project has a first cost of G $400,000, a life of 10 years, and no salvage value. Assume that the interest rate is 10%. The most likely value for annual savings is $50,000. The optimistic value for annual savings is $80,000 with a probabil- ity of 0.2. The pessimistic value is $40,000 with a probability of 0.25. (a) What is the expected annual savings and the expected PW? (b) Compute the PW for the pessimistic, most likely, and optimistic estimates of the annual savings. What is the expected PW? (c) Do the answers for the expected PW match? Why or why not?
Chapter9: Capital Budgeting Techniques
Section: Chapter Questions
Problem 15PROB
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![10-31 An energy efficiency project has a first cost of
G $400,000, a life of 10 years, and no salvage value.
Assume that the interest rate is 10%. The most likely
value for annual savings is $50,000. The optimistic
value for annual savings is $80,000 with a probabil-
ity of 0.2. The pessimistic value is $40,000 with a
probability of 0.25.
(a) What is the expected annual savings and the
expected PW?
(b) Compute the PW for the pessimistic, most likely,
and optimistic estimates of the annual savings.
What is the expected PW?
(c) Do the answers for the expected PW match?
Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0968b0ef-e0b6-4040-8697-118642d00caa%2F59e802e7-8353-45d1-8c93-c6194d8d8a6f%2Fd1opyz6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10-31 An energy efficiency project has a first cost of
G $400,000, a life of 10 years, and no salvage value.
Assume that the interest rate is 10%. The most likely
value for annual savings is $50,000. The optimistic
value for annual savings is $80,000 with a probabil-
ity of 0.2. The pessimistic value is $40,000 with a
probability of 0.25.
(a) What is the expected annual savings and the
expected PW?
(b) Compute the PW for the pessimistic, most likely,
and optimistic estimates of the annual savings.
What is the expected PW?
(c) Do the answers for the expected PW match?
Why or why not?
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