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Problem: 10.1 Consider the following probability distribution of returns estimated for a proposed project that involves a new ultrasound machine: State of the Economy Probability
Problem: | 10.1 | ||||||||||
Consider the following probability distribution of returns estimated for a proposed project that involves a new ultrasound machine: | |||||||||||
State of the Economy | Probability of Occurrence | Rate of Return | |||||||||
Very Poor | 0.1 | -10.00% | |||||||||
Poor | 0.2 | 0.00% | |||||||||
Average | 0.4 | 10.00% | |||||||||
Good | 0.2 | 20.00% | |||||||||
Very Good | 0.1 | 30.00% | |||||||||
a) What is the expected rate of return on the project? | |||||||||||
E( R ) = [w1*E( R)] + [w2*E( R)] + [w3*E( R)] + [w4*E( R)] + [w5*E( R)] | |||||||||||
E( R ) = | ____% | 10% | |||||||||
b) What is the project's standard deviation of returns? | |||||||||||
Variance= | (Probability of return 1 * [Rate of Return 1 - Expected Rate of Return]^2)+ | ||||||||||
(Probability of return 2 * [Rate of Return 2 - Expected Rate of Return]^2)+ | |||||||||||
(Probability of return 3 * [Rate of Return 3 - Expected Rate of Return]^2)+ | |||||||||||
(Probability of return 4 * [Rate of Return 4 - Expected Rate of Return]^2)+ | |||||||||||
(Probability of return 5 * [Rate of Return 5 - Expected Rate of Return]^2) | |||||||||||
Variance= | |||||||||||
Standard Deviation= | Square Root of the Variance | ||||||||||
Standard Deviation= | % | ||||||||||
CV = | Standard deviation/expected rate or return | ||||||||||
CV = | |||||||||||
c) In what situation is this risk relevant? | |||||||||||
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