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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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