Question: Question #2. (30 marks) Consider a risky project x that has the following payoff and probability distribution table: Payoff $1 $4 $16 Probability 0.5 0.2
Question #2.
(30 marks)
Consider a risky project x that has the following payoff and probability distribution table:
| Payoff | $1 | $4 | $16 |
| Probability | 0.5 | 0.2 | 0.3 |
a.
Compute the expected value, EV, of project x. (3 marks)
b.
Suppose an investor, Mrs. Donna Nash, has a utility function given by the function
+20
Compute CE, the certainty equivalence, of x for our investor. (8marks)
Is Mrs. Nash risk-neutral, risk-averse, or risk-loving? Explain (2marks)
c.
Suppose another investor, Mr. John Nash, has a utility function given by the function
Compute CE, the certainty equivalence, of x for our investor. (7marks)
Is Mr. Nash risk-neutral, risk-averse, or risk-loving? Explain (2marks)
d.
Suppose their son, Joe Nash, has a utility function given by the function
Compute CE, the certainty equivalence, of x for our investor. (6marks)
Is Joe Nash risk-neutral, risk-averse, or risk-loving? Explain (2marks)
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