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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