Chez Paul is contemplating either opening another restaurant or
expanding its existing location. The payoff table for these two
decisions is:
s1 S2 s3
New Restaurant -$80K $20K $160K
Expand -$40K $20K $100K
Paul has calculated the indifference probability for the lottery
having a payoff of $160K with probability p and -$80K with probability
(1-p) as follows:
o the indifference probability for -$40,000 is 0.4
o the indifference probability for $20,000 is 0.7
o the indifference probability for $100,000 is 0.9
a. Is Paul a risk avoider, a risk taker, or risk neutral? EXPLAIN.
b. Suppose Paul has defined the utility of -$80K to be 0 and the
utility of $160K to be 80. What would be the utility values for -$40K,
$20K, and $100K based on the indifference probabilities?
c. Suppose P(s1) = .4, P(s2) = .3, and P(s3) = .3. Which decision
should Paul make using the expected utility approach?
d. Compare the result in part c with the decision using the expected value approach. |