Question: An independent electronics store is contemplating either opening another store or expanding its existing location. The payoff table for these two decisions is: s1 s2

An independent electronics store is contemplating either opening another store or expanding its existing location. The payoff table for these two decisions is:

s1 s2 s3
New Store -$60,000 $15,000 $180,000
Expand -$30,000 $15,000 $90,000

Peter, the owner of the store, has calculated the indifference probability for the lottery having a payoff of $180,000 with probabilityp and -$60,000 with probability (1-p) with the following sure amounts as follows:

Amount Indifference Probability (p)
-$30,000 0.4
$15,000 0.7
$90,000 0.9

  1. Suppose Peter has defined the utility of -$60,000 to be 0 and the utility of $180,000 to be 100. What would be the utility values for -$30,000, $15,000, and $90,000 based on the indifference probabilities?

2. SupposeP(s1) = .4,P(s2) = .3, andP(s3) = .3. Which decision should Peter make? Compare with the decision using the expected value approach. Is Peter a risk taker or is he risk averse?

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