Question: An investor with utility function U(x)- In(x), where x is total wealth, has a choice between the following two alternatives: A: Win $10,000 with a
An investor with utility function U(x)- In(x), where x is total wealth, has a choice between the following two alternatives:
A: Win $10,000 with a probability of 0.2 or win $1,000 with a probability of 0.8
B: Win $3,000 with a probability of 0.9 or lose $2,000 with a probability of 0.1
a. If the investor currently has $2,500, should they choose A or B?
b. Find the exact Certainty Equivalent for the alternative A and its risk premium.
c. Repeat a, assuming the investor has $5,000.
d. Do you think that this pattern of choices between A and B is reasonable? Why or why not?
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