Question 5 Millicent's utility function is U(w) producing firm that will be worth GH100 or 0 Ghana cedis next year with equal probability. W0.5, where W is her wealth. She owns a “pure water" %3D a. Suppose her firm is the only asset she has. What is the lowest price at which she will agree to sell her bakery? (Hint: price=amount that will give her the same expected utility) b. Assume that she has GH200 safely stored under her mattress, find the new lowest price at which she will agree to sell her "pure water" producing firm c. From your answers in parts (a) and (b), what is the relationship between her wealth and her degree of risk aversion?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.6P
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Question 5
Millicent's utility function is U (w)
producing firm that will be worth GH100 or 0 Ghana cedis next year with equal probability.
W0.5, where W is her wealth. She owns a “pure water"
a. Suppose her firm is the only asset she has. What is the lowest price at which she will agree
to sell her bakery? (Hint: price=amount that will give her the same expected utility)
b. Assume that she has GH200 safely stored under her mattress, find the new lowest price at
which she will agree to sell her "pure water" producing firm
c. From your answers in parts (a) and (b), what is the relationship between her wealth and her
degree of risk aversion?
Transcribed Image Text:Question 5 Millicent's utility function is U (w) producing firm that will be worth GH100 or 0 Ghana cedis next year with equal probability. W0.5, where W is her wealth. She owns a “pure water" a. Suppose her firm is the only asset she has. What is the lowest price at which she will agree to sell her bakery? (Hint: price=amount that will give her the same expected utility) b. Assume that she has GH200 safely stored under her mattress, find the new lowest price at which she will agree to sell her "pure water" producing firm c. From your answers in parts (a) and (b), what is the relationship between her wealth and her degree of risk aversion?
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