5. Larry, who has wealth (w) of 100, faces a 25% probability that a catastrophe will eliminate all of his wealth. Larry's utility function is u(w) = In (w + 1). We will cover insurance on 12/2 in case you want to hold off on parts (b) and (d) until then. Characterize Larry's preference over risk. Is he risk-averse, risk-loving, or risk-neutral? a. Explain. b. What is the highest premium that Larry would accept for full insurance? c. Alternatively, suppose that Larry's utility is u(w) = ew. Characterize his preference for risk and explain your answer.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter19: The Basic Tools Of Finance
Section: Chapter Questions
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5. Larry, who has wealth (w) of 100, faces a 25% probability that a catastrophe will eliminate all of his
wealth. Larry's utility function is u(w) = In (w + 1). We will cover insurance on 12/2 in case you want
to hold off on parts (b) and (d) until then.
Characterize Larry's preference over risk. Is he risk-averse, risk-loving, or risk-neutral?
а.
Explain.
b. What is the highest premium that Larry would accept for full insurance?
C.
Alternatively, suppose that Larry's utility is u (w) = e". Characterize his preference for risk
and explain your answer.
d.
Under this alternative utility function, what is the highest premium that Larry would accept for
full insurance? Explain.
Transcribed Image Text:5. Larry, who has wealth (w) of 100, faces a 25% probability that a catastrophe will eliminate all of his wealth. Larry's utility function is u(w) = In (w + 1). We will cover insurance on 12/2 in case you want to hold off on parts (b) and (d) until then. Characterize Larry's preference over risk. Is he risk-averse, risk-loving, or risk-neutral? а. Explain. b. What is the highest premium that Larry would accept for full insurance? C. Alternatively, suppose that Larry's utility is u (w) = e". Characterize his preference for risk and explain your answer. d. Under this alternative utility function, what is the highest premium that Larry would accept for full insurance? Explain.
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