3. Suppose you're a professional athlete and you're expecting to eam M2 this year. However, if you get injured, you will eam M1 instead. The probability of getting injured is na, and the cost of $1 insured is y. Your consumption will be Cl if there is an accident and C2 if there is no accident. Your utility function is U(c,,c) = , In(c,) + Amg In (c2). a) Determine your optimal Cl and C2. b) Suppose the probability of you having an accident is 6%, the cost of $1 insured is 0.09. Also, M2 is $200,000, and MI is 120,000. What are the optimal Cl and C2? Is this ful" insurance?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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3. Suppose you're a professional athlete and you're expecting to earm M2 this year. However,
if you get injured, you will earn M1 instead. The probability of getting injured is na, and
the cost of $1 insured is y. Your consumption will be Cl if there is an accident and C2 if
there is no accident. Your utility function is U(c,, c2) = Ta In(c,) + maIn (c2).
a) Determine your optimal Cl and C2.
b) Suppose the probability of you having an accident is 6%, the cost of $1 insured is 0.09.
Also, M2 is $200,000, and MI is 120,000. What are the optimal C1 and C2? Is this full
insurance?
help with A and B
Transcribed Image Text:3. Suppose you're a professional athlete and you're expecting to earm M2 this year. However, if you get injured, you will earn M1 instead. The probability of getting injured is na, and the cost of $1 insured is y. Your consumption will be Cl if there is an accident and C2 if there is no accident. Your utility function is U(c,, c2) = Ta In(c,) + maIn (c2). a) Determine your optimal Cl and C2. b) Suppose the probability of you having an accident is 6%, the cost of $1 insured is 0.09. Also, M2 is $200,000, and MI is 120,000. What are the optimal C1 and C2? Is this full insurance? help with A and B
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