You are pondering whether to buy insurance for your new car. The car is worth $50,000. Apart from that, your wealth sums up to $40,000. Your utility takes the form u(w) = √w. There is 0.5% chance that your car will be stolen. With the insurance in place, you will get fully reimbursed if this tragedy happens. (a) If the insurance premium is $400, would you buy the insurance? (b) What is the largest premium you are willing to pay for the car insurance? (c) If your utility is instead given by u(w) = log(w), how does your answer to part (2) change?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
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4. Insurance
You are pondering whether to buy insurance for your new car. The car is worth $50,000. Apart from
that, your wealth sums up $40,000. Your utility takes the form u(w) = √w. There is 0.5% chance
that your car will be stolen. With the insurance in place, you will get fully reimbursed if this tragedy
happens.
(a) If the insurance premium is $400, would you buy the insurance?
(b) What is the largest premium you are willing to pay for the car insurance?
(c) If your utility is instead given by u(w) = log(w), how does your answer to part (2) change?
Transcribed Image Text:4. Insurance You are pondering whether to buy insurance for your new car. The car is worth $50,000. Apart from that, your wealth sums up $40,000. Your utility takes the form u(w) = √w. There is 0.5% chance that your car will be stolen. With the insurance in place, you will get fully reimbursed if this tragedy happens. (a) If the insurance premium is $400, would you buy the insurance? (b) What is the largest premium you are willing to pay for the car insurance? (c) If your utility is instead given by u(w) = log(w), how does your answer to part (2) change?
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