2. Alice believes that her car would cost £12500 to replace if it was stolen or damaged. Based on crime statistics for the area she lives in, she believes that the probability of her car being stolen or damaged is 0.15. (i) Alice's utility function is given by U(w) = ln(w) for w> 0 and she as £35000 in the bank. Calculate how much Alice would be prepared to pay (in a single payment) to insure her car against theft or damage (ii) Repeat the calculation in the previous part but now assume Alice has £500000 in the bank.

Microeconomic Theory
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ISBN:9781337517942
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
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2. Alice believes that her car would cost £12500 to replace if it was stolen or damaged.
Based on crime statistics for the area she lives in, she believes that the probability of
her car being stolen or damaged is 0.15.
(i) Alice's utility function is given by U(w) = ln(w) for w > 0 and she as £35000 in the
bank. Calculate how much Alice would be prepared to pay (in a single payment)
to insure her car against theft or damage
(ii) Repeat the calculation in the previous part but now assume Alice has £500000 in
the bank.
Transcribed Image Text:2. Alice believes that her car would cost £12500 to replace if it was stolen or damaged. Based on crime statistics for the area she lives in, she believes that the probability of her car being stolen or damaged is 0.15. (i) Alice's utility function is given by U(w) = ln(w) for w > 0 and she as £35000 in the bank. Calculate how much Alice would be prepared to pay (in a single payment) to insure her car against theft or damage (ii) Repeat the calculation in the previous part but now assume Alice has £500000 in the bank.
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