My current wealth is $1000 and I have exponential utility with a=0.001. There is a 4% chance that my basement will start leaking next week, in which case I will have to spend $400 to fix the problem. I am offered an insurance contract that costs c today, and will pay for any future repairs in the event it does start leaking. (a) What is my utility if I do not purchase the insurance and my roof does not leak? u(1000) v utiles. (b) What is my utility if I do not purchase the insurance and my roof does leak? u(600) v utiles. (c) What is my utility if I purchase the insurance? u(1000-c) utiles.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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My current wealth is $1000 and I have exponential utility with a=0.001. There is a 4% chance that my basement will start leaking next week, in which case I will have to spend $400 to fix
the problem. I am offered an insurance contract that costs c today, and will pay for any future repairs in the event it does start leaking.
(a) What is my utility if I do not purchase the insurance and my roof does not leak?
u(1000)
v utiles.
(b) What is my utility if I do not purchase the insurance and my roof does leak?
u(600)
v utiles.
(c) What is my utility if I purchase the insurance?
u(1000-c) v utiles.
(d) Should I purchase the insurance if c = 9.74?
yes v
(e) What is the maximum price that I should be willing to pay for the insurance? Please round your answer to the nearest cent.
Maximum Price = $
Transcribed Image Text:My current wealth is $1000 and I have exponential utility with a=0.001. There is a 4% chance that my basement will start leaking next week, in which case I will have to spend $400 to fix the problem. I am offered an insurance contract that costs c today, and will pay for any future repairs in the event it does start leaking. (a) What is my utility if I do not purchase the insurance and my roof does not leak? u(1000) v utiles. (b) What is my utility if I do not purchase the insurance and my roof does leak? u(600) v utiles. (c) What is my utility if I purchase the insurance? u(1000-c) v utiles. (d) Should I purchase the insurance if c = 9.74? yes v (e) What is the maximum price that I should be willing to pay for the insurance? Please round your answer to the nearest cent. Maximum Price = $
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