A person has wealth of $500,000. In case of a flood her wealth will be reduced to $50,000. The probability of flooding is 1/10. The person can buy flood insurance at a cost of $0.10 for each $1 worth of coverage. Suppose that the satisfaction she derives from c dollars of wealth (or consumption) is given by u(c) = √c. Let CF denote the contingent commodity dollars if there is a flood (horizontal axis) and CNF denote the contingent commodity dollars if there is no flood (vertical axis).

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Problem 7.7P
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A person has wealth of $500,000. In case of a flood her wealth will be reduced to
$50,000. The probability of flooding is 1/10. The person can buy flood insurance at a
cost of $0.10 for each $1 worth of coverage. Suppose that the satisfaction she derives
from c dollars of wealth (or consumption) is given by u(c) = √c. Let CF denote the
contingent commodity dollars if there is a flood (horizontal axis) and CNF denote the
contingent commodity dollars if there is no flood (vertical axis).
(a) Determine the contingent consumption plan if she does not buy insurance.
(b) Determine the contingent consumption plan if she buys insurance $K.
(c) Use your answer in (b) to eliminate K and construct the budget constraint (BC)
that gives the feasible contingent consumption plans for different amounts of
insurance K. Determine the slope of budget line (both graphically and by forming
the price ratio).
Transcribed Image Text:A person has wealth of $500,000. In case of a flood her wealth will be reduced to $50,000. The probability of flooding is 1/10. The person can buy flood insurance at a cost of $0.10 for each $1 worth of coverage. Suppose that the satisfaction she derives from c dollars of wealth (or consumption) is given by u(c) = √c. Let CF denote the contingent commodity dollars if there is a flood (horizontal axis) and CNF denote the contingent commodity dollars if there is no flood (vertical axis). (a) Determine the contingent consumption plan if she does not buy insurance. (b) Determine the contingent consumption plan if she buys insurance $K. (c) Use your answer in (b) to eliminate K and construct the budget constraint (BC) that gives the feasible contingent consumption plans for different amounts of insurance K. Determine the slope of budget line (both graphically and by forming the price ratio).
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