Sarah's current disposable income is £90,000. Suppose there's a 1% chance that Sarah's house may be flooded, and if it is, the cost of repairing it will be £80,000, reducing her disposable income to £10,000. Suppose also that her utility function of income M is: U = VM (a)Calculate Sarah's expected income and expected utility given the risk of flooding. (b)For her to take an insurance that fully insures her in the event of house flooding, Sarah would have to pay a price for such an insurance, which would reduce her disposable income. What would be the minimum certain disposable income required for Sarah to take an insurance that fully insures her in the event of house flooding? Explain your answer.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
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3. Sarah's current disposable income is £90,000. Suppose there's a
1% chance that Sarah's house may be flooded, and if it is, the cost
of repairing it will be £80,000, reducing her disposable income to
£10,000. Suppose also that her utility function of income M is:
U = VM
(a)Calculate Sarah's expected income and expected utility given
the risk of flooding.
(b)For her to take an insurance that fully insures her in the event
of house flooding, Sarah would have to pay a price for such an
insurance, which would reduce her disposable income. What
would be the minimum certain disposable income required for
Sarah to take an insurance that fully insures her in the event of
house flooding? Explain your answer.
Transcribed Image Text:3. Sarah's current disposable income is £90,000. Suppose there's a 1% chance that Sarah's house may be flooded, and if it is, the cost of repairing it will be £80,000, reducing her disposable income to £10,000. Suppose also that her utility function of income M is: U = VM (a)Calculate Sarah's expected income and expected utility given the risk of flooding. (b)For her to take an insurance that fully insures her in the event of house flooding, Sarah would have to pay a price for such an insurance, which would reduce her disposable income. What would be the minimum certain disposable income required for Sarah to take an insurance that fully insures her in the event of house flooding? Explain your answer.
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