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7 Dec 2018

1,

Suppose Mary can have good health with probability 0.95 and bad health with probability 0.05. If Mary has a good health her wealth will be $90,000, if she has bad health her wealth will be $10,000 (after paying the health bill). Suppose that the utility of wealth comes from the following utility function: U(W)=W^0.5 Note: When the question is about utilities, report the answer with one decimal. When the question is about money, report integers (without comas for thousands). In both cases, round appropriately.

Find the maximum premium she is willing to pay for full insurance.

2,

Suppose Mary can have good health with probability 0.95 and bad health with probability 0.05. If Mary has a good health her wealth will be $90,000, if she has bad health her wealth will be $10,000 (after paying the health bill). Suppose that the utility of wealth comes from the following utility function: U(W)=W^0.5
Note: When the question is about utilities, report the answer with one decimal. When the question is about money, report integers (without comas for thousands). In both cases, round appropriately.

Find her expected utility if she paid the fair premium and has full insurance.

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Irving Heathcote
Irving HeathcoteLv2
7 Dec 2018
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