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If a patient has a probability of being sick of 0.1 and a probability of being...

If a patient has a probability of being sick of 0.1 and a probability of being healthy of 0.9. If the person has a good health her wealth will be $100, if she has bad health her wealth will be $64. Suppose that the utility of wealth come from the following utility function: U(W)=W^0.5.

The fair premium if she is full insured is?

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Answer #1

Fair premium is the expected cost which an insurance company has to pay them

in case of good health company need not pay anything

whereas in case of bad health company pays $36.

Thus expected premium=0.9(0)+0.1(36)=3.6

Fair premium=3.6

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