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Suppose a risk-averse consumer faces an uncertain lossLwith probability. They have the option to buy insuranceQLat the price of premiumP. (a)Write the consumer's expected utility

Suppose a risk-averse consumer faces an uncertain lossLwith probability. They have the option to buy insuranceQLat the price of premiumP.

(a)Write the consumer's expected utility function if they start with wealthW.

(b)Show that the consumer will always buy full insurance (Q=L) if it is priced at the actuarially

fair level (P=L).

(c)Solve for the FOC whenis a function ofQwith(Q)>0

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