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Suppose That Initially an Individual Owns $4 and a Lottery

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Suppose that initially an individual owns $4 and a lottery ticket. The lottery ticket will be worth $12 with probability 1/2 and worth $0 with probability 1/2. The individual's VM utility function is u(w)= w1/2 where w is wealth. What is the lowest price at which the individual would be willing to sell the lottery ticket?

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