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Bob Has an Initial Wealth of $1200 but Faces a 50

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Bob has an initial wealth of $1200 but faces a 50% chance of losing $800 to doctors' bills in the coming year.Insurance is available at a rate of 60¢ per $1 of coverage.This means that if Bob purchases $X in coverage,it costs 6X¢ and pays $X towards Bob's doctors' bills.If Bob's utility function is U(w)= 2 Bob has an initial wealth of $1200 but faces a 50% chance of losing $800 to doctors' bills in the coming year.Insurance is available at a rate of 60¢ per $1 of coverage.This means that if Bob purchases $X in coverage,it costs 6X¢ and pays $X towards Bob's doctors' bills.If Bob's utility function is U(w)= 2 ,how much insurance (X)will Bob purchase?
,how much insurance (X)will Bob purchase?

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We can write out Bob's expected utility ...

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