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1 . Suppose you face a gamble such that you can win $ Y with 50% chance, or lose $ Y /2 with 50% chance.

1 .Suppose you face a gamble such that you can win $Y with 50% chance, or lose $Y/2 with 50% chance. You assessed that the maximum acceptable Y is $1,000. You are a risk-averse behavior and your preference can be modeled with an exponential utility function. What is the utility function after affine transformation, so that U($100) = 0 and U($5,000) = 1?

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