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An investor has a quadratic utility function: ()=105 2 . Her income is uncertain and will be either $40,000 with 75% or $30,000 with 25%.

An investor has a quadratic utility function: ()=105 2 . Her income is uncertain and will be either $40,000 with 75% or $30,000 with 25%. a) Determine the minimum level of a fixed income that makes her indifferent from the uncertain income. b) Which of the following statement is true for a risk-averse individual? Prove your answer. (i) Decreasing relative risk aversion implies decreasing absolute risk aversion. (ii) Decreasing absolute risk aversion implies decreasing relative risk aversion

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