In economics, an index of absolute risk aversion is defined as where M measures how much of

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In economics, an index of absolute risk aversion is defined as

where M measures how much of a commodity is owned and U(M) is a utility function, which measures the ability of quantity M of a commodity to satisfy a consumer’s wants. Find I(M) for U(M) = √M and for U(M) = M2/3, and determine which indicates a greater aversion to risk.

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