Isoelastic Utility - Risk Aversion Features

Risk Aversion Features

This and only this utility function has the feature of constant relative risk aversion. Mathematically this means that is a constant, specifically . In theoretical models this often has the implication that decision-making is unaffected by scale. For instance, in the standard model of one risk-free asset and one risky asset, under constant relative risk aversion the fraction of wealth optimally placed in the risky asset is independent of the level of initial wealth.

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