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Quantitative Finance · शब्दावली

Utility function, relative risk aversion, CRRA utility क्या है?

अन्य नाम: utility function · relative risk aversion · CRRA utility

Definition 9.6 Quantitative Methods · अध्याय 9 — Stochastic Control

A utility function UU is increasing and concave; the investor maximises E[U(WT)]\E[U(W_T)]. Its relative risk aversion is −wU′′(w)/U′(w)-wU^{\prime\prime}(w)/U'(w). CRRA utility has constant relative risk aversion γ>0\gamma > 0: U(w)=w1−γ/(1−γ)U(w) = w^{1-\gamma}/(1 - \gamma), and ln⁡w\ln w for γ=1\gamma = 1.

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