TheCEVModel and Its Application in a Study of Optimal Investment Strategy

Author:

Wang Aiyin12,Yong Ls1,Wang Yang1,Luo Xuanjun1

Affiliation:

1. The School of Finance, Southwestern University of Finance and Economics, Chengdu 610074, China

2. Department of Mathematics, Xinjiang University of Finance and Economics, Urumqi 830012, China

Abstract

The constant elasticity of variance (CEV) model is used to describe the price of the risky asset. Maximizing the expected utility relating to the Hamilton-Jacobi-Bellman (HJB) equation which describes the optimal investment strategies, we obtain a partial differential equation. Applying the Legendre transform, we transform the equation into a dual problem and obtain an approximation solution and an optimal investment strategies for the exponential utility function.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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