In:
Stochastics and Dynamics, World Scientific Pub Co Pte Ltd, Vol. 14, No. 03 ( 2014-09), p. 1350024-
Abstract:
Based on the observation that the elasticity of variance of risky assets is randomly varying around a constant, we take an underlying asset model in which the averaged constant elasticity of variance is perturbed by a small fast fluctuating process and study the Merton type portfolio optimization problem using dynamic programming as well as asymptotic expansions. The Hamilton–Jacobi–Bellman equation for each of the power and exponential utility functions leads to an optimal trading strategy as a perturbation around the well known one. We reveal the impact of both the constant elasticity of variance upon the Merton investment optimal control under the Black–Scholes model and the stochastic elasticity of variance upon the investment optimal control under the constant elasticity of variance model. The concavity of the investment policy with respect to the excess return is characteristic of a market economy with the constant or stochastic elasticity of variance.
Type of Medium:
Online Resource
ISSN:
0219-4937
,
1793-6799
DOI:
10.1142/S021949371350024X
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2014
SSG:
11
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