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Estimation in the Constant Elasticity of Variance Model

Published online by Cambridge University Press:  10 June 2011

K.C. Yuen ,
H. Yang  and
K.L. Chu
K.C. Yuen
Affiliation:
Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong. Tel: +852-2859-1915; Fax: +852-2858-9041
K.L. Chu
Affiliation:
Department of Statistics and Actuarial Science, University of Hong Kong, Pokfulam Road, Hong Kong. Tel: +852-2859-1915; Fax: +852-2858-9041
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Abstract

The constant elasticity of variance (CEV) diffusion process can be used to model heteroscedasticity in returns of common stocks. In this diffusion process, the volatility is a function of the stock price and involves two parameters. Similar to the Black-Scholes analysis, the equilibrium price of a call option can be obtained for the CEV model. The purpose of this paper is to propose a new estimation procedure for the CEV model. A merit of our method is that no constraints are imposed on the elasticity parameter of the model. In addition, frequent adjustments of the parameter estimates are not required. Simulation studies indicate that the proposed method is suitable for practical use. As an illustration, real examples on the Hong Kong stock option market are carried out. Various aspects of the method are also discussed.

Keywords

Constant Elasticity of VarianceDiffusion ProcessLeast SquaresOption PricingVolatility
Type
Sessional meetings: papers and abstracts of discussions
Information
British Actuarial Journal , Volume 7 , Issue 2 , 01 June 2001 , pp. 275 - 292
Copyright
Copyright © Institute and Faculty of Actuaries 2001

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