The elasticity of variance of risky assets has been observed to be rapidly fluctuating around a level. The level itself slowly varies depending upon the corresponding economic situation at the time of consideration. In particular, it turns out to be extraordinary during the peak period of the 2007-2009 Global Financial Crisis. Based on the concept of stochastic elasticity of variance, this paper develops an asset price model in a multiscale form and applies it to the pricing of European options and verifies a significant improvement over the constant elasticity of variance model in terms of the geometric structure (skew or smirk) of implied volatility. Our result implies that a theoretical model based on the random elasticity can derive market's volatility forecast more accurately than the constant elasticity so that investors can employ a dynamic investment strategy reducing risk more effectively.
Bibliographical noteFunding Information:
The research of J.-H. Kim was supported by the National Research Foundation of Korea NRF-2013R1A1A2A10006693 and the research of S.-Y. Choi was supported by POSTECH Math BK21 Plus Organization .
© 2015 Elsevier B.V.
All Science Journal Classification (ASJC) codes
- Economics and Econometrics