Regime Switching Stochastic Volatility with Perturbation Based Option Pricing
AbstractVolatility modelling has become a significant area of research within Financial Mathematics. Wiener process driven stochastic volatility models have become popular due their consistency with theoretical arguments and empirical observations. However such models lack the ability to take into account long term and fundamental economic factors e.g. credit crunch. Regime switching models with mean reverting stochastic volatility are a new class of stochastic volatility models that capture both short and long term characteristics. We propose a new general method of pricing options for these new class of stochastic volatility models using Fouque's perturbation based option pricing method. Using empirical data, we compare our option pricing method to Black-Scholes and Fouque's standard option pricing method and show that our pricing method provides lower relative error compared to the other two methods.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0904.1756.
Date of creation: Apr 2009
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
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