Fitting prices with a complete model |
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| Institution: | 1. Department of Economics, Northern Illinois University, DeKalb, IL 60115, USA;2. Federal Reserve Board of Governors, 20th St. and Constitution Ave. NW, Washington, DC 20551, USA;1. Research and Methodology Directorate, U.S. Census Bureau, 4600 Silver Hill Road, Washington, DC 20233 United States;2. IDP, Zurich University of Applied Sciences, Rosenstrasse 8, 8401 Winterthur, Switzerland |
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| Abstract: | The aim of this paper is to introduce some methodologies for parameter estimation in Hobson and Rogers stochastic volatility model (1998). We pay a specific attention to the so-called feedback parameter, which is shown to be crucial for the model to fit correctly the smile curve of implied volatility and we introduce different procedures for the estimation of the volatility parameters. We finally test the pricing capability of the model on market options prices on the FTSE100 and the S&P500 Indexes, according to the estimation methodologies introduced. |
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