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Sensitivity analysis and Density Estimation for the Hobson-Rogers Stochastic Volatility Model.

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journal contribution
posted on 16.09.2009, 14:20 by Reiichiro Kawai
Monte Carlo estimators of sensitivity indices and the marginal density of the price dynamics are derived for the Hobson-Rogers stochastic volatility model. Our approach is based mainly upon the Kolmogorov backward equation by making full use of the Markovian property of the dynamics given the past information. Some numerical examples are presented with a GARCH-like volatility function and its extension to illustrate the effectiveness of our formulae together with a clear exhibition of the skewness and the heavy tails of the price dynamics.

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Citation

International Journal of Theoretical and Applied Finance, 2009, 12 (3), pp. 283-295.

Published in

International Journal of Theoretical and Applied Finance

Publisher

World Scientific Publishing

issn

0219-0249

Copyright date

2009

Available date

16/09/2009

Publisher version

http://www.worldscientific.com/doi/abs/10.1142/S0219024909005294

Language

en

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