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An Option Pricing Model Calibration Using Algorithmic Differentiation

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Abstract

We study the application of gradient-based optimization methods for calibrating a stochastic volatility model used for option pricing. To this end, we derived and analyzed Monte Carlo estimators for computing the gradient of a certain payoff function using Finite Differencing and Algorithmic Differentiation. We have assessed the accuracy and efficiency of both methods and their impacts into the optimization algorithm. Numerical results are presented and discussed. This work can benefit investors in financial products with the need for fast and more precise predictions of future market data.

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Correspondence to Emmanuel M. Tadjouddine .

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© 2011 Springer-Verlag London Limited

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Tadjouddine, E.M., Cao, Y. (2011). An Option Pricing Model Calibration Using Algorithmic Differentiation. In: Gelenbe, E., Lent, R., Sakellari, G. (eds) Computer and Information Sciences II. Springer, London. https://doi.org/10.1007/978-1-4471-2155-8_74

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  • DOI: https://doi.org/10.1007/978-1-4471-2155-8_74

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2154-1

  • Online ISBN: 978-1-4471-2155-8

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