Option Pricing Models Driven by the Space-Time Fractional Diffusion: Series Representation and Applications

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In this paper, we focus on option pricing models based on space-time fractional diffusion. We briefly revise recent results which show that the option price can be represented in the terms of rapidly converging double-series and apply these results to the data from real markets. We focus on estimation of model parameters from the market data and estimation of implied volatility within the space-time fractional option pricing models.

J.-P. Aguilar, J. Korbel, Option Pricing Models Driven by the Space-Time Fractional Diffusion: Series Representation and Applications, Fractal Fract 2(1), 15 (2018)