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On the Numerical Option Pricing Methods: Fractional Black-Scholes Equations with CEV Assets

Author

Listed:
  • S. Banihashemi

    (University of Mazandaran)

  • A. Ghasemifard

    (University of Mazandaran)

  • A. Babaei

    (University of Mazandaran)

Abstract

This article explores a stochastic volatility model that incorporates fractional Brownian motion (fBm) into the constant elasticity of variance (CEV) framework. We use time series models to estimate the drift and volatility parameters of the model and validate its performance. We also examine the fractional Black-Scholes (BS) equation arising from the CEV model with fBm. To solve this equation numerically, we apply a Chebyshev collocation method and analyze its convergence properties. We demonstrate the effectiveness of the numerical method with an example and apply it to the option pricing problem.

Suggested Citation

  • S. Banihashemi & A. Ghasemifard & A. Babaei, 2024. "On the Numerical Option Pricing Methods: Fractional Black-Scholes Equations with CEV Assets," Computational Economics, Springer;Society for Computational Economics, vol. 64(3), pages 1463-1488, September.
    • Handle: RePEc:kap:compec:v:64:y:2024:i:3:d:10.1007_s10614-023-10482-4
    DOI: 10.1007/s10614-023-10482-4
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    References listed on IDEAS

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