A fractional Black-Scholes model with stochastic volatility and European option pricing

作者:

Highlights:

• European option pricing is studied under a FMLS model with stochastic volatility.

• We have successfully solved a fractional partial differential equation system.

• The derived pricing formula is truly explicit, involving no Fourier inversion.

摘要

•European option pricing is studied under a FMLS model with stochastic volatility.•We have successfully solved a fractional partial differential equation system.•The derived pricing formula is truly explicit, involving no Fourier inversion.

论文关键词:FMLS model,Stochastic volatility,Explicit and analytical,Fractional partial differential equation

论文评审过程:Received 18 November 2020, Revised 19 February 2021, Accepted 30 March 2021, Available online 9 April 2021, Version of Record 22 April 2021.

论文官网地址:https://doi.org/10.1016/j.eswa.2021.114983