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Xiao, W.-L., Zhang, W.-G., Zhang, X. and Zhang, X. (2012) Pricing Model for Equity Warrants in a Mixed Fractional Brownian Environment and Its Algorithm. Physica A: Statistical Mechanics and Its Applications, 391, 6418-6431. https://doi.org/10.1016/j.physa.2012.07.041

has been cited by the following article:

• TITLE: Mixed Fractional Merton Model to Evaluate European Options with Transaction Costs

  AUTHORS: Foad Shokrollahi

  KEYWORDS: Transaction Costs, Mixed Fractional Brownian Motion, European Option, Merton Model

  JOURNAL NAME: Journal of Mathematical Finance, Vol.8 No.4, November 7, 2018

  ABSTRACT: This paper deals with the problem of discrete-time option pricing by the mixed fractional version of Merton model with transaction costs. By a mean-self-financing delta hedging argument in a discrete-time setting, a European call option pricing formula is obtained. We also investigate the effect of the time-step δt and the Hurst parameter H on our pricing option model, which reveals that these parameters have high impact on option pricing. The properties of this model are also explained.