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Shokrollahi, F., Kılıçman, A. and Magdziarz, M. (2016) Pricing European Options and Currency Options by Time Changed Mixed Fractional Brownian Motion with Transaction Costs. International Journal of Financial Engineering, 3, 1650003.

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.