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  • 标题:Mixed Fractional Merton Model to Evaluate European Options with Transaction Costs
  • 本地全文:下载
  • 作者:Foad Shokrollahi
  • 期刊名称:Journal of Mathematical Finance
  • 印刷版ISSN:2162-2434
  • 电子版ISSN:2162-2442
  • 出版年度:2018
  • 卷号:8
  • 期号:4
  • 页码:623-639
  • DOI:10.4236/jmf.2018.84040
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要: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.
  • 关键词:Transaction Costs;Mixed Fractional Brownian Motion;European Option;Merton Model
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