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  • 标题:Pricing Option with Stochastic Interest Rates and Transaction Costs in Fractional Brownian Markets
  • 本地全文:下载
  • 作者:Lina Song ; Kele Li
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2018
  • 卷号:2018
  • DOI:10.1155/2018/7056734
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This work deals with European option pricing problem in fractional Brownian markets. Two factors, stochastic interest rates and transaction costs, are taken into account. By the means of the hedging and replicating techniques, the new equations satisfied by zero-coupon bond and the nonlinear equation obeyed by European option are established in succession. Pricing formulas are derived by the variable substitution and the classical solution of the heat conduction equation. By the mathematical software and the parameter estimation methods, the results are reported and compared with the data from the financial market.
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