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  • 标题:The Black-Scholes Equation with Variable Volatility Through the Adomian Decomposition Method
  • 本地全文:下载
  • 作者:O. Gonz´alez-Gaxiola ; O. Gonz´alez-Gaxiola
  • 期刊名称:Communications in Mathematical Finance
  • 印刷版ISSN:2241-1968
  • 电子版ISSN:2241-195X
  • 出版年度:2016
  • 卷号:5
  • 期号:1
  • 语种:English
  • 出版社:Scienpress Ltd
  • 摘要:The Black-Scholes equation is a partial differential equation characterizing the price evolution of a European call option and put option on a stock. In this work, we use the Adomian Decomposition Method (ADM) for the approximation of the solution of the Black-Scholes equation and show how it can be applied to a case in which the volatility is not constant but is dependent on the price of the underlying asset. Finally, we expose a numerical example to validate the developed method.
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