Application of Fuzzy Theory to Binomial Option Pricing Model

  • Shu-xia Liu
  • Yi Chen
  • Na-Xu
Part of the Advances in Soft Computing book series (AINSC, volume 54)


This paper presents an extension of the binomial option pricing model, which has the capabilities to cope with uncertain assumptions. Such assumptions are represented and dealt with in the framework of fuzzy theory. As the stock price can not be known exactly in advance, the approach of taking stock price as fuzzy price is more realistic and be easily accepted. In this paper, we take stock price in each node as fuzzy variable instead of crisp, then build a fuzzy binomial tree model and get numerical result in one period case. The simulation for fuzzy multiperiod binomial pricing model is also provided.


Options Binomial option pricing Fuzzy theory 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Shu-xia Liu
    • 1
  • Yi Chen
    • 2
  • Na-Xu
    • 3
  1. 1.Institute of Systems EngineeringTianjin UniversityTianjinP.R. China
  2. 2.Institute of Systems EngineeringTianjin UniversityTianjinChina
  3. 3.Computer Science DepartmentHebei Normal University of Science TechnologyQinhuangdaoChina

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