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W. Xu, W. Xu, H. Li and W. Zhang, “A Study of Greek Letters of Currency Option under Uncertainty Environments,” Mathematical and Computer Modelling, Vol. 51 No. 5-6, 2010, pp. 670-681. doi:10.1016/j.mcm.2009.10.041

has been cited by the following article:

• TITLE: Recent Developments in Fuzzy Sets Approach in Option Pricing

  AUTHORS: Srimantoorao S. Appadoo, Aerambamoorthy Thavaneswaran

  KEYWORDS: Membership Function; Fuzzy Coefficient; Black-Scholes Partial Differential Equations (PDE); Asset-or-Nothing Option; Fuzzy Real Options

  JOURNAL NAME: Journal of Mathematical Finance, Vol.3 No.2, May 24, 2013

  ABSTRACT: Recently there has been growing interest in fuzzy option pricing. Carlsson and Fuller [1] were the first to study the fuzzy real options and Thavaneswaran et al. [2] demonstrated the superiority of the fuzzy forecasts and then derived the membership function for the European call price by fuzzifying the interest rate, volatility and the initial value of the stock price. In this paper, we discuss recent developments in fuzzy option pricing based on Black-Scholes models. Fuzzy coefficient Black-Scholes partial differential equations (PDE) are derived. Membership function of the call price is given. The asset-or-nothing option by fuzzifying the maturity value of the stock price using adaptive fuzzy numbers is also discussed in some detail.