Option Pricing Formula for Fuzzy Financial Market

The option pricing problem is one of central contents in modern flnance. In this paper, European option pricing formula is formulated for fuzzy flnancial market and some mathematical properties of them are discussed. This formula may be regarded as the fuzzy counterpart of Black-Scholes option pricing formula. In addition, some illustrative examples are also documented with MATLAB codes. c

[1]  B. E. Sorenson FINANCIAL CALCULUS: AN INTRODUCTION TO DERIVATIVE PRICING , 1998, Econometric Theory.

[2]  Yian-Kui Liu,et al.  Expected value of fuzzy variable and fuzzy expected value models , 2002, IEEE Trans. Fuzzy Syst..

[3]  Andrew Rennie,et al.  Financial Calculus: An Introduction to Derivative Pricing , 1996 .

[4]  Xiang Li,et al.  EXPECTED VALUE AND VARIANCE OF GEOMETRIC LIU PROCESS , 2008 .

[5]  Baoding Liu,et al.  A survey of credibility theory , 2006, Fuzzy Optim. Decis. Mak..

[6]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[7]  R. C. Merton,et al.  Theory of Rational Option Pricing , 2015, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[8]  Xiang Li,et al.  A Sufficient and Necessary Condition for Credibility Measures , 2006, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[9]  J. Hull Options, futures, and other derivative securities , 1989 .

[10]  A. Etheridge A course in financial calculus , 2002 .

[11]  Baoding Liu,et al.  Uncertainty Theory - A Branch of Mathematics for Modeling Human Uncertainty , 2011, Studies in Computational Intelligence.

[12]  Baoding Liu Fuzzy Process, Hybrid Process and Uncertain Process , 2008 .

[13]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.