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Fuzzy Optimization of Option Pricing Model and Its Application in Land Expropriation
Author(s) -
Aimin Heng,
Qian Chen,
Yingshuang Tan
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/635898
Subject(s) - fuzzy logic , expropriation , mathematical optimization , valuation of options , variance (accounting) , black–scholes model , fuzzy number , econometrics , computer science , measure (data warehouse) , economics , mathematics , fuzzy set , actuarial science , data mining , artificial intelligence , volatility (finance) , accounting , market economy
Option pricing is irreversible, fuzzy, and flexible. The fuzzy measure which is used for real option pricing is a useful supplement to the traditional real option pricing method. Based on the review of the concepts of the mean and variance of trapezoidal fuzzy number and the combination with the Carlsson-Fuller model, the trapezoidal fuzzy variable can be used to represent the current price of land expropriation and the sale price of land on the option day. Fuzzy Black-Scholes option pricing model can be constructed under fuzzy environment and problems also can be solved and discussed through numerical examples

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