The Study Of Option Pricing Model Based On The Fuzzy Theory

There are many uncertainties in the financial market, so the stock prices rise and fall fator, there is a certain ambiguity. This paper mainly studies several option pricing model, based on fuzzy theory. First, an approximate representation is parabolic for fuzzy numbers, and then using the parabolic type fuzzy number for a single period(constant volatility, volatility changes), composite (constant volatility, volatility fluctuations in the rate of change of time-varying function) option fuzzy pricing model, derive the B-S option pricing model based on fuzzy theory; Second, integrated group decision-making method is given, the fuzzy number interval in the form of integration, and then use the model of fractional interval B-S fuzzy(volatility unchanged, volatility is time-varying functions), with jump-diffusion model(constant volatility, volatility and time-varying functions)model with fractional jump-diffusion process fuzzy, fuzzy B-S option pricing model is derived under stochastic conditions. In order to make investors more intuitive to see earnings optimism and pessimistic value, guiding the investment.