Derivatives Pricing Based on Stochastic Control With Transaction Cost, Taxes and Dividends

摘要

This paper attempts to apply stochastic control theory, considering option pricing on the situation when payment, tax and transaction costs exist, and finally obtain an interval of price, which not only make it more similar to the reality, but also provide reference for investors to make investment decisions. Our paper improved the uncertain volatility model. Based on the theory of stochastic control, we find the viscous solution of nonlinear partial differential equations by numerical methods when transaction cost and tax exist, and complete the empirical analysis on the actual data of the market, which has proved the value of this model.