Some Research On European Option Pricing

With the development and improvement of finance and economics, finan-cial derivatives are becoming more and more important in financial area, thus the pricing problem of financial derivatives is becoming more and more welcome to people. As a classical financial derivatives, the research of option pricing theory and technique has already been the hot issues in financial community. There are lots of pricing models of options,among them the most famous is the Black-Scholes model which has won the Nobel Prize in Economics in1997. However, in reality, some uncertain reasons make the pricing problem difficult to practice, such as the information asymmetries, the subjective judgment, and the risk appetite.This paper is organized as follows:Firstly, it’s the introduction of options and the pricing models, including their definition, origin and development. Secondly, it’s some discussions about some special European options under the assume of no-arbitrage and complete market. This can be regarded as a spread of Black-Scholes formula. Thirdly, we will give an introduction of uncertain theory. Then, we will use it to do some research of pricing on some new options. At last, it’s the conclusion and outlook.