There are four parts in this paper. The first chapter introduce the development of financial mathematics, Backward Stochastic Differential Equation (BSDE) and the pricing of contingent claim, especially of European style by using the method of BSDE.

• 本文分为四个部分,第一章绪论,介绍了金融数学和倒向随机微分方程(BSDE)的发展背景以及利用BSDE研究未定权益定价特别是欧式未定权益定价的发展状况。