假定金融市场中的投资者仅掌握部分信息,即投资者仅能观测到股票和债券价格,而股票的瞬时回报率和市场的噪声源不能观测.对存款利率和贷款利率不相等的情形,运用凸分析和滤波技术得到了部分信息下股票付红利的Black-Scholes期权定价公式.对部分信息下最大化终端财富的问题,获得了最优投资策略. Suppose investors in financial markets only have some information, that is, investors can only observe the prices of stocks and bonds while the instantaneous returns of stocks and the sources of noise in the market can not be observed.When the deposit interest rates and lending rates are not equal, Convex analysis and filtering techniques obtain the Black-Scholes option pricing formula under partial information, and obtain the optimal investment strategy for maximizing the terminal wealth under partial information.