Abstract: Under the assumption that stocks price consists of the risky part and the risk-less part, this paper studies the pricing of American options on stocks with known dividends and transaction costs, by using the finite difference method. At last, a numerical example shows that this method is efficient and accurate

Key words: dividends, transaction cost, American options, finite difference method

摘要： 通过把股票价格看成由无风险部分和有风险部分组成，利用有限差分法对基于支付红利股票的美式期权定 价进行了研究，同时考虑了交易费用．最后，通过数值算例验证了方法的有效性和准确性．

关键词: 红利, 交易费用, 美式期权, 有限差分法