摘要: 
本文采用连续时间的多重复合期权Geske及其扩展模型来解决多阶段投资决策问题，在基本Geske公式基础上，给出了具有时变参数的连续时间N重复合期权的扩展Geske公式，并对采用Geske公式和离散期权模型得出的数值结果进行了比较。实例结果分析比较表明，利用已发表的算法和目前的普通PC计算机和数学工具软件，如DATAPLOT、MATHEMATICA等，对连续时间的N重复合期权模型(N ≤ 10)的数值解求解不再具有困难，并且可以得到较其他方法更高精度的计算结果。 Abstract: This paper make uses of N-fold continuous compound option formula to resolve multi-stages investment decision problem, and give an expansion of basic Geske formula to N-fold continuous time option with variable parameters, and then make a comparison of the results of adoption expanded Geske formula with other discrete option formulas such as binomial and trinomial formula. The results show, by means of the popular home PC with mathematic software, such as DATAPLOT, MATHEMATICA etc., the solution procedure if n ≤ 10 is quite easy with a no difficult, and can get the results with higher accuracy than other solution method.

关键字: 多重复合期权n-fold compound option,实物期权Real option, 数值方法Numerical method, Geske公式Geske formula