在完备的多维扩散过程的市场模型(模型系数是依赖于时间的广义 Black-Scholes 市场模型)假设下,考虑了连续时间均值-风险型证券投资组合策略选择问题.用终端财富的在险收益(earnings at risk,EaR)作为风险度量标准,分别在允许卖空和不...在完备的多维扩散过程的市场模型(模型系数是依赖于时间的广义 Black-Scholes 市场模型)假设下,考虑了连续时间均值-风险型证券投资组合策略选择问题.用终端财富的在险收益(earnings at risk,EaR)作为风险度量标准,分别在允许卖空和不允许卖空两种情况下,获得了均值-EaR 型投资组合策略选择问题的最优解和有效边界的显式表达式.展开更多
This paper analyzes and values an American barrier option with continuous payment plan written on a dividend paying asset under the classical Black-Scholes model.The integral representation of the initial premium alon...This paper analyzes and values an American barrier option with continuous payment plan written on a dividend paying asset under the classical Black-Scholes model.The integral representation of the initial premium along with the delta hedge parameter for an American continuous-installment down-and-out call option are obtained by using the decomposition technique.This offers a system of nonlinear integral equations for determining the optimal exercise and stopping boundaries,which can be utilized to approximate the option price and delta hedge parameter.The implementation is based on discretizing the quadrature formula in the system of equations and using the Newton-Raphson method to compute the two optimal boundaries at each time points.Numerical results are provided to illustrate the computational accuracy and the effects on the initial premium and optimal boundaries with respect to barrier.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.40675023Guangxi Natural Science Foundation under Grant No.0991091
文摘This paper analyzes and values an American barrier option with continuous payment plan written on a dividend paying asset under the classical Black-Scholes model.The integral representation of the initial premium along with the delta hedge parameter for an American continuous-installment down-and-out call option are obtained by using the decomposition technique.This offers a system of nonlinear integral equations for determining the optimal exercise and stopping boundaries,which can be utilized to approximate the option price and delta hedge parameter.The implementation is based on discretizing the quadrature formula in the system of equations and using the Newton-Raphson method to compute the two optimal boundaries at each time points.Numerical results are provided to illustrate the computational accuracy and the effects on the initial premium and optimal boundaries with respect to barrier.
