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在前两篇文章中我们提到了Delta, Gamma 对冲,在这期我们再进一步简单介绍Theta对冲。
期权价格除了和股票价格有关系,同时和时间也有关系。
由前两篇文章的相关知识,期权价格对股票价格求一阶导数可以得到Theta(),即$\theta=\frac{\partial\mathrm{Option}}{\partial t}$
Delta Gamma Theta对冲通常有一种股票和三种期权所组成,三种期权的数量$x,y,z$满足如下方程
打开示例文件“Delta Gamma Theta Hedging”,可以看到
其中各个按钮和相关参数的说明,均可以参考前两篇文章。
从这张图中可以看到,Delta Gamma Theta对冲的效果较好。
Attachments
- Delta Gamma Theta Hedging (59 kB)
- Delta Gamma Theta Hedging_2 (65 kB)