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薛真 · 2020年10月20日

问一道题:NO.PZ2020021205000043

问题如下:

A delta-neutral portfolio has a gamma of -20. The price of the underlying asset suddenly increases by USD 3. Estimate what happens to the value of the portfolio. What difference does it make if the price of the underlying asset suddenly decreases by USD 3?

选项:

解释:

The USD value of the portfolio will change by: 1/2X (-20) X 3^2= -90

The change in the value of the portfolio is the same if the value of the underlying asset decreases by USD 3.

公式是什么?

1 个答案

品职答疑小助手雍 · 2020年10月21日

嗨,努力学习的PZer你好:


期权的delta gamma,可以直接类比债券duration和convexity的公式。

gamma和convexity为正都意味着不管underlying价格怎么变动,他们都有正向影响;为负意味着不管underlying价格怎么变动,他们都有负向影响。

因为△y那一项被平方了。


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