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若然 · 2024年06月14日

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* 问题详情,请 查看题干

NO.PZ202108100100000408

问题如下:

Lee’s put-based hedge strategy for Solomon’s ETF position would most likely result in a portfolio gamma that is:

选项:

A.

negative.

B.

neutral.

C.

positive.

解释:

C is correct.

Because the gamma of the stock position is 0 and the put gamma is always non-negative, adding a long position in put options would most likely result in a positive portfolio gamma.

Gamma is the change in delta from a small change in the stock’s value. A stock position always has a delta of +1. Because the delta does not change, gamma equals 0.

The gamma of a call equals the gamma of a similar put, which can be proven using put-call parity.

中文解析:

根据题干可知,使用的是long put来进行对冲。对于call或者put,只要是long头寸,gamma都为正的;而不论call或者put只要是short 头寸,其gamma都是负的。因此本题选C。

请问,如果不是put-based hedge strategy,而是call-based hedge strategy,那本题中就是short call,那就是gamma为负了?

1 个答案

pzqa35 · 2024年06月15日

嗨,努力学习的PZer你好:


是的哈,对于gamma这个字母,long option为正,short option为负,根据这个标准进行判断即可。


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