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Zhj006 · 2025年04月16日

long put

NO.PZ2023041003000051

问题如下:

Lee also indicates that a long position in puts could be used to hedge larger moves in the GPX. She notes that although hedging with either puts or calls can result in a delta-neutral position, they would need to consider the resulting gamma.

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:

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.

为什么long put会带来正的Gamma呢

1 个答案

李坏_品职助教 · 2025年04月16日

嗨,爱思考的PZer你好:


任何期权,只要是long(就是买入期权),别管是call option还是put option,他们的gamma都是大于0的。


gamma代表期权价格相对于标的资产价格的二阶导数,或者看做是delta的一阶导数(就是delta的斜率)。

看这个图,无论是看涨期权还是看跌期权的多头,delta的斜率永远是向上的,斜率永远大于0,所以gamma都是大于0的。

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