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Zhj006 · 2025年04月16日

A

NO.PZ2023041003000062

问题如下:

Which of the following is least likely correct regarding the gamma hedge?

选项:

A.

To be fully hedged against a small change in the stock price, the proper strategy to construct the hedge is to use call option delta and add the call option gamma to arrive at the number of shares required.

B.

To achieve a gamma neutral portfolio, the portfolio delta should be neutralized firstly.

C.

Gamma can be managed to an acceptable level by buying or selling options.

解释:

B is incorrect. A gamma neutral portfolio implies the gamma is zero. To achieve a gamma neutral portfolio, First, gamma can be managed to an acceptable level by buying or selling options; Second, then delta is neutralized. To alter the portfolio delta, the trader simply buys or sells stock.

能解释一下A的意图吗

1 个答案

李坏_品职助教 · 2025年04月16日

嗨,从没放弃的小努力你好:


A意思是,为了完美对冲股票价格的小幅波动,我们需要考虑看涨期权的delta以及gamma的影响,意思是要对这两种希腊字母都进行对冲。在实际操作中,假设现在我们的仓位的gamma = 10,一份看涨期权的gamma = 1,我们需要先卖出10份看涨期权,把gamma对冲掉。然后再利用基础资产把仓位的delta也对冲到0。 这样才叫完美对冲(fully hedge)。


A选项是没有问题的,本题要选出错误的选项,选的是B。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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