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xyrg+ · 2023年04月20日

这是默认stock的Δ=1,gamma=0了吗?

NO.PZ2016082404000031

问题如下:

Suppose an existing short option position is delta-neutral, but has a gamma of -600. Also assume that there exists a traded option with a delta of 0.75 and a gamma of 1.50. In order to maintain the position gamma-neutral and delta- neutral, which of the following is the appropriate strategy to implement?

选项:

A.

  Buy 400 options and sell 300 shares of the underlying asset.

B.

  Buy 300 options and sell 400 shares of the underlying asset.

C.

  Sell 400 options and buy 300 shares of the underlying asset.

D.

  Sell 300 options and buy 400 shares of the underlying asset.

解释:

ANSWER: A

Because gamma is negative, we need to buy a call to increase the portfolio gamma back to zero. The number is 600/1.5 = 400 calls. This, however, will increase the delta from zero to 400 × 0.75 = 300. Hence, we must sell 300 shares to bring the delta back to zero. Note that positions in shares have zero gamma.

这是默认stock的Δ=1,gamma=0了吗?

1 个答案
已采纳答案

pzqa27 · 2023年04月21日

嗨,爱思考的PZer你好:


是的,这个是重要结论,请直接记住,因为delta本质指的是标的物变动一元时,股票价格的变化,那么对于股票来说,自身相对自身的变化肯定是1,同时股票是一种线性资产,因此gamma这种衡量非线性关系的指标肯定是0

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