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薛真 · 2020年03月29日

问一道题:NO.PZ2020021205000044

问题如下:

From the information in the following table, estimate (a) what position should be taken in option A and the underlying asset for vega and delta neutrality, and (b) what position should be taken in option B and the underlying asset for gamma and delta neutrality. Note: when answering part (b) do not assume that the position in part (a) has been taken.

选项:

解释:

For vega neutrality, we can take a position of -200 in option A. This will create a delta of 0.8 X (-200) = -160, and 160 of the underlying asset should be purchased. For gamma neutrality, we can take a position of -120 in option B. This will create a delta of -0.6 X (-120) = 72, and 72 of the underlying asset should be sold.

最后卖出72份投资组合后,GAMMA就不在中性了。是不是?

2 个答案
已采纳答案

品职答疑小助手雍 · 2020年03月30日

嗨,爱思考的PZer你好:


同学你好,这里不是说要卖出72份投资组合,而是卖出72份underlying asset,underlying asset的delta是1,gamma是0(默认的)。

这题问的是原本的portfolio 的delta是0,vega是400,gamma是60.

你可以用的是optionA,optionB和underlying3种产品,使portfolio达到a,b两问要求的状态。


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


薛真 · 2020年03月30日

1.这个标的资产类似股票或者期货价格曲线是线性的?2.这里的portfolio指的是optionA,OPTIONB以及标的资产的投资组合?我还以为投资组合单单就是一个投资组合,与其他没关系。

品职答疑小助手雍 · 2020年03月31日

标的资产不知道是什么,所以不知道是不是线性的(这也不重要),但是它和期权的关系是由那些希腊字母组成的关系。 这里的组合就是与标的资产相关的组合,它与标的资产的关系也是通过希腊字母(敏感性)呈现的。这题需要做的就是通过标的资产和期权来改变这个组合的希腊字母。

品职答疑小助手雍 · 2020年03月31日

不需要刻意想这标的资产是什么,组合是什么,他们在题目里呈现的就是一个一个的敏感性因子,只要按题目要求调整敏感性因子就可以了。

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2023-03-11 15:21 1 · 回答

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2023-02-22 15:17 1 · 回答

NO.PZ2020021205000044 请问这个200是怎么来的? For gamma neutrality, we ctake a position of -120 in option B. ,请问120是怎么来的?

2021-09-05 19:53 1 · 回答

NO.PZ2020021205000044 辛苦老师重新梳理一下解题思路,答案过于简单了,没看懂怎么对冲的计算过程及思路,不是先对冲gamma么

2021-04-11 19:56 5 · 回答

Unrlying assets的vaga是0吗?long 160份标的物的时候,不需要考虑标的物的vaga吗?

2020-06-24 22:21 1 · 回答