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he123456 · 2022年03月23日

不太理解答案的解释

NO.PZ2016082404000037

问题如下:

An option portfolio exhibits high unfavorable sensitivity to increases in implied volatility and while experiencing significant daily losses with the passage of time. Which strategy would the trader most likely employ to hedge the portfolio?

选项:

A.

  Sell short-dated options and buy long-dated options.

B.

  Buy short-dated options and sell long-dated options.

C.

  Sell short-dated options and sell long-dated options.

D.

  Buy short-dated options and buy long-dated options.

解释:

ANSWER: A

Such a portfolio is short vega (volatility) and short theta (time). We need to implement a hedge that is delta-neutral and involves buying and selling options with different maturities. Long positions in short-dated options have high negative theta and low positive vega. Hedging can be achieved by selling short-term options and buying long-term options.

题目第一句话“An option portfolio exhibits high unfavorable sensitivity to increases in implied volatility and while experiencing significant daily losses with the passage of time.”给了两个条件,这个组合是short vega和short theta的组合。关于这一点不是很理解,exhibits high unfavorable sensitivity to increases in implied volatility到底是什么意思呢?为什么是short vega?


 另外答案中有一句话:We need to implement a hedge that is delta-neutral,为什么还要考虑delta-neutral呢?这题考点不是构建组合用vega和theta to hedge吗

2 个答案

DD仔_品职助教 · 2022年03月24日

嗨,从没放弃的小努力你好:


选项要结合着来看,短期和长期的option都要分析一下

long 短期期权的theta又负又大,vega是正的但比较小。

long 长期期权的theta是负的比较小,vega是正的且比较大。

所以要获得long vega和long theta的头寸,就要long长期的期权同时short 短期的期权。


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DD仔_品职助教 · 2022年03月23日

嗨,从没放弃的小努力你好:


同学你好,

1, An option portfolio exhibits high unfavorable sensitivity to increases in implied volatility说的是期权组合对隐含波动率的增加表现出高度不利的敏感性,vega代表对波动率的敏感度,这句话说明Vega太高了,我们要short的vega,来降低vega

2,while experiencing significant daily losses with the passage of time.随着时间的流逝,每天都会遭受重大损失。theta代表随着时间的流逝组合value的改变,这句话标明theta太高,我们要说让他theta

3,因为我们做对冲的时候都是一步一步来的,先调平二阶导影响,在调平一阶导影响,解析这句话可以直接忽略,他其实就是想说明不用再考虑vega和theta调整之后的delta的影响了。

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he123456 · 2022年03月24日

我的理解也是当前vega和theta都太高了,要想hedge就得降低vega 和 theta,但是不是距离到期日越长(长期)vega越大吗,那buy long-dated options岂不是增加了vega,但是可以降低theta,因为长期的option theta的绝对值越小

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