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水瓶公主 · 2023年04月24日

需要找一个vega为负,thta为正的吗?

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.

那不应该是c吗?有点绕

1 个答案

李坏_品职助教 · 2023年04月25日

嗨,从没放弃的小努力你好:


题目给的条件是:现在有一个期权组合,这个组合在隐含波动率上升时非常不利,随着时间的流逝也在损失价值。所以这样的期权组合是在做空波动率(short vega)、做空time passage(short theta)。


我们的hedge需要提供正的vega和正的theta,并且要保持delta neutral,就是不能引入delta风险。


选项要结合着来看,短期和长期的option都要分析:

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。


现在short 短期期权可以获得又正又大的theta和负的很小的vega;

long长期期权可以获得负的很小的theta和又正又大的vega。

两个结合起来看,就是获得了正的theta和正的vega,并且delta是互相抵消的(期权Long + short抵消),满足题目的hedge要求。

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