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Colin · 2021年09月01日

为什么是 deep in the money call?

NO.PZ2018122701000084

问题如下:

With all other things being equal, a risk monitoring system that assumes constant volatility for equity returns will understate the implied volatility for which of the following positions by the largest amount:

选项:

A.

Short position in an at-the-money call

B.

Long position in an at-the-money call

C.

Short position in a deep in-the-money call

D.

Long position in a deep in-the-money call

解释:

D is correct.

考点 Volatility Smile

解析 A plot of the implied volatility of an option as a function of its strike price demonstrates a pattern known as the volatility smile or volatility skew. The implied volatility decreases as the strike price increases. Thus, all else equal, a risk monitoring system which assumes constant volatility for equity returns will understate the implied volatility for a long position in a deep-in-the-money call.

understated在这里的意思是被低估吗?应该是deep-OTM-call或者deep-ITM-put被低估吧?因为左边高所以左边被高估

1 个答案

李坏_品职助教 · 2021年09月01日

嗨,从没放弃的小努力你好:


这道题目稳定是constant volatility(固定的波动率)会低估哪些仓位的隐含波动率(implied volatility)。


期权多头的隐含波动率有着波动率微笑的性质(volatility smile),也就是Deep otm call和 deep itm call的隐含波动率都是显著高于atm的。


这道题没有特别强调是volatility smirk(在smirk的情况下,的确是股票价格低的otm call或itm put的隐含波动率最高),所以四个选项中,只有D比较符合。



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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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