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天王老子 · 2021年09月07日

long or short?

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.

这题我觉得C比较合适吧。抛开 volatility smile 在in the money call(x最小)时候肯定波动最大,再来判断long short:short方的风险肯定大于long方啊,long方对自己不利时候不行权,short方在不利的时候被动行权。

1 个答案

品职答疑小助手雍 · 2021年09月08日

嗨,爱思考的PZer你好:


按照原版书的结论,是没对long还是short 下结论的,所以还是C和D其实都行。

这题重点还是放在ITM call吧,strike低隐波高。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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