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上小学 · 2023年08月08日

请问第三为何错?第四在讲义何处可以找到?谢谢

NO.PZ2020033001000085

问题如下:

Which of the following statement is most accurate regarding equity option volatility?

选项:

A.

Implied price volatility is higher for away-from-the-money equity options, no matter call or put.

B.

"Crashophobia" indicates that when stock prices decline, actual equity volatility increases.

C.

Traders believe the probability of large up movements in price is similar to large down movements when compared to the lognormal distribution.

D.

Increasing leverage at lower equity prices results in increasing volatility.

解释:

D is correct.

考点:Volatility smile

解析:

A is incorrect.

There is higher implied price volatility for low strike price equity options.

B is incorrect.

"Crashophobia" is based on the idea that large price declines are more likely than assumed in Black-Scholes- Merton prices, not that volatility increases when prices decline.

C is incorrect.

Compared to the lognormal distribution, traders believe the probability of large up movements in price is lower than large down movements.

第三个是错误的,第四个是对的,我的选项。

1 个答案

pzqa27 · 2023年08月09日

嗨,从没放弃的小努力你好:


C说交易者认为,与对数正态分布相比,价格大幅上涨和大幅下跌的概率相似。这个不对,应该是与对数正态分布相比,交易者认为价格大幅上涨的概率低于大幅下跌的概率。可以看到,讲义上写了左边尾巴肥,所以下跌概率大。

D选项的lower equity price的条件是因为这样更符合现实,当股价较低时,人们更愿意去通过期权加杠杆在高equity price时,正常杠杆加了,σ都会增加。

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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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