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•西• · 2020年10月19日

问一道题:NO.PZ2016070201000085

问题如下:

Which of the following regarding equity option volatility is true?

选项:

A.

There is higher implied price volatility for away-from-the-money equity options.

B.

"Crashophobia" suggests actual equity volatility increases when stock prices decline.

C.

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

D.

Increasing leverage at lower equity prices suggests increasing volatility.

解释:

D is correct. There is higher implied price volatility for low strike price equity options. "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. Compared to the lognormal distribution, traders believe the probability of large down movements in price is higher than large up movements. Increasing leverage at lower equity prices suggests increasing volatility.

B选项,在崩盘的时候,价格下降波动减少?

1 个答案

小刘_品职助教 · 2020年10月19日

同学你好,

这道题答案不是很好,首先D选项是没有问题的。B选项其实说的也可以,但看解析的意思,似乎是出题人很严格地认为崩盘恐惧症仅仅只是表达“标的资产价格大跌的可能性远高于BSM模型假定的”。但是当资产价格下跌的时候,确实会有波动率上升的情况。

建议同学不用深究本题,掌握好知识点就行~