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Jenny · 2021年03月26日

这道题考得是哪个知识点?

NO.PZ2018122701000091

问题如下:

A risk manager is examining a firm’s equity index option price assumptions. The observed volatility skew for a particular equity index slopes downward to the right. Compared to the lognormal distribution, the distribution of option prices on this index implied by the Black-Scholes-Merton (BSM) model would have:

选项:

A.

A fat left tail and a thin right tail.

B.

A fat left tail and a fat right tail.

C.

A thin left tail and a fat right tail.

D.

A thin left tail and a thin right tail.

解释:

A is correct.

考点 Volatility Smile

解析 A downward sloping volatility skew indicates that out of the money puts are more expensive than predicted by the Black-Scholes-Merton model and out of the money calls are cheaper than expected predicted by the Black-Scholes-Merton model. The implied distribution has fat left tails and thin right tails.

没有对应上,请老师指导!

1 个答案

小刘_品职助教 · 2021年03月26日

同学你好,

题干描述的就是equity option的波动率微笑,对应的就是左侧的波动率更大一些,分布实际上有肥尾的特征,是讲义里这一页PPT的结论。