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六姑娘 · 2021年08月27日

d选项不应该是错的吗?isd又是什么意思

NO.PZ2016070202000023

问题如下:

Assume that implied volatilities from equity option prices display a volatility skew and that implied vols from currency option prices display a volatility smile. Which of the following statements about option price implied volatility curves are true?

I. The implied volatility of a deep out-of-the-money equity put option is higher than that of a deep-in-the-money equity put.

II. The implied volatility of a deep out-of-the-money equity call option is higher than that of an at-the-money equity call option.

III.   The implied volatility of a deep in-the-money currency call option cannot be the same as that of a deep in-the-money currency put option.

IV.    The implied volatility of a deep out-of-the-money currency call option is higher than that of an at-the-money currency call option.

选项:

A.

I and III only

B.

I and IV only

C.

II and III only

D.

II and IV only

解释:

A volatility skew means that, for equities, the ISD of out-of-the-money (OTM) puts is greater than that of ITM puts, so answer I. is true. Conversely, the ISD of ITM puts, or equivalently that of OTM calls, is similar to that of ATM options, so answer II. is false. A volatility skew means that, for currencies, the ISD of out- of-the-money options is greater than that of ATM options, so answer IV. is true. On the other hand, OTM and ITM options might have similar vols (for currency options), so answer III. is false.

d选项不应该是错的吗?isd又是什么意思

3 个答案
已采纳答案

品职答疑小助手雍 · 2021年08月28日

IV句子里明确说了是currency option

六姑娘 · 2021年08月28日

好吧,我没注意看题啊。

品职答疑小助手雍 · 2021年08月27日

嗨,爱思考的PZer你好:


没说错啊,对于currency option,OTM的call的隐波就是应该比ATM的大。

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六姑娘 · 2021年08月28日

对stock option来说,OTM call大于ATM call就是错的,不是吗?那d不应该就是错的吗

李坏_品职助教 · 2021年08月27日

嗨,努力学习的PZer你好:


 ISD意思是Implied Standard Deviation, 是隐含波动率implied volatility的另一种称呼。


IV项里面说的是currency call. 对于currency外汇期权来说,vol smile的两边是对称的,也就是deep otm call的ISD和deep ITM call的ISD都高于ATM call。所以IV是正确的。


对于stock option来说,volatility skew是两边不对称的,股票价格很高的时候对应的volatility是高于股票价格很低的volatility的,也就是OTM put 的ISD高于ITM put和ATM put。而ITM call的ISD高于OTM call和ATM call。


所以I和IV是对的,其他错误,选B。

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努力的时光都是限量版,加油!

六姑娘 · 2021年08月27日

你看看d说的是OTM call大于ATM call,这应该是错的啊