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FRM考生注意!劃重點啦!今日整理知識點:FRM二級市場風險重要知識點-波動率微笑。市場風險計量與管理在FRM考試科目中可以算是一個知識點較多的板塊,且在整個考試中的占比為20%,分數占比還是很高的,大家一定要重點進行學習!!
正保會計網校的老師不光給大家總結了知識點,還結合了精選例題,給大家做了細致的講解,一起來學習一下吧!
先來看看Alex老師的整體知識點介紹,更好理解呦!
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●知識點:波動率微笑●
What is volatility smile?
?Volatility smile is a plot of the implied volatility of an option as a function of its strike price.
Foreign Currency Options
Equity Options
常考點:
1. 注意區分外匯期權和股票期權的隱含波動率的區別。外匯期權是波動率微笑,股票期權是波動率斜笑。
2. 相同行權價格和到期日的歐式看漲期權和歐式看跌期權的隱含波動率相同。
例題:
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.
A.I and III only
B.I and IV only
C.II and III only
D.II and IV
【正確答案】B
【答案解析】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 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.
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