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坏呼呼嘿嘿 · 2023年07月22日

这个skew和smile每次都是 call和put一起看吗?

NO.PZ2022123002000035

问题如下:

Ahlim also expresses interest in trading options on India’s NIFTY 50 (National Stock Exchange Fifty) Index. Ngoc gathers selected one-month option prices and implied volatility data, which are presented in Exhibit 2. India’s NIFTY 50 Index is currently trading at a level of 11,610:

Exhibit 2 Selected one-month option prices and implied volatility data: NIFTY 50 Index (all prices in Indian repees)

Based on Exhibit 2, the NIFTY 50 Index implied volatility data most likely indicate a:

选项:

A.

risk reversal

B.

volatility skew

C.

volatility smile

解释:

Correct Answer: B

When the implied volatility decreases for OTM (out-of-the-money) calls relative to ATM (at-the-money) calls and increases for OTM puts relative to ATM puts, a volatility skew exists. Put volatility is higher, rising from 16.44 ATM to 17.72 OTM, likely because of the higher demand for puts to hedge positions in the index against downside risk. Call volatility decreases from 12.26 for ATM calls to 11.98 for OTM calls since calls do not offer this valuable portfolio insurance.

A is incorrect because a risk reversal is a delta-hedged trading strategy seeking to profit from a change in the relative volatility of calls and puts.

C is incorrect because a volatility smile exists when both call and put volatilities, not just put volatilities, are higher OTM than ATM.

这个skew和smile每次都是 call和put一起看吗?

1 个答案

pzqa31 · 2023年07月23日

嗨,从没放弃的小努力你好:


是的,要看的是同一个期权在不同状态下的自己比较,比如我们需要单独看put,单独看call,他在OTM,ITM和ATM的状态下,我们来看他的隐含波动率的大小关系,进而判断隐含波动率是呈现smile还是skew的状态。


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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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NO.PZ2022123002000035 问题如下 Ahlim also expressesinterest in trang options on Ina’s NIFTY 50 (NationStoExchange Fifty)Inx. Ngoc gathers selecteone-month option prices animplievolatilitytwhiare presentein Exhibit 2. Ina’s NIFTY 50 Inx is currentlytrang a level of 11,610:Exhibit 2 Selecteone-month option prices animplieolatility tNIFTY 50 Inx (all prices in Inrepees)Basen Exhibit 2, the NIFTY 50 Inx implievolatility ta most likely incate A.risk revers B.volatility skew C.volatility smile CorreAnswer: BWhen the implieolatility creases for OTM (out-of-the-money) calls relative to ATM(at-the-money) calls anincreases for OTM puts relative to ATM puts, avolatility skew exists. Put volatility is higher, rising from 16.44 ATM to17.72 OTM, likely because of the higher manfor puts to hee positions inthe inx against wnsi risk. Call volatility creases from 12.26 for ATMcalls to 11.98 for OTM calls sincalls not offer this valuable portfolioinsurance.A is incorrebecausea risk reversis a lta-heetrang strategy seeking to profit from achange in the relative volatility of calls anputs.C is incorrebecausea volatility smile exists when both call anput volatilities, not just putvolatilities, are higher OTM thATM. 是不是相当于对于skew,我们要看OTM的call和ATM的call比是不是implievolatility小,然后OTM的put和ATM的put比是不是implievolatility大;ITM的call和put就不用管了对于smile,要看OTM的call的implievolatility是不是比ITM的大,然后OTM的put的implievolatility是不是比ITM的

2023-07-29 17:10 1 · 回答