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椰子皮 · 2022年08月19日

volatility skew

* 问题详情,请 查看题干

NO.PZ201601050100001606

问题如下:

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:

B is correct.

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.

中文解析:

印度的NIFTY 50指数当前的交易水平为11610点,接近表格2中的11,600。因此可以认为执行价格为11,6000的期权是处在ATM状态的期权。

以看跌期权为例,执行价格高于11600的是ITM的期权;执行价格低于11600的是OTM的期权。

Volatility smile的图形显示的是不论是OTM put还是ITMput,其隐含波动率都是高于ATM状态时的隐含波动率的。

Volatility skew的图形则显示的是OTMput隐含波动率高于ATM状态的putITMput其隐含波动率会略微低于ATM状态的put

因此根据表格可知,这符合volatility skew的形态。

问个问题,deep OTM put保障力度这么小,价格还这么高,为啥投资者还追着买?为何不买个更便宜、X高一点、保障力度更高的OTM put?这不符合正常的逻辑啊?

2 个答案

lynn_品职助教 · 2022年08月22日

嗨,努力学习的PZer你好:


应该是给极端情况保险

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努力的时光都是限量版,加油!

lynn_品职助教 · 2022年08月22日

嗨,从没放弃的小努力你好:


不是先价格高,投资者再买的哦,是投资者的需求推高了deep OTM的价格。

一般都是恐慌情绪高涨时,担心会发生价格暴跌,交易员不计代价地买入OTM put,推高了OTM put的价格,理解为大家都想买个保险,而deep的“保险”效果更好,因为在恐慌时害怕的是市场快速的非理智地下跌。

----------------------------------------------
努力的时光都是限量版,加油!

椰子皮 · 2022年08月22日

噢噢噢,好像有个地方我理解有问题,X越低,保险力度更大是吗?

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