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mosquito三颗猫 · 2022年07月23日

请问这题的曲线具体如何画?我理解的是提干只给了X>S的右半边情况,怎么画出X<S的图形?

* 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。

请问这题的曲线具体如何画?我理解的是提干只给了X>S的右半边情况,怎么画出X

5 个答案

lynn_品职助教 · 2022年08月11日

嗨,努力学习的PZer你好:


call也是符合的,只是没有那么完美。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

lynn_品职助教 · 2022年08月10日

嗨,从没放弃的小努力你好:


表格里给的call的隐含波动率,前几个是很小的数(5.87),然后再增加(到12.26),再降低(到11.98)

我明白同学的意思,实务中不会是很完美的,v skew和smile都是总结出来的规律,就像k线m顶一样,这也是为什么我用put来举例的原因,因为put它有“理论”上的解释,投资者普遍做多,所以担心会发生价格暴跌,OTM put的需求就会很大,理解为大家都想买个保险,需求推高了价格,使得通过价格反算出来的隐含波动率偏高,形成了skew的形态。

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努力的时光都是限量版,加油!

椰子皮 · 2022年08月11日

好的老师。所以这种情况,其实看put就行,没必要看call了是吧?

lynn_品职助教 · 2022年08月10日

嗨,努力学习的PZer你好:


但是老师,表格里给出的call的隐含波动率数据明显不是向下偏斜的呀?

你再看一下图

Call volatility decreases from 12.26 for ATM calls to 11.98 for OTM calls.

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加油吧,让我们一起遇见更好的自己!

椰子皮 · 2022年08月10日

表格里给的call的隐含波动率,前几个是很小的数(5.87),然后再增加(到12.26),再降低(到11.98)

lynn_品职助教 · 2022年08月10日

嗨,努力学习的PZer你好:


考虑的,只是用put举例

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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!

椰子皮 · 2022年08月10日

但是老师,表格里给出的call的隐含波动率数据明显不是向下偏斜的呀?

lynn_品职助教 · 2022年07月25日

嗨,努力学习的PZer你好:


X>S的右半边情况,怎么画出X

表格给了具体情况

volatility skew一般是:投资者普遍做多,所以担心会发生价格暴跌,OTM put的需求就会很大,理解为大家都想买个保险,需求推高了价格,使得通过价格反算出来的隐含波动率偏高,形成了skew的形态。

 

以put为例,OTM的put隐含波动率高于ATM状态的put;ITM的put其隐含波动率会略微低于ATM状态的put。

16.44ATM  17.72OTM ITM 16.39

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

椰子皮 · 2022年08月09日

老师,这道题为什么不考虑OTM Call的形状?volatility skew指的是Put的吗?

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