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坏呼呼嘿嘿 · 2023年05月28日

请问risk reversial 怎么解释

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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。

如题

1 个答案

lynn_品职助教 · 2023年05月29日

嗨,爱思考的PZer你好:


risk reversal也是策略之一,由卖出一个看跌期权和买入一个看涨期权组成,教材上讲的是collar,如下图


这道题A不正确,是因为RR是一种 delta 对冲的交易策略,从看涨和看跌期权的相对波动性变化中获利。而这道题却是在关注OTM、ATM时的区别。

要注意,RR和collar还是有一些细节上的区别。


(1)collar是在默认持有现货头寸(long stock)的基础上-C +P(long put+ short call),教材中对于collar和risk reversal的描述直接是-C+P。下面是教材中中相关的表述:



(2)但严格意义上collar并不等同于risk reversal。

一是collar相比于risk reversal包含了现货头寸;二是risk reversal策略其实long risk reversal 和short risk reversal。Collar是在long stock的头寸上加入了 short risk reversal

① long risk reversal=long call + short put,它和short underlying一起使用。

② short risk reversal=long put +short call。教材上没有明确区分long/short risk reversal,也没有对collar和risk reversal进行明确地区分,但我们要注意collar相比于short risk reversal是多了一个现货头寸的,并不是等同的。


(3)考试中如果遇到比较collar和risk reversal的题目,则二者是不同的,需要严格区分。

若在题目中给信息时给到collar和risk reversal是一样的,则也是符合教材定义的,不用纠结。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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