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倩倩加油鸭 · 2023年01月26日

能麻烦老师解答一下这三个选项么,谢谢

* 问题详情,请 查看题干

NO.PZ202208100100000203

问题如下:

In his statement to Calzada, Armitage is least likely correct with regard to:

选项:

A.

delta hedging.

B.a short risk reversal trade. C.

long risk reversal.

解释:

Solution

B is correct. Exhibit 2 depicts a volatility skew in which implied volatility increases for out-of-the-money (OTM) put options and decreases for OTM call options. A volatility smile occurs when the curve is U-shaped––that is, implied volatility increases for OTM puts and calls.

C is incorrect. Armitage is correct about the long risk reversal strategy of selling the OTM put and buying the OTM call if the put implied volatility is considered to be too high compared with the call implied volatility.

A is incorrect. Armitage is correct about delta hedging the option position by selling the underlying asset.

如题

2 个答案
已采纳答案

Hertz_品职助教 · 2023年01月27日

嗨,努力学习的PZer你好:


同学你好

中文解析:

本题考察的是volatility skew,risk reversal以及delta hedge。

先看B选项:

在volatility smile或者volatility skew的图形中,横坐标是执行价格,纵坐标是隐含波动率。

根据ATM一列,可以得到当前股价是17.60,此时的隐含波动率认为是100%(表格中省略)。

对于put option来说:执行价格为26.31和执行价格为22.40时,都是ITM的。

且执行价格越高(26.31),越deep ITM,其隐含波动率越低(80%)。

对于call option来说:执行价格为15.54和14.65都是OTM的,且执行价格越低(14.65),越 deep OTM,其隐含波动率越高(120%)。

综上:对于ITM 的put option,隐含波动率随着执行价格的升高而下降;对于OTM的call option,隐含波动率随着执行价格的升高而降低的,符合的是volatility skew图形。

C选项:

当put option的隐含波动率相比于call option的隐含波动率被高估时,意味着put option的价格相比于call option被高估,因此可以卖出put option,买进call option。Long risk reversal = long call + short put,因此C选项没有问题。另,short risk reversal = long put + short call。

A选项:

调整手里头寸的delta通过交易股票来实现,这里题干说的不是很清楚,因为是否是卖股票,要看手里的头寸的delta以及想要达到的目标delta值来判断,这里就把题干的意思理解为可以通过买卖股票来调节delta即可,因为关于volatility smile的判断是明显错误的。

(本题出的不是很好,建议了解即可)

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

倩倩加油鸭 · 2023年01月27日

谢谢您的回复,新年快乐

Yiyun · 2024年06月06日

老师,你说错了这个表里的数据 应该是: 90%和80% 表示 K/S 而26.3表示隐含波动率

Hertz_品职助教 · 2023年01月28日

嗨,爱思考的PZer你好:


不客气哈~

祝新春快乐~学习顺利,三级必过!

----------------------------------------------
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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