开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

KKII · 2024年05月13日

答案是从put出发,为啥不能从call出发?

NO.PZ2023041003000049

问题如下:

Solomon observes that the market price of the put option in Exhibit 2 is $7.20. Lee responds that she used the historical volatility of the GPX of 24% as an input to the BSM model, and she explains the implications for the implied volatility for the GPX.

Based on Solomon’s observation about the model price and market price for the put option in Exhibit 2, the implied volatility for the GPX is most likely:

选项:

A.

less than the historical volatility.

B.

equal to the historical volatility.

C.

greater than the historical volatility.

解释:

The put is priced at $7.4890 by the BSM model when using the historical volatility input of 24%. The market price is $7.20. The BSM model overpricing suggests the implied volatility of the put must be lower than 24%.

BSM call(14.2089) < market call(14.26)


说明市场的implied volatility > 24%

2 个答案

李坏_品职助教 · 2024年07月23日

嗨,努力学习的PZer你好:


sorry, 之前我忽略了题干有一个重要条件,“Based on Solomon’s observation about the model price and market price for the put option”, 题目要求是用put option的数据来判断的。所以这道题只能用put option 来判断。


题目给的数据比较奇怪,如果用call来判断结论是相反的,确实不太合理。但是我们还是要按照题目要求来判断。



----------------------------------------------
加油吧,让我们一起遇见更好的自己!

李坏_品职助教 · 2024年05月14日

嗨,从没放弃的小努力你好:


当然可以。


如果看call option,利用历史波动率求出来的Black Model Call value是14.2089,而Market Call price是14.26,

说明用历史波动率算出来的call value< implied volatility算出来的call price。


期权的价格与波动率是正相关的,说明历史波动率<implied volatility,也就是implied volatility > 24%

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

Jimmyz · 2024年07月23日

implied volatility > 24%不就应该选C吗?

  • 2

    回答
  • 0

    关注
  • 132

    浏览
相关问题

NO.PZ2023041003000049 问题如下 Solomon observes ththe market priof theput option in Exhibit 2 is $7.20. Lee respon thshe usethe historicalvolatility of the GPX of 24% aninput to the BSM mol, anshe explains the implications for the implievolatilityfor the GPX. Basen Solomon’s observation about the mol prianmarket prifor the putoption in Exhibit 2, the implievolatility for the GPX is most likely: A.less ththe historicvolatility. B.equto the historicvolatility. C.greater ththe historicvolatility. The put is price$7.4890 the BSM molwhen using the historicvolatility input of 24%. The market priis $7.20.The BSM mol overpricing suggests the implievolatility of the put must lowerth24%. 我看其他回答说ImplieVolatility就是用当前市场的Option Value计算得出的,也就是7.2对应的volatility,但是老师强化课又用ImplieVolatility和Market Volatility去做了对比判断高低估,我有点懵,老师可以一下吗?谢谢另外可以麻烦老师看一下我这个图,能帮我看一下我理解的是否正确?里面有些错的地方吗?

2024-05-27 12:02 3 · 回答

NO.PZ2023041003000049 问题如下 Solomon observes ththe market priof theput option in Exhibit 2 is $7.20. Lee respon thshe usethe historicalvolatility of the GPX of 24% aninput to the BSM mol, anshe explains the implications for the implievolatilityfor the GPX. Basen Solomon’s observation about the mol prianmarket prifor the putoption in Exhibit 2, the implievolatility for the GPX is most likely: A.less ththe historicvolatility. B.equto the historicvolatility. C.greater ththe historicvolatility. The put is price$7.4890 the BSM molwhen using the historicvolatility input of 24%. The market priis $7.20.The BSM mol overpricing suggests the implievolatility of the put must lowerth24%. 根据强化课,我记得笔记是如果implie波动率小于市场波动率则buy option 反之则sell。但是这道题将BSM中的波动率称作historical,将市场的称作为implie,,所以implie到底是指bsm模型中输入的波动率还是市场价格中隐含的波动率呀?

2024-04-11 20:11 1 · 回答