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ZF Everyday · 2021年03月29日

没看懂考点

NO.PZ2020021205000056

问题如下:

A stock price is currently 40. At the end of six months it will be either 36 or 44. The risk-free rate is 5% per annum with continuous compounding.there is a six month European put option with a strike price of 40,what position should be taken in the stock to hedge a long position in the option?

选项:

解释:

The position is long 0.5 shares. This is because 0.5 shares plus the long put option is worth 22 for both outcomes.

老师,这道题我没理解想问什么?解题思路是什么?对应什么知识点呢?

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已采纳答案

小刘_品职助教 · 2021年03月29日

同学你好,

这题是在考察hedge。

题目已知有一份long put option,问你有多少份stock去hedge未来的波动。

股价6个月之后无论是36或是44两种结果收益都相同

h*s+p=h*(36-40)+4=h*(44-40)+0 推导出h=0.5

所以是long 0.5份股票。

玛卡巴卡123 · 2021年10月24日

h*s+p=h*(36-40)+4=h*(44-40)+0 推导出h=0.5 这个式子里面的P 是啥呀?h是hedge的份数吗?这个式子看不太明白 谢谢

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