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粗眉毛辣椒油 · 2024年04月01日

解题过程

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.

请问能否给出解题过程 这个是哪个知识点

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品职答疑小助手雍 · 2024年04月02日

同学你好,这个算是个common sense了,课上老师肯定讲解的时候说过,所以一定要记一下,深度ITM的put的delta无限接近-1,深度OTM的put的detla趋近于0。这个put option基础资产价格是40,执行价格也是40,他就是一个ATM的状态,所以delta对于long put来说就算-0.5。

delta是-0.5所以每个期权需要long 0.5个股票来对冲。

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NO.PZ2020021205000056问题如下A stopriis currently 40. the enof six months it will either 36 or 44. The risk-free rate is 5% per annum with continuous compounng.there is a six month Europeput option with a strike priof 40,whposition shoultaken in the stoto hee a long position in the option?The position is long 0.5 shares. This is because 0.5 shares plus the long put option is worth 22 for both outcomes.1.可以用平值put期权的lta=-0.5直接得出吗?2.lta是-0.5为什么对应longstock,经济学意义我能理解,数学含义怎么理解?

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