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水瓶公主 · 2023年03月01日

delta的计算

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?

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.

这道题的delta=-0.5是吗?

2 个答案

DD仔_品职助教 · 2023年03月04日

嗨,爱思考的PZer你好:


同学你好,

是的,delta就是hedge ratio,因为这道题是put option,对于put而言,delta是负数,所以是-0.5。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

DD仔_品职助教 · 2023年03月04日

嗨,爱思考的PZer你好:


同学你好,

是的,delta就是hedge ratio,因为这道题是put option,对于put而言,delta是负数,所以是-0.5。

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加油吧,让我们一起遇见更好的自己!

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