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Brian邵彬 · 2024年11月15日

计算问题

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.

想问一下,在计算这类题的时候,每步计算要保留几位小数?

1 个答案

pzqa39 · 2024年11月15日

嗨,爱思考的PZer你好:


同学你好,这道题put option基础资产价格是40,执行价格也是40,他是一个ATM的状态,所以delta对于long put来说就算-0.5。考的是hedge,不涉及保留几位小数的问题。


同学是不是想问二叉树和BSM进行定价的时候该保留几位小数呀,那肯定是保留得越多越准确,一般保留三四位小数就足够判断出答案了。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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