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八月必过 · 2022年03月06日

不是应该用standard deviation吗

NO.PZ2016082404000018

问题如下:

A firm is going to buy 10,000 barrels of West Texas Intermediate Crude Oil. It plans to hedge the purchase using the Brent Crude Oil futures contract. The correlation between the spot and futures prices is 0.72. The volatility of the spot price is 0.35 per year. The volatility of the Brent Crude Oil futures price is 0.27 per year. What is the hedge ratio for the firm?

选项:

A.

  0.9333

B.

  0.5554

C.

  0.8198

D.

  1.2099

解释:

ANSWER: A

The optimal hedge ratio is      βsf=ρsfσSσF=0.72×0.350.27=0.933.\beta_{sf}=\rho_{sf}\frac{\sigma_S}{\sigma_F}=0.72\times\frac{0.35}{0.27}=0.933..

不是应该用standard deviation吗 volatility开根号

1 个答案

李坏_品职助教 · 2022年03月06日

嗨,爱思考的PZer你好:


首先volatility就是standard deviation,不用再开根号。你说的需要开根号的那个叫variance,那是方差。

计算公式要用到基础班讲义P145的知识点:

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虽然现在很辛苦,但努力过的感觉真的很好,加油!