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dada · 2022年02月01日

概率

NO.PZ2018113001000062

问题如下:

At present, the price for the fed funds futures contract expiring after the next FOMC meeting is 97.50. The current federal funds rate target range is set between 2.20% and 2.45%.

Calculate the probability of a 25 bp interest rate hike at the next FOMC meeting:

解释:

97.50期货合约价格隐含的FFE汇率为2.50%(= 100 - 97.50)。这是市场参与者预期的当月联邦基金平均利率。

P = expected FFE rate - current federal funds rate / 25bp

= [ 2.5% - 0.5 × (2.45% + 2.20%)] / 25bp = 70%

这种题是有没有可能算出来概率大于100%的?

1 个答案

Hertz_品职助教 · 2022年02月07日

嗨,努力学习的PZer你好:


同学你好~

因为题目求解的是概率,而我们知道概率的取值范围是[0,1],所以按理说这个结果是有可能达到100%的,这个结果也是有确切的含义的,说明下一次加息的概率是100%嘛,虽然在所有的计算中没有遇到这种情况。但是因为是概率的含义,所以不会大于100%。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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