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Ruthlessbaby · 2020年10月15日

问一道题:NO.PZ2017121101000013 [ CFA III ]

问题如下:

Sarah Ko, a private wealth adviser in Singapore, is developing a short- term interest rate forecast for her private wealth clients who have holdings in the US fixed-income markets. Ko needs to understand current market expectations for possible upcoming central bank (i.e., US Federal Reserve Board) rate actions. The current price for the fed funds futures contract expiring after the next FOMC meeting is 97.175. The current federal funds rate target range is set between 2.50% and 2.75%.

Explain how Ko can use this information to understand potential movements in the current federal funds rate.

解释:

First, Ko knows that the FFE rate implied by the futures contract price of 97.175 is 2.825% (= 100 – 97.175). This is the rate that market participants expect to be the average federal funds rate for that month.

Second, Ko should determine the probability of a rate change. She knows the 2.825% FFE rate implied by the futures signals a fairly high chance that the FOMC will increase rates by 25 bps from its current target range of 2.50%–2.75% to the new target range of 2.75%–3.00%. She calculates the probability of a rate hike as follows:

(2.825%-2.625%)/(2.875%-2.625%)=0.80 or 80%

Ko can now incorporate this probability of a Fed rate hike into her forecast of short-term US interest rates.

rang为什么提高了25BP?
2 个答案

Hertz_品职助教 · 2021年10月13日

嗨,爱思考的PZer你好:


@Meixf

同学你好~

(2.825%-2.625%)/(2.875%-2.625%)=0.80 or 80%,这个式子中的2.625%是当前范围的一个平均水平,对应原文“current target range of 2.50%–2.75%”;而2.875%是目标范围的一个平均水平,对应原文“ the new target range of 2.75%–3.00%”。

其实在上面这个公式中的分母可以直接写25Bp即可。因为美联储每次降息或者降息的幅度都是25bp,因此可以不用这么麻烦的计算各自的平均然后再相减,考试的时候直接写25也是没有问题的哈

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努力的时光都是限量版,加油!

xiaowan_品职助教 · 2020年10月16日

嗨,努力学习的PZer你好:


同学你好,

因为我们教材有这样一个假设,美联储每次加息或降息都是25pbs,所以用25这个数字。

前面由futures的报价看到市场预期利率上升,这个题计算的是美联储加息25bps的概率。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!


Meixf · 2021年10月12日

请问(2.825%-2.625%)/(2.875%-2.625%) 里面的2.875%和2.625%是怎么来的?

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