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mushkc · 2023年06月16日

probability of rate hike

NO.PZ2017121101000013

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.

选项:

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.

中文解析:

97.175期货合约价格隐含的FFE汇率为2.825%(= 100 - 97.175)。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

= [ 2.825% - 1/2(2.5%+ 2.75%) ] / 25bp =0.80

如果market implied interest rate高于fed target rate, 应该是rate drop 而不是rate hike吧?

market rate应该是朝着target的方向去?

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pzqa31 · 2023年06月16日

嗨,爱思考的PZer你好:


同学,还是要透彻理解一下这个公式的含义:

这个公式求得是美联储下一次开会的时候加息或者降息的概率。其中分子是用Fed Funds futures隐含的FFR减掉当前的target水平。其中futures隐含的FFR水平,就是投资者预期下一次美联储开会的时候市场上的利率水平。式子的含义是,投资者认为下一次开会的时候利率会由现在的target水平变为futures隐含的FFR水平,这种情况下美联储加息或者降息的概率是多少。比方说futures隐含的FFR是3%,当前的target水平是低于3%的一个值。我们求出来的概率是90%,这说明美联储下一次开会的时候向市场预期的3%的水平加息的概率是90%。

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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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