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youtkr · 2023年08月18日

如果隐含利率更小,probability算出来是负数是什么意思?

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

如题

1 个答案

pzqa31 · 2023年08月20日

嗨,努力学习的PZer你好:


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

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。


如果算出来是负数就代表要降息。

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努力的时光都是限量版,加油!

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NO.PZ2017121101000013 问题如下 SarKo, a private wealth aiser in Singapore, is veloping a short- term interest rate forecast for her private wealth clients who have holngs in the US fixeincome markets. Ko nee to unrstancurrent market expectations for possible upcoming centrbank (i.e., US FerReserve Boar rate actions. The current prifor the fefun futures contraexpiring after the next FOMC meeting is 97.175. The current ferfun rate target range is set between 2.50% an2.75%.Explain how Ko cuse this information to unrstanpotentimovements in the current ferfun rate. First, Ko knows ththe FFE rate impliethe futures contrapriof 97.175 is 2.825% (= 100 – 97.175). This is the rate thmarket participants expeto the average ferfun rate for thmonth.Secon Ko shoultermine the probability of a rate change. She knows the 2.825% FFE rate impliethe futures signals a fairly high chanththe FOMC will increase rates 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 follows:(2.825%-2.625%)/(2.875%-2.625%)=0.80 or 80%Ko cnow incorporate this probability of a Ferate 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 = expecteFFE rate - current ferfun rate / 25 = [ 2.825% - 1/2(2.5%+ 2.75%) ] / 25=0.80 the FOMC will increase rates 25 bps from its current target range of 2.50%–2.75% to the new target range of 2.75%–3.00%,请问the new target range of 2.75%–3.00%是怎么得出的?

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