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Calculation of fed hike/cut probabilities

Posted: February 9th, 2018, 12:05 pm
by mesk
How do I calculate the probability of Fed cutting the rate using both Fed Fund Futures and OIS rates?

I have attached the Fed hike probabilities quoted on Bloomberg on the 24th of January 2018. The second column shows hike probability, while the third and fourth shows cut probability and probability of no change, respectively. 

[attachment=0]FED ssh'er 2018-01-24.PNG[/attachment]

I have figured out how to calculate the hike probability (by following ... lator.html), and since the cut probabilities are 0%, I can also calculate the no change probability by following
P(no change) = 100% - P(hike).

But if the cut wasn't 0%, the formula would be
P(cut) + P(hike) + P(no change) = 100%

Does anyone know how to calculate P(cut)?