Look at the price of an option of 10 year gvmt bonds

The price of the short is determined by two factors (a) pay-off and (b) prob. Of pay-off.

You know the pay-off so can work backwards from the price of the short and estimate the markets expected prob. of the short being in the money.

I m not sure tbh because I m in healthcare but given no one else has answered thought I d shoot

 

To be analytically correct, you should be looking at OIS swap spreads and/or fed funds futures. You can then use that pricing to assess probability. 
 

for example, if SOFR is 2% and the OIS swap spread through next week is 2.83%, then 3+ hikes are priced for next week. And the market is saying there is a 68% chance of 75bps and 32% of 4 hikes (because 2.83 is 32% of the way from 2.75% to 3.00%). 
 

 

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