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Generally, yes. But on occassions, the short term rate becomes "sticky" and the longer term rates become more volatile.

In addition, volatility is usually measured as a relativity to the rate itself. So when rates are low they "appear" more volatile. As an example, if rates are 0.10$, then a move to 0.11% is a 10% move, while the same absolute move (0.01%) when rates are 10% is only at 0.1% move.

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