Hello everyone,
I want to write my thesis about the stability of stablecoins and need some help with my analysis.
I want to analyse the volatility of stablecoins compared to the USD and Bitcoin.

My Null Hypothesis would be something llike "The fx-rates of stablecoins to 1. USD and 2. BTC are stable/constant over time.

What Approach could I use to test this?
Would a GARCH Model make sense?

Thank you!