If I decided to save bitcoins in bank, how will deposit rate be changed compared to dollar or other currencies? Will it have much lower percent?
Its sad to say but there are no bitcoin banks existing online.
Wow this isn't true! There are several bitcoin banks online - Coinbase, Circle, Xapo!
OP is talking about a bank that is giving him profit and none of these have that. and besides Circle was mostly about buying bitcoin and it has stopped that too!
the best term to describe these services is "an account to hold bitcoin" and nothing more.