In general, there are two options for development:
1) The goal of the same banks is to exclude cash payment from circulation, for this banks will use BITCOIN in the future, because even now BITCOIN provides banks with a service that people eliminate cash in favor of bitcoin. The main reason here is that BITCOIN is more manageable than cash, because BITCOIN always leaves its mark on the network, while cash is more difficult to track.
2) The use of BITCOIN by banks in order to withdraw money from a person, according to the principle of a financial bubble.

Moreover, it is more possible to develop these two scenarios together.