I have 5 bank accounts and you can see, based on the login method, how modern a banking software is.
There is a ton of potential just not be used at all.
Even without much change at the original banking software layer, putting a modern analysis tool upfront would make a huge difference. Just imagine having a secured mobile app which has limited permissions but allows you to perform a few basic things like checking your balance or transfering small amounts of money.
Or just a web ui which doesn't suck. If it doesn't suck, how about income analysis?