I don't think that banks will ever start accepting bitcoins in future as its an threat to them and its an tough competition to the banking system and they might start adopting blockchain technology in future but they will never support bitcoins for sure and when it comes to saving bitcoins then its better to save them in bitcoin wallet instead of saving in banks as you will get better results by selling them when price goes higher in future.
It is true that banks are not yet accepting bitcoin as an investment to them, but there is a bank here in our country(Philippines) which is the Central bank of the Philippines which is accepting bitcoin as a payment on every transactions that are going to be make to them by their clients or customer. Click the link to read the article.
https://bravenewcoin.com/news/the-philippines-central-bank-approves-new-bitcoin-exchange-regulation.
And I know soon, banks will accept bitcoin as an investment.
It's very interesting news.
I know that in my country, Croatia, banks didn't accept bitcoin yet.
So, we can't use bitcoin as investment or for payment.
Some merchants, a few of them, accepts bitcoin for payments but they have to exchange such funds to Croatian currency righrt away.
They can't report income in bitcoins.
So, no way that we can officially use bitcoin for payments, investments or as financial assets.
We still have to keep our bitcoin funds in the wallets.