well, to my knowledge also does not exist. but it would be great if any bank accepted bitcoin as one of the investment tools. well, I'm sure, someday the bank will receive bitcoin.
well I think there will be very many bank profits, if received bitcoin as much as investment tool.
As far as I know there is a bank that will serve as an exchange medium from bitcoin to our local currency here in our country, but I don't know if they will accept if we open a bank account using Bitcoin us currency, the good thing is our Central bank is now recognizing bitcoin as a new form of monetary innovations in fact they are providing policy to protect Bitcoin currency operator in our country.