As someone else said - switching banks is work. In addition, if you have your credit cards with the bank and wish to change those your credit score will take a hit. The length of current accounts impacts FICO. Just ignore the guy, or go to another branch if that is an option. Annuities = commissions for the sellers. With the higher interest environment that is likely coming up, locking you in to a low % investment as rates rise would be great for the bank.
Exactly.