I have not had the largest confidence in banks abilities to understand security. I've personally dealt with:

1) 'Two factor auth is on, you have to answer two security questions to access your account!' 2) 'Your password is limited to exactly 8 characters ... for security' 3) 'Oh, we now support SMS two factor auth' -- 4 months in, I've received 1 SMS challenge 4) 'You don't want a chip card, they are more hassle' 5) 'We allow systems like Mint to access your account when you have 2 factor auth on. No, you cannot opt out.'

Yeah, don't have the highest confidence that my bank(s) actually understand how to keep things safe.