The recent Heartbleed vulnerability has brought this to light again. You should use a different password for each financial website you access. By doing this, if a password is compromised on one website, it will not be used to gain access to another website. This article from Wired magazine is a good example of why you should use different passwords: http://www.wired.com/2012/08/apple-amazon-mat-honan-hacking/all/