of your Computer
Security wise, this is the least of the problems. If your passwords are not on your computer, there's no problem. If your passwords are properly encrypted in something like WebM8 and you've chosen a safe password, there's still no problem, but why take a chance?
Stolen computers do get examined and can you really be sure that your password isn't there somewhere? Time is on your side. If your computer is stolen, phone your bank and cancel your online account. It's easily reinstated when you get your new PC.