Can you switch between two email accounts without shutting down your browser? (1 Viewer)

Using IE9, Windows 7 and Hotmail/Outlook email accounts.
My personal MSN account I've had for about ten years and my university account at school.
Once I open one account, I'm stuck, even when I close it. Click Hotmail and it opens right back to that account. The account doesn't really close, it's still running in the background.
The only way out is to shut down IE9, closing all browser windows and open it back up, then I get a fresh logon screen and can go to my second email account.
Is there a hidden way to shut off this "feature" so I can close MSN and get to my university account without closing everything and starting from scratch?

Hi Stan,
There should be a "Sign out" or "Log out" button/link somewhere. That ought to take you back to the login screen without having to shut everything down.