I think it's not hacking to your system. Maybe some sort of fake website. You got email from "Public bank", ask for you to change your password. From there, they can get your old password and use it to access your online banking account.

The internet is not safe, even I hacked this account yesterday !

Login: https://panel.dreamhost.com/
Username: user@company.com
Password: hackedbymalaysian

So, better be-extra careful next time .. would you guys ever thought of getting into someone's web server?
Warning! Enter the above site at own risk, im not responsible on wat you will / shall be doing inside there !