Someone somewhere will try it on. It is your job as a boss to keep it from happening to your institution. People have placed trust in you to protect and serve. Of course if you are in the field of IT, safeguard yourself against becoming a scapegoat. Document your efforts to allow data recovery in the event that deliberate fraud or a legitimate system crash occurs.
Ignorance always seems to be a good excuse for disaster.
I am just a simple director of a company. I have never touched a computer in my life. Pass around a circular to all relevant employees and have them sign it. This includes the very top levels of management. Quick fixes are available for most systems that are Y2K ready but do not roll from 1999 to 2000 automatically.