Both answers are right. Microsoft will stop support on January 12, 2015. But the company will keep providing support until January 14, 2020.
"Well, thank you," you're probably saying. "That's as clear as a new industry acronym."
Let me explain:
Through January 12, 2015, Microsoft will provide the same complete support you have today. You'll receive both security and non-security updates. Your warranty claims will be considered and possibly honored. If your license came with no-charge incident support (yes, it exists), you'll continue to receive it. Microsoft may even add features and change the design (but not, I hope, removing the Start menu).