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Microsoft’s Xbox Marketing and Strategy Chief, Yusuf Mehdi, stated that the Xbox 360 “is going to go for another three years”



From WPCentral:
Mehdi later stated that:

"[Microsoft is] going to continue to invest in the Xbox 360 and the two devices (Xbox One and Xbox 360) can work in concert. It's not like the day we ship the Xbox One your 360 won't work; we'll continue to support it. In fact, we're going to ship over 100 new games on Xbox 360."
  Microsoft will keep loving your Xbox 360 with support until 2016