Why do people always insist on looking at these things as money coming off the books and working backwards as opposed to keeping a running total of what's on the payroll?! In 2014, we already have 75 million tied up Sabathia, Rodriguez, and Teixeira. If Jeter's option is picked up, that becomes 80 million. Rivera is coming back next season (Yankee for life) at probably 15 million dollars again. 95.
Now you need to allocate around 15 million dollars to fill out the back end of the 40 man roster and player benefits and what not. 110.
Let's ignore the "other free agent" thing, and focus on the Cano and Granderson thing for a second. It's going to take you 40 million minimum (and it'll be a LOT more than that, but for argument's sake) per year to get those guys signed. 150.
Gotta factor in a Rodriguez milestone bonus..156.
You have 33 million dollars left to work with, and your team currently has no catcher, no DH, one outfielder, one starting pitcher, and one bullpen guy. Judging by the likely arbitration numbers, Cano and Granderson (even without Swisher) doesn't even really look possible.