Washington:Kirk Cousins and a fourth-round pick
New England: 2014 second-round pick
Why would New England trade for a quarterback? Well, currently the Patriots have two quarterbacks on their roster: Tom Brady (obviously) and third-year QB Ryan Mallett. At age 36, Brady won't be taking snaps for much longer (four at most). Eventually, the Patriots will have to find an heir to the New England offense, and that most likely isn't Mallett. At Arkansas, Mallett was a good quarterback, but nothing special. Cousins is a more cerebral quarterback who could thrive under the tutelage of not only Brady but head coach Bill Belichick.
Plus, Belichick loves accumulating draft picks. He has a knack for picking up late-round talent that always seems to slip the gaze of most scouts (cough, cough, Brady). Belichick could find value in not only Cousins, but also his newly acquired fourth-round pick.
On the flipside, Washington would gain an appealing second-round pick. With no first-round picks until 2015, the Redskins will want to get as many second-round picks as they can. With this pick, they could select 6-3, 205-pound WR Jordan Matthews from Vanderbilt who is projected to go in the second round. Last season, for Vanderbilt, the senior wideout had 94 receptions, 1,323 yards, eight touchdowns and 14.1 yards per catch. Matthews provides a big and tall target for RGIII — something that the Redskins offense currently doesn't have.