As reported by the club's official website, the Englishman also has the option to extend by a further year:
Manchester United is delighted to announce that Michael Carrick has extended his contract to June 2015 with an option to extend for a further year.
Carrick, 32, signed for United in July 2006. During that time he has won five Premier League titles, one League Cup, a FIFA Club World Cup and a UEFA Champions League.
As tweeted by the Premier League champions' official account, the newly installed boss is thrilled to see Carrick put pen to paper:
Carrick wasted no time in praising his new manager and suggested the transition under Moyes has been an enjoyable experience, per the club's official report:
It is great to extend my contract at this great club. I am really enjoying my football. The club has gone through a few changes and working under David Moyes has been fantastic. I have won many trophies in my years playing here and I am looking forward to achieving more in the future.
United fans should be hugely pleased with Carrick's decision to remain at the club. He is undoubtedly the team's most important midfielder; a conductor in central areas and extremely classy distributor of possession.
The former Tottenham player enjoyed a starring role during last season's run to the Premier League title and deserves to be praised alongside Robin van Persie as the club's best performer during Sir Alex Ferguson's last season in charge.
Carrick has made 13 appearances in all competitions this campaign, according to WhoScored. Although currently sidelined with injury—per Ben Hibbs of the club's official website—he will return to starting duties as soon as his fitness prevails, which underlines his importance to the team.
While midfielders such as Tom Cleverley, Marouane Fellaini and Anderson continue to play ragged, inconsistent football, Carrick's calming presence significantly galvanises United's chance of success.
If Moyes wants to get the best out of the player in his latter years, he'll look to bring in an energetic talent during the January transfer window.
Although Carrick has never been the most mobile or attack-minded player, it would be a wise move to ensure his central partner is able to zip across the pitch as old age begins to loom.
Carrick will be heading toward 35 years old when his current deal expires, suggesting he is likely to remain at Manchester United for the rest of his career.