The options on Cano and Granderson are worth $15 million each, while Aardsma's option is worth $500,000. None of the three choices were considered to be especially surprising decisions for the Yankees.
Cano batted .313 with a career-high 33 home runs and 94 RBIs in 161 regular-season games before fading in the postseason as the Yankees were swept in four games by the Tigers in the American League Championship Series.
The 30-year-old Cano has compiled eight straight seasons of at least 150 hits to begin his career. According to the Elias Sports Bureau, it marks the longest streak for a second baseman since the Cubs' Ryne Sandberg did so in 10 straight seasons beginning in 1983.
Granderson led the Yankees with his career-high 43 home runs during the regular season, batting .232 with 102 runs scored and 106 RBIs in 160 games. He also set a new Yankees franchise record with 195 strikeouts, surpassing his own club record of 169 set in 2011.
The 31-year-old Granderson leads the Major Leagues with 84 home runs since the start of the 2011 season and is just the third Yankees player to record consecutive seasons (2011-12) with at least 100 runs, 40 homers and 100 RBIs, joining Babe Ruth and Lou Gehrig.
Aardsma, 30, appeared in one September game for the Yankees after spending most of the season recovering from Tommy John surgery. The former big league closer could figure prominently in the Yankees' bullpen plans next season.
The Yankees are expected to consider contract extensions for Cano and Granderson at some point in the future.