1 A stamped asphalt pattern (typically in the shape of bricks or stones) on a new or existing asphalt driveway can cost $3 -$9 a square foot, or $900 -$2,700 for 12'x25' or $3,600 -$11,000 for 24'x50' for just the stamping. An asphalt driveway costs about $2 -$5 a square foot, or $1,200 -$3,000 for 12'x50' to $31,000 -$75,000 for a 12' lane a quarter mile long.