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. 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.