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.Concrete is a popular, durable and relatively low-maintenance choice for paving a driveway.