A power boat having an improved hull including concave aft sections, and which hull is capable of operations at a wide range of speeds with low relative horsepower for vessel weight and improved fuel economy is disclosed. In one exemplary embodiment, the boat is a 38 foot power boat having an improved hull which can achieve speeds of up to about 18 knots, with a 200 hp engine and which burns about 10 gals. per hour. The hull preferably includes a negative deadrise angle at the aft sections, the deadrise angle being positive at the bow and transitioning to a negative angle at the aft sections of the hull.