A stented valve having at least one leaflet made of pericardium or other material having a relatively thin profile at the annulus. The leaflets are attached via chords to a stent frame, where the chords are positioned to mimic the native valve anatomy and functionality. In particular, the valves of one exemplary embodiment of the invention are sized to replace a mitral valve and therefore the chords are arranged to prevent prolapse of the leaflets into the atrium. The stented valve has a relatively short height at its annulus due to the positioning of the chords. In addition, the stented valve is capable of being crimped to a small enough size that it can be delivered to the implantation site via transcatheter delivery systems and methods.