A method of treating a native aortic valve insufficiency includes positioning the closed ends of a stent's three first arches within respective native valve pockets such that the closed ends engage the respective native valve pockets. The method further includes clamping three native valve leaflets between the three first arches and the three second arches such that the three native valve leaflets are disposed radially inward of the three first arches and radially outward of the three second arches.
