A device is described for endovascularly replacing a heart valve of a patient. The replacement heart valve system comprising: an anchor having a collapsed delivery configuration and an expanded deployed configuration and a replacement valve having a valve height and being supported within the anchor such that the valve height is substantially the same in the anchors delivery and deployed configurations. The anchor may be made from an expandable braid. In some embodiments, the apparatus further includes one or more locks configured to maintain expansion of the braid.