A prosthetic valve assembly can include a radially expandable stent. The stent can include a first expandable annular portion that is configured, in an expanded state, to bear against a wall of a native body lumen, a second expandable annular portion that is configured, in an expanded state, to bear against a wall of a native body lumen. The stent can also include a plurality of rods extending between the first annular portion and the second annular portion. The prosthetic valve assembly can further include an implantable prosthetic valve mounted to the stent such that the valve is between the first annular portion and the second annular portion. The prosthetic valve assembly is configured to be delivered by catheterization.