The present embodiments provide a medical device for implantation in a patient-comprising a stent and a valve. The stent comprises a proximal region comprising a cylindrical shape having a first outer diameter in an expanded state, and a distal region comprising a cylindrical shape having a second outer diameter in the expanded state. The second outer diameter is greater than the first outer diameter. A proximal region of the valve is at least partially positioned within the proximal region of the stent, and the distal region of the valve is at least partially positioned within one of tapered and distal regions of the stent. When implanted, the proximal region of the stent and the proximal region of the valve are aligned with a native valve, and the distal region of the valve is distally spaced-apart from the native valve.