An assembly includes a prosthetic heart valve and a delivery apparatus for implanting the prosthetic heart valve within the native aortic valve of a patient. The prosthetic heart valve has a radially compressible and expandable metallic stent and a flexible valvular structure mounted within the stent. The delivery apparatus has a handle, a first shaft having a proximal end portion and a distal end portion, a second shaft extending co-axially through the first shaft and having a proximal end portion and a distal end portion, the proximal end portions of the first and second shafts extending distally from the handle, a valve cover coupled to the distal end portion of the first shaft, and a nose piece coupled to the distal end portion of the second shaft.