The invention relates to an implantable endoluminal prosthesis and a method of using such devices for treatment of a valve dysfunction involving ascending aneurysm. The prosthesis is designed for deployment from the aortic annulus to the aorta. It comprises a self-expandable braided framework able to expand from a radially compressed state in a delivery configuration to a radially expanded state. This framework is formed of braided wires and has a proximal end configured to extend toward the heart and a distal end configured to extent toward away from the heart. The self-expandable braided framework extends along an axis. The framework has a main tubular body of cylindrical form of circular cross-section and at a distal end, a neck the diameter of which is smaller than the one of the self-expandable braided framework, and a transition portion extending between the proximal end of the main tubular body and the distal end of the neck. The main tubular body, said neck and said transition portion form an integrated structure devoid of any impermeable cover layer. The prosthesis further is fitted with a radially collapsible valve body made out of an impermeable material placed within the lumen of the neck.