Embodiments hereof relate to methods of delivering a valve prosthesis to an annulus of a native valve of a heart. A valve delivery system is introduced into a ventricle of the heart via a ventricular wall of the heart. The valve delivery system has a displacement component (1830) at the distal portion thereof. The valve prosthesis (101) is in a delivery configuration and the displacement component is in a delivery state in which the displacement component has a first outer diameter. While the valve prosthesis is in the delivery configuration, the displacement component of the valve delivery system is radially expanded into an expanded state in which the displacement component has a second outer diameter greater than the first outer diameter. The valve delivery system is advanced towards the annulus of the native valve of the heart with the displacement component in the expanded state to displace chordae tendineae.
