Embodiments of a balloon assembly are disclosed. The balloon assembly can include an inflatable balloon having an inflated state and a deflated state. The balloon in the deflated state can include a valve retaining portion, a distal tapered portion connected to a distal end of the valve retaining portion, a proximal tapered portion connected to a proximal end of the valve retaining portion, a distal leg connected to the distal end of the distal tapered portion, and a proximal leg connected to the proximal end of the proximal tapered portion. The distal tapered portion can include one or more axial folds. The proximal end of the distal tapered portion can include a first radial fold connected to a second radial fold, the first and second radial folds forming a pocket extending distally at the proximal end of the distal tapered portion.