A ball bearing and housing assembly includes a shaft having a stepped bore extending therethrough. The stepped bore is defined by a first bore segment having an inboard cylindrical interior surface that has a first bore diameter. The first bore segment extends from a shaft end and terminates at a shoulder. The shoulder is axially located between a first radial centerline of a plurality of balls and an inner axial end. The stepped bore is further defined by a second bore segment having an outboard cylindrical interior surface that has second bore diameter. The second bore segment extends axially from the inner axial end towards the shaft end and terminates at the shoulder. The second bore diameter is greater than the first bore diameter. A fastener is fitted through the first bore segment and threaded into a housing.