Asteroid 16 Psyche, the largest M-type asteroid, is widely considered to be the collisionally exposed core of an ~500-km diameter differentiated parent body which was similar to asteroid 4 Vesta. However, there is no dynamical family associated with Psyche nor are there spectroscopic data for the existence of the mantle or crustal material from the parent body. The usual explanation for the missing material requires that the Psyche parent body was collisionally disrupted early in solar system history, followed by collisional grinding of the family down to below the current observational limit sizes. We test the exposed core hypothesis for the origin of Psyche using a numerical code that simultaneously calculates both the collisional evoluti...