  We apply our novel Markov-chain Monte Carlo (MCMC)-based algorithm for
asteroid mass estimation to asteroid (16) Psyche, the target of NASA's
eponymous Psyche mission, based on close encounters with 10 different
asteroids, and obtain a mass of $(1.117 \pm 0.039) \times 10^{-11} $ solar
masses. We ensure that our method works as expected by applying it to asteroids
(1) Ceres and (4) Vesta, and find that the results are in agreement with the
very accurate mass estimates for these bodies obtained by the Dawn mission. We
then combine our mass estimate for Psyche with the most recent volume estimate
to compute the corresponding bulk density as $(3.88 \pm 0.25)$ g/cm$^3$. The
estimated bulk density rules out the possibility of Psyche being an exposed,
solid iron core of a protoplanet, but is fully consistent with the recent
hypothesis that ferrovolcanism would have occurred on Psyche.
