We investigate the quantitative implications of precautionary demand for money for business cycle dynamics of velocity of money and other nominal ag-gregates. There is a standing challenge in monetary macroeconomics to account for such dynamics, as previous business cycle models that have tried to incor-porate demand for money have failed to generate realistic predictions in this regard. Our stance is that part of this failure results from the fact that de-mand for money in those previous models is deterministic, since agents in them face only aggregate risk, whereas we believe idiosyncratic risk to be important as well. We conduct the exercise inside a stochastic cash-credit good model, where cash-good consumption is subject to idiosyncrat...