On income velocity of money, precautionary money demand and growth

A stochastic growth model with money introduced via a cash-in-advance constraint is used to analyze the behavior of the income velocity of real monetary balances and money demand. Agents can purchase consumption goods only using government issued money. The cash-in-advance constraint may become nonbinding because of the uncertainty about the realization of the state of the economy. We find that the precautionary money demand may introduce significant changes into the volatility of the income velocity if it happens almost always. Its presence can also alter the relationship between the average growth rate of money supply and the average growth rate of the economy.