Money and banking in search equilibrium

We develop anew theory of money and banking based on the old story in which goldsmiths start accepting deposits for safe keeping, then their liabilities begin circulating as media of exchange, then they begin making loans. We first discuss the history. We then present a model where agents can open bank accounts and write checks. The equilibrium means of payment may be cash, checks, or both. Sometimes multiple equilibria exist. Introducing banks increases the set of parameters for which money is valued-thus, money and banking are complements. We also derive a microfounded version of the usual money multiplier.