We consider a monetary growth model in which banks arise to provide liquidity. In addition, there is a government that issues not only money, but interest-bearing bonds: these bonds compete with capital in private portfolios. When the government fixes a constant growth rate for the money stock, we show that there can exist multiple nontrivial monetary steady states. One of these steady states is a saddle, while the other can be a sink. Paths approaching these steady states can display damped endogenous fluctuations, and development trap phenomena are common. Across different steady states, low capital stocks are associated with high nominal interest rates; the latter signal the comparative inefficiency of the financial system. Also, increase in the steady state inflation rate can easily reduce the steady state capital stock.
This article presents a monetary growth model where spatial separation and limited communication create a role for banks. Monetary policy interacts with the financial system's liquidity provision to affect the existence, multiplicity, and dynamical properties of equilibria. Moderate levels of risk aversion and tight monetary policy can lead to multiple steady states. Dynamical equilibria can be indeterminate, with oscillatory paths. Thus financial market frictions are a source of indeterminacies and endogenous volatility. Under plausible conditions, tight monetary policy raises the nominal interest rate and inflation rate and reduces long run output. Thus, a central bank's liquidity provision can promote growth.
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