"We study the long-run relation between money, measured by inflation or interest rates, and unemployment. We first discuss data, documenting a strong positive relation between the variables at low frequencies. We then develop a framework where both money and unemployment are modeled using...

"Post-1980 U.S. data trace out a stable long-run money demand relationship of Cagan's semi-log form between the M1-income ratio and the nominal interest rate, with an interest semi-elasticity below 2. Integrating under this money demand curve yields estimates of the welfare costs of modest...

In the canonical monetary policy model, money is endogenous to the optimal path for interest rates and output. But when liquidity provision by banks dominates the demand for transactions money from the real economy, money is likely to contain information for future output and inflation because...