Nonlinear Unemployment Effects of the Inflation Tax

We argue that long-run inflation has nonlinear and state-dependent effects on unemployment, output, and welfare. Using panel data from the OECD, we document three correlations. First, there is a positive long-run relationship between anticipated inflation and unemployment. Second, there is also a positive correlation between anticipated inflation and unemployment volatility. Third, the long-run inflation-unemployment relationship is not only positive, but also stronger when unemployment is higher. We show that these correlations arise in a standard monetary search model with two shocks – productivity and monetary – and frictions in labor and goods markets. Inflation lowers the surplus from a worker-firm match, in turn making it sensitive to productivity shocks or to further increases in inflation. We calibrate the model to match the U.S. postwar labor market and monetary data, and show that it is consistent with observed cross-country correlations. The model implies that the welfare cost of inflation is nonlinear in the level of inflation and is amplified by the presence of aggregate shocks.

Frictional Goods Markets: Theory and Applications

We analyse dynamic general equilibrium models with more-or-less directed search by informed buyers and random search by uninformed buyers. This nests existing specifications and generates new insights. A quantitative application concerns the welfare cost of inflation, which is known to be quite high with pure random search and low with pure directed search. Our calibration implies the impact of inflation is fairly low, in part because, in addition to the usual costs, it provides benefits by more heavily taxing high-price sellers that inefficiently profit from exploiting the uninformed. Other applications analyse analytically and numerically changes in credit conditions and information.

Welfare cost of inflation in Brazil: an approach with time-varying cointegration and Kalman filter

This paper compares the time-varying cointegration and the Kalman filter techniques to estimate the Brazilian money demand between 1996 and 2015. The estimation using Kalman filtering performs better and is subsequently used to calculate the welfare cost of inflation. Taking into consideration the time variability of the interest-rate elasticity during the period, the average welfare cost amounts to 0.24% of the GDP, for an average annual inflation of 6.63%.

The welfare cost of inflation with banking time

The paper presents the welfare cost of inflation in a banking time economy that models exchange credit through a bank production approach. The estimate of welfare cost uses fundamental parameters of utility and production technologies. It is compared to a cash-only economy, and a [Lucas, Robert Jr. E. 2000. “Inflation and Welfare.” Econometrica 68 (2): 247–274.] shopping economy without leisure, as special cases. The paper estimates the welfare cost of a 10% inflation rate instead of zero, for comparison to other estimates, as well as the cost of a 2% inflation rate instead of a zero inflation rate. A zero rate is statutorily specified as the US inflation rate target in the 1978 Employment Act amendments. The paper provides a conservative welfare cost estimate of 2% inflation instead of zero at $33 billion a year. Estimates of the percent of government expenditure that can be financed through a 2% vs. zero inflation rate are also provided.