@TechReport{iza:izadps:dp4559, author={Janiak, Alexandre and Monteiro, Paulo Santos}, title={Inflation and Welfare in Long-Run Equilibrium with Firm Dynamics}, year={2009}, month={Nov}, institution={Institute of Labor Economics (IZA)}, address={Bonn}, type={IZA Discussion Paper}, number={4559}, url={https://www.iza.org/publications/dp4559}, abstract={We analyze the welfare cost of inflation in a model with cash-in-advance constraints and an endogenous distribution of establishments' productivities. Inflation distorts aggregate productivity through firm entry dynamics. The model is calibrated to the United States economy and the long-run equilibrium properties are compared at low and high inflation. We find that, when the period over which the cash-in-advance constraint is binding is one quarter, an annual inflation rate of 10 percent leads to a decrease in the steady-state average productivity of roughly 0.5 percent compared to the optimum's steady-state. This decrease in productivity is not innocuous: it leads to a doubling of the welfare cost of inflation.}, keywords={inflation;productivity;firm dynamics;welfare}, }