Endogenous Search, Price Dispersion, and Welfare

This paper studies the welfare cost of inflation in a frictional monetary economy with endogenous price dispersion, which is generated by sellers posting prices and buyers costly searching for low prices. We identify three channels through which inflation affects welfare. The interaction of real balance channel and price posting channel generates a welfare cost, at 10% annual inflation, equal to 3.23% of steady state consumption; if either channel is shut down, the welfare cost decreases to less than 0.15%. Search channel reduces welfare cost by more than 50%. The aggregate effect of inflation on welfare is nonmonotonic.