Relative price distortions and inflation persistence

Sticky-price models often suggest that relative price distortion is a major cost of inflation. We provide an intuition for this: Even at low rates, inflation strongly affects price dispersion which in turn has an impact on the economy qualitatively similar to, and of the order of magnitude of, a negative shift in productivity. The utility cost of price dispersion is quantified and its impact on optimal monetary policy discussed. Price dispersion is incorporated into a linearised model. Strikingly, a contractionary nominal shock has a persistent, negative hump-shaped impact on inflation but may have a positive hump-shaped impact on output