Empirical data show that firms tend to improve their ranking in the productivity distribution over time. A sticky-price model with firm-level productivity growth fits this data and predicts that the optimal long-run inflation rate is positive and between 1.5% and 2% per year. In contrast, the...

Empirical data indicate that firms tend to have below-average productivity upon entry and that they tend to experience post-entry productivity growth. I present a New Keynesian model with growth in firm-specific productivity and firm turnover that captures these two phenomena. The model predicts...