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Consistent Evidence on Duration Dependence of Price Changes

Fernando Alvarez, Katarína Borovičková, Robert Shimer

American Economic Review · 2025 · Volume 115 · Issue 10

DOI: 10.1257/aer.20211317

Abstract

We develop a linear GMM estimator of the discrete-time mixed proportional hazard (MPH) model of duration with an arbitrary distribution of unobserved heterogeneity. We allow for competing risks, observable characteristics, and censoring. We prove our estimator is consistent and apply it to the duration of price spells. We find substantial unobserved heterogeneity with economically meaningful implications for the response of output to a monetary policy shock in a model with time-dependent pricing rules and for the degree of state dependence in a model of price plans.

Keywords

Single Equation Models, Single Variables: Truncated and Censored Models, Switching Regression Models, Threshold Regression Models, Duration Analysis, Optimal Timing Strategies, Macroeconomics: Production, Price Level, Inflation, Deflation, Monetary Policy, Production, Pricing, and Market Structure, Size Distribution of Firms

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