December 2024 (Revised April 2025)

Substitution Bias and Fixed-Weight Price Indices in Time-Dependent Pricing Models

Lawrence J. Christiano, Martin Eichenbaum, and Benjamin K. Johannsen

Abstract:

This paper compares inflation in true price indices to inflation in fixed-weight price indices. We construct model-based inflation measures in time-dependent pricing models that are analogous to measures of inflation in the data, e.g., the Consumer Price Index. In the standard new Keynesian model, when inflation rises rapidly, the differences between inflation in those indices and true price indices are increasing in the degree of price stickiness and the elasticity of substitution across goods. For commonly used parameter values, those differences are large and persistent for increases in inflation of the size seen after 2020 in the U.S.

Keywords: Inflation, New Keynesian Model

DOI: https://doi.org/10.17016/FEDS.2024.095r1

PDF: Full Paper

Original Paper: PDF

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Last Update: April 08, 2025