Retrospective Computations of Price Index Numbers: Theory and Application

Ludwig von Auer and Alena Shumskikh

Review of Income and Wealth, 2024, vol. 70, issue 1, 60-79

Abstract: Due to outdated weighting information, a Laspeyres‐based consumer price index (CPI) is prone to accumulating upward bias. Therefore, the present study introduces and examines simple and transparent revision approaches that retrospectively address the source of the bias. They provide a consistent long‐run time series of the CPI and require no additional information. Furthermore, a coherent decomposition of the bias into the contributions of individual product groups is developed. In a case study, the approaches are applied to a Laspeyres‐based CPI. The empirical results confirm the theoretical predictions. The proposed revision approaches are adoptable not only to most national CPIs but also to other price‐level measures such as the producer price index or the import and export price indices.

Date: 2024
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