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When Does Chaining Reduce The Paasche–Laspeyres Spread? An Application To Scanner Data

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  • Robert J. Hill

Abstract

It is generally believed that chaining reduces the Paasche–Laspeyres spread if prices and quantities are monotonic over time. I consider three alternative definitions of monotonicity and show that none provide either necessary or sufficient conditions for chaining to reduce the Paasche–Laspeyres spread. What matters is the interaction between prices and quantities both in the same period and lagged one period. Sufficient conditions are derived, and the implications of these conditions for the measurement of inflation are considered. The paper concludes with an empirical illustration using scanner data.

Suggested Citation

  • Robert J. Hill, 2006. "When Does Chaining Reduce The Paasche–Laspeyres Spread? An Application To Scanner Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 52(2), pages 309-325, June.
  • Handle: RePEc:bla:revinw:v:52:y:2006:i:2:p:309-325
    DOI: 10.1111/j.1475-4991.2006.00189.x
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    Cited by:

    1. Ivancic, Lorraine & Fox, Kevin J., 2013. "Can dissimilarity indexes resolve the issue of when to chain price indexes?," Economics Letters, Elsevier, vol. 118(1), pages 6-9.
    2. Alegre, Joaquín & Sard, Maria, 2015. "When demand drops and prices rise. Tourist packages in the Balearic Islands during the economic crisis," Tourism Management, Elsevier, vol. 46(C), pages 375-385.
    3. Iqbal A. Syed & Jan De Haan, 2017. "Age, Time, Vintage, And Price Indexes: Measuring The Depreciation Pattern Of Houses," Economic Inquiry, Western Economic Association International, vol. 55(1), pages 580-600, January.
    4. Gregory Kurtzon, 2022. "How much does formula versus chaining matter for a cost‐of‐living index? The CPI‐U versus the C‐CPI‐U," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 645-667, April.
    5. Ludwig von Auer, 2024. "Inflation Measurement in the Presence of Stockpiling and Smoothing of Consumption," Research Papers in Economics 2024-02, University of Trier, Department of Economics.
    6. Chris Bojke & Adriana Castelli & Katja Grašič & Andrew Street, 2017. "Productivity Growth in the English National Health Service from 1998/1999 to 2013/2014," Health Economics, John Wiley & Sons, Ltd., vol. 26(5), pages 547-565, May.

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