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Multilateral Sato-Vartia Index for International Comparisons of Prices and Real Expenditures

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  • Abe, Naohito
  • Rao, D.S.Prasada

Abstract

The Sato-Vartia (SV) index for bilateral price comparisons has impressive analytical properties and is used intensively in recent international trade and macroeconomic analyses. In this paper we propose several ways of constructing transitive multilateral version of the SV index. We show that the SV index is only one of many logarithmic indices that satisfy the factor reversal test discussed in index number theory. We derive closed form expressions for the generalized SV indices and empirically implement the new indices for making cross-country price comparison using World Bank data from the 2011 International Comparison Program.

Suggested Citation

  • Abe, Naohito & Rao, D.S.Prasada, 2019. "Multilateral Sato-Vartia Index for International Comparisons of Prices and Real Expenditures," RCESR Discussion Paper Series DP19-1, Research Center for Economic and Social Risks, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:rcesrs:dp19-1
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    References listed on IDEAS

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    1. H. Funke & G. Hacker & J. Voeller, 1979. "Fisher's Circular Test Reconsidered," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 115(IV), pages 677-688, December.
    2. Feenstra, Robert C, 1994. "New Product Varieties and the Measurement of International Prices," American Economic Review, American Economic Association, vol. 84(1), pages 157-177, March.
    3. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960, January.
    4. Stephen J Redding & David E Weinstein, 2020. "Measuring Aggregate Price Indices with Taste Shocks: Theory and Evidence for CES Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 503-560.
    5. Fattore, Marco, 2010. "Axiomatic properties of geo-logarithmic price indices," Journal of Econometrics, Elsevier, vol. 156(2), pages 344-353, June.
    6. Sato, Kazuo, 1976. "The Ideal Log-Change Index Number," The Review of Economics and Statistics, MIT Press, vol. 58(2), pages 223-228, May.
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    Cited by:

    1. Jacek Bia{l}ek & Maciej Berk{e}sewicz, 2020. "Scanner data in inflation measurement: from raw data to price indices," Papers 2005.11233, arXiv.org.

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    More about this item

    Keywords

    Sato-Vartia Index; Multilateral comparisons; Transitivity; Factor Reversal Test;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • E01 - Macroeconomics and Monetary Economics - - General - - - Measurement and Data on National Income and Product Accounts and Wealth; Environmental Accounts
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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