IDEAS home Printed from https://ideas.repec.org/p/hit/rcesrs/dp19-1.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/30403/dp19-1_rcesr.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. Fattore, Marco, 2010. "Axiomatic properties of geo-logarithmic price indices," Journal of Econometrics, Elsevier, vol. 156(2), pages 344-353, June.
    4. Sato, Kazuo, 1976. "The Ideal Log-Change Index Number," The Review of Economics and Statistics, MIT Press, vol. 58(2), pages 223-228, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. W. Erwin Diewert & Robert C. Feenstra, 2021. "Estimating the Benefits of New Products," NBER Chapters, in: Big Data for Twenty-First Century Economic Statistics, National Bureau of Economic Research, Inc.
    2. Redding, Stephen J. & Weinstein, David E., 2016. "A unified approach to estimating demand and welfare," LSE Research Online Documents on Economics 67681, London School of Economics and Political Science, LSE Library.
    3. Diewert, W. Erwin & Fox, Kevin J., 2017. "Substitution Bias in Multilateral Methods for CPI Construction using Scanner Data," Microeconomics.ca working papers erwin_diewert-2017-3, Vancouver School of Economics, revised 23 Mar 2017.
    4. By Michael Funke & Ralf Ruhwedel, 2001. "Product Variety and Economic Growth: Empirical Evidence for the OECD Countries," IMF Staff Papers, Palgrave Macmillan, vol. 48(2), pages 1-1.
    5. Diewert, W, Erwin & Feenstra, Robert, 2017. "Estimating the Benefits and Costs of New and Disappearing Products," Microeconomics.ca working papers tina_marandola-2017-12, Vancouver School of Economics, revised 19 Dec 2017.
    6. Julien Martin & Isabelle Méjean, 2011. "Low-wage countries' competition, reallocation across firms and the quality content of exports," PSE - G-MOND WORKING PAPERS halshs-00962485, HAL.
    7. Benkovskis, Konstantins & Wörz, Julia, 2018. "What drives the market share changes? Price versus non-price factors," Structural Change and Economic Dynamics, Elsevier, vol. 45(C), pages 9-29.
    8. Konstantīns Beņkovskis, 2012. "Competitiveness of Latvia's exporters," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 12(2), pages 17-45, December.
    9. Diewert, Erwin & FOX, Kevin J. Fox & SCHREYER, Paul, 2017. "The Digital Economy, New Products and Consumer Welfare," Microeconomics.ca working papers erwin_diewert-2017-12, Vancouver School of Economics, revised 14 Dec 2017.
    10. Konstantins Benkovskis & Julia Wörz, 2016. "Non-price competitiveness of exports from emerging countries," Empirical Economics, Springer, vol. 51(2), pages 707-735, September.
    11. Robert Feenstra & Hiau Looi Kee, 2004. "On the Measurement of Product Variety in Trade," American Economic Review, American Economic Association, vol. 94(2), pages 145-149, May.
    12. Lukas Mohler, 2014. "Variety Gains and the Extensive Margin of Trade," International Economic Journal, Taylor & Francis Journals, vol. 28(4), pages 543-558, December.
    13. Lukas Mohler, 2011. "Variety Gains from Trade in Switzerland," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 147(I), pages 45-70, March.
    14. Abe, Naohito & Inakura, Noriko & Tonogi, Akiyuki, 2017. "Effects of the Entry and Exit of Products on Price Indexes," RCESR Discussion Paper Series DP17-2, Research Center for Economic and Social Risks, Institute of Economic Research, Hitotsubashi University.
    15. Konstantins Benkovskis & Julia Wörz, 2014. "How does taste and quality impact on import prices?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 150(4), pages 665-691, November.
    16. Liang Bai & Sebastian Stumpner, 2019. "Estimating US Consumer Gains from Chinese Imports," American Economic Review: Insights, American Economic Association, vol. 1(2), pages 209-224, September.
    17. Brucal, Arlan & Roberts, Michael J., 2019. "Do energy efficiency standards hurt consumers? Evidence from household appliance sales," Journal of Environmental Economics and Management, Elsevier, vol. 96(C), pages 88-107.
    18. Thomas von Brasch & Diana-Cristina Iancu & Arvid Raknerud, 2018. "Productivity growth, firm turnover and new varieties," Discussion Papers 872, Statistics Norway, Research Department.
    19. Funke, Michael & Ruhwedel, Ralf, 2001. "Export variety and export performance: empirical evidence from East Asia," Journal of Asian Economics, Elsevier, vol. 12(4), pages 493-505.
    20. Kancs, d'Artis & Persyn, Damiaan, 2019. "Welfare Gains from the Variety Growth," Working Papers 2019-01, Joint Research Centre, European Commission (Ispra site).

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hit:rcesrs:dp19-1. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/eshitjp.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/eshitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.