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Exact and inexact decompositions of trade price indices

Author

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  • Andreas Benedictow

    (Housing Lab, Oslo Metropolitan University)

  • Pål Boug

    (Statistics Norway, Research Department)

Abstract

A reasonable concept for the true trade price index in situations where low-price countries capture market shares from high-price countries is the average price paid by importers for the same quality of good or service from all exporting countries. However, decompositions of trade price indices are usually inexact in the sense that the average price used as the underlying aggregator formula is not exactly reproduced. In this paper, we compare analytically exact and inexact decompositions of trade price indices, paying particular attention to the bias in aggregate inflation occurring from applying the first-order Taylor series approximation and not the quadratic approximation lemma to a geometric average price. Our calculations, using the Norwegian clothing industry as an illustration, reveal that the bias in aggregate inflation over the sample period of 1997–2016 is quite substantial and as much as 0.6 percentage point in some years. We therefore conclude that the quadratic approximation lemma should be used in practice to exactly reproduce the underlying aggregator formula.

Suggested Citation

  • Andreas Benedictow & Pål Boug, 2022. "Exact and inexact decompositions of trade price indices," Empirical Economics, Springer, vol. 62(4), pages 1981-1994, April.
    • Handle: RePEc:spr:empeco:v:62:y:2022:i:4:d:10.1007_s00181-021-02078-4
    DOI: 10.1007/s00181-021-02078-4
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    References listed on IDEAS

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    1. Alan G. White, 2000. "Outlet types and the Canadian Consumer Price Index," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 33(2), pages 488-505, May.
    2. W. Erwin Diewert & John S. Greenlees & Charles R. Hulten, 2009. "Price Index Concepts and Measurement," NBER Books, National Bureau of Economic Research, Inc, number diew08-1, March.
    3. Alan G. White, 2000. "Outlet types and the Canadian Consumer Price Index," Canadian Journal of Economics, Canadian Economics Association, vol. 33(2), pages 488-505, May.
    4. Robert J. Gordon, 2006. "The Boskin Commission Report: A Retrospective One Decade Later," International Productivity Monitor, Centre for the Study of Living Standards, vol. 12, pages 7-22, Spring.
    5. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    6. Jerry Hausman & Ephraim Leibtag, 2009. "CPI Bias from Supercenters: Does the BLS Know that Wal-Mart Exists?," NBER Chapters, in: Price Index Concepts and Measurement, pages 203-231, National Bureau of Economic Research, Inc.
    7. Mick Silver, 2010. "The Wrongs And Rights Of Unit Value Indices," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 206-223, June.
    8. Andreas Benedictow & Pål Boug, 2017. "Calculating the real return on a sovereign wealth fund," Canadian Journal of Economics, Canadian Economics Association, vol. 50(2), pages 571-594, May.
    9. Steven B. Kamin & Mario Marazzi & John W. Schindler, 2006. "The Impact of Chinese Exports on Global Import Prices," Review of International Economics, Wiley Blackwell, vol. 14(2), pages 179-201, May.
    10. Nigel Pain & Isabell Koske & Marte Sollie, 2006. "Globalisation and Inflation in the OECD Economies," OECD Economics Department Working Papers 524, OECD Publishing.
    11. Andreas Benedictow & Pål Boug, 2017. "Calculating the real return on a sovereign wealth fund," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(2), pages 571-594, May.
    12. Wheeler, Tracy, 2008. "Has trade with China affected UK inflation?," Discussion Papers 22, Monetary Policy Committee Unit, Bank of England.
    13. W. Erwin Diewert, 1998. "Index Number Issues in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 47-58, Winter.
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