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Lowe and Cobb-Douglas Consumer Price Indices and their Substitution Bias

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  • Balk Bert M.

    (Rotterdam School of Management, Erasmus University, P. O. Box 17 38, 3000 DR Rotterdam, Netherlands, and Statistics Netherlands, The Hague)

Abstract

Catching the effect of substitution behaviour in a Consumer Price Index (CPI) as good as possible is a goal pursued by statistical agencies throughout the world. The difference between a CPI and a certain target cost-of-living index is called substitution bias. Balk and Diewert (2003) considered the substitution bias of a Lowe Consumer Price Index; see also CPI Manual (2004: Chapter 17). The present paper considers the substitution bias of a Cobb-Douglas (or Geometric Young) CPI, and compares the two price indices with respect to their substitution bias. It appears difficult to draw a clear-cut conclusion.

Suggested Citation

  • Balk Bert M., 2010. "Lowe and Cobb-Douglas Consumer Price Indices and their Substitution Bias," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(6), pages 726-740, December.
    • Handle: RePEc:jns:jbstat:v:230:y:2010:i:6:p:726-740
    DOI: 10.1515/jbnst-2010-0608
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    References listed on IDEAS

    as
    1. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960, November.
    2. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    3. Diewert, Erwin, 2009. "Cost of Living Indexes and Exact Index Numbers," Economics working papers erwin_diewert-2009-6, Vancouver School of Economics, revised 13 Feb 2009.
    4. Diewert, W.E., 1993. "Duality approaches to microeconomic theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 12, pages 535-599, Elsevier.
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    1. Paul Armknecht & Mick Silver, 2014. "Post-Laspeyres: The Case for a New Formula for Compiling Consumer Price Indexes," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(2), pages 225-244, June.

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