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Post-Laspeyres: The Case for a New Formula for Compiling Consumer Price Indexes

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  • Mr. Paul A Armknecht Jr.
  • Mick Silver

Abstract

Consumer price indexes (CPIs) are compiled at the higher (weighted) level using Laspeyres-type arithmetic averages. This paper questions the suitability of such formulas and considers two counterpart alternatives that use geometric averaging, the Geometric Young and the (price-updated) Geometric Lowe. The paper provides a formal decomposition and understanding of the differences between the two. Empirical results are provided using United States CPI data. The findings lead to an advocacy of variants of a hybrid formula suggested by Lent and Dorfman (2009) that substantially reduces bias from Laspeyres-type indexes.

Suggested Citation

  • Mr. Paul A Armknecht Jr. & Mick Silver, 2012. "Post-Laspeyres: The Case for a New Formula for Compiling Consumer Price Indexes," IMF Working Papers 2012/105, International Monetary Fund.
    • Handle: RePEc:imf:imfwpa:2012/105
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    1. Ernst R. Berndt & Charles R. Hulten, 2007. "Introduction to "Hard-to-Measure Goods and Services: Essays in Honor of Zvi Griliches"," NBER Chapters, in: Hard-to-Measure Goods and Services: Essays in Honor of Zvi Griliches, pages 1-14, National Bureau of Economic Research, Inc.
    2. Greenlees John S. & Williams Elliot, 2010. "Reconsideration of Weighting and Updating Procedures in the US CPI," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(6), pages 741-758, December.
    3. Vining, Daniel R, Jr & Elwertowski, Thomas C, 1976. "The Relationship between Relative Prices and the General Price Level," American Economic Review, American Economic Association, vol. 66(4), pages 699-708, September.
    4. 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.
    5. Ernst R. Berndt & Charles R. Hulten, 2007. "Hard-to-Measure Goods and Services: Essays in Honor of Zvi Griliches," NBER Books, National Bureau of Economic Research, Inc, number bern07-1.
    6. Friedman, Milton, 1977. "Nobel Lecture: Inflation and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 451-472, June.
    7. Laurence Ball & N. Gregory Mankiw, 1995. "Relative-Price Changes as Aggregate Supply Shocks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 161-193.
    8. Reinsdorf, Marshall, 1994. "New Evidence on the Relation between Inflation and Price Dispersion," American Economic Review, American Economic Association, vol. 84(3), pages 720-731, June.
    9. Mick Silver & Christos Ioannidis, 2001. "Intercountry Differences in the Relationship between Relative Price Variability and Average Prices," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 355-374, April.
    10. Robert C. Feenstra & Marshall B. Reinsdorf, 2007. "Should Exact Index Numbers Have Standard Errors? Theory and Application to Asian Growth," NBER Chapters, in: Hard-to-Measure Goods and Services: Essays in Honor of Zvi Griliches, pages 483-513, National Bureau of Economic Research, Inc.
    11. Balk, Bert M., 1983. "Does there exist a relation between inflation and relative price-change variability? : The effect of the aggregation level," Economics Letters, Elsevier, vol. 13(2-3), pages 173-180.
    12. Hercowitz, Zvi, 1982. "Money and price dispersion in the united states," Journal of Monetary Economics, Elsevier, vol. 10(1), pages 25-37, July.
    13. Herbert Glejser, 1965. "Inflation, productivity, and relative prices-A statistical study," ULB Institutional Repository 2013/290369, ULB -- Universite Libre de Bruxelles.
    14. Silver, Mick & Heravi, Saeed, 2007. "Why elementary price index number formulas differ: Evidence on price dispersion," Journal of Econometrics, Elsevier, vol. 140(2), pages 874-883, October.
    15. Parks, Richard W, 1978. "Inflation and Relative Price Variability," Journal of Political Economy, University of Chicago Press, vol. 86(1), pages 79-95, February.
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    Cited by:

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    3. Dilip M. Nachane & Aditi Chaubal, 2017. "The Plutocratic Bias in the Indian CPI," Working Papers id:12106, eSocialSciences.
    4. William D. Larson & Justin Contat, 2021. "Transaction Composition and House Price Index Measurement: Evidence from a Repeat-Sales Aggregation Index," FHFA Staff Working Papers 21-01, Federal Housing Finance Agency.
    5. Deutsch Tomi, 2016. "Statistical Capacity Building of Official Statisticians in Practice: Case of the Consumer Price Index," Journal of Official Statistics, Sciendo, vol. 32(4), pages 827-848, December.
    6. Jianchang Lu & Weiguo Fan & Ming Meng, 2015. "Empirical Research on China’s Carbon Productivity Decomposition Model Based on Multi-Dimensional Factors," Energies, MDPI, vol. 8(4), pages 1-25, April.
    7. W. Erwin Diewert, 2022. "Scanner Data, Elementary Price Indexes and the Chain Drift Problem," Springer Books, in: Duangkamon Chotikapanich & Alicia N. Rambaldi & Nicholas Rohde (ed.), Advances in Economic Measurement, chapter 0, pages 445-606, Springer.
    8. Diewert, Erwin & Marandola, Tina, 2018. "Scanner Data, Elementary Price Indexes and the Chain Drift Problem," Microeconomics.ca working papers tina_marandola-2018-9, Vancouver School of Economics, revised 10 Oct 2018.
    9. Herzberg, Julika & Knetsch, Thomas A. & Schwind, Patrick & Weinand, Sebastian, 2021. "Quantifying bias and inaccuracy of upper-level aggregation in HICPs for Germany and the euro area," Discussion Papers 06/2021, Deutsche Bundesbank.
    10. Wang, Minggang & Tian, Lixin & Xu, Hua & Li, Weiyu & Du, Ruijin & Dong, Gaogao & Wang, Jie & Gu, Jiani, 2017. "Systemic risk and spatiotemporal dynamics of the consumer market of China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 188-204.
    11. Xiao, Jiang & Wang, Minggang & Tian, Lixin & Zhen, Zaili, 2018. "The measurement of China’s consumer market development based on CPI data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 664-680.
    12. Mick Silver, 2012. "Why House Price Indexes Differ: Measurement and Analysis," IMF Working Papers 2012/125, International Monetary Fund.

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