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On the Evolution of the United Kingdom Price Distributions

Author

Listed:
  • Ba M. Chu
  • Kim Huynh
  • David T. Jacho-Chávez
  • Oleksiy Kryvtsov

Abstract

We propose a functional principal components method that accounts for stratified random sample weighting and time dependence in the observations to understand the evolution of distributions of monthly micro-level consumer prices for the United Kingdom (UK). We apply the method to publicly available monthly data on individual-good prices collected in retail stores by the UK Office for National Statistics for the construction of the UK Consumer Price Index from March 1996 to September 2015. In addition, we conduct Monte Carlo simulations to demonstrate the effectiveness of our methodology. Our method allows us to visualize the dynamics of the price distribution and uncovers interesting patterns during the sample period. Further, we demonstrate the efficacy of our methodology with an out-of-sample forecasting algorithm that exploits the time dependence of distributions. Our out-of-sample forecast compares favorably with the random walk forecast.

Suggested Citation

  • Ba M. Chu & Kim Huynh & David T. Jacho-Chávez & Oleksiy Kryvtsov, 2018. "On the Evolution of the United Kingdom Price Distributions," Staff Working Papers 18-25, Bank of Canada.
  • Handle: RePEc:bca:bocawp:18-25
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    References listed on IDEAS

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    1. Chen, Haipeng (Allan) & Levy, Daniel & Ray, Sourav & Bergen, Mark, 2008. "Asymmetric Price Adjustment in the Small," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 55(4), pages 728-737.
    2. Brian Peterson & Shouyong Shi, 2006. "Money, price dispersion and welfare," Studies in Economic Theory, in: Charalambos D. Aliprantis & Nicholas C. Yannelis & Gabriele Camera (ed.), Recent Developments on Money and Finance, pages 197-222, Springer.
    3. Lach, Saul & Tsiddon, Daniel, 1992. "The Behavior of Prices and Inflation: An Empirical Analysis of Disaggregated Price Data," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 349-389, April.
    4. Kim P. Huynh & David T. Jacho‐Chávez, 2010. "Firm size distributions through the lens of functional principal components analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(7), pages 1211-1214, November/.
    5. Oleksiy Kryvtsov, 2016. "Is there a quality bias in the Canadian CPI? Evidence from microdata," Canadian Journal of Economics, Canadian Economics Association, vol. 49(4), pages 1401-1424, November.
    6. Emmanuel Dhyne & Luis J. Alvarez & Herve Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lunnemann & Fabio Rumler & Jouko Vilmunen, 2006. "Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data," Journal of Economic Perspectives, American Economic Association, vol. 20(2), pages 171-192, Spring.
    7. Huynh, Kim P. & Jacho-Chávez, David T. & Kryvtsov, Oleksiy & Shepotylo, Oleksandr & Vakhitov, Volodymyr, 2016. "The evolution of firm-level distributions for Ukrainian manufacturing firms," Journal of Comparative Economics, Elsevier, vol. 44(1), pages 148-162.
    8. Peter J. Klenow & Oleksiy Kryvtsov, 2008. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," The Quarterly Journal of Economics, Oxford University Press, vol. 123(3), pages 863-904.
    9. Huynh, Kim P. & Jacho-Chávez, David T. & Petrunia, Robert J. & Voia, Marcel, 2011. "Functional Principal Component Analysis of Density Families With Categorical and Continuous Data on Canadian Entrant Manufacturing Firms," Journal of the American Statistical Association, American Statistical Association, vol. 106(495), pages 858-878.
    10. Fernando Alvarez & Hervé Le Bihan & Francesco Lippi, 2016. "The Real Effects of Monetary Shocks in Sticky Price Models: A Sufficient Statistic Approach," American Economic Review, American Economic Association, vol. 106(10), pages 2817-2851, October.
    11. Klenow, Peter J. & Malin, Benjamin A., 2010. "Microeconomic Evidence on Price-Setting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 6, pages 231-284, Elsevier.
    12. Laurence Ball & N. Gregory Mankiw, 1995. "Relative-Price Changes as Aggregate Supply Shocks," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 161-193.
    13. Joseph Vavra, 2014. "Inflation Dynamics and Time-Varying Volatility: New Evidence and an Ss Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 129(1), pages 215-258.
    14. Debelle, Guy & Lamont, Owen, 1997. "Relative Price Variability and Inflation: Evidence from U.S. Cities," Journal of Political Economy, University of Chicago Press, vol. 105(1), pages 132-152, February.
    15. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, Oxford University Press, vol. 124(3), pages 1221-1263.
    16. Hyndman, Rob J. & Khandakar, Yeasmin, 2008. "Automatic Time Series Forecasting: The forecast Package for R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 27(i03).
    17. repec:oup:qjecon:v:129:y:2013:i:1:p:215-258 is not listed on IDEAS
    18. Sheremirov, Viacheslav, 2020. "Price dispersion and inflation: New facts and theoretical implications," Journal of Monetary Economics, Elsevier, vol. 114(C), pages 59-70.
    19. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
    20. Tran, Lanh Tat, 1990. "Kernel density estimation on random fields," Journal of Multivariate Analysis, Elsevier, vol. 34(1), pages 37-53, July.
    21. Kneip A. & Utikal K. J, 2001. "Inference for Density Families Using Functional Principal Component Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 519-542, June.
    22. Joseph Vavra, 2011. "Inflation Dynamics and Time-Varying Uncertainty: New Evidence and an Ss Interpretation," 2011 Meeting Papers 126, Society for Economic Dynamics.
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    Cited by:

    1. Gustavo Canavire-Bacarreza & Luis C. Carvajal-Osorio, 2020. "Two Stories of Wage Dynamics in Latin America: Different Policies, Different Outcomes," Journal of Labor Research, Springer, vol. 41(1), pages 128-168, June.
    2. Byron Botha & Rulof Burger & Kevin Kotzé & Neil Rankin & Daan Steenkamp, 2023. "Big data forecasting of South African inflation," Empirical Economics, Springer, vol. 65(1), pages 149-188, July.
    3. Richard Davies, 2021. "Prices and inflation in the UK - A new dataset," CEP Occasional Papers 55, Centre for Economic Performance, LSE.
    4. Carvalho, Carlos & Kryvtsov, Oleksiy, 2021. "Price selection," Journal of Monetary Economics, Elsevier, vol. 122(C), pages 56-75.
    5. Petrella, Ivan & Santoro, Emiliano & Simonsen, Lasse de la Porte, 2018. "Time-varying Price Flexibility and Inflation Dynamics," CEPR Discussion Papers 13027, C.E.P.R. Discussion Papers.
    6. Joseph, Andreas & Kalamara, Eleni & Kapetanios, George & Potjagailo, Galina & Chakraborty, Chiranjit, 2021. "Forecasting UK inflation bottom up," Bank of England working papers 915, Bank of England, revised 27 Sep 2022.

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    More about this item

    Keywords

    Econometric and statistical methods; Inflation and prices;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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