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Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach

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  • Barnett, William A.
  • Chauvet, Marcelle
  • Tierney, Heather L. R.

Abstract

This paper compares the different dynamics of simple sum monetary aggregates and the Divisia indexes over time, over the business cycle, and across high and low inflation and interest rate phases. Although the traditional comparison of the series may suggest that they share similar dynamics, there are important differences during certain times and around turning points that can not be evaluated by their average behavior. We use a factor model with regime switching that offers several ways in which these differences can be analyzed. The model separates out the common movements underlying the monetary aggregate indexes, summarized in the dynamic factor, from individual variations in each one series, captured by the idiosyncratic terms. The idiosyncratic terms and the measurement errors represent exactly where the monetary indexes differ. We find several new results. In general, the idiosyncratic terms for both the simple sum aggregates and the Divisia indexes display a business cycle pattern, especially since 1980. They generally rise around the end of high interest rate phases – a couple of quarters before the beginning of recessions – and fall during recessions to subsequently converge to their average in the beginning of expansions. We also find that the major differences between the simple sum aggregates and Divisia indexes occur around the beginning and end of economic recessions, and during some high interest rate phases.

Suggested Citation

  • Barnett, William A. & Chauvet, Marcelle & Tierney, Heather L. R., 2007. "Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach," MPRA Paper 5770, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:5770
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    1. William A. Barnett, 2011. "Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 6, pages 167-206, World Scientific Publishing Co. Pte. Ltd..
    2. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "Robustness of Nonlinearity and Chaos Tests to Measurement Error, Inference Method, and Sample Size," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 529-548, Emerald Group Publishing Limited.
    3. William A. Barnett & Shu Wu, 2011. "On User Costs of Risky Monetary Assets," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 3, pages 85-105, World Scientific Publishing Co. Pte. Ltd..
    4. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    5. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    6. Schunk, Donald L, 2001. "The Relative Forecasting Performance of the Divisia and Simple Sum Monetary Aggregates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(2), pages 272-283, May.
    7. William A. Barnett & Melvin J. Hinich & Piyu Yue, 2011. "The Exact Theoretical Rational Expectations Monetary Aggregate," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 2, pages 53-84, World Scientific Publishing Co. Pte. Ltd..
    8. William A. Barnett, 2000. "The Optimal Level of Monetary Aggregation," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 125-149, Emerald Group Publishing Limited.
    9. Barnett, William A. & Liu, Yi & Jensen, Mark, 1997. "Capm Risk Adjustment For Exact Aggregation Over Financial Assets," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 485-512, June.
    10. repec:cup:macdyn:v:4:y:2000:i:2:p:197-221 is not listed on IDEAS
    11. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-533, December.
    12. Michael T. Belongia & Jane M. Binner (ed.), 2000. "Divisia Monetary Aggregates," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-28823-2, March.
    13. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    14. Apostolos Serletis, 2006. "Money and the Economy," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6118, July.
    15. William A. Barnett & Melvin Hinich & Piyu Yue, 2000. "Monitoring Monetary Aggregates Under Risk Aversion," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 217-244, Emerald Group Publishing Limited.
    16. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    17. Belongia, Michael T. & Ireland, Peter N., 2006. "The Own-Price of Money and the Channels of Monetary Transmission," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 429-445, March.
    18. Chauvet, Marcelle, 1998. "An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switching," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 969-996, November.
    19. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    20. Milton Friedman & Anna Jacobson Schwartz, 1970. "Monetary Statistics of the United States: Estimates, Sources, Methods," NBER Books, National Bureau of Economic Research, Inc, number frie70-1.
    21. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    22. Gerhard Bry & Charlotte Boschan, 1971. "Cyclical Analysis of Time Series: Selected Procedures and Computer Programs," NBER Books, National Bureau of Economic Research, Inc, number bry_71-1.
    23. Chauvet, Marcelle, 2001. "A Monthly Indicator of Brazilian GDP," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 21(1), May.
    24. Jones, Barry E. & Dutkowsky, Donald H. & Elger, Thomas, 2005. "Sweep programs and optimal monetary aggregation," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 483-508, February.
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    Cited by:

    1. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    2. Choi-Meng Leong & Chin-Hong Puah & Shazali Abu Mansor & Evan Lau, 2010. "Testing the Effectiveness of Monetary Policy in Malaysia Using Alternative Monetary Aggregation," Margin: The Journal of Applied Economic Research, National Council of Applied Economic Research, vol. 4(3), pages 321-338, August.
    3. Jawadi, Fredj & Sousa, Ricardo M., 2013. "Money demand in the euro area, the US and the UK: Assessing the role of nonlinearity," Economic Modelling, Elsevier, vol. 32(C), pages 507-515.
    4. Fleissig, Adrian R. & Jones, Barry E., 2015. "The impact of commercial sweeping on the demand for monetary assets during the Great Recession," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 412-422.
    5. Ellington, Michael, 2018. "The case for Divisia monetary statistics: A Bayesian time-varying approach," Journal of Economic Dynamics and Control, Elsevier, vol. 96(C), pages 26-41.
    6. William A. Barnett & Marcelle Chauvet, 2011. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 1, pages 1-51, World Scientific Publishing Co. Pte. Ltd..
    7. Hachmi Ben Ameur & Fredj Jawadi & Abdoulkarim Idi Cheffou & Wael Louhichi, 2018. "Measurement errors in stock markets," Annals of Operations Research, Springer, vol. 262(2), pages 287-306, March.
    8. Richard G. Anderson & Marcelle Chauvet & Barry Jones, 2015. "Nonlinear Relationship Between Permanent and Transitory Components of Monetary Aggregates and the Economy," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 228-254, February.
    9. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    10. Ryan S. Mattson & Philippe de Peretti, 2014. "Investigating the Role of Real Divisia Money in Persistence-Robust Econometric Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00984827, HAL.
    11. Chin-Hong, Puah & Lee-Chea, Hiew, 2010. "Financial Liberalization, Weighted Monetary Aggregates and Money Demand in Indonesia," MPRA Paper 31731, University Library of Munich, Germany.
    12. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.
    13. Fredj Jawadi & Ricardo M. Sousa, 2012. "Consumption and Wealth in the US, the UK and the Euro Area:A Nonlinear Investigation," NIPE Working Papers 24/2012, NIPE - Universidade do Minho.

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    More about this item

    Keywords

    Measurement Error; Divisia Index; Aggregation; State Space; Markov Switching; Monetary Policy;
    All these keywords.

    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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