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Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach

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Author Info
Barnett, William A.
Chauvet, Marcelle
Tierney, Heather L. R.

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Abstract

This paper compares the different dynamics of the simple sum monetary aggregates and the Divisia monetary aggregate indexes over time, over the business cycle, and across high and low inflation and interest rate phases. Although traditional comparisons of the series sometimes suggest that simple sum and Divisia monetary aggregates share similar dynamics, there are important differences during certain periods, such as around turning points. These differences cannot be evaluated by their average behavior. We use a factor model with regime switching. The model separates out the common movements underlying the monetary aggregate indexes, summarized in the dynamic factor, from individual variations in each individual series, captured by the idiosyncratic terms. The idiosyncratic terms and the measurement errors reveal 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 find that the major differences between the simple sum aggregates and Divisia indexes occur around the beginnings and ends of economic recessions, and during some high interest rate phases. We note the policy relevance of the inferences. Indeed, as Belongia (1996) has observed in this regard, "measurement matters."

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 10150.

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Date of creation: Jul 2007
Date of revision: 06 Aug 2008
Handle: RePEc:pra:mprapa:10150

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Related research
Keywords: Measurement error; monetary aggregation; Divisia index; aggregation; state space; Markov switching; monetary policy; index number theory; factor models;

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Find related papers by JEL classification:
E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. William Barnett, 2005. "Monetary Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200510, University of Kansas, Department of Economics, revised Mar 2005. [Downloadable!]
    Other versions:
  2. Barnett, William A., 2007. "Multilateral aggregation-theoretic monetary aggregation over heterogeneous countries," Journal of Econometrics, Elsevier, vol. 136(2), pages 457-482, February. [Downloadable!] (restricted)
    Other versions:
  3. 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 272-83, May.
  4. 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. [Downloadable!] (restricted)
  5. Barnett, William A. & Ronald Gallant, A. & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1995. "Robustness of nonlinearity and chaos tests to measurement error, inference method, and sample size," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 301-320, July. [Downloadable!] (restricted)
  6. William A. Barnett & Melvin J. Hinich & Piyu Yue, . "The Exact Theoretical Rational Expectations Monetary Aggregate," Macroeconomics 0003004, EconWPA. [Downloadable!]
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  7. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-83, October. [Downloadable!] (restricted)
  8. Barnett, William A, 1982. "The Optimal Level of Monetary Aggregation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 14(4), pages 687-710, November. [Downloadable!] (restricted)
  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(02), pages 485-512, June. [Downloadable!]
  10. repec:cup:macdyn:v:4:y:2000:i:2:p:197-221 is not listed on IDEAS
  11. William A. Barnett & Shu Wu, 2005. "On user costs of risky monetary assets," Annals of Finance, Springer, vol. 1(1), pages 35-50, 01. [Downloadable!] (restricted)
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  12. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  13. 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 969-96, November.
  14. William A. Barnett & Melvin Hinich & Piyu Yue, 1989. "Monitoring monetary aggregates under risk aversion," Proceedings, Federal Reserve Bank of St. Louis, pages 189-245.
  15. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May. [Downloadable!] (restricted)
  16. W. A. Broock & J. A. Scheinkman & W. D. Dechert & B. LeBaron, 1996. "A test for independence based on the correlation dimension," Econometric Reviews, Taylor and Francis Journals, vol. 15(3), pages 197-235. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. William Barnett & Marcelle Chauvet, 2008. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200804, University of Kansas, Department of Economics, revised Sep 2008. [Downloadable!]
    Other versions:
  2. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation?," MPRA Paper 11642, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  3. Barnett, William A. & Diewert, W. Erwin & Zellner, Arnold, 2009. "Introduction to Measurement with Theory," MPRA Paper 14868, University Library of Munich, Germany. [Downloadable!]
    Other versions:
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