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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 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.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5770.

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Date of creation: Jun 2007
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Handle: RePEc:pra:mprapa:5770

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Related research
Keywords: Measurement Error Divisia Index Aggregation State Space Markov Switching Monetary Policy

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Find related papers by JEL classification:
E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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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. 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:
  2. repec:cup:macdyn:v:4:y:2000:i:2:p:197-221 is not listed on IDEAS
  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. 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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  5. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  6. 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)
  7. William A. Barnett & Melvin J. Hinich & Piyu Yue, . "The Exact Theoretical Rational Expectations Monetary Aggregate," Macroeconomics 0003004, EconWPA. [Downloadable!]
  8. 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)
  9. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May. [Downloadable!] (restricted)
  10. 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)
  11. 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)
  12. 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)
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  1. Barnett, William A. & Chauvet, Marcelle, 2008. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," MPRA Paper 10242, University Library of Munich, Germany, revised 04 Sep 2008. [Downloadable!]
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