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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.

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Bibliographic Info

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

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Citations

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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. 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.
  3. 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.
  4. Fredj Jawadi & Ricardo M. Sousa, 2012. "Money Demand in the euro area, the US and the UK:Assessing the Role of Nonlinearity," NIPE Working Papers 22/2012, NIPE - Universidade do Minho.
  5. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.
  6. 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.
  7. 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.
  8. Richard G. Anderson & Barry Jones & Marcelle Chauvet, 2013. "Nonlinear relationship between permanent and transitory components of monetary aggregates and the economy," Working Papers 2013-018, Federal Reserve Bank of St. Louis.

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