Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach

Barnett, William A. and Chauvet, Marcelle and Tierney, Heather L. R. (2007): Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Measurement Error, Divisia Index, Aggregation, State Space, Markov Switching, Monetary Policy
• Subjects: E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates

References

Anderson, R., B. Jones, and T. Nesmith , 1997a, “Introduction to the St. Louis Monetary Services Index Project,” Federal Reserve Bank of St. Louis Review, January/February, Vol. 79, No.1, 25-30.

Anderson, R., B. Jones, and T. Nesmith, 1997b, “Building New Monetary Services Indexes: Concepts Data and Methods,” Federal Reserve Bank of St. Louis Review, January/February, Vol. 79, No.1, 53-82.

Barnett, W.A., 1982, “The Optimal Level of Monetary Aggregation,” Jornal of Money Credit and Banking, v. 14, No. 4.

Barnett, W.A., M. Hinich, and P. Yue, 1991, “Monitoring Monetary Aggregates under Risk Aversion,” Monetary Policy on the 75th Anniversary of the Federal Reserve System, Federal Reserve Bank of St. Louis Review, 189-222.

Barnett, W.A., A.R. Gallant, M.J. Hinich, J. Jungeilges, D. Kaplan, and M.J. Jensen, 1995, “Robustness of Nonlinearity and Chaos Tests to Measurement Error, Inference Method, and Sample Size,” Journal of Economic Behavior and Organization, 27, 301-320.

Barnett, W.A., M. Hinich, and P. Yue, 2000, “The Exact Theoretical Rational Expectations Monetary Aggregate,” Macroeconomic Dynamics, v. 4, No. 2, 197-221.

Barnett, W. A. and A. Serletis (eds), 2000, “The Theory of Monetary Aggregation,” Contributions to Economic Analysis Monograph Series, Elsevier.

Belongia, M., 1996, “Measurement Matters: Recent Results from Monetary Economics Reexamined,” Journal of Political Economy, v. 104, No. 5, 1065-1083.

Belongia, M. and J. Binner (eds), 2000, “Divisia Monetary Aggregates: Theory and Practice,” Palgrave.

Belongia, M. and P. Ireland, 2006, “The Own-Price of Money and the Channels of Monetary Transmission,” Journal of Money Credit and Banking, 38, No. 2, 429-445.

Bry, G., and C. Boschan, 1971, Cyclical Analysis of Times Series: Selected Procedures and Computer Programs, (New York: National Bureau of Economic Research).

Chauvet, M., 1998, “An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switches,” International Economic Review, Vol. 39, No. 4, November, 969-96.

Chauvet, M., 2001, “A Monthly Indicator of Brazilian GDP,” in Brazilian Review of Econometrics Vol. 21, No. 1.

Hicks, J. R., 1946, “Value and Capital,” Oxford: Clarendon Press.

Jones, B.E. and T.D. Nesmith, 1997, “The Monetary Services Indexes,” mimeo, Washington University Saint Louis.

Kim, C.J. and C. Nelson, 1998, “State-Space Models with Regime-Switching: Classical and Gibbs-Sampling Approaches with Applications,” The MIT Press.

Serletis, A. (ed.), 2006, “Money and the Economy,” World Scientific.

Schunk, D., 2001, “The Relative Forecasting Performance of the Divisia and Simple Sum Monetary Aggregates,” Journal of Money, Credit and Banking, 33, No. 2, 272-283.