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The Exact Theoretical Rational Expectations Monetary Aggregate

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Author Info
Barnett, William A.
Hinich, Melvin J.
Yue, Piyu

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Abstract

In aggregation theory, index numbers are judged relative to their ability to track the exact aggregator functions nested within the economy s structure. We compare two statistical index numbers the Divisia monetary aggregate and the simple-sum monetary aggregate with the exact rational expectations monetary aggregate, using actual data. Because we are not using simulated data, we estimate the parameters of the Euler equations, and thereby of the nested monetary aggregator function, using the generalized method of moments. We explore the tracking errors of the two index numbers relative to the estimated exact aggregate. We investigate the circumstances under which risk aversion increases tracking error. We also use polyspectral methods to test for the existence of remaining nonlinear structure in the residual tracking errors.

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Publisher Info
Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 4 (2000)
Issue (Month): 02 (June)
Pages: 197-221
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Handle: RePEc:cup:macdyn:v:4:y:2000:i:02:p:197-221_01

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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. Hong, Yongmiao, 1996. "Consistent Testing for Serial Correlation of Unknown Form," Econometrica, Econometric Society, vol. 64(4), pages 837-64, July. [Downloadable!] (restricted)
  3. Hinich, Melvin J. & Patterson, Douglas M., 1985. "Identification of the coefficients in a non-linear : time series of the quadratic type," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 269-288. [Downloadable!] (restricted)
  4. Barnett, William A. & Gallant, A. Ronald & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1997. "A single-blind controlled competition among tests for nonlinearity and chaos," Journal of Econometrics, Elsevier, vol. 82(1), pages 157-192. [Downloadable!] (restricted)
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  5. K. Alec Chrystal & Ronald MacDonald, 1994. "Empirical evidence on the recent behavior and usefulness of simple-sum and weighted measures of the money stock," Proceedings, Federal Reserve Bank of St. Louis, issue Mar, pages 73-109. [Downloadable!]
  6. 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)
  7. 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. [Downloadable!] (restricted)
  8. James M. Poterba & Julio J. Rotemberg, 1988. "Money in the Utility Function: An Empirical Implementation," NBER Working Papers 1796, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Belongia, Michael T & Chalfant, James A, 1989. "The Changing Empirical Definition of Money: Some Estimates from a Model of the Demand for Money Substitutes," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 387-97, April. [Downloadable!] (restricted)
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  10. Barnett, William A & Fisher, Douglas & Serletis, Apostolos, 1992. "Consumer Theory and the Demand for Money," Journal of Economic Literature, American Economic Association, vol. 30(4), pages 2086-2119, December. [Downloadable!] (restricted)
  11. 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)
  12. 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)
  13. Barnett, William A & Kirova, Milka & Pasupathy, Meenakshi, 1995. "Estimating Policy-Invariant Deep Parameters in the Financial Sector When Risk and Growth Matter," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1402-29, November. [Downloadable!] (restricted)
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  14. Barnett, William A & Offenbacher, Edward K & Spindt, Paul A, 1984. "The New Divisia Monetary Aggregates," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1049-85, December. [Downloadable!] (restricted)
  15. repec:att:wimass:199520 is not listed on IDEAS
  16. Daniel L. Thornton & Piyu Yue, 1992. "An extended series of divisia monetary aggregates," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 35-52. [Downloadable!]
  17. Barnett, William A. & Geweke, John & Wolfe, Michael, 1991. "Seminonparametric Bayesian estimation of the asymptotically ideal production model," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 5-50. [Downloadable!] (restricted)
  18. William A. Barnett & Melvin Hinich & Piyu Yue, 1989. "Monitoring monetary aggregates under risk aversion," Proceedings, Federal Reserve Bank of St. Louis, pages 189-245.
  19. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September. [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. 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. [Downloadable!]
    Other versions:
  2. William Barnett & Unja Chae & John Keating, 2005. "Forecast Design in Monetary Capital Stock Measurement," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200516, University of Kansas, Department of Economics, revised Aug 2005. [Downloadable!]
    Other versions:
  3. William Barnett & Shu Wu, 2004. "Intertemporally Non-Separable Monetaryasset Risk Adjustment And Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200405, University of Kansas, Department of Economics, revised Jun 2004. [Downloadable!]
    Other versions:
  4. Michael T. Belongia, 1992. "Selecting an intermediate target variable for monetary policy when the goal is price stability," Working Papers 1992-008, Federal Reserve Bank of St. Louis. [Downloadable!]
  5. 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)
    Other versions:
  6. Binner, Jane & Elger, Thomas, 2002. "The UK Personal Sector Demand for Risky Money," Working Papers 2002:9, Lund University, Department of Economics.
  7. Binner, Jane & Elger, Thomas & de Peretti, Philipe, 2002. "Is UK Risky Money Weakly Separable? A Stochastic Approach," Working Papers 2002:13, Lund University, Department of Economics. [Downloadable!]
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