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Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries

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  • William A. Barnett

    (University of Kansas)

Abstract

We derive fundamental new theory for measuring monetary service flows aggregated over countries within a multicountry economic union. We develop three increasingly restrictive approaches: (1) the heterogeneous agents approach, (2) the multilateral representative agent approach, and (3) the unilateral representative agent approach. Our heterogeneous agents approach contains our multilateral representative agent approach as a special case. These results are being used by the European Central Bank in the construction of its Divisia monetary aggregates database, with convergence from the most general to the more restrictive approaches expected as economic convergence within the euro area proceeds. Our theory is equally as relevant to other economic unions, with or without a common currency. We use a stochastic approach to aggregation across countries over heterogeneous representative agents. Our theory permits monitoring the effects of policy at the aggregate level over a multicountry economic union, while also monitoring the distribution effects of policy among the countries of the multicountry area. The resulting index number theory assures internal consistency of the data construction methodology with the theory used in applications of the data in modeling and policy.

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File URL: http://128.118.178.162/eps/mac/papers/0412/0412009.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Macroeconomics with number 0412009.

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Length: 30 pages
Date of creation: 10 Dec 2004
Date of revision:
Handle: RePEc:wpa:wuwpma:0412009

Note: Type of Document - pdf; pages: 30. This paper is forthcoming in the J. of Econometrics. The longer working paper, of which this paper is a subset, is available as an ECB working paper on their site as ECB Working Paper 260.
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Related research

Keywords: multilateral aggregation; Divisia monetary aggregates; ECB; EMU; Euro area; aggregation over countries; heterogeneous agents; distribution effects;

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References

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  1. Diewert, Erwin, 2002. "Harmonized indexes of consumer prices: their conceptual foundations," Working Paper Series 0130, European Central Bank.
  2. Barnett, William A., 2003. "Aggregation-theoretic monetary aggregation over the euro area, when countries are heterogeneous," Working Paper Series 0260, European Central Bank.
  3. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
  4. Barnett, William A, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Wiley Blackwell, vol. 46(1), pages 109-30, January.
  5. Stracca, Livio, 2001. "Does liquidity matter? Properties of a synthetic divisia monetary aggregate in the euro area," Working Paper Series 0079, European Central Bank.
  6. Drake, L. & Mullineux, A., 1995. "One Divisa Money for Europe?," Discussion Papers 95-04, Department of Economics, University of Birmingham.
  7. 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.
  8. Barnett, William A, 1979. "The Joint Allocation of Leisure and Goods Expenditure," Econometrica, Econometric Society, vol. 47(3), pages 539-63, May.
  9. Katrin Wesche, 1997. "The demand for divisia money in a core monetary union," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 51-60.
  10. Swofford, James L., 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, Elsevier, vol. 9(2), pages 121-128, December.
  11. William Barnett & Shu Wu, 2004. "On user costs of risy monetary assets," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200404, University of Kansas, Department of Economics, revised Jun 2004.
  12. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
  13. David Hendry & Jurgen Doornik, 2000. "Constructing Historical Euro-Zone Data," Economics Series Working Papers 4, University of Oxford, Department of Economics.
  14. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, EconWPA.
  15. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank, Research Centre.
  16. Spencer, Peter, 1997. "Monetary integration and currency substitution in the EMS: The case for a European monetary aggregate," European Economic Review, Elsevier, vol. 41(7), pages 1403-1419, July.
  17. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, EconWPA.
  18. Leigh Drake & Andy Mullineux & Juda Agung, 1997. "One Divisia money for Europe?," Applied Economics, Taylor & Francis Journals, vol. 29(6), pages 775-786.
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Citations

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Cited by:
  1. Ryadh M. Alkhareif & William Barnett, 2012. "Divisia Monetary Aggregates for the GCC Countries," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201209, University of Kansas, Department of Economics, revised Aug 2012.
  2. 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.
  3. Barnett, William A. & Chauvet, Marcelle & Tierney, Heather L. R., 2008. "Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach," MPRA Paper 10179, University Library of Munich, Germany.
  4. William A. Barnett & Marcelle Chauvet, 2010. "How Better Monetary Statistics Could Have Signaled the Financial Crisis," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201005, University of Kansas, Department of Economics, revised Aug 2010.
  5. Calza, Alessandro & Zaghini, Andrea, 2009. "Nonlinearities In The Dynamics Of The Euro Area Demand For M1," Macroeconomic Dynamics, Cambridge University Press, vol. 13(01), pages 1-19, February.
  6. 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.
  7. Richard G. Anderson & Barry Jones, 2011. "A comprehensive revision of the U.S. monetary services (divisia) indexes," Review, Federal Reserve Bank of St. Louis, issue Sep, pages 325-360.
  8. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.

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