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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.

Suggested Citation

  • William A. Barnett, 2004. "Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries," Macroeconomics 0412009, EconWPA.
  • 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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    References listed on IDEAS

    as
    1. William A. Barnett & Shu Wu, 2011. "On User Costs of Risky Monetary Assets," World Scientific Book Chapters,in: Financial Aggregation And Index Number Theory, chapter 3, pages 85-105 World Scientific Publishing Co. Pte. Ltd..
    2. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, EconWPA.
    3. Swofford, James L., 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, Elsevier, vol. 9(2), pages 121-128, December.
    4. K. Alec Chrystal & Ronald MacDonald, 1994. "Empirical evidence on the recent behavior and usefulness of simple-sum and weighted measures of the money stock," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 73-109.
    5. 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.
    6. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank.
    7. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, EconWPA.
    8. 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.
    9. Drake, L. & Mullineux, A., 1995. "One Divisa Money for Europe?," Discussion Papers 95-04, Department of Economics, University of Birmingham.
    10. William A. Barnett, 2003. "Aggregation-Theoretic Monetary Aggregation over the Euro Area, when Countries are Heterogeneous," Macroeconomics 0309018, EconWPA.
    11. W. Erwin Diewert, 2002. "Harmonized Indexes of Consumer Prices: Their Conceptual Foundations," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 547-637, December.
    12. Beyer, Andreas & Doornik, Jurgen A & Hendry, David F, 2001. "Constructing Historical Euro-Zone Data," Economic Journal, Royal Economic Society, vol. 111(469), pages 102-121, February.
    13. Stracca, Livio, 2001. "Does liquidity matter? Properties of a synthetic divisia monetary aggregate in the euro area," Working Paper Series 0079, European Central Bank.
    14. 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.
    15. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 109-130.
    16. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
    17. Leigh Drake & Andy Mullineux & Juda Agung, 1997. "One Divisia money for Europe?," Applied Economics, Taylor & Francis Journals, vol. 29(6), pages 775-786.
    18. Barnett, William A, 1979. "The Joint Allocation of Leisure and Goods Expenditure," Econometrica, Econometric Society, vol. 47(3), pages 539-563, May.
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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. William A. Barnett & Marcelle Chauvet & Heather L. R. Tierney, 2011. "Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach," World Scientific Book Chapters,in: Financial Aggregation And Index Number Theory, chapter 7, pages 207-249 World Scientific Publishing Co. Pte. Ltd..
    3. repec:kap:openec:v:29:y:2018:i:2:d:10.1007_s11079-017-9453-0 is not listed on IDEAS
    4. Darvas, Zsolt, 2015. "Does money matter in the euro area? Evidence from a new Divisia index," Economics Letters, Elsevier, vol. 133(C), pages 123-126.
    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. 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.
    7. Richard G. Anderson & Barry E. 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. William A. Barnett & Neepa B. Gaekwad, 2018. "The Demand for Money for EMU: a Flexible Functional Form Approach," Open Economies Review, Springer, vol. 29(2), pages 353-371, April.
    9. James J. Heckman & Apostolos Serletis, "undated". "Introduction to Internally Consistent Modeling, Aggregation, Inference, and Policy," Working Papers 2014-73, Department of Economics, University of Calgary, revised 29 Sep 2014.
    10. repec:wsi:gjexxx:v:01:y:2012:i:01:n:s225136121250005x is not listed on IDEAS
    11. William A. Barnett & Marcelle Chauvet, 2011. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," World Scientific Book Chapters,in: Financial Aggregation And Index Number Theory, chapter 1, pages 1-51 World Scientific Publishing Co. Pte. Ltd..
    12. 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.
    13. William A Barnett & Unja Chae & John W Keating, 2012. "Forecast Design In Monetary Capital Stock Measurement," Global Journal of Economics (GJE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-53.

    More about this item

    Keywords

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

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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