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Aggregation-Theoretic Monetary Aggregation over the Euro Area, when Countries are Heterogeneous

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William A. Barnett (University of Kansas)

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Abstract

We derive fundamental new theory for measuring monetary service flows aggregated over countries within the European Monetary Union (EMU). 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. In our most general approach, we assume the existence of a representative consumer within each country to aggregate within each country. We use a stochastic approach to aggregation across countries over the heterogeneous representative agents, and we derive the resulting formulas for stochastic aggregation over countries. Our theory permits monitoring the effects of policy at the aggregate level over the euro area, while also monitoring the distribution effects of policy among the countries of the euro area. Our approach requires the simultaneous use of two inflation indexes over the euro area.

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Paper provided by EconWPA in its series Macroeconomics with number 0309018.

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Date of creation: 24 Sep 2003
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Handle: RePEc:wpa:wuwpma:0309018

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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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Find related papers by JEL classification:
E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
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

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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. Drake, Leigh & Mullineux, Andy & Agung, Juda, 1997. "One Divisia Money for Europe?," Applied Economics, Taylor and Francis Journals, vol. 29(6), pages 775-86, June. [Downloadable!] (restricted)
  3. António Afonso & Ludger Schuknecht & Vito Tanzi, 2005. "Public sector efficiency: An international comparison," Public Choice, Springer, vol. 123(3), pages 321-347, June. [Downloadable!] (restricted)
    Other versions:
  4. Bernd Schnatz & Chiara Osbat & Rasmus Rueffer, 2003. "The rise of the Yen vis-a-vis the ('Synthetic') Euro: is it supported by economic fundamentals?," Working Paper Series 224, European Central Bank. [Downloadable!]
  5. Efrem Castelnuovo, 2004. "Describing the Fed's conduct with simple Taylor rules: is interest rate smoothing important?," Money Macro and Finance (MMF) Research Group Conference 2003 12, Money Macro and Finance Research Group. [Downloadable!]
  6. Swofford, James L., 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, Elsevier, vol. 9(2), pages 121-128, December. [Downloadable!] (restricted)
  7. Miquel A. Leon-Ledesma & Peter McAdam, 2003. "Unemployment, hysteresis and transition," Working Paper Series 234, European Central Bank. [Downloadable!]
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  8. Erwin Diewert, 2002. "Harmonized Indexes of Consumer Prices: their conceptual foundations," Working Paper Series 130, European Central Bank. [Downloadable!]
  9. Barnett, William A, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Blackwell Publishing, vol. 46(1), pages 109-30, January. [Downloadable!] (restricted)
  10. Ignazio Angeloni & Gunter Coenen & Frank Smets, 2003. "Persistence, The Transmission Mechanism And Robust Monetary Policy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(5), pages 527-549, November. [Downloadable!] (restricted)
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  11. Samuelson, Paul A & Sato, Ryuzo, 1984. "Unattainability of Integrability and Definiteness Conditions in the General Case of Demand for Money and Goods," American Economic Review, American Economic Association, vol. 74(4), pages 588-604, September. [Downloadable!] (restricted)
  12. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Oxford University Press, vol. 12(4), pages 517-33, December.
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  15. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May. [Downloadable!] (restricted)
  16. Barnett, William A, 1979. "The Joint Allocation of Leisure and Goods Expenditure," Econometrica, Econometric Society, vol. 47(3), pages 539-63, May. [Downloadable!] (restricted)
  17. Inoue, Atsushi & Kilian, Lutz, 2003. "On the Selection of Forecasting Models," CEPR Discussion Papers 3809, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  18. Richard G. Anderson & Barry Jones & Travis Nesmith, 1996. "Monetary aggregation theory and statistical index numbers," Working Papers 1996-007, Federal Reserve Bank of St. Louis. [Downloadable!]
  19. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank, Research Centre. [Downloadable!]
  20. Andrea Zaghini, 2003. "Trade advantages and specialisation dynamics in acceding countries," Working Paper Series 249, European Central Bank. [Downloadable!]
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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. Alessandro Calza & Andrea Zaghini, 2006. "Non-linear dynamics in the euro area demand for M1," Working Paper Series 592, European Central Bank. [Downloadable!]
  2. William A. Barnett, 2004. "Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries," Macroeconomics 0412009, EconWPA. [Downloadable!]
    Other versions:
  3. 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. [Downloadable!]
    Other versions:
  4. William A. Barnett & Shu Wu, 2004. "Intertemporally non-separable monetary-asset risk adjustment and aggregation," Macroeconomics 0406010, EconWPA. [Downloadable!]
    Other versions:
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