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Aggregation-theoretic monetary aggregation over the euro area, when countries are heterogeneous

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  • Barnett, William A.

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. JEL Classification: C43, C82, E41, E51, F31

Suggested Citation

  • Barnett, William A., 2003. "Aggregation-theoretic monetary aggregation over the euro area, when countries are heterogeneous," Working Paper Series 260, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:2003260
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    1. Swofford, James L., 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, Elsevier, vol. 9(2), pages 121-128, December.
    2. 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.
    3. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank.
    4. Richard G. Anderson, 2006. "Monetary base," Working Papers 2006-049, Federal Reserve Bank of St. Louis.
    5. 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.
    6. W. Erwin Diewert, 1980. "Aggregation Problems in the Measurement of Capital," NBER Chapters, in: The Measurement of Capital, pages 433-538, National Bureau of Economic Research, Inc.
    7. Usher, Dan (ed.), 1980. "The Measurement of Capital," National Bureau of Economic Research Books, University of Chicago Press, number 9780226843001, January.
    8. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(1), pages 109-130.
    9. 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.
    10. Leigh Drake & Andy Mullineux & Juda Agung, 1997. "One Divisia money for Europe?," Applied Economics, Taylor & Francis Journals, vol. 29(6), pages 775-786.
    11. Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-533, December.
    12. W.A. Barnett, 2004. "The Joint Allocation of Leisure and Goods Expenditure," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 41-73, Emerald Group Publishing Limited.
    13. Apostolos Serletis, 2007. "The Demand for Money," Springer Books, Springer, edition 0, number 978-0-387-71727-2, September.
    14. Michael T. Belongia & Jane M. Binner (ed.), 2000. "Divisia Monetary Aggregates," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-28823-2, March.
    15. Fisher, Franklin M. & Shell, Karl, 1972. "The Economic Theory of Price Indices," Elsevier Monographs, Elsevier, edition 1, number 9780122577505 edited by Shell, Karl.
    16. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    17. Stracca, Livio, 2001. "Does liquidity matter? Properties of a synthetic divisia monetary aggregate in the euro area," Working Paper Series 79, European Central Bank.
    18. Richard G. Anderson & Barry E. Jones & Travis D. Nesmith, 1996. "Monetary aggregation theory and statistical index numbers," Working Papers 1996-007, Federal Reserve Bank of St. Louis.
    19. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    20. Drake, L. & Mullineux, A., 1995. "One Divisa Money for Europe?," Discussion Papers 95-04, Department of Economics, University of Birmingham.
    21. 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.
    22. Fisher,Franklin M. & Shell,Karl, 1998. "Economic Analysis of Production Price Indexes," Cambridge Books, Cambridge University Press, number 9780521556231, November.
    23. James L Swofford, 2000. "Microeconomic foundations of an optimal currency area," Review of Financial Economics, John Wiley & Sons, vol. 9(2), pages 121-128, December.
    24. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    25. 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.
    26. Martin M. G. Fase, 2000. "Divisia Aggregates and the Demand for Money in Core EMU," Palgrave Macmillan Books, in: Michael T. Belongia & Jane M. Binner (ed.), Divisia Monetary Aggregates, chapter 7, pages 138-169, Palgrave Macmillan.
    27. Dan Usher, 1980. "The Measurement of Capital," NBER Books, National Bureau of Economic Research, Inc, number ushe80-1, January.
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    Cited by:

    1. Ryadh M. Alkhareif & William A. Barnett, 2012. "Divisia Monetary Aggregates for the GCC Countries," International Symposia in Economic Theory and Econometrics, in: Recent Developments in Alternative Finance: Empirical Assessments and Economic Implications, pages 1-37, Emerald Group Publishing Limited.
    2. Swofford, James L., 2008. "Tests of microeconomic foundations of Asian common currency areas," Journal of Asian Economics, Elsevier, vol. 19(3), pages 254-258, June.
    3. Barnett, William & Gaekwad, Neepa, 2021. "Multilateral Divisia monetary aggregates for the Euro Area," MPRA Paper 105528, University Library of Munich, Germany.
    4. William A. Barnett, 2011. "Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 6, pages 167-206, World Scientific Publishing Co. Pte. Ltd..
    5. Jones, Barry E. & Fleissig, Adrian R. & Elger, Thomas & Dutkowsky, Donald H., 2008. "Monetary policy and monetary asset substitution," Economics Letters, Elsevier, vol. 99(1), pages 18-22, April.
    6. 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.
    7. Ascari, Guido & Rankin, Neil, 2007. "Perpetual youth and endogenous labor supply: A problem and a possible solution," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 708-723, December.
    8. 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, vol. 93(Sep), pages 325-360.
    9. Maximilian C. Brill & Dieter Nautz & Lea Sieckmann, 2021. "Divisia monetary aggregates for a heterogeneous euro area," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 48(1), pages 247-278, February.
    10. Duca, John V. & VanHoose, David D., 2004. "Recent developments in understanding the demand for money," Journal of Economics and Business, Elsevier, vol. 56(4), pages 247-272.
    11. 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..
    12. Michael T. Belongia & Peter N. Ireland, 2022. "Strengthening the second pillar: a greater role for money in the ECB’s strategy," Applied Economics, Taylor & Francis Journals, vol. 54(1), pages 99-114, January.
    13. Sunil Paul & Sartaj Rasool Rather & M. Ramachandran, 2015. "Money and Inflation: Evidence from P-Star Model," Working Papers 2015-115, Madras School of Economics,Chennai,India.
    14. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    15. William Barnett & Shu Wu, 2004. "Intertemporally non-separable monetary-asset risk adjustment and aggregation," Economics Bulletin, AccessEcon, vol. 5(13), pages 1-9.
    16. James L. Swofford, 2005. "Tests of microeconomic foundations of a North American common currency area," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(2), pages 420-429, May.
    17. Livio Stracca, 2004. "Does Liquidity Matter? Properties of a Divisia Monetary Aggregate in the Euro Area," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 309-331, July.
    18. repec:ebl:ecbull:v:5:y:2004:i:13:p:1-9 is not listed on IDEAS
    19. Calza, Alessandro & Zaghini, Andrea, 2006. "Non-linear dynamics in the euro area demand for M1," Working Paper Series 592, European Central Bank.
    20. Elger, C. Thomas & Jones, Barry E. & Edgerton, David L. & Binner, Jane M., 2008. "A Note On The Optimal Level Of Monetary Aggregation In The United Kingdom," Macroeconomic Dynamics, Cambridge University Press, vol. 12(1), pages 117-131, February.
    21. Binner, Jane M. & Bissoondeeal, Rakesh K. & Elger, C. Thomas & Jones, Barry E. & Mullineux, Andrew W., 2009. "Admissible monetary aggregates for the euro area," Journal of International Money and Finance, Elsevier, vol. 28(1), pages 99-114, February.
    22. Wenjuan Chen & Dieter Nautz, 2015. "The Information Content of Monetary Statistics for the Great Recession: Evidence from Germany," SFB 649 Discussion Papers SFB649DP2015-027, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    23. Israr Ahmad Shah Hashmi & Arshad Ali Bhatti, 2019. "On the monetary measures of global liquidity," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 5(1), pages 1-23, December.

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    More about this item

    Keywords

    Aggregation over Countries; euro area; heterogeneous agents; Monetary Aggregation; Multilateral Aggregation;
    All these keywords.

    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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