IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpma/0412009.html
   My bibliography  Save this paper

Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries

Author

Listed:
  • 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, University Library of Munich, Germany.
  • 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.
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/mac/papers/0412/0412009.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    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, University Library of Munich, Germany.
    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. William A. Barnett, 2000. "Economic Monetary Aggregates: An Application of Index Number and Aggregation Theory," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 11-48, Emerald Group Publishing Limited.
    7. Stracca, Livio, 2001. "Does liquidity matter? Properties of a synthetic divisia monetary aggregate in the euro area," Working Paper Series 79, European Central Bank.
    8. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank.
    9. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    10. Drake, L. & Mullineux, A., 1995. "One Divisa Money for Europe?," Discussion Papers 95-04, Department of Economics, University of Birmingham.
    11. William A. Barnett, 2000. "The User Cost of Money," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 6-10, Emerald Group Publishing Limited.
    12. William A. Barnett, 2003. "Aggregation-Theoretic Monetary Aggregation over the Euro Area, when Countries are Heterogeneous," Macroeconomics 0309018, University Library of Munich, Germany.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    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. 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.
    19. 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.
    20. Michael T. Belongia & Jane M. Binner (ed.), 2000. "Divisia Monetary Aggregates," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-28823-2, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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. Gangopadhyay, Partha, 2020. "A new & simple model of currency crisis: Bifurcations and the emergence of a bad equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    4. El-Shagi, Makram & Kelly, Logan, 2019. "What can we learn from country-level liquidity in the EMU?," Journal of Financial Stability, Elsevier, vol. 42(C), pages 75-83.
    5. Barnett, William A. & Wang, Chan & Wang, Xue & Wu, Liyuan, 2019. "What inflation measure should a currency union target?," Journal of Macroeconomics, Elsevier, vol. 59(C), pages 123-139.
    6. Barnett, William & Gaekwad, Neepa, 2021. "Multilateral Divisia monetary aggregates for the Euro Area," MPRA Paper 105528, University Library of Munich, Germany.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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..
    13. 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.
    14. William A. Barnett & Van H. Nguyen, 2021. "Constructing Divisia Monetary Aggregates for Singapore," JRFM, MDPI, vol. 14(8), pages 1-15, August.
    15. 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.
    16. 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.
    17. Chen, Huayi & Zhou, P., 2019. "Modeling systematic technology adoption: Can one calibrated representative agent represent heterogeneous agents?," Omega, Elsevier, vol. 89(C), pages 257-270.
    18. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    19. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.
    20. Calza, Alessandro & Zaghini, Andrea, 2009. "Nonlinearities In The Dynamics Of The Euro Area Demand For M1," Macroeconomic Dynamics, Cambridge University Press, vol. 13(1), pages 1-19, February.
    21. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. William A. Barnett, 2003. "Aggregation-Theoretic Monetary Aggregation over the Euro Area, when Countries are Heterogeneous," Macroeconomics 0309018, University Library of Munich, Germany.
    2. Reimers, Hans-Eggert, 2002. "Analysing Divisia Aggregates for the Euro Area," Discussion Paper Series 1: Economic Studies 2002,13, Deutsche Bundesbank.
    3. 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.
    4. Reimers Hans-Eggert, 2003. "Does Money Include Information for Prices in the Euro Area? / Enthält Geld Informationen für die Preisentwicklung im Eurowährungsgebiet?," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 223(5), pages 581-602, October.
    5. William Barnett & Shu Wu, 2004. "Intertemporally non-separable monetary-asset risk adjustment and aggregation," Economics Bulletin, AccessEcon, vol. 5(13), pages 1-9.
    6. 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..
    7. 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.
    8. Jane Binner & Rakesh Bissoondeeal & Thomas Elger & Alicia Gazely & Andrew Mullineux, 2005. "A comparison of linear forecasting models and neural networks: an application to Euro inflation and Euro Divisia," Applied Economics, Taylor & Francis Journals, vol. 37(6), pages 665-680.
    9. repec:ebl:ecbull:v:5:y:2004:i:13:p:1-9 is not listed on IDEAS
    10. 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.
    11. 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.
    12. J. M. Binner & R. K. Bissoondeeal & A. W. Mullineux, 2005. "A composite leading indicator of the inflation cycle for the Euro area," Applied Economics, Taylor & Francis Journals, vol. 37(11), pages 1257-1266.
    13. Barnett, William A. & Liu, Jinan, 2019. "User cost of credit card services under risk with intertemporal nonseparability," Journal of Financial Stability, Elsevier, vol. 42(C), pages 18-35.
    14. William Barnett & Liting Su, 2014. "The Joint Services of Money and Credit," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201407, University of Kansas, Department of Economics, revised Dec 2014.
    15. Jane Binner & Rakesh Bissoondeeal & Thomas Elger & Alicia Gazely & Andrew Mullineux, 2004. "Vector autoregressive models versus neural networks in forecasting: an application to Euro-inflation and divisia money," Money Macro and Finance (MMF) Research Group Conference 2003 5, Money Macro and Finance Research Group.
    16. Binner, Jane M. & Chaudhry, Sajid & Kelly, Logan & Swofford, James L., 2018. "“Risky” monetary aggregates for the UK and US," Journal of International Money and Finance, Elsevier, vol. 89(C), pages 127-138.
    17. 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..
    18. William A. Barnett & Melvin J. Hinich & Piyu Yue, 2011. "The Exact Theoretical Rational Expectations Monetary Aggregate," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 2, pages 53-84, World Scientific Publishing Co. Pte. Ltd..
    19. Ryan S. Mattson & Philippe de Peretti, 2014. "Investigating the Role of Real Divisia Money in Persistence-Robust Econometric Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00984827, HAL.
    20. William A. Barnett & Chang Ho Kwag, 2011. "Exchange Rate Determination from Monetary Fundamentals: An Aggregation Theoretic Approach," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 5, pages 151-166, World Scientific Publishing Co. Pte. Ltd..
    21. William A. Barnett, 2000. "Which Road Leads to Stable Money Demand?," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 577-592, Emerald Group Publishing Limited.

    More about this item

    Keywords

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpma:0412009. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.