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Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries

In: Financial Aggregation And Index Number Theory

Author

Listed:
  • William A. Barnett

    (University of Kansas, USA)

Abstract

We derive fundamental theory for measuring monetary service flows aggregated over countries within a multicountry area. We develop three increasingly restrictive approaches: (1) the heterogeneous agents approach, (2) the multilateral representative agent approach, and (3) the unilateral representative agent approach. These results are being used by the European Central Bank in construction of its Divisia monetary aggregates database, with convergence from the most general to the more restrictive approaches expected as economic convergence within the area proceeds. Our theory permits monitoring the effects of policy over a multicountry area, while also monitoring the distribution effects of policy among the countries.

Suggested Citation

  • 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..
    • Handle: RePEc:wsi:wschap:9789814293105_0006
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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. 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).
    3. 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.
    4. 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.
    5. Neepa Gaekwad & William Barnett, 2024. "Multilateral Divisia monetary aggregates for the Euro area," Economics Bulletin, AccessEcon, vol. 44(3), pages 1224-1241.
    6. 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..
    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. 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. 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. 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.
    11. 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.
    12. William A. Barnett & Van H. Nguyen, 2021. "Constructing Divisia Monetary Aggregates for Singapore," JRFM, MDPI, vol. 14(8), pages 1-15, August.
    13. 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..
    14. 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.
    15. 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.
    16. 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.
    17. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    18. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.
    19. 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.
    20. 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.
    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.

    More about this item

    Keywords

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    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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