IDEAS home Printed from https://ideas.repec.org/a/spr/fininn/v9y2023i1d10.1186_s40854-022-00419-5.html
   My bibliography  Save this article

Nonlinear dynamics in Divisia monetary aggregates: an application of recurrence quantification analysis

Author

Listed:
  • Ioannis Andreadis

    (International School of The Hague)

  • Athanasios D. Fragkou

    (University of Thessaly)

  • Theodoros E. Karakasidis

    (University of Thessaly)

  • Apostolos Serletis

    (University of Calgary)

Abstract

We construct recurrence plots (RPs) and conduct recurrence quantification analysis (RQA) to investigate the dynamic properties of the new Center for Financial Stability (CFS) Divisia monetary aggregates for the United States. In this study, we use the latest vintage of Divisia aggregates, maintained within CFS. We use monthly data, from January 1967 to December 2020, which is a sample period that includes the extreme economic events of the 2007–2009 global financial crisis. We then make comparisons between narrow and broad Divisia money measures and find evidence of a nonlinear but reserved possible chaotic explanation of their origin. The application of RPs to broad Divisia monetary aggregates encompasses an additional drift structure around the global financial crisis in 2008. Applying the moving window RQA to the growth rates of narrow and broad Divisia monetary aggregates, we identify periods of changes in data-generating processes and associate such changes to monetary policy regimes and financial innovations that occurred during those times.

Suggested Citation

  • Ioannis Andreadis & Athanasios D. Fragkou & Theodoros E. Karakasidis & Apostolos Serletis, 2023. "Nonlinear dynamics in Divisia monetary aggregates: an application of recurrence quantification analysis," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-17, December.
    • Handle: RePEc:spr:fininn:v:9:y:2023:i:1:d:10.1186_s40854-022-00419-5
    DOI: 10.1186/s40854-022-00419-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1186/s40854-022-00419-5
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1186/s40854-022-00419-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "Robustness of Nonlinearity and Chaos Tests to Measurement Error, Inference Method, and Sample Size," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 529-548, Emerald Group Publishing Limited.
    2. Dery, Cosmas & Serletis, Apostolos, 2021. "Interest Rates, Money, And Economic Activity," Macroeconomic Dynamics, Cambridge University Press, vol. 25(7), pages 1842-1891, October.
    3. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "A Single-Blind Controlled Competition Among Tests for Nonlinearity and Chaos," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 581-615, Emerald Group Publishing Limited.
    4. Hendrickson, Joshua R., 2014. "Redundancy Or Mismeasurement? A Reappraisal Of Money," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1437-1465, October.
    5. Marisa Faggini, 2013. "Chaos Detection in Economic Time Series: Metric versus Topological Tools," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 3(6), pages 1-3.
    6. Libo Xu, "undated". "Functional Monetary Aggregates, Monetary Policy, and Business Cycles," Working Papers 2020-04, Department of Economics, University of Calgary, revised 22 Sep 2020.
    7. 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.
    8. Michael T. Belongia & Peter N. Ireland, 2015. "Interest Rates and Money in the Measurement of Monetary Policy," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(2), pages 255-269, April.
    9. Ramsey, James B & Sayers, Chera L & Rothman, Philip, 1990. "The Statistical Properties of Dimension Calculations Using Small Data Sets: Some Economic Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 991-1020, November.
    10. Apostolos Serletis & Periklis Gogas, 2014. "Divisia Monetary Aggregates, the Great Ratios, and Classical Money Demand Functions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(1), pages 229-241, February.
    11. Facchini, Angelo & Mocenni, Chiara & Marwan, Norbert & Vicino, Antonio & Tiezzi, Enzo, 2007. "Nonlinear time series analysis of dissolved oxygen in the Orbetello Lagoon (Italy)," Ecological Modelling, Elsevier, vol. 203(3), pages 339-348.
    12. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    13. Ramsey, James B & Rothman, Philip, 1994. "Nonlinear Monetary Dynamics: Comment," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(1), pages 135-136, January.
    14. Ramsey, James B. & Sayers, Chera L., 1988. "The Statistical Properties Of Dimension Calculations Using Small Data Sets: Some Economic Applications," Working Papers 88-10, C.V. Starr Center for Applied Economics, New York University.
    15. Belongia, Michael T. & Ireland, Peter N., 2014. "The Barnett critique after three decades: A New Keynesian analysis," Journal of Econometrics, Elsevier, vol. 183(1), pages 5-21.
    16. Bastos, João A. & Caiado, Jorge, 2011. "Recurrence quantification analysis of global stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1315-1325.
    17. James D. Hamilton, 2018. "Why You Should Never Use the Hodrick-Prescott Filter," The Review of Economics and Statistics, MIT Press, vol. 100(5), pages 831-843, December.
    18. Apostolos Serletis, 2006. "Random Walks, Breaking Trend Functions, and the Chaotic Structure of the Velocity of Money," World Scientific Book Chapters, in: Money And The Economy, chapter 6, pages 119-130, World Scientific Publishing Co. Pte. Ltd..
    19. Strozzi, Fernanda & Zaldı́var, José-Manuel & Zbilut, Joseph P, 2002. "Application of nonlinear time series analysis techniques to high-frequency currency exchange data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 520-538.
    20. Ellington, Michael, 2018. "The case for Divisia monetary statistics: A Bayesian time-varying approach," Journal of Economic Dynamics and Control, Elsevier, vol. 96(C), pages 26-41.
    21. Finn E. Kydland & Edward C. Prescott, 1990. "Business cycles: real facts and a monetary myth," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 14(Spr), pages 3-18.
    22. A. Fabretti & M. Ausloos, 2005. "Recurrence Plot And Recurrence Quantification Analysis Techniques For Detecting A Critical Regime. Examples From Financial Market Inidices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 671-706.
    23. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    24. William Barnett & Jia Liu & Ryan Mattson & Jeff Noort, 2013. "The New CFS Divisia Monetary Aggregates: Design, Construction, and Data Sources," Open Economies Review, Springer, vol. 24(1), pages 101-124, February.
    25. Serletis, Apostolos & Shintani, Mototsugu, 2006. "Chaotic monetary dynamics with confidence," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 228-252, March.
    26. Barnett, William A. & Serletis, Apostolos, 2000. "Martingales, nonlinearity, and chaos," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 703-724, June.
    27. Michael T. Belongia & Peter N. Ireland, 2016. "Money and Output: Friedman and Schwartz Revisited," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(6), pages 1223-1266, September.
    28. Dai, Wei & Serletis, Apostolos, 2019. "On the Markov switching welfare cost of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    29. 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.
    30. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    31. DeCoster, Gregory P & Mitchell, Douglas W, 1991. "Nonlinear Monetary Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 455-461, October.
    32. Barkoulas, John T., 2008. "Testing for deterministic monetary chaos: Metric and topological diagnostics," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1013-1024.
    Full references (including those not matched with items on IDEAS)

    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. Dery, Cosmas & Serletis, Apostolos, 2021. "Interest Rates, Money, And Economic Activity," Macroeconomic Dynamics, Cambridge University Press, vol. 25(7), pages 1842-1891, October.
    2. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    3. Marisa Faggini, 2011. "Chaotic Time Series Analysis in Economics: Balance and Perspectives," Working papers 25, Former Department of Economics and Public Finance "G. Prato", University of Torino.
    4. Serletis, Apostolos & Uritskaya, Olga Y., 2007. "Detecting signatures of stochastic self-organization in US money and velocity measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 281-291.
    5. Belongia, Michael T. & Ireland, Peter N., 2019. "The demand for Divisia Money: Theory and evidence," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    6. Liu, Jinan & Dery, Cosmas & Serletis, Apostolos, 2020. "Recent monetary policy and the credit card-augmented Divisia monetary aggregates," Journal of Macroeconomics, Elsevier, vol. 64(C).
    7. Michael T. Belongia & Peter N. Ireland, 2021. "A Classical View of the Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(2-3), pages 333-366, March.
    8. Serletis, Apostolos & He, Mingyu & Chowdhury, M.M. Islam, 2023. "Chaos in long-maturity real rates," Economics Letters, Elsevier, vol. 225(C).
    9. Barnett, William A. & Su, Liting, 2020. "Financial Firm Production Of Inside Monetary And Credit Card Services: An Aggregation Theoretic Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 24(1), pages 130-160, January.
    10. William A. Barnett & Van H. Nguyen, 2021. "Constructing Divisia Monetary Aggregates for Singapore," JRFM, MDPI, vol. 14(8), pages 1-15, August.
    11. 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.
    12. Anderson, Richard G. & Duca, John V. & Fleissig, Adrian R. & Jones, Barry E., 2019. "New monetary services (Divisia) indexes for the post-war U.S," Journal of Financial Stability, Elsevier, vol. 42(C), pages 3-17.
    13. Chen, Zhengyang & Valcarcel, Victor J., 2021. "Monetary transmission in money markets: The not-so-elusive missing piece of the puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 131(C).
    14. William Barnett & Liting Su, 2017. "Financial Firm Production Of Inside Monetary And Credit Card Services: An Aggregation Theoretic Approach1," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201707, University of Kansas, Department of Economics, revised Oct 2017.
    15. Barnett, William A. & Su, Liting, 2019. "Risk Adjustment Of The Credit-Card Augmented Divisia Monetary Aggregates," Macroeconomic Dynamics, Cambridge University Press, vol. 23(S1), pages 90-114, September.
    16. Serletis, Apostolos & Xu, Libo, 2021. "The welfare cost of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 128(C).
    17. Belongia, Michael T. & Ireland, Peter N., 2022. "A reconsideration of money growth rules," Journal of Economic Dynamics and Control, Elsevier, vol. 135(C).
    18. Cosmas Dery & Apostolos Serletis, 2023. "Macroeconomic Fluctuations in the United States: The Role of Monetary and Fiscal Policy Shocks," Open Economies Review, Springer, vol. 34(5), pages 961-977, November.
    19. William Barnett & Marcelle Chauvet & Danilo Leiva-Leon & Liting Su, 2016. "The Credit-Card-Services Augmented Divisia Monetary Aggregates," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201604, University of Kansas, Department of Economics, revised Aug 2016.
    20. Serletis, Apostolos & Shintani, Mototsugu, 2006. "Chaotic monetary dynamics with confidence," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 228-252, March.

    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:spr:fininn:v:9:y:2023:i:1:d:10.1186_s40854-022-00419-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.