IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/54808.html
   My bibliography  Save this paper

The Foley Liquidity / Profit-Rate Cycle Model Reconsidered

Author

Listed:
  • Moreira, Helmar Nunes
  • Araujo, Ricardo Azevedo
  • Flaschel, Peter

Abstract

In this paper, we reconsider the Foley model of Liquidity / Profit-Rate Cycles where such cycles are generated as bifurcations from initially attracting steady states if a parameter of the model crosses a critical value, for example the growth rate of money supply as in the Foley paper. We employ a slightly modified version of the Foley model and provide sufficient conditions for the local asymptotic stability of its balanced growth path. A second theorem then shows the existence of a Hopf-bifurcation derived from such a stable situation by decreasing the growth rate of liquidity to a sufficient degree. The generated cycles are studied from the numerical point of view in addition.

Suggested Citation

  • Moreira, Helmar Nunes & Araujo, Ricardo Azevedo & Flaschel, Peter, 2014. "The Foley Liquidity / Profit-Rate Cycle Model Reconsidered," MPRA Paper 54808, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:54808
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/54808/1/MPRA_paper_54808.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. R. M. Goodwin, 1982. "Essays in Economic Dynamics," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-05504-3.
    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. Giancarlo Gandolfo, 2015. "The Tobin tax in a continuous-time non-linear dynamic model of the exchange rate," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 39(6), pages 1629-1643.
    2. Andrea Di Ronco & Francesca Giacobbo & Antonio Cammi, 2020. "A Kalman Filter-Based Approach for Online Source-Term Estimation in Accidental Radioactive Dispersion Events," Sustainability, MDPI, vol. 12(23), pages 1-19, November.
    3. Sordi, Serena, 1998. "The macrodynamics of business cycles: A comparative evaluation : Mohammed H.I. Dore, Blackwell, Cambridge MA and Oxford UK, 1993, $ 24.95, 242 pp," Journal of Economic Dynamics and Control, Elsevier, vol. 22(2), pages 321-328, February.
    4. Michaël Assous & Vincent Carret, 2021. "Relaxation oscillations in the early development of econometrics: coming (almost) full circle (1929-1951)," Working Papers halshs-03206795, HAL.
    5. Luis A. Aguirre & Antonio Aguirre, 1997. "A tutorial introduction to nonlinear dynamics in economics," Nova Economia, Economics Department, Universidade Federal de Minas Gerais (Brazil), vol. 7(2), pages 9-47.
    6. K. Vela Velupillai, 2012. "Iteration, Tâtonnement, Computation and Economic Dynamics," ASSRU Discussion Papers 1213, ASSRU - Algorithmic Social Science Research Unit.
    7. Sordi, Serena & Vercelli, Alessandro, 2006. "Discretely proceeding from cycle to chaos on Goodwin's path," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 415-436, December.
    8. Uwe Cantner & Simone Vannuccini, 2017. "Innovation and lock-in," Chapters, in: Harald Bathelt & Patrick Cohendet & Sebastian Henn & Laurent Simon (ed.), The Elgar Companion to Innovation and Knowledge Creation, chapter 11, pages 165-181, Edward Elgar Publishing.
    9. Geoff Harcourt, 2011. "On the Concept of Period and Run in Economic Theory," Discussion Papers 2011-11, School of Economics, The University of New South Wales.
    10. Sasakura, Kazuyuki, 1996. "The business cycle model with a unique stable limit cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1763-1773.
    11. Frédéric Lordon, 1995. "Cycles et chaos dans un modèle hétérodoxe de croissance endogène," Revue Économique, Programme National Persée, vol. 46(6), pages 1405-1432.
    12. Giuseppe Catturi, 2022. "L?azienda ? organismo resiliente. Le possibili reazioni alle crisi economiche," MANAGEMENT CONTROL, FrancoAngeli Editore, vol. 2022(3), pages 177-202.
    13. Grodzicki, Maciej J. & Możdżeń, Michał, 2021. "Central and Eastern European economies in a Goldilocks age: A model of labor market institutional choice," Economic Modelling, Elsevier, vol. 104(C).
    14. Barnett, William A. & Serletis, Apostolos & Serletis, Demitre, 2015. "Nonlinear And Complex Dynamics In Economics," Macroeconomic Dynamics, Cambridge University Press, vol. 19(8), pages 1749-1779, December.
    15. Tripathi, Jai Prakash & Bugalia, Sarita & Burdak, Kavita & Abbas, Syed, 2021. "Dynamical analysis and effects of law enforcement in a social interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    16. Catherine P. Winnett & Adrian B. Winnett, 2011. "Innovation, Growth, Cycles and Finance: Three (or Four or More) Stories from the 1930s and their Lessons," Chapters, in: Óscar Dejuán & Eladio Febrero & Maria Cristina Marcuzzo (ed.), The First Great Recession of the 21st Century, chapter 7, Edward Elgar Publishing.
    17. M. H. I. Dore, 1984. "On the Concept of Equilibrium," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 7(2), pages 193-206, December.
    18. Grabner, Christian & Hahn, Heiko & Leopold-Wildburger, Ulrike & Pickl, Stefan, 2009. "Analyzing the sustainability of harvesting behavior and the relationship to personality traits in a simulated Lotka-Volterra biotope," European Journal of Operational Research, Elsevier, vol. 193(3), pages 761-767, March.
    19. Freeman, Alan, 2000. "Has the empire struck back? ‘new paradigm’ globalisation or return to classical imperialism?," MPRA Paper 2589, University Library of Munich, Germany.
    20. Punzo, Lionello F., 2006. "Towards a disequilibrium theory of structural dynamics: Goodwin's contribution," Structural Change and Economic Dynamics, Elsevier, vol. 17(4), pages 382-399, December.

    More about this item

    Keywords

    Liquidity / Profit-Rate Cycle; Stability Conditions; Hopf-bifurcation.;
    All these keywords.

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E64 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Incomes Policy; Price Policy

    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:pra:mprapa:54808. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.