IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/109820.html
   My bibliography  Save this paper

Chaos in the UK New Keynesian Macroeconomy

Author

Listed:
  • Barnett, William
  • Bella, Giovanni
  • Ghosh, Taniya
  • Mattana, Paolo
  • Venturi, Beatrice

Abstract

We study the stability properties and conditions for the onset of Shilnikov chaos in the UK New Keynesian macroeconomy, as well as the shifts in the equilibrium dynamics under various policy regimes. We find that Shilnikov chaos emerges for a restricted part of the free parameters space in the baseline rational expectations UK model with no regime switching. When the UK's central bank showed a weak response to inflation in the high inflation regime, the chaos did not occur at all. But Shilnikov chaos appears easily in the case of the low-inflation regime, which is associated with the Bank of England's use of aggressive monetary policy in recent years. Tightening the monetary policy interest-rate-feedback rule via the Taylor coefficient is one of the policy alternatives proposed by the local analysis for restoring uniqueness. We find that doing so accelerates the emergence of unanticipated phenomena such as Shilnikov's chaotic dynamics. Our results with UK data are thereby consistent with the results with US data by Barnett et al. (2021), who found that the adoption of an active interest rate feedback rule in recent years by the Federal Reserve produces Shilnikov chaos and unintentional downward drift in interest rates towards the lower bound. The source of the chaos and downward drift in interest rates is adoption of a myopic short-run interest-rate feedback rule without a terminal condition as long run anchor. A critical assumption of the results with US and UK data are existence of new Keynesian sticky prices. While the model’s parameters were calibrated with pre-Brexit data, we expect that our results will be highly relevant post-Brexit, as the needed data become available. Changes in the geometry of the Shilnikov fractal attractor set can be expected to be revealing about changes in the level and nature of UK economic risk following Brexit.

Suggested Citation

  • Barnett, William & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2021. "Chaos in the UK New Keynesian Macroeconomy," MPRA Paper 109820, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:109820
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/109820/1/MPRA_paper_109820.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/110336/8/MPRA_paper_110336.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Michael T. Kiley, 2007. "Is Moderate-to-High Inflation Inherently Unstable?," International Journal of Central Banking, International Journal of Central Banking, vol. 3(2), pages 173-201, June.
    2. Olivier Coibion & Yuriy Gorodnichenko, 2011. "Monetary Policy, Trend Inflation, and the Great Moderation: An Alternative Interpretation," American Economic Review, American Economic Association, vol. 101(1), pages 341-370, February.
    3. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    4. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    5. Lubik, Thomas A. & Schorfheide, Frank, 2007. "Do central banks respond to exchange rate movements? A structural investigation," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1069-1087, May.
    6. Carl E. Walsh, 2010. "Monetary Theory and Policy, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262013770, April.
    7. Eiji Tsuzuki, 2016. "Fiscal policy lag and equilibrium determinacy in a continuous-time New Keynesian model," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 63(3), pages 215-232, September.
    8. Jess Benhabib & Stephanie Schmitt-Grohé & Martín Uribe, 2002. "Chaotic Interest-Rate Rules," American Economic Review, American Economic Association, vol. 92(2), pages 72-78, May.
    9. Barnett, William A. & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2022. "Shilnikov chaos, low interest rates, and New Keynesian macroeconomics," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    10. Michael Kumhof & Ricardo Nunes & Irina Yakadina, 2010. "Simple Monetary Rules under Fiscal Dominance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(1), pages 63-92, February.
    11. Luca Benati, 2003. "Evolving Post-World War II U.K. Economic Performance," Computing in Economics and Finance 2003 171, Society for Computational Economics.
    12. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
    13. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    14. Benhabib, Jess & Evans, George W. & Honkapohja, Seppo, 2014. "Liquidity traps and expectation dynamics: Fiscal stimulus or fiscal austerity?," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 220-238.
    15. Le Riche, Antoine & Magris, Francesco & Parent, Antoine, 2017. "Liquidity Trap and stability of Taylor rules," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 16-27.
    16. Edge, Rochelle M. & Rudd, Jeremy B., 2007. "Taxation and the Taylor principle," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2554-2567, November.
    17. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    18. Nelson, Edward & Nikolov, Kalin, 2004. "Monetary Policy and Stagflation in the UK," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(3), pages 293-318, June.
    19. Luis-Felipe Zanna & Mr. Marco Airaudo, 2012. "Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies," IMF Working Papers 2012/121, International Monetary Fund.
    20. Gisle James Natvik, 2009. "Government Spending and the Taylor Principle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(1), pages 57-77, February.
    21. Philip Liu & Haroon Mumtaz, 2011. "Evolving Macroeconomic Dynamics in a Small Open Economy: An Estimated Markov Switching DSGE Model for the UK," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(7), pages 1443-1474, October.
    22. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    23. 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.
    24. Sveen, Tommy & Weinke, Lutz, 2007. "Firm-specific capital, nominal rigidities, and the Taylor principle," Journal of Economic Theory, Elsevier, vol. 136(1), pages 729-737, September.
    25. Philip Liu & Haroon Mumtaz, 2011. "Evolving Macroeconomic Dynamics in a Small Open Economy: An Estimated Markov Switching DSGE Model for the UK," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(7), pages 1443-1474, October.
    26. Bella, Giovanni & Mattana, Paolo & Venturi, Beatrice, 2017. "Shilnikov chaos in the Lucas model of endogenous growth," Journal of Economic Theory, Elsevier, vol. 172(C), pages 451-477.
    27. Sveen, Tommy & Weinke, Lutz, 2005. "New perspectives on capital, sticky prices, and the Taylor principle," Journal of Economic Theory, Elsevier, vol. 123(1), pages 21-39, July.
    28. Wang, Ping & Yip, Chong K, 1992. "Alternative Approaches to Money and Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(4), pages 553-562, November.
    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. Barnett, William A. & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2022. "Is policy causing chaos in the United Kingdom?," Economic Modelling, Elsevier, vol. 108(C).
    2. Barnett, William A. & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2022. "Shilnikov chaos, low interest rates, and New Keynesian macroeconomics," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    3. Magris, Francesco & Onori, Daria, 2024. "Taylor and fiscal rules: When do they stabilize the economy?," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 68-89.
    4. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
    5. Marco Airaudo & Luis-Felipe Zanna, 2004. "Endogenous Fluctuations in Open Economies: The Perils of Taylor Rules Revisited," Money Macro and Finance (MMF) Research Group Conference 2004 6, Money Macro and Finance Research Group.
    6. Kurozumi, Takushi & Van Zandweghe, Willem, 2017. "Trend Inflation And Equilibrium Stability: Firm-Specific Versus Homogeneous Labor," Macroeconomic Dynamics, Cambridge University Press, vol. 21(4), pages 947-981, June.
    7. Barnett William A. & Bella Giovanni & Ghosh Taniya & Mattana Paolo & Venturi Beatrice, 2023. "Controlling chaos in New Keynesian macroeconomics," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 27(2), pages 219-236, April.
    8. Honkapohja, Seppo & Mitra, Kaushik, 2020. "Price level targeting with evolving credibility," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 88-103.
    9. Michael Woodford, 2013. "Macroeconomic Analysis Without the Rational Expectations Hypothesis," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 303-346, May.
    10. Marco Airaudo, 2017. "Complex stock price dynamics under Max Weber’s spirit of capitalism hypothesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 47-73, June.
    11. Stephanie Schmitt‐Grohé & Martín Uribe, 2009. "Liquidity traps with global Taylor Rules," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 85-106, March.
    12. Benhabib, Jess & Eusepi, Stefano, 2005. "The design of monetary and fiscal policy: A global perspective," Journal of Economic Theory, Elsevier, vol. 123(1), pages 40-73, July.
    13. Seppo Honkapohja, 2016. "Monetary policies to counter the zero interest rate: an overview of research," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 43(2), pages 235-256, May.
    14. William A. Barnett & Unal Eryilmaz, 2022. "Monetary Policy and Determinacy: An Inquiry in Open Economy New Keynesian Framework," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202203, University of Kansas, Department of Economics.
    15. William A. Barnett & Unal Eryilmaz, 2023. "Monetary Policy and Determinacy: An Inquiry into Open Economy New Keynesian Macrodynamics," Open Economies Review, Springer, vol. 34(2), pages 217-253, April.
    16. Le Riche, Antoine & Magris, Francesco & Parent, Antoine, 2017. "Liquidity Trap and stability of Taylor rules," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 16-27.
    17. Seppo Honkapohja & Kaushik Mitra, 2015. "Comparing Inflation and Price-Level Targeting: The Role of Forward Guidance and Transparency," Manchester School, University of Manchester, vol. 83, pages 27-59, December.
    18. Gilles Dufrénot & Anwar Khayat, 2014. "Monetary Policy Switching in the Euro Area and Multiple Equilibria: An Empirical Investigation," AMSE Working Papers 1408, Aix-Marseille School of Economics, France, revised Jan 2014.
    19. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 2003. "Backward-looking interest-rate rules, interest-rate smoothing, and macroeconomic instability," Proceedings, Federal Reserve Bank of Cleveland, pages 1379-1423.
    20. Khan, Shujaat & Knotek, Edward S., 2015. "Drifting inflation targets and monetary stagflation," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 39-54.

    More about this item

    Keywords

    Shilnikov chaos criterion; long-term un-predictability; liquidity trap;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury 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:109820. 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.