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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
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Carl E. Walsh, 2010. "Monetary Theory and Policy, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262013770, December.
    11. 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.
    12. 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.
    13. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    14. 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.
    15. Luca Benati, 2003. "Evolving Post-World War II U.K. Economic Performance," Computing in Economics and Finance 2003 171, Society for Computational Economics.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Edge, Rochelle M. & Rudd, Jeremy B., 2007. "Taxation and the Taylor principle," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2554-2567, November.
    22. 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.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    28. 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.
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    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

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