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Interest rate rules, endogenous cycles, and chaotic dynamics in open economies

Author

Listed:
  • Marco Airaudo
  • Luis-Felipe Zanna
Abstract
In this paper we present an extensive analysis of the consequences for global equilibrium determinacy of implementing active interest rate rules (i.e. monetary rules where the nominal interest rate responds more than proportionally to changes in inflation) in flexible-price open economies. We show that conditions under which these rules generate aggregate instability by inducing cyclical and chaotic equilibrium dynamics depend on particular characteristics of open economies such as the degree of (trade) openness and the degree of exchange rate pass-through implied by the presence of non-traded distribution costs. For instance, we find that a forward-looking rule is more prone to induce endogenous cyclical and chaotic dynamics the more open the economy and the higher the degree of exchange rate pass-through. The existence of these dynamics and their dependence on the degree of openness are in general robust to different timings of the rule (forward-looking versus contemporaneous rules), to the use of alternative measures of inflation in the rule (CPI versus Core inflation), as well as to changes in the timing of real money balances in liquidity services (\"cash-when-I-am-done\" timing versus \"cash-in-advance\" timing).

Suggested Citation

  • Marco Airaudo & Luis-Felipe Zanna, 2005. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," International Finance Discussion Papers 849, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgif:849
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    Cited by:

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    2. Barnett, William A. & Eryilmaz, Unal, 2016. "An Analytical And Numerical Search For Bifurcations In Open Economy New Keynesian Models," Macroeconomic Dynamics, Cambridge University Press, vol. 20(2), pages 482-503, March.
    3. Fujisaki, Seiya, 2013. "Taylor rules and equilibrium determinacy in a two-country model with non-traded goods," Economic Modelling, Elsevier, vol. 35(C), pages 597-603.
    4. 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.
    5. 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.
    6. 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.
    7. 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).
    8. Chang Wen-ya & Tsai Hsueh-fang & Chang Juin-jen & Lin Hsieh-yu, 2018. "Interest rate rules and equilibrium (in)determinacy in a small open economy: the role of internationally traded capital," The B.E. Journal of Macroeconomics, De Gruyter, vol. 18(2), pages 1-18, June.
    9. Fujisaki, Seiya, 2012. "Interest Rate Control Rules and Macroeconomic Stability in a Heterogeneous Two-Country Model," MPRA Paper 37017, University Library of Munich, Germany.
    10. Airaudo, Marco, 2014. "Currency substitution, risk premia and the Taylor principle," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 202-217.
    11. William, Barnett & Hu, Jingxian, 2017. "Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation," MPRA Paper 81450, University Library of Munich, Germany.
    12. Fujisaki, Seiya, 2012. "Taylor rules and equilibrium determinacy in a two-country model with non-traded goods," MPRA Paper 40023, University Library of Munich, Germany.
    13. 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.
    14. Airaudo, Marco, 2012. "Endogenous Dollarization, Sovereign Risk Premia and the Taylor Principle," School of Economics Working Paper Series 2012-11, LeBow College of Business, Drexel University.

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    More about this item

    Keywords

    Interest rates; Equilibrium (Economics);

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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