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Super-Inertial Interest Rate Rules are not Solutions of Ramsey Optimal Policy

Author

Listed:
  • Jean-Bernard Chatelain
  • Kirsten Ralf

Abstract

This paper demonstrates that the equilibrium determined by the commitment of a Central Bank to a non-stationary (?super-inertial?) interest rate rule (where the sum of the parameters of the lags of the interest rate exceeds one and does not depend on the persistence of shocks) does not correspond to the unique bounded solution and the stable equilibrium of Ramsey optimal policy for the new-Keynesian model. It always destabilizes inflation because of the rounding errors and the measurement errors of the parameters of the monetary policy transmission mechanism. By contrast, the commitment of a Central Bank to a stationary interest rate rule rule (where the sum of the parameters of lags of the interest rate is strictly below one and depends on the persistence of shocks) corresponds to the unique bounded solution and the stable equilibrium of Ramsey optimal policy. JEL classification numbers . C61, C62, E43, E44, E47, E52, E58

Suggested Citation

  • Jean-Bernard Chatelain & Kirsten Ralf, 2023. "Super-Inertial Interest Rate Rules are not Solutions of Ramsey Optimal Policy," Revue d'économie politique, Dalloz, vol. 133(1), pages 119-146.
    • Handle: RePEc:cai:repdal:redp_331_0119
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    References listed on IDEAS

    as
    1. Jean-Bernard Chatelain & Kirsten Ralf, 2019. "A Simple Algorithm for Solving Ramsey Optimal Policy with Exogenous Forcing Variables," Economics Bulletin, AccessEcon, vol. 39(4), pages 2429-2440.
    2. Adolfson, Malin & Laséen, Stefan & Lindé, Jesper & Svensson, Lars E.O., 2014. "Monetary policy trade-offs in an estimated open-economy DSGE model," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 33-49.
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    4. Jean-Bernard Chatelain & Kirsten Ralf, 2019. "A Simple Algorithm for Solving Ramsey Optimal Policy with Exogenous Forcing Variables," Economics Bulletin, AccessEcon, vol. 39(4), pages 2429-2440.
    5. A. Hakan Kara, 2007. "Monetary Policy under Imperfect Commitment: Reconciling Theory with Evidence," International Journal of Central Banking, International Journal of Central Banking, vol. 3(1), pages 149-178, March.
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    7. Chatelain, Jean-Bernard & Ralf, Kirsten, 2021. "Hopf Bifurcation From New-Keynesian Taylor Rule To Ramsey Optimal Policy," Macroeconomic Dynamics, Cambridge University Press, vol. 25(8), pages 2204-2236, December.
    8. Hess Chung & Edward Herbst & Michael T. Kiley, 2015. "Effective Monetary Policy Strategies in New Keynesian Models: A Reexamination," NBER Macroeconomics Annual, University of Chicago Press, vol. 29(1), pages 289-344.
    9. Creel, Jérôme & Hubert, Paul, 2015. "Has Inflation Targeting Changed The Conduct Of Monetary Policy?," Macroeconomic Dynamics, Cambridge University Press, vol. 19(1), pages 1-21, January.
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    11. Jean-bernard Chatelain & Kirsten Ralf, 2020. "The Welfare of Ramsey Optimal Policy Facing Auto-Regressive Shocks," Economics Bulletin, AccessEcon, vol. 40(2), pages 1797-1803.
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    More about this item

    Keywords

    new-Keynesian model; Ramsey optimal policy; interest-rate smoothing; superinertial rule; stability;
    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
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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