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Super-inertial interest rate rules are not solutions of Ramsey optimal monetary policy

Author

Listed:
  • Jean-Bernard Chatelain

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Kirsten Ralf

    (ESCE – International Business School)

Abstract

Giannoni and Woodford (2003) found that the equilibrium determined by com- mitment to a super-inertial rule (where the sum of the parameters of lags of interest rate exceed ones and does not depend on the auto-correlation of shocks) corresponds to the unique bounded solution of Ramsey optimal policy for the new-Keynesian model. By contrast, this note demonstrates that commitment to an inertial rule (where the sum of the parameters of lags of interest rate is below one and depends on the auto-correlation of shocks) corresponds to the unique bounded solution.

Suggested Citation

  • Jean-Bernard Chatelain & Kirsten Ralf, 2018. "Super-inertial interest rate rules are not solutions of Ramsey optimal monetary policy," PSE Working Papers halshs-01863367, HAL.
    • Handle: RePEc:hal:psewpa:halshs-01863367
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01863367
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    References listed on IDEAS

    as
    1. Jean-Bernard Chatelain & Kirsten Ralf, 2018. "The Indeterminacy of Determinacy with Fiscal, Macro-prudential or Taylor Rules," PSE Working Papers halshs-01877766, HAL.
    2. 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.
    3. Anderson, Evan W. & McGrattan, Ellen R. & Hansen, Lars Peter & Sargent, Thomas J., 1996. "Mechanics of forming and estimating dynamic linear economies," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 4, pages 171-252, Elsevier.
    4. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    5. Jean-Bernard Chatelain & Kirsten Ralf, 2014. "A finite set of equilibria for the indeterminacy of linear rational expectations models," Papers 1407.6222, arXiv.org.
    6. 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.
    7. Giannoni, Marc P., 2014. "Optimal interest-rate rules and inflation stabilization versus price-level stabilization," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 110-129.
    8. Jean-Bernard Chatelain & Kirsten Ralf, 2014. "A finite set of equilibria for the indeterminacy of linear rational expectations models," Papers 1407.6222, arXiv.org.
    9. 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.
    10. Chatelain, Jean-Bernard & Ralf, Kirsten, 2014. "Stability and Identification with Optimal Macroprudential Policy Rules," EconStor Preprints 95979, ZBW - Leibniz Information Centre for Economics.
    11. Jean-Bernard Chatelain & Kirsten Ralf, 2021. "Imperfect Credibility versus No Credibility of Optimal Monetary Policy," Revue économique, Presses de Sciences-Po, vol. 72(1), pages 43-63.
    12. 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.
    13. Jean-Bernard Chatelain & Kirsten Ralf, 2014. "Peut-on identifier les politiques économiques stabilisant une économie instable ?," Revue française d'économie, Presses de Sciences-Po, vol. 0(3), pages 143-178.
    14. Jean-Bernard Chatelain & Kirsten Ralf, 2017. "Can We Identify the Fed's Preferences?," Working Papers halshs-01549908, HAL.
    15. Marc Giannoni & Michael Woodford, 2003. "How forward-looking is optimal monetary policy?," Proceedings, Federal Reserve Bank of Cleveland, pages 1425-1483.
    16. Chatelain, Jean-Bernard & Ralf Kirsten, 2016. "Countercyclical versus Procyclical Taylor Principles," EconStor Preprints 129796, ZBW - Leibniz Information Centre for Economics.
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    Cited by:

    1. Chatelain, Jean-Bernard & Ralf, Kirsten, 2020. "The Welfare of Ramsey Optimal Policy Facing Auto-Regressive Shocks," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 40(2), pages 1797-1803.
    2. 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.
    3. Jean-Bernard Chatelain & Kirsten Ralf, 2018. "The Indeterminacy of Determinacy with Fiscal, Macro-prudential or Taylor Rules," Working Papers halshs-01877766, HAL.

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    Keywords

    New-Keynesian model; Ramsey optimal policy; Interest rate smoothing; Super-inertial rule; Inertial rule;
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