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Ramsey Optimal Policy in the New-Keynesian Model with Public Debt

Author

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  • 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 - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

  • Kirsten Ralf

    (Ecole Supérieure du Commerce Extérieur - ESCE - International business school)

Abstract

This paper compares Ramsey optimal policy for the new-Keynesian model with public debt with its .scal theory of the price level (FTPL) equilibrium. Both the fiscal theory of the price level and Ramsey optimal policy implies that a de.cit shock is instantaneously followed by an increase of in.ation and output gap. But each optimal policy parameters belongs in di¤erent sets with respect to FTPL. The optimal .scal rule parameter implies local stability of public debt dynamics ("passive fiscal policy"). The optimal Taylor rule parameter for in.ation is larger than one. The optimal Taylor rule parameter for output gap is negative, because of the intertemporal substitution e¤ect of interest rate on output gap. Both Taylor rule optimal parameters implies the local stability of inflation and output gap dynamics.

Suggested Citation

  • Jean-Bernard Chatelain & Kirsten Ralf, 2019. "Ramsey Optimal Policy in the New-Keynesian Model with Public Debt," Working Papers halshs-02278781, HAL.
    • Handle: RePEc:hal:wpaper:halshs-02278781
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02278781
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    References listed on IDEAS

    as
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    1. Jean-Bernard Chatelain & Kirsten Ralf, 2020. "Ramsey Optimal Policy versus Multiple Equilibria with Fiscal and Monetary Interactions," Economics Bulletin, AccessEcon, vol. 40(1), pages 140-147.
    2. 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.
    3. Jean-Bernard Chatelain & Kirsten Ralf, 2020. "Policy Maker’s Credibility with Predetermined Instruments for Forward-Looking Targets," Revue d'économie politique, Dalloz, vol. 130(5), pages 823-846.
    4. 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.

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    More about this item

    Keywords

    Fiscal theory of the Price Level; Ramsey optimal policy;

    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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • 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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