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

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  • Chatelain, Jean-Bernard
  • Ralf, Kirsten

Abstract

In the discrete-time new-Keynesian model with public debt, Ramsey optimal policy eliminates the indeterminacy of simple-rules multiple equilibria between the fiscal theory of the price level versus new-Keynesian versus an unpleasant equilibrium. If public debt volatility is taken into account into the loss function, the interest rate responds to public debt besides inflation and output gap. Else, the Taylor rule is identical to Ramsey optimal policy when there is zero public debt. The optimal fiscal-rule parameter implies the local stability of public-debt dynamics ("passive" fiscal policy).

Suggested Citation

  • Chatelain, Jean-Bernard & Ralf, Kirsten, 2020. "Ramsey Optimal Policy in the New-Keynesian Model with Public Debt," MPRA Paper 104536, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:104536
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    1. Barnett, William A. & Chen, Guo, 2015. "Bifurcation of Macroeconometric Models and Robustness of Dynamical Inferences," Foundations and Trends(R) in Econometrics, now publishers, vol. 8(1-2), pages 1-144, September.
    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. John H. Cochrane, 2011. "Determinacy and Identification with Taylor Rules," Journal of Political Economy, University of Chicago Press, vol. 119(3), pages 565-615.
    4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    5. 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).
    6. Lars E. O. Svensson, 2003. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 426-477, June.
    7. Barnett, William A. & Duzhak, Evgeniya Aleksandrovna, 2008. "Non-robust dynamic inferences from macroeconometric models: Bifurcation stratification of confidence regions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3817-3825.
    8. Dennis Bonam & Jasper Lukkezen, 2019. "Fiscal and Monetary Policy Coordination, Macroeconomic Stability, and Sovereign Risk Premia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(2-3), pages 581-616, March.
    9. Michael Woodford, 1998. "Control of the Public Debt: A Requirement for Price Stability?," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 5, pages 117-158, Palgrave Macmillan.
    10. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    11. 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.
    12. Drygalla, Andrej & Holtemöller, Oliver & Kiesel, Konstantin, 2020. "The Effects Of Fiscal Policy In An Estimated Dsge Model—The Case Of The German Stimulus Packages During The Great Recession," Macroeconomic Dynamics, Cambridge University Press, vol. 24(6), pages 1315-1345, September.
    13. Sophocles Mavroeidis & Mikkel Plagborg-Møller & James H. Stock, 2014. "Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 124-188, March.
    14. Davide Debortoli & Ricardo Nunes, 2014. "Monetary Regime Switches and Central Bank Preferences," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(8), pages 1591-1626, December.
    15. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
    16. Chatelain, Jean-Bernard & Ralf, Kirsten, 2020. "Ramsey Optimal Policy versus Multiple Equilibria with Fiscal and Monetary Interactions," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 40(1), pages 140-147.
    17. Schaumburg, Ernst & Tambalotti, Andrea, 2007. "An investigation of the gains from commitment in monetary policy," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 302-324, March.
    18. 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.
    19. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
    20. Pedro, Gomis-Porqueras & Cathy, Zhang, 2018. "Optimal Monetary and Fiscal Policy with Migration in a Currency Union," MPRA Paper 83754, University Library of Munich, Germany.
    21. Cardani, Roberta & Menna, Lorenzo & Tirelli, Patrizio, 2020. "The Optimal Policy Mix To Achieve Public Debt Consolidation," Macroeconomic Dynamics, Cambridge University Press, vol. 24(1), pages 113-129, January.
    22. 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.
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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; New-Keynesian model; Fiscal Rule; Taylor Rule; Multiple Equilibria.;
    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
    • 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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