IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-03461113.html
   My bibliography  Save this paper

Generalizing the Taylor Principle: New Comment

Author

Listed:
  • Jean Barthélemy

    (Centre de recherche de la Banque de France - Banque de France)

  • Magali Marx

    (Centre de recherche de la Banque de France - Banque de France, ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we provide determinacy conditions, i.e. conditions ensuring the existence and uniqueness of a bounded solution, in a purely forward-looking linear Markov switching rational expectations model. We thus settle the debate between Davig and Leeper (2007) and Farmer et al. (2010). The conditions derived by the former are valid in a subset of bounded solutions only depending on a finite number of past regimes, that we call Markovian. However, in the complete bounded solution space, the new determinacy conditions we derive are tighter. Nevertheless, when unique, the solution coincides with the Markovian solution of Davig and Leeper (2007). We finally illustrate our results in the standard new-Keynesian model studied by Davig and Leeper (2007) and Farmer et al. (2010).

Suggested Citation

  • Jean Barthélemy & Magali Marx, 2012. "Generalizing the Taylor Principle: New Comment," Working Papers hal-03461113, HAL.
  • Handle: RePEc:hal:wpaper:hal-03461113
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03461113
    as

    Download full text from publisher

    File URL: https://sciencespo.hal.science/hal-03461113/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Monfort, Alain & Pegoraro, Fulvio, 2012. "Asset pricing with Second-Order Esscher Transforms," Journal of Banking & Finance, Elsevier, vol. 36(6), pages 1678-1687.
    2. Barthélemy, J. & Marx, M., 2011. "State-Dependent Probability Distributions in Non Linear Rational Expectations Models," Working papers 347, Banque de France.
    3. repec:hal:psewpa:hal-00719952 is not listed on IDEAS
    4. Pascal Towbin, 2013. "Financial Integration And External Sustainability," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 18(4), pages 375-395, October.
    5. Gaballo, Gaetano, 2013. "Good luck or good policy? An expectational theory of macro volatility switches," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2755-2770.
    6. Troy Davig & Taeyoung Doh, 2014. "Monetary Policy Regime Shifts and Inflation Persistence," The Review of Economics and Statistics, MIT Press, vol. 96(5), pages 862-875, December.
    7. Frederique Bec & Marie Bessec, 2013. "Inventory Investment Dynamics and Recoveries: A Comparison of Manufacturing and Retail Trade Sectors," Economics Bulletin, AccessEcon, vol. 33(3), pages 2209-2222.
    8. Challe, Edouard & Mojon, Benoit & Ragot, Xavier, 2013. "Equilibrium risk shifting and interest rate in an opaque financial system," European Economic Review, Elsevier, vol. 63(C), pages 117-133.
    9. Bussière, M. & Ristiniemi, A., 2012. "Credit Ratings and Debt Crises," Working papers 396, Banque de France.
    10. Jean-Stéphane Mésonnier & Dalibor Stevanovic, 2012. "Bank Leverage Shocks and the Macroeconomy: a New Look in a Data-Rich Environment," CIRANO Working Papers 2012s-23, CIRANO.
    11. Yannick Kalantzis & Ryo Kambayashi & Sébastien Lechevalier, 2012. "Wage and Productivity Differentials in Japan: The Role of Labor Market Mechanisms," LABOUR, CEIS, vol. 26(4), pages 514-541, December.
    12. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
    13. 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.
    14. Denis Beau & Christophe Cahn & Laurent Clerc & Benoît Mojon, 2014. "Macro-Prudential Policy and the Conduct of Monetary Policy," Central Banking, Analysis, and Economic Policies Book Series, in: Sofía Bauducco & Lawrence Christiano & Claudio Raddatz (ed.),Macroeconomic and Financial Stability: challenges for Monetary Policy, edition 1, volume 19, chapter 9, pages 273-314, Central Bank of Chile.
    15. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2009. "Indeterminacy in a forward‐looking regime switching model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 69-84, March.
    16. Gilbert Cette & Nicolas Dromel & Rémy Lecat, 2013. "Labour Relations Quality and Productivity: An Empirical Analysis on French Firms," Review of Economics and Institutions, Università di Perugia, vol. 4(2).
    17. Gaballo, G., 2012. "Private Uncertainty and Multiplicity," Working papers 387, Banque de France.
    18. Dufrénot, G. & Triki, K., 2012. "Why have governments succeeded in reducing French public debt historically and can these successes inspired us for the future? An historical perspective since 1890," Working papers 386, Banque de France.
    19. Fuentes Castro, D., 2012. "Funding for green growth," Working papers 392, Banque de France.
    20. Francesco Bianchi, 2012. "Evolving Monetary/Fiscal Policy Mix in the United States," American Economic Review, American Economic Association, vol. 102(3), pages 167-172, May.
    21. Renne Jean-Paul, 2017. "A model of the euro-area yield curve with discrete policy rates," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(1), pages 99-116, February.
    22. Dufrénot, G. & Triki, K., 2012. "Public debt ratio and its determinants in France since 1890 Does econometrics support the historical evidence?," Working papers 385, Banque de France.
    23. repec:hal:spmain:info:hdl:2441/7l23tbn4rd9539sljmp8of2hcb is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Barthélemy, J. & Marx, M., 2011. "State-Dependent Probability Distributions in Non Linear Rational Expectations Models," Working papers 347, Banque de France.
    2. Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    3. repec:hal:spmain:info:hdl:2441/3bvs8clr5k9dqqcbq7j5ul2o65 is not listed on IDEAS
    4. repec:spo:wpmain:info:hdl:2441/3bvs8clr5k9dqqcbq7j5ul2o65 is not listed on IDEAS
    5. Zakipour-Saber, Shayan, 2019. "State-dependent Monetary Policy Regimes," Research Technical Papers 4/RT/19, Central Bank of Ireland.
    6. Shayan Zakipour-Saber, 2019. "Monetary policy regimes and inflation persistence in the United Kingdom," Working Papers 895, Queen Mary University of London, School of Economics and Finance.
    7. repec:hal:spmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS
    8. Roulleau-Pasdeloup, Jordan, 2020. "Optimal monetary policy and determinacy under active/passive regimes," European Economic Review, Elsevier, vol. 130(C).
    9. Jean Barthélemy & Magali Marx, 2012. "Generalizing the Taylor Principle: New Comment," SciencePo Working papers hal-03461113, HAL.
    10. Richter Alexander W. & Throckmorton Nathaniel A., 2015. "The zero lower bound: frequency, duration, and numerical convergence," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 157-182, January.
    11. repec:spo:wpmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:hal:spmain:info:hdl:2441/3bvs8clr5k9dqqcbq7j5ul2o65 is not listed on IDEAS
    2. repec:spo:wpmain:info:hdl:2441/3bvs8clr5k9dqqcbq7j5ul2o65 is not listed on IDEAS
    3. Jean Barthélemy & Magali Marx, 2012. "Generalizing the Taylor Principle: New Comment," SciencePo Working papers hal-03461113, HAL.
    4. Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    5. Jean Barthélemy & Magali Marx, 2011. "State-Dependent Probability Distributions in Non Linear Rational Expectations Models," Working Papers hal-03461407, HAL.
    6. repec:hal:spmain:info:hdl:2441/7l23tbn4rd9539sljmp8of2hcb is not listed on IDEAS
    7. Shayan Zakipour-Saber, 2019. "Monetary policy regimes and inflation persistence in the United Kingdom," Working Papers 895, Queen Mary University of London, School of Economics and Finance.
    8. Zakipour-Saber, Shayan, 2019. "State-dependent Monetary Policy Regimes," Research Technical Papers 4/RT/19, Central Bank of Ireland.
    9. repec:spo:wpmain:info:hdl:2441/7l23tbn4rd9539sljmp8of2hcb is not listed on IDEAS
    10. Francesco Bianchi & Leonardo Melosi, 2016. "Modeling The Evolution Of Expectations And Uncertainty In General Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 717-756, May.
    11. Kostas Mavromatis, 2018. "U.S. Monetary Regimes and Optimal Monetary Policy in the Euro Area," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1441-1478, October.
    12. Tom D. Holden, 2023. "Existence and Uniqueness of Solutions to Dynamic Models with Occasionally Binding Constraints," The Review of Economics and Statistics, MIT Press, vol. 105(6), pages 1481-1499, November.
    13. Dennis Bonam & Bart Hobijn, 2021. "Generalized Stability of Monetary Unions Under Regime Switching in Monetary and Fiscal Policies," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(1), pages 73-94, February.
    14. repec:hal:spmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS
    15. repec:hal:spmain:info:hdl:2441/3ug0u3qte39q7rqvbmij9rb993 is not listed on IDEAS
    16. Francesco Bianchi & Cosmin Ilut, 2017. "Monetary/Fiscal Policy Mix and Agent's Beliefs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 113-139, October.
    17. repec:spo:wpmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS
    18. William A. Branch & Troy Davig & Bruce McGough, 2007. "Expectational stability in regime-switching rational expectations models," Research Working Paper RWP 07-09, Federal Reserve Bank of Kansas City.
    19. McClung, Nigel, 2020. "E-stability vis-à-vis determinacy in regime-switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    20. Jean Barthélemy & Magali Marx, 2016. "Solving Endogenous Regime Switching Models," SciencePo Working papers hal-03393181, HAL.
    21. Manuel Gonzalez-Astudillo, 2013. "Monetary-fiscal policy interactions: interdependent policy rule coefficients," Finance and Economics Discussion Series 2013-58, Board of Governors of the Federal Reserve System (U.S.).
    22. Kostas Mavromatis, 2018. "U.S. Monetary Regimes and Optimal Monetary Policy in the Euro Area," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1441-1478, October.
    23. repec:spo:wpmain:info:hdl:2441/3ug0u3qte39q7rqvbmij9rb993 is not listed on IDEAS
    24. Lhuissier, Stéphane & Zabelina, Margarita, 2015. "On the stability of Calvo-style price-setting behavior," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 77-95.
    25. Ravn, Søren Hove, 2014. "Asymmetric monetary policy towards the stock market: A DSGE approach," Journal of Macroeconomics, Elsevier, vol. 39(PA), pages 24-41.
    26. Francesco Bianchi & Leonardo Melosi, 2018. "Constrained Discretion and Central Bank Transparency," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 187-202, March.
    27. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.
    28. Jean Barthelemy & Seonghoon Cho & Magali Marx, 2024. "A Unified Approach to Determinacy Conditions with Regime Switching," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 54, October.

    More about this item

    Keywords

    Markov switching; DGSE; Indeterminancy; Changements de régime; DSGE; Indétermination;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • 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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-03461113. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.