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Solving endogenous regime switching models

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  • Barthélemy, Jean
  • Marx, Magali

Abstract

This paper solves rational expectations models in which structural parameters switch across multiple regimes according to state-dependent (endogenous) transition probabilities. Assuming small shocks and smooth transition probabilities, we apply a perturbation approach. We first provide for conditions under which a unique bounded equilibrium exists. We then compute first- and second-order approximations. In a new-Keynesian model with monetary policy switching, we document new effects of monetary policy switching when transition probabilities depend on inflation.

Suggested Citation

  • Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    • Handle: RePEc:eee:dyncon:v:77:y:2017:i:c:p:1-25
    DOI: 10.1016/j.jedc.2017.01.011
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    2. Cho, Seonghoon, 2021. "Determinacy and classification of Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    3. Julien Albertini & Stéphane Moyen, 2020. "A General and Efficient Method for Solving Regime-Switching DSGE Models," Working Papers halshs-03067554, HAL.
    4. Chang, Yoosoon & Maih, Junior & Tan, Fei, 2021. "Origins of monetary policy shifts: A New approach to regime switching in DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    5. Julien Albertini & Valentin Jouvanceau & Stéphane Moyen, 2022. "State-Contingent Forward Guidance," Working Papers 2205, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    6. Andrei A. Sirchenko, 2017. "An endogenous regime-switching model of ordered choice with an application to federal funds rate target," 2017 Papers psi424, Job Market Papers.
    7. Christopher Otrok & Andrew Foerster & Alessandro Rebucci & Gianluca Benigno, 2017. "Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime Switching Approach," 2017 Meeting Papers 572, Society for Economic Dynamics.
    8. Chang, Yoosoon & Kwak, Boreum, 2017. "U.S. monetary-fiscal regime changes in the presence of endogenous feedback in policy rules," IWH Discussion Papers 15/2017, Halle Institute for Economic Research (IWH).
    9. Tolga Özden, 2021. "Heterogeneous Expectations and the Business Cycle at the Effective Lower Bound," Working Papers 714, DNB.
    10. Yoosoon Chang & Junior Maih & Fei Tan, 2018. "State Space Models with Endogenous Regime Switching," Working Papers No 9/2018, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    11. Zakipour-Saber, Shayan, 2019. "State-dependent Monetary Policy Regimes," Research Technical Papers 4/RT/19, Central Bank of Ireland.
    12. Roberto M. Billi & Jordi Galí & Anton Nakov, 2022. "Optimal Monetary Policy with r," Working Papers 1333, Barcelona School of Economics.
    13. Holden, Thomas, 2016. "Existence and uniqueness of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130142, ZBW - Leibniz Information Centre for Economics.
    14. Binning, Andrew & Bjørnland, Hilde C. & Maih, Junior, 2019. "Is monetary policy always effective? Incomplete interest rate pass-through in a DSGE model," Working Paper 2019/22, Norges Bank.
    15. Chang, Yoosoon & Kwak, Boreum & Qiu, Shi, 2021. "U.S. monetary and fiscal policy regime changes and their interactions," IWH Discussion Papers 12/2021, Halle Institute for Economic Research (IWH).
    16. 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.
    17. Xin Wei, 2020. "Dynamic Expectations Formation and U.S. Monetary Policy Regime Change," CAEPR Working Papers 2020-007, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    18. Le Bihan Hervé, & Marx Magali, & Matheron Julien., 2021. "Inflation tolerance ranges in the New Keynesian model," Working papers 820, Banque de France.
    19. Neusser, Klaus, 2019. "Time–varying rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    20. Yoosoon Chang & Fei Tan & Xin Wei, 2018. "State Space Models with Endogenous Regime Switching," CAEPR Working Papers 2018-012, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    21. Ruoyun Mao & Wenyi Shen & Shu-Chun S. Yang, 2022. "Uncertain Policy Regimes and Government Spending Effects," IEAS Working Paper : academic research 22-A004, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    22. Andrew Foerster & Christian Matthes, 2022. "Learning About Regime Change," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(4), pages 1829-1859, November.
    23. Eduardo C. Castro, 2020. "RegGae: a toolkit for macroprudential policy with DSGEs," Working Papers Series 526, Central Bank of Brazil, Research Department.
    24. Roulleau-Pasdeloup, Jordan, 2020. "Optimal monetary policy and determinacy under active/passive regimes," European Economic Review, Elsevier, vol. 130(C).

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    More about this item

    Keywords

    Regime switching; Rational expectations models; Indeterminacy; Perturbation methods;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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