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Optimal Monetary Policy under Uncertainty in DSGE Models: A Markov Jump-Linear-Quadratic Approach

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  • Lars E.O. Svensson
  • Noah Williams

Abstract

We study the design of optimal monetary policy under uncertainty in a dynamic stochastic general equilibrium models. We use a Markov jump-linear-quadratic (MJLQ) approach to study policy design, approximating the uncertainty by different discrete modes in a Markov chain, and by taking mode-dependent linear-quadratic approximations of the underlying model. This allows us to apply a powerful methodology with convenient solution algorithms that we have developed. We apply our methods to a benchmark New Keynesian model, analyzing how policy is affected by uncertainty, and how learning and active experimentation affect policy and losses.

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  • Lars E.O. Svensson & Noah Williams, 2008. "Optimal Monetary Policy under Uncertainty in DSGE Models: A Markov Jump-Linear-Quadratic Approach," NBER Working Papers 13892, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:13892
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    Cited by:

    1. Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    2. Cho, Seonghoon, 2021. "Determinacy and classification of Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    3. Junior Maih, 2015. "Efficient perturbation methods for solving regime-switching DSGE models," Working Paper 2015/01, Norges Bank.
    4. Cogley, Timothy & De Paoli, Bianca & Matthes, Christian & Nikolov, Kalin & Yates, Tony, 2011. "A Bayesian approach to optimal monetary policy with parameter and model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2186-2212.
    5. Boris Blagov & Michael Funke & Richhild Moessner, 2015. "Modelling the time-variation in euro area lending spreads," BIS Working Papers 526, Bank for International Settlements.
    6. Junior Maih, 2014. "Efficient Perturbation Methods for Solving Regime-Switching DSGE Models," Working Papers No 10/2014, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    7. Barthélemy, J. & Marx, M., 2011. "State-Dependent Probability Distributions in Non Linear Rational Expectations Models," Working papers 347, Banque de France.
    8. Chesang, Laban K. & Naraidoo, Ruthira, 2016. "Parameter uncertainty and inflation dynamics in a model with asymmetric central bank preferences," Economic Modelling, Elsevier, vol. 56(C), pages 1-10.
    9. Edward Herbst & David Lopez-Salido & Christopher Gust, 2017. "Forward Guidance with Bayesian Learning and Estimation," 2017 Meeting Papers 1189, Society for Economic Dynamics.
    10. Jonathan Benchimol & André Fourçans, 2016. "Nominal income versus Taylor-type rules in practice," Working Papers hal-01357870, HAL.
    11. Shayan Zakipour-Saber, 2019. "State-dependent Monetary Policy Regimes," Working Papers 882, Queen Mary University of London, School of Economics and Finance.
    12. Sebastián Cadavid Sánchez, 2018. "Monetary policy and structural changes in Colombia, 1990-2016: A Markov Switching approach," Documentos CEDE 16970, Universidad de los Andes, Facultad de Economía, CEDE.
    13. Hansen, Lars Peter & Mayer, Ricardo & Sargent, Thomas, 2010. "Robust hidden Markov LQG problems," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1951-1966, October.
    14. Xiaoshan Chen & Ronald Macdonald, 2012. "Realized and Optimal Monetary Policy Rules in an Estimated Markov‐Switching DSGE Model of the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(6), pages 1091-1116, September.
    15. Julien Albertini & Stéphane Moyen, 2020. "A General and Efficient Method for Solving Regime-Switching DSGE Models," Working Papers 2035, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    16. Richhild Moessner & David-Jan Jansen & Jakob de Haan, 2017. "Communication About Future Policy Rates In Theory And Practice: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(3), pages 678-711, July.
    17. repec:ehl:lserod:56407 is not listed on IDEAS
    18. Benchimol, Jonathan & Fourçans, André, 2019. "Central bank losses and monetary policy rules: A DSGE investigation," International Review of Economics & Finance, Elsevier, vol. 61(C), pages 289-303.
    19. Harrison, Richard & Waldron, Matt, 2021. "Optimal policy with occasionally binding constraints: piecewise linear solution methods," Bank of England working papers 911, Bank of England.
    20. 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.
    21. Gerba, Eddie, 2015. "Have the US macro-financial linkages changed? The balance sheet dimension," LSE Research Online Documents on Economics 59886, London School of Economics and Political Science, LSE Library.
    22. Leonardo Barreto, 2018. "Nonconventional monetary policy in a regime-switching model with endogenous financial crises," Documentos CEDE 16382, Universidad de los Andes, Facultad de Economía, CEDE.
    23. Jonathan Benchimol & André Fourçans, 2017. "Monetary Rule, Central Bank Loss and Household’s Welfare: an Empirical Investigation," Globalization Institute Working Papers 329, Federal Reserve Bank of Dallas.

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    More about this item

    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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