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Efficient simulation of DSGE models with inequality constraints

Author

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  • Tom Holden

    (University of Surrey)

  • Michael Paetz

    (University of Hamburg)

Abstract

This paper presents a fast, simple and intuitive algorithm for simulation of linear dynamic stochastic general equilibrium models with inequality constraints. The algorithm handles both the computation of impulse responses, and stochastic simulation, and can deal with arbitrarily many bounded variables. Furthermore, the algorithm is able to capture the precautionary motive associated with the risk of hitting such a bound. To illustrate the usefulness and efficiency of this algorithm we provide a variety of applications including to models incorporating a zero lower bound (ZLB) on nominal interest rates. Our procedure is much faster than comparable methods and can readily handle large models. We therefore expect this algorithm to be useful in a wide variety of applications.

Suggested Citation

  • Tom Holden & Michael Paetz, 2012. "Efficient simulation of DSGE models with inequality constraints," School of Economics Discussion Papers 1612, School of Economics, University of Surrey.
  • Handle: RePEc:sur:surrec:1612
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    File URL: https://repec.som.surrey.ac.uk/2012/DP16-12.pdf
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    References listed on IDEAS

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    Cited by:

    1. Gregor Bäurle & Daniel Kaufmann, 2014. "Exchange rate and price dynamics in a small open economy - the role of the zero lower bound and monetary policy regimes," Working Papers 2014-10, Swiss National Bank.
    2. Afanasyeva, Elena & Karasulu, Meral, 2013. "Interactions of Monetary and Macroprudential Policies in a Model of the Korean Economy," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79884, Verein für Socialpolitik / German Economic Association.
    3. Davis, J. Scott & Presno, Ignacio, 2017. "Capital controls and monetary policy autonomy in a small open economy," Journal of Monetary Economics, Elsevier, vol. 85(C), pages 114-130.
    4. Federico GIRI, 2014. "Does Interbank Market Matter for Business Cycle Fluctuation? An Estimated DSGE Model with Financial Frictions for the Euro Area," Working Papers 398, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    5. Kaufmann, Daniel & Bäurle, Gregor, 2013. "Exchange Rate and Price Dynamics at the Zero Lower Bound," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79872, Verein für Socialpolitik / German Economic Association.
    6. Richard McManus, 2013. "Austerity versus Stimulus: A DSGE Political Economy Explanation," Discussion Papers 13/09, Department of Economics, University of York.
    7. William Gavin & Benjamin Keen, 2013. "U.S. Monetary Policy: A View from Macro Theory," Open Economies Review, Springer, vol. 24(1), pages 33-49, February.
    8. Alex Haberis & Richard Harrison & Matt Waldron, 2014. "Transitory interest-rate pegs under imperfect credibility," Discussion Papers 1422, Centre for Macroeconomics (CFM).
    9. Holden, Tom D., 2016. "Computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 144569, ZBW - German National Library of Economics.
    10. Haberis, Alex & Harrison, Richard & Waldron, Matthew, 2017. "Uncertain forward guidance," Bank of England working papers 654, Bank of England.
    11. Haberis, Alex & Masolo, Riccardo & Reinold, Kate, 2016. "Deflation probability and the scope for monetary loosening in the United Kingdom," Bank of England working papers 627, Bank of England.
    12. Chen, Qianying & Funke, Michael & Paetz, Michael, 2012. "Market and non-market monetary policy tools in a calibrated DSGE model for mainland China," BOFIT Discussion Papers 16/2012, Bank of Finland, Institute for Economies in Transition.
    13. Holden, Tom D., 2016. "Existence, uniqueness and computation of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 127430, ZBW - German National Library of Economics.
    14. Jensen, Henrik & Ravn, Søren Hove & Santoro, Emiliano, 2015. "Changing Credit Limits, Changing Business Cycles," CEPR Discussion Papers 10462, C.E.P.R. Discussion Papers.
    15. Andrew Binning & Junior Maih, 2017. "Modelling Occasionally Binding Constraints Using Regime-Switching," Working Paper 2017/23, Norges Bank.
    16. Hasui, Kohei, 2013. "The non-negative constraint on the nominal interest rate and the effects of monetary policy," MPRA Paper 49394, University Library of Munich, Germany.
    17. Andrew Binning & Junior Maih, 2016. "Forecast uncertainty in the neighborhood of the effective lower bound: How much asymmetry should we expect?," Working Paper 2016/13, Norges Bank.
    18. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    19. Funke, Michael & Paetz, Michael, 2012. "Financial system reforms and China's monetary policy framework : A DSGE-based assessment of initiatives and proposals," BOFIT Discussion Papers 30/2012, Bank of Finland, Institute for Economies in Transition.
    20. Martin Slanicay & Jan Čapek & Miroslav Hloušek, 2016. "Some Notes On Problematic Issues In Dsge Models," Economic Annals, Faculty of Economics, University of Belgrade, vol. 61(210), pages 79-100, July - Se.
    21. Jan Bruha, 2015. "Dynamics of Linear Forward-looking Structural Macroeconomic Models at the Zero Lower Bound: Do Solution Techniques Matter?," Working Papers 2015/13, Czech National Bank, Research Department.
    22. Holden, Thomas, 2016. "Existence and uniqueness of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130142, ZBW - German National Library of Economics.
    23. Jensen, Henrik & Ravn, Søren Hove & Santoro, Emiliano, 2016. "Deepening Contractions and Collateral Constraints," CEPR Discussion Papers 11166, C.E.P.R. Discussion Papers.
    24. Menzie D. Chinn & Yi Zhang, 2015. "Uncovered Interest Parity and Monetary Policy Near and Far from the Zero Lower Bound," NBER Working Papers 21159, National Bureau of Economic Research, Inc.
    25. Michal Franta & Tomas Holub & Petr Kral & Ivana Kubicova & Katerina Smidkova & Borek Vasicek, 2014. "The Exchange Rate as an Instrument at Zero Interest Rates: The Case of the Czech Republic," Research and Policy Notes 2014/03, Czech National Bank, Research Department.

    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • 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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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