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Efficient Simulation of DSGE Models with Inequality Constraints

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  • Tom Holden

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  • Michael Paetz

    ()

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. To illustrate the usefulness and efficiency of this algorithm we provide two applications according to the zero lower bound (ZLB) on nominal interest rates. Our solution principle is much faster than comparable methods. We therefore expect this algorithm to be very helpful also for estimation procedures, and for a wide range of applications apart from monetary policy analysis.

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Bibliographic Info

Paper provided by Hamburg University, Department of Economics in its series Quantitative Macroeconomics Working Papers with number 21207b.

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Date of creation: Jul 2012
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Handle: RePEc:ham:qmwops:21207b

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Keywords: inequality constraints; zero lower bound; DSGE model; New Keynesian framework; two-country models;

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References

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  1. Adjemian, Stéphane & Bastani, Houtan & Karamé, Fréderic & Juillard, Michel & Maih, Junior & Mihoubi, Ferhat & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébastien, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Apr 2014.
  2. Tom Holden, 2010. "Products, patents and productivity persistence: A DSGE model of endogenous growth," Economics Series Working Papers 512, University of Oxford, Department of Economics.
  3. Jeffrey Fuhrer & Brian Madigan, 1994. "Monetary policy when interest rates are bounded at zero," Working Papers 94-1, Federal Reserve Bank of Boston.
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  6. Coenen, Günter & Orphanides, Athanasios & Wieland, Volker, 2003. "Price stability and monetary policy effectiveness when nominal interest rates are bounded at zero," CFS Working Paper Series 2003/13, Center for Financial Studies (CFS).
  7. 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.
  8. Jesús Fernández-Villaverde & Grey Gordon & Pablo Guerrón-Quintana & Juan F. Rubio-Ramírez, 2012. "Nonlinear adventures at the zero lower bound," Working Papers 12-10, Federal Reserve Bank of Philadelphia.
  9. Wieland, Volker & Cwik, Tobias & Müller, Gernot J. & Schmidt, Sebastian & Wolters, Maik Hendrik, 2012. "A new comparative approach to macroeconomic modeling and policy analysis," IMFS Working Paper Series 49, Institute for Monetary and Financial Stability (IMFS), Goethe University Frankfurt.
  10. Jung, Taehun & Teranishi, Yuki & Watanabe, Tsutomu, 2005. "Optimal Monetary Policy at the Zero-Interest-Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 813-35, October.
  11. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
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  13. Serguei Maliar & Lilia Maliar & Kenneth L. Judd, 2010. "Solving the Multi-Country Real Business Cycle Model Using Ergodic Set Methods," NBER Working Papers 16304, National Bureau of Economic Research, Inc.
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  15. Lena Mareen Koerber & R. Anton Braun, 2010. "New Keynesian Dynamics in a Low Interest Rate Environment," 2010 Meeting Papers 531, Society for Economic Dynamics.
  16. Funke, Michael & Paetz, Michael, 2012. "A DSGE-Based Assessment of Nonlinear Loan-to-Value Policies: Evidence from Hong Kong," BOFIT Discussion Papers 11/2012, Bank of Finland, Institute for Economies in Transition.
  17. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
  18. Malin, Benjamin A. & Krueger, Dirk & Kubler, Felix, 2011. "Solving the multi-country real business cycle model using a Smolyak-collocation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 229-239, February.
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  20. Richard Clarida & Jordi Gali & Mark Gertler, 2002. "A Simple Framework for International Monetary Policy Analysis," NBER Working Papers 8870, National Bureau of Economic Research, Inc.
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Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Efficient Simulation of DSGE Models with Inequality Constraints
    by Christian Zimmermann in NEP-DGE blog on 2012-08-26 03:03:22
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
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Cited by:
  1. William T. Gavin & Benjamin D. Keen, 2012. "U.S. monetary policy: a view from macro theory," Working Papers 2012-019, Federal Reserve Bank of St. Louis.
  2. 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.
  3. 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.
  4. Richard McManus, 2013. "Austerity versus Stimulus: A DSGE Political Economy Explanation," Discussion Papers 13/09, Department of Economics, University of York.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

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