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Efficient Simulation of DSGE Models with Inequality Constraints

  • Tom Holden

    ()

  • Michael Paetz

    ()

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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File URL: http://www.uni-hamburg.de/fachbereiche-einrichtungen/fb03/iwwt/makro/inequality.pdf
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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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  1. Lena Mareen Koerber & R. Anton Braun, 2010. "New Keynesian Dynamics in a Low Interest Rate Environment," 2010 Meeting Papers 531, Society for Economic Dynamics.
  2. Jeff Fuhrer & Brian Madigan, 1994. "Monetary policy when interest rates are bounded at zero," Working Papers in Applied Economic Theory 94-06, Federal Reserve Bank of San Francisco.
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  4. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
  5. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "The science of monetary policy: A new Keynesian perspective," Economics Working Papers 356, Department of Economics and Business, Universitat Pompeu Fabra, revised Apr 1999.
  6. Michael Funke & Michael Paetz, 2012. "A DSGE-based assessment of nonlinear loan-to-Value policies: Evidence from Hong Kong," Quantitative Macroeconomics Working Papers 21204, Hamburg University, Department of Economics.
  7. Ray C. Fair & John B. Taylor, 1980. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear RationalExpectations Models," NBER Technical Working Papers 0005, National Bureau of Economic Research, Inc.
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  9. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
  10. Rotemberg, Julio J., 1996. "Prices, output, and hours: An empirical analysis based on a sticky price model," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 505-533, June.
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  12. Coenen, Günter & Orphanides, Athanasios & Wieland, Volker, 2003. "Price stability and monetary policy effectiveness when nominal interest rates are bounded at zero," Working Paper Series 0231, European Central Bank.
  13. Holden, Tom, 2011. "Products, patents and productivity persistence: A DSGE model of endogenous growth," Dynare Working Papers 4, CEPREMAP.
  14. 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.
  15. Kenneth Judd & Lilia Maliar & Serguei Maliar, 2011. "Solving the multi-country real business cycle model using ergodic set methods," Working Papers. Serie AD 2011-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  16. 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.
  17. Clarida, Richard & Gali, Jordi & Gertler, Mark, 2002. "A simple framework for international monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 49(5), pages 879-904, July.
  18. Michael Funke & Michael Paetz & Qianying Chen,, 2012. "Market and Non-Market Monetary Policy Tools in a Calibrated DSGE Model for Mainland China," Quantitative Macroeconomics Working Papers 21207, Hamburg University, Department of Economics.
  19. Fernández-Villaverde, Jesús & Gordon, Grey & Guerron-Quintana, Pablo A. & Rubio-Ramírez, Juan Francisco, 2012. "Nonlinear Adventures at the Zero Lower Bound," CEPR Discussion Papers 8972, C.E.P.R. Discussion Papers.
  20. 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 Jul 2014.
  21. 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.
  22. R. Anton Braun & Lena Mareen Körber & Yuichiro Waki, 2012. "Some unpleasant properties of log-linearized solutions when the nominal rate is zero," Working Paper 2012-05, Federal Reserve Bank of Atlanta.
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