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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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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
Date of revision:
Handle: RePEc:ham:qmwops:21207b
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  5. Jesús Fernández-Villaverde & Grey Gordon & Pablo A. Guerrón-Quintana & Juan Rubio-Ramírez, 2012. "Nonlinear Adventures at the Zero Lower Bound," NBER Working Papers 18058, National Bureau of Economic Research, Inc.
  6. Jeffrey C. Fuhrer & Brian F. Madigan, 1997. "Monetary Policy When Interest Rates Are Bounded At Zero," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 573-585, November.
  7. R. Anton Braun & Lena Mareen Körber, 2011. "New Keynesian dynamics in a low interest rate environment," FRB Atlanta Working Paper No. 2011-10, Federal Reserve Bank of Atlanta.
  8. Coenen, Günter & Orphanides, Athanasios & Wieland, Volker, 2003. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," CEPR Discussion Papers 3892, C.E.P.R. Discussion Papers.
  9. 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.
  10. 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.
  11. 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.
  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. 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.
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  15. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
  16. R. Anton Braun & Lena Mareen Körber & Yuichiro Waki, 2012. "Some unpleasant properties of log-linearized solutions when the nominal rate is zero," FRB Atlanta Working Paper No. 2012-05, Federal Reserve Bank of Atlanta.
  17. Jordi Galí & Mark Gertler, 1998. "Inflation dynamics: A structural econometric analysis," Economics Working Papers 341, Department of Economics and Business, Universitat Pompeu Fabra.
  18. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
  19. R. Anton Braun & Yuichiro Waki, 2006. "Monetary Policy During Japan'S Lost Decade," The Japanese Economic Review, Japanese Economic Association, vol. 57(2), pages 324-344.
  20. 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.
  21. 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.
  22. 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.
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