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Solving the DMP Model Accurately

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  • Nicolas Petrosky-Nadeau
  • Lu Zhang

Abstract

An accurate global algorithm is critical for quantifying the dynamics of the Diamond-Mortensen-Pissarides model. Loglinearization understates the mean and volatility of unemployment, overstates the unemployment-vacancy correlation, and ignores impulse responses that are an order of magnitude larger in recessions than in booms. Although improving on loglinearization, the second-order perturbation in logs also induces large errors. We demonstrate these insights in the context of Hagedorn and Manovskii (2008). Once solved accurately, their small surplus calibration fails to explain the Shimer (2005) puzzle. While the volatility of labor market tightness is close to the data, the unemployment volatility is too high.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 19208.

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Date of creation: Jul 2013
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Handle: RePEc:nbr:nberwo:19208

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  1. Marcus Hagedorn & Iourii Manovskii, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited," 2005 Meeting Papers 460, Society for Economic Dynamics.
  2. Olivier Blanchard & Jordi Gali, 2008. "Labor Markets and Monetary Policy: A New-Keynesian Model with Unemployment," NBER Working Papers 13897, National Bureau of Economic Research, Inc.
  3. Christopher Pissarides, 2007. "The unemployment volatility puzzle: is wage stickiness the answer?," LSE Research Online Documents on Economics 4460, London School of Economics and Political Science, LSE Library.
  4. Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for Solving Dynamic Models with Occasionally Binding Constraints," NBER Technical Working Papers 0218, National Bureau of Economic Research, Inc.
  5. Kuehn, Lars-Alexander & Petrosky-Nadeau, Nicolas & Zhang, Lu, 2011. "An Equilibrium Asset Pricing Model with Labor Market Search," Working Paper Series 2012-01, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
  6. Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2006. "Estimating Macroeconomic Models: A Likelihood Approach," Levine's Bibliography 122247000000000849, UCLA Department of Economics.
  7. Wouter J. den Haan & Garey Ramey & Joel Watson, 1997. "Job Destruction and Propagation of Shocks," NBER Working Papers 6275, National Bureau of Economic Research, Inc.
  8. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
  9. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, 09.
  10. Nicolas Petrosky-Nadeau & Lu Zhang, . "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
  11. Den Haan, Wouter J. & De Wind, Joris, 2012. "Nonlinear and stable perturbation-based approximations," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1477-1497.
  12. Karen A. Kopecky & Richard M. H. Suen, 2009. "Finite State Markov-Chain Approximations to Highly Persistent Processes," Working Papers 200904, University of California at Riverside, Department of Economics, revised May 2009.
  13. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
  14. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  15. 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.
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Cited by:
  1. Nicolas Petrosky-Nadeau & Lu Zhang, . "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.

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