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Solving the DMP Model Accurately

  • Nicolas Petrosky-Nadeau
  • Lu Zhang

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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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. Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
  2. Hagedorn, Marcus & Manovskii, Iourii, 2008. "The cyclical behavior of equilibrium unemployment and vacancies revisited," Working Paper Series 0853, European Central Bank.
  3. Blanchard, Olivier J & Galí, Jordi, 2008. "Labour Markets and Monetary Policy: A New Keynesian Model with Unemployment," CEPR Discussion Papers 6765, C.E.P.R. Discussion Papers.
  4. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  5. 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.
  6. Kopecky, Karen A. & Suen, Richard M. H., 2009. "Finite State Markov-Chain Approximations to Highly Persistent Processes," MPRA Paper 15122, University Library of Munich, Germany.
  7. Kuehn Lars-Alexander & Petrosky-Nadeau Nicolas & Zhang Lu, . "An Equilibrium Asset Pricing Model with Labor Market Search," GSIA Working Papers 2010-E63, Carnegie Mellon University, Tepper School of Business.
  8. Nicolas Petrosky-Nadeau & Lu Zhang, . "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
  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. 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.
  11. Garey Ramey & Wouter J. den Haan & Joel Watson, 2000. "Job Destruction and Propagation of Shocks," American Economic Review, American Economic Association, vol. 90(3), pages 482-498, June.
  12. 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.
  13. 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.
  14. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
  15. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez, 2007. "Estimating Macroeconomic Models: A Likelihood Approach," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1059-1087.
  16. Petrosky-Nadeau, Nicolas & Zhang, Lu, 2013. "Unemployment Crises," Working Paper Series 2014-11, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
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