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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.

Suggested Citation

  • Nicolas Petrosky-Nadeau & Lu Zhang, 2013. "Solving the DMP Model Accurately," NBER Working Papers 19208, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:19208
    Note: AP CF EFG LS ME
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    References listed on IDEAS

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    1. Marcus Hagedorn & Iourii Manovskii, 2008. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies Revisited," American Economic Review, American Economic Association, vol. 98(4), pages 1692-1706, September.
    2. 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.
    3. Olivier Blanchard & Jordi Galí, 2010. "Labor Markets and Monetary Policy: A New Keynesian Model with Unemployment," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(2), pages 1-30, April.
    4. repec:wop:calsdi:97-23 is not listed on IDEAS
    5. Kuehn Lars-Alexander & Petrosky-Nadeau Nicolas & Zhang Lu, "undated". "An Equilibrium Asset Pricing Model with Labor Market Search," GSIA Working Papers 2010-E63, Carnegie Mellon University, Tepper School of Business.
    6. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    7. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    8. Ch. Pissarides., 2011. "The Unemployment Volatility Puzzle: Is Wage Stickiness the Answer?," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 1.
    9. 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.
    10. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    11. Karen Kopecky & Richard Suen, 2010. "Finite State Markov-chain Approximations to Highly Persistent Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 701-714, July.
    12. 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.
    13. 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.
    14. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
    15. Adjemian, Stéphane & Bastani, Houtan & Juillard, Michel & Karamé, Fréderic & Maih, Junior & Mihoubi, Ferhat & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébastien, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Feb 2018.
    16. 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, September.
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    Citations

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    Cited by:

    1. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    2. Petrosky-Nadeau, Nicolas & Wasmer, Etienne, 2015. "Macroeconomic dynamics in a model of goods, labor, and credit market frictions," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 97-113.
    3. Petrosky-Nadeau, Nicolas & Wasmer, Etienne, 2015. "Macroeconomic dynamics in a model of goods, labor, and credit market frictions," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 97-113.
    4. repec:kap:compec:v:51:y:2018:i:1:d:10.1007_s10614-017-9670-z is not listed on IDEAS
    5. Hong Lan, 2018. "Comparing Solution Methods for DSGE Models with Labor Market Search," Computational Economics, Springer;Society for Computational Economics, vol. 51(1), pages 1-34, January.

    More about this item

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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