IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/19208.html

Solving the DMP Model Accurately

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w19208.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Dale T. Mortensen, 1982. "The Matching Process as a Noncooperative Bargaining Game," NBER Chapters, in: The Economics of Information and Uncertainty, pages 233-258, National Bureau of Economic Research, Inc.
    3. 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.
    4. 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.
    5. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    6. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez, 2007. "Estimating Macroeconomic Models: A Likelihood Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1059-1087.
    7. John J. McCall, 1982. "The Economics of Information and Uncertainty," NBER Books, National Bureau of Economic Research, Inc, number mcca82-1, January.
    8. 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.
    9. Christopher A. Pissarides, 2009. "The Unemployment Volatility Puzzle: Is Wage Stickiness the Answer?," Econometrica, Econometric Society, vol. 77(5), pages 1339-1369, September.
    10. 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.
    11. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
    12. Mark Gertler & Antonella Trigari, 2009. "Unemployment Fluctuations with Staggered Nash Wage Bargaining," Journal of Political Economy, University of Chicago Press, vol. 117(1), pages 38-86, February.
    13. 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.
    14. Galí, Jordi, 2010. "Monetary Policy and Unemployment," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 10, pages 487-546, Elsevier.
    15. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-690, September.
    16. 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.
    17. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
    18. Adjemian, Stéphane & Bastani, Houtan & Juillard, Michel & Karamé, Fréderic & Maih, Junior & Mihoubi, Ferhat & Mutschler, Willi & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébasti, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Mar 2021.
    19. 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.
    20. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:spo:wpmain:info:hdl:2441/5por5bt92h8l0bc7ls4elmcc0b is not listed on IDEAS
    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. Wouter J Den Haan & Pontus Rendahl & Markus Riegler, 2018. "Unemployment (Fears) and Deflationary Spirals," Journal of the European Economic Association, European Economic Association, vol. 16(5), pages 1281-1349.
    4. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    5. repec:spo:wpecon:info:hdl:2441/1787nsa6d1927a90u4bkkombn4 is not listed on IDEAS
    6. Hairault, Jean-Olivier & Langot, Francois & Sopraseuth, Thepthida, 2019. "Unemployment fluctuations over the life cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 334-352.
    7. Nicolas Petrosky-Nadeau & Etienne Wasmer, 2015. "Macroeconomic Dynamics in a Model of Goods, Labor and Credit Market Frictions," SciencePo Working papers hal-03392977, HAL.
    8. Pablo Guerron-Quintana & Jesus Fernandez-Villaverde & Thorsten Drautzburg, 2017. "Political Distribution Risk and Business Cycles," 2017 Meeting Papers 1201, Society for Economic Dynamics.
    9. Hairault, Jean-Olivier & Langot, Francois & Sopraseuth, Thepthida, 2019. "Unemployment fluctuations over the life cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 334-352.
    10. Drautzburg, Thorsten & Fernández-Villaverde, Jesús & Guerrón-Quintana, Pablo, 2021. "Bargaining shocks and aggregate fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    11. Thorsten Drautzburg & Jesus Fernandez-Villaverde & Pablo Guerrón-Quintana, 2017. "Political Distribution Risk and Aggregate Fluctuations," PIER Working Paper Archive 17-016, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 Jul 2017.
    12. Jonathon Hazell & Bledi Taska, 2020. "Downward Rigidity in the Wage for New Hires," Discussion Papers 2028, Centre for Macroeconomics (CFM).
    13. 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.
    14. repec:spo:wpmain:info:hdl:2441/1787nsa6d1927a90u4bkkombn4 is not listed on IDEAS
    15. repec:hum:wpaper:sfb649dp2014-049 is not listed on IDEAS

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nicolas Petrosky-Nadeau & Lu Zhang, "undated". "Unemployment Crises," GSIA Working Papers 2013-E5, Carnegie Mellon University, Tepper School of Business.
    2. 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.
    3. Lechthaler, Wolfgang & Merkl, Christian & Snower, Dennis J., 2010. "Monetary persistence and the labor market: A new perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 968-983, May.
    4. Sergio A. Lago Alves, 2012. "Trend Inflation and the Unemployment Volatility Puzzle," Working Papers Series 277, Central Bank of Brazil, Research Department.
    5. Sergio A. Lago Alves, 2018. "Monetary Policy, Trend Inflation, and Unemployment Volatility," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(4), pages 637-673, June.
    6. Mikhail Simutin & JessieJiaxu Wang & Lars Kuehn, 2014. "A Labor Capital Asset Pricing Model," 2014 Meeting Papers 695, Society for Economic Dynamics.
    7. Federico Di Pace & Matthias Hertweck, 2019. "Labor Market Frictions, Monetary Policy, and Durable Goods," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 274-304, April.
    8. Bodenstein, Martin & Kamber, Güneş & Thoenissen, Christoph, 2018. "Commodity prices and labour market dynamics in small open economies," Journal of International Economics, Elsevier, vol. 115(C), pages 170-184.
    9. Matthias S. Hertweck & Vivien Lewis & Stefania Villa, 2021. "Going the Extra Mile: Effort by Workers and Job‐Seekers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(8), pages 2099-2127, December.
    10. repec:spo:wpecon:info:hdl:2441/1787nsa6d1927a90u4bkkombn4 is not listed on IDEAS
    11. Rogerson, Richard & Shimer, Robert, 2011. "Search in Macroeconomic Models of the Labor Market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 7, pages Pages: 61, Elsevier.
    12. Josué Diwambuena & Raquel Fonseca & Stefan Schubert, 2021. "Italian Labour Frictions and Wage Rigidities in an Estimated DSGE," BEMPS - Bozen Economics & Management Paper Series BEMPS88, Faculty of Economics and Management at the Free University of Bozen.
    13. Zhang, Yahong, 2018. "Financial factors and labor market fluctuations," Economic Modelling, Elsevier, vol. 74(C), pages 24-44.
    14. Bernstein, Joshua & Richter, Alexander W. & Throckmorton, Nathaniel A., 2021. "Cyclical net entry and exit," European Economic Review, Elsevier, vol. 136(C).
    15. repec:spo:wpmain:info:hdl:2441/1787nsa6d1927a90u4bkkombn4 is not listed on IDEAS
    16. 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.
    17. Antonella Trigari, 2006. "The Role of Search Frictions and Bargaining for Inflation Dynamics," Working Papers 304, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    18. Giuseppe Ciccarone & Francesco Giuli, 2012. "Underground labor, search frictions and macroeconomic fluctuations," Departmental Working Papers of Economics - University 'Roma Tre' 0159, Department of Economics - University Roma Tre.
    19. Alejandro Justiniano & Claudio Michelacci, 2011. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies in the US and Europe," NBER Working Papers 17429, National Bureau of Economic Research, Inc.
    20. Moon, Weh-Sol, 2011. "Business cycle with nominal contracts and search frictions," MPRA Paper 31716, University Library of Munich, Germany.
    21. Obstbaum, Meri, 2011. "The role of labour markets in fiscal policy transmission," Research Discussion Papers 16/2011, Bank of Finland.
    22. 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.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:19208. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.