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Solving the Diamond–Mortensen–Pissarides model accurately

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  • Nicolas Petrosky‐Nadeau
  • Lu Zhang
Abstract
An accurate global projection algorithm is critical for quantifying the basic moments of the Diamond–Mortensen–Pissarides model. Log linearization understates the mean and volatility of unemployment, but overstates the volatility of labor market tightness and the magnitude of the unemployment–vacancy correlation. Log linearization also understates the impulse responses in unemployment in recessions, but overstates the responses in the market tightness in booms. Finally, the second‐order perturbation in logs can induce severe Euler equation errors, which are often much larger than those from log linearization.

Suggested Citation

  • Nicolas Petrosky‐Nadeau & Lu Zhang, 2017. "Solving the Diamond–Mortensen–Pissarides model accurately," Quantitative Economics, Econometric Society, vol. 8(2), pages 611-650, July.
    • Handle: RePEc:wly:quante:v:8:y:2017:i:2:p:611-650
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    Cited by:

    1. Kohlbrecher, Britta & Merkl, Christian, 2022. "Business cycle asymmetries and the labor market," Journal of Macroeconomics, Elsevier, vol. 73(C).
    2. Drautzburg, Thorsten & Fernández-Villaverde, Jesús & Guerrón-Quintana, Pablo, 2021. "Bargaining shocks and aggregate fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    3. Sylvain Leduc & Chitra Marti & Daniel J. Wilson, 2019. "Does Ultra-Low Unemployment Spur Rapid Wage Growth?," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
    4. Petrosky-Nadeau, Nicolas & Zhang, Lu, 2021. "Unemployment crises," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 335-353.
    5. Toshihiko Mukoyama, 2019. "Heterogeneous Jobs and the Aggregate Labour Market," The Japanese Economic Review, Springer, vol. 70(1), pages 30-50, March.
    6. Chase Coleman & Spencer Lyon & Lilia Maliar & Serguei Maliar, 2021. "Matlab, Python, Julia: What to Choose in Economics?," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1263-1288, December.
    7. Guerra Vallejos, Ernesto & Bobenrieth Hochfarber, Eugenio & Bobenrieth Hochfarber, Juan & Wright, Brian D., 2021. "Solving dynamic stochastic models with multiple occasionally binding constraints," Economic Modelling, Elsevier, vol. 105(C).
    8. Francesco Zanetti & Konstantinos Theodoridis, 2018. "State Dependence in Labor Market Fluctuations: Evidence, Theory, and Policy Implications," Economics Series Working Papers 856, University of Oxford, Department of Economics.
    9. Max Breitenlechner & Johann Scharler, 2020. "Private Sector Debt, Financial Constraints, and the Effects of Monetary Policy: Evidence from the US," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(4), pages 889-915, August.
    10. Brunner, Daniel & Heiss, Florian & Romahn, André & Weiser, Constantin, 2017. "Reliable estimation of random coefficient logit demand models," DICE Discussion Papers 267, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    11. Bai, Hang & Hou, Kewei & Kung, Howard & Li, Erica X.N. & Zhang, Lu, 2019. "The CAPM strikes back? An equilibrium model with disasters," Journal of Financial Economics, Elsevier, vol. 131(2), pages 269-298.
    12. Nicolas Petrosky-Nadeau & Lu Zhang & Lars-Alexander Kuehn, 2018. "Endogenous Disasters," American Economic Review, American Economic Association, vol. 108(8), pages 2212-2245, August.
    13. White, Neil, 2022. "An envelope method for solving continuous-time stochastic models with occasionally binding constraints," Economics Letters, Elsevier, vol. 214(C).
    14. Bernstein, Joshua & Richter, Alexander W. & Throckmorton, Nathaniel A., 2021. "Cyclical net entry and exit," European Economic Review, Elsevier, vol. 136(C).
    15. Donayre, Luiggi, 2022. "On the behavior of Okun's law across business cycles," Economic Modelling, Elsevier, vol. 112(C).
    16. Robert Kirkby, 2023. "Quantitative Macroeconomics: Lessons Learned from Fourteen Replications," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 875-896, February.
    17. Bai, Hang & Zhang, Lu, 2022. "Searching for the equity premium," Journal of Financial Economics, Elsevier, vol. 143(2), pages 897-926.
    18. James Bishop & Emma Greenland, 2021. "Is the Phillips Curve Still a Curve? Evidence from the Regions," RBA Research Discussion Papers rdp2021-09, Reserve Bank of Australia.
    19. Bai, Hang, 2021. "Unemployment and credit risk," Journal of Financial Economics, Elsevier, vol. 142(1), pages 127-145.
    20. Stéphane Dupraz & Emi Nakamura & Jón Steinsson, 2019. "A Plucking Model of Business Cycles," NBER Working Papers 26351, National Bureau of Economic Research, Inc.
    21. Miescu, Mirela & Mumtaz, Haroon & Theodoridis, Konstantinos, 2024. "Non-linear Dynamics of Oil Supply News Shocks," Cardiff Economics Working Papers E2024/18, Cardiff University, Cardiff Business School, Economics Section.
    22. Hänsel, Matthias, 2024. "Solving the Diamond–Mortensen–Pissarides model: A hybrid perturbation approach," Economics Letters, Elsevier, vol. 236(C).

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