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Estimation of DSGE Models When the Data are Persistent

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  • Yuriy Gorodnichenko
  • Serena Ng

Abstract

Dynamic Stochastic General Equilibrium (DSGE) models are often solved and estimated under specific assumptions as to whether the exogenous variables are difference or trend stationary. However, even mild departures of the data generating process from these assumptions can severely bias the estimates of the model parameters. This paper proposes new estimators that do not require researchers to take a stand on whether shocks have permanent or transitory effects. These procedures have two key features. First, the same filter is applied to both the data and the model variables. Second, the filtered variables are stationary when evaluated at the true parameter vector. The estimators are approximately normally distributed not only when the shocks are mildly persistent, but also when they have near or exact unit roots. Simulations show that these robust estimators perform well especially when the shocks are highly persistent yet stationary. In such cases, linear detrending and first differencing are shown to yield biased or imprecise estimates.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 15187.

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Date of creation: Jul 2009
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Handle: RePEc:nbr:nberwo:15187

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Citations

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Cited by:
  1. Martin Møller Andreasen, 2008. "Ensuring the Validity of the Micro Foundation in DSGE Models," CREATES Research Papers 2008-26, School of Economics and Management, University of Aarhus.
  2. Yuriy Gorodnichenko & Johannes Wieland & Olivier Coibion, 2012. "The Optimal Inflation Rate in New Keynesian Models: Should Central Banks Raise Their Inflation Targets in Light of the Zero Lower Bound?," 2012 Meeting Papers 70, Society for Economic Dynamics.
  3. Filippo Ferroni, 2011. "Trend Agnostic One-Step Estimation of DSGE Models," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 25.
  4. Guido Ascari & Efrem Castelnuovo & Lorenza Rossi, 2010. "Calvo vs. Rotemberg in a Trend Inflation World: An Empirical Investigation," Quaderni di Dipartimento 108, University of Pavia, Department of Economics and Quantitative Methods.
  5. Fabio Canova & Filippo Ferroni, 2009. "Multiple filtering devices for the estimation of cyclical DSGE models," Economics Working Papers 1135, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2010.
  6. Chevillon, Guillaume & Massmann, Michael & Mavroeidis, Sophocles, 2010. "Inference in models with adaptive learning," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 341-351, April.
  7. Richard Harrison & George Kapetanios & Alasdair Scott & Jana Eklund, 2008. "Breaks in DSGE models," 2008 Meeting Papers 657, Society for Economic Dynamics.
  8. Gunnar Bårdsen & Luca Fanelli, 2013. "Frequentist evaluation of small DSGE models," Working Paper Series 14113, Department of Economics, Norwegian University of Science and Technology.
  9. Filippo Ferroni, 2010. "Commentary on MEDEA: A DSGE model for the Spanish economy," SERIEs, Spanish Economic Association, vol. 1(1), pages 245-249, March.
  10. Nalan Basturk & Cem Cakmakli & Pinar Ceyhan & Herman K. van Dijk, 2013. "Posterior-Predictive Evidence on US Inflation using Phillips Curve Models with Non-Filtered Time Series," Tinbergen Institute Discussion Papers 13-011/III, Tinbergen Institute.
  11. Olivier Coibion & Yuriy Gorodnichenko, 2010. "Strategic Interaction among Heterogeneous Price-Setters in an Estimated DSGE Model," Working Papers 93, Department of Economics, College of William and Mary.
  12. Franke, Reiner & Jang, Tae-Seok & Sacht, Stephen, 2011. "Moment matching versus Bayesian estimation: Backward-looking behaviour in the new-Keynesian three-equations model," Economics Working Papers 2011,10, Christian-Albrechts-University of Kiel, Department of Economics.
  13. Franke, Reiner & Jang, Tae-Seok & Sacht, Stephen, 2012. "Moment matching versus Bayesian estimation: Backward-looking behaviour in a New-Keynesian baseline model," Economics Working Papers 2012-08, Christian-Albrechts-University of Kiel, Department of Economics.
  14. Luca Fanelli, 2009. "Estimation of quasi-rational DSGE monetary models," Quaderni di Dipartimento 3, Department of Statistics, University of Bologna.

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