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The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications

Author

Listed:
  • Martin M. Andreasen

    (Aarhus University and CREATES)

  • Jesús Fernández-Villaverde

    (University of Pennsylvania, FEDEA, NBER, and CEPR)

  • Juan F. Rubio-Ramírez

    (Duke University, Federal Reserve Bank of Atlanta, and FEDEA)

Abstract
This paper studies the pruned state-space system for higher-order approximations to the solutions of DSGE models. For second- and third-order approximations, we derive the statistical properties of this system and provide closed-form expressions for ?first and second unconditional moments and impulse response functions. Thus, our analysis introduces GMM estimation for DSGE models approximated up to third-order and provides the foundation for indirect inference and SMM when simulation is required. We illustrate the usefulness of our approach by estimating a New Keynesian model with habits and Epstein-Zin preferences by GMM when using ?rst and second unconditional moments of macroeconomic and ?nancial data and by SMM when using additional third and fourth unconditional moments and non-Gaussian innovations.

Suggested Citation

  • Martin M. Andreasen & Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez, 2013. "The Pruned State-Space System for Non-Linear DSGE Models: Theory and Empirical Applications," CREATES Research Papers 2013-12, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2013-12
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    References listed on IDEAS

    as
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    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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