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Likelihood Estimation of DSGE Models with Epstein-Zin Preferences


  • Ralph S.J. Koijen

    (New York University and Tilburg University)

  • Jules H. van Binsbergen

    (Duke University,)

  • Juan F. Rubio-Ramírez

    (Duke University and Federal Reserve Bank of Atlanta.)

  • Jesus Fernandez-Villaverde

    (University of Pennsylvania)


This paper illustrates how to perform likelihood-based inference in dynamic stochastic general equilibrium (DSGE) models with Epstein-Zin preferences. This class of preferences has recently become a popular device to account for asset pricing observations and other phenomena that are challenging to address within the traditional state-separable utility framework. However, there has been little econometric work in the area, particularly from a likelihood perspective, because of the difficulty in computing an equilibrium solution to the model and in deriving the likelihood function. To fill this gap, we build a real business cycle model with Epstein-Zin preferences and long run growth, solve it with perturbation techniques, and evaluate its likelihood with the particle filter. We estimate the model using U.S. macro and yield curve data. We discuss the ability of the model to explain the business cycle, asset prices, the comovements between these two, and the implications of our point estimates for the welfare cost of the business cycle.

Suggested Citation

  • Ralph S.J. Koijen & Jules H. van Binsbergen & Juan F. Rubio-Ramírez & Jesus Fernandez-Villaverde, 2008. "Likelihood Estimation of DSGE Models with Epstein-Zin Preferences," 2008 Meeting Papers 1099, Society for Economic Dynamics.
  • Handle: RePEc:red:sed008:1099

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    References listed on IDEAS

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    Cited by:

    1. Oreste Tristani & Gianni Amisano, 2010. "A nonlinear DSGE model of the term structure with regime shifts," 2010 Meeting Papers 234, Society for Economic Dynamics.
    2. Francois Gourio, 2012. "Disaster Risk and Business Cycles," American Economic Review, American Economic Association, vol. 102(6), pages 2734-2766, October.
    3. Harald Uhlig, 2010. "Easy EZ in DSGE," 2010 Meeting Papers 111, Society for Economic Dynamics.

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