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Computing DSGE Models with Recursive Preferences

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  • Dario Caldara

    ()
    (Institute of International Economic Studies, Stockholm University)

  • Jesus Fernandez-Villaverde

    ()
    (Department of Economics, University of Pennsylvania)

  • Juan F. Rubio-Ramirez

    ()
    (Department of Economics, Duke University)

  • Wen Yao

    ()
    (Department of Economics, University of Pennsylvania)

Abstract

This paper compares different solution methods for computing the equilibrium of dynamic stochastic general equilibrium (DSGE) models with recursive preferences such as those in Epstein and Zin (1989 and 1991). Models with these preferences have recently become popular, but we know little about the best ways to implement them numerically. To fill this gap, we solve the stochastic neoclassical growth model with recursive preferences using four different approaches: second and third-order perturbation, Chebyshev polynomials, and value function iteration. We document the performance of the methods in terms of computing time, implementation complexity, and accuracy. Our main finding is that a third-order perturbation is competitive in terms of accuracy with Chebyshev polynomials and value function iteration, while being an order of magnitude faster to run. Therefore, we conclude that perturbation methods are an attractive approach for computing this class of problems.

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Bibliographic Info

Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 09-018.

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Length: 41 pages
Date of creation: 25 May 2009
Date of revision:
Handle: RePEc:pen:papers:09-018

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Keywords: DSGE Models; Recursive Preferences; Perturbation;

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  1. Gomes, Francisco J & Michaelides, Alexander, 2005. "Optimal Life-Cycle Asset Allocation: Understanding the Empirical Evidence," CEPR Discussion Papers, C.E.P.R. Discussion Papers 4853, C.E.P.R. Discussion Papers.
  2. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, Econometric Society, vol. 57(4), pages 937-69, July.
  3. Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
  4. Jim Dolmas, 2007. "Real business cycle dynamics under first-order risk aversion," Working Papers, Federal Reserve Bank of Dallas 0704, Federal Reserve Bank of Dallas.
  5. David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," Working Papers, New York University, Leonard N. Stern School of Business, Department of Economics 04-20, New York University, Leonard N. Stern School of Business, Department of Economics.
  6. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers, Department of Economics and Business, Universitat Pompeu Fabra 42, Department of Economics and Business, Universitat Pompeu Fabra.
  7. Benigno, Pierpaolo & Woodford, Michael, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," CEPR Discussion Papers, C.E.P.R. Discussion Papers 5964, C.E.P.R. Discussion Papers.
  8. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, American Economic Association, vol. 83(3), pages 487-512, June.
  9. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 116(2), pages 260-302, 04.
  10. Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Solving DSGE models with perturbation methods and a change of variables," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 30(12), pages 2509-2531, December.
  11. Lars Peter Hansen & Ellen R. McGrattan & Thomas J. Sargent, 1994. "Mechanics of forming and estimating dynamic linear economies," Staff Report, Federal Reserve Bank of Minneapolis 182, Federal Reserve Bank of Minneapolis.
  12. Lawrence J. Christiano & Martin Eichenbaum & Charles Evans, 2001. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," NBER Working Papers 8403, National Bureau of Economic Research, Inc.
  13. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 30(12), pages 2477-2508, December.
  14. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, SUNY-Oswego, Department of Economics, number comp1, Spring.
  15. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," NBER Technical Working Papers, National Bureau of Economic Research, Inc 0282, National Bureau of Economic Research, Inc.
  16. Thomas Tallarini, . "Risk-Sensitive Real Business Cycles," GSIA Working Papers, Carnegie Mellon University, Tepper School of Business 1997-35, Carnegie Mellon University, Tepper School of Business.
  17. Krüger, Dirk & Kubler, Felix, 2005. "Pareto Improving Social Security Reform when Financial Markets Are Incomplete," CEPR Discussion Papers, C.E.P.R. Discussion Papers 5039, C.E.P.R. Discussion Papers.
  18. Fernando Restoy & Philippe Weil, 1995. "Approximate Equilibrium Asset Prices," Banco de Espa�a Working Papers, Banco de Espa�a 9515, Banco de Espa�a.
  19. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, Econometric Society, vol. 46(1), pages 185-200, January.
  20. John Y. Campbell & Luis M. Viceira, 2000. "Who Should Buy Long-Term Bonds?," Harvard Institute of Economic Research Working Papers, Harvard - Institute of Economic Research 1895, Harvard - Institute of Economic Research.
  21. Claudio Campanale & Rui Castro & Gian Luca Clementi, 2007. "Asset Pricing in a Production Economy with ChewÐDekel Preferences," Working Paper Series, The Rimini Centre for Economic Analysis 07-07, The Rimini Centre for Economic Analysis, revised Jul 2007.
  22. Ravi Bansal & Robert Dittmar & Dana Kiku, 2009. "Cointegration and Consumption Risks in Asset Returns," Review of Financial Studies, Society for Financial Studies, Society for Financial Studies, vol. 22(3), pages 1343-1375, March.
  23. 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.
  24. Smets, Frank & Wouters, Rafael, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," CEPR Discussion Papers, C.E.P.R. Discussion Papers 6112, C.E.P.R. Discussion Papers.
  25. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 99(2), pages 263-86, April.
  26. Ravi Bansal & A. Ronald Gallant & George Tauchen, 2007. "Rational Pessimism, Rational Exuberance, and Asset Pricing Models," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1005-1033.
  27. Levine, Paul & Pearlman, Joseph & Pierse, Richard, 2008. "Linear-quadratic approximation, external habit and targeting rules," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 32(10), pages 3315-3349, October.
  28. Monika Piazzesi & Martin Schneider, 2006. "Equilibrium Yield Curves," NBER Working Papers 12609, National Bureau of Economic Research, Inc.
  29. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, Elsevier, vol. 20(2), pages 177-181.
  30. Dolmas, Jim, 1996. "Balanced-growth-consistent recursive utility," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 20(4), pages 657-680, April.
  31. Campbell, John Y, 1996. "Understanding Risk and Return," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 104(2), pages 298-345, April.
  32. Mariano M. Croce, 2006. "Welfare Costs, Long Run Consumption Risk, and a Production Economy," 2006 Meeting Papers, Society for Economic Dynamics 582, Society for Economic Dynamics.
  33. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, The MIT Press, edition 1, volume 1, number 0262100711, December.
  34. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, Elsevier, vol. 58(2), pages 410-452, December.
  35. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 21(6), pages 1025-1042, June.
  36. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 105(1), pages 29-42, February.
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