Advanced Search
MyIDEAS: Login to save this paper or follow this series

Computing DSGE Models with Recursive Preferences

Contents:

Author Info

  • 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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://economics.sas.upenn.edu/system/files/working-papers/09-018.pdf
Download Restriction: no

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.

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

Contact details of provider:
Postal: 3718 Locust Walk, Philadelphia, PA 19104
Phone: 215-898-9992
Fax: 215-573-2378
Email:
Web page: http://economics.sas.upenn.edu/pier
More information through EDIRC

Related research

Keywords: DSGE Models; Recursive Preferences; Perturbation;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472 National Bureau of Economic Research, Inc.
  2. Krüger, Dirk & Kubler, Felix, 2005. "Pareto Improving Social Security Reform when Financial Markets Are Incomplete," CEPR Discussion Papers 5039, C.E.P.R. Discussion Papers.
  3. 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.
  4. David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," NBER Working Papers 10597, National Bureau of Economic Research, Inc.
  5. Benigno, Pierpaolo & Woodford, Michael, 2006. "Linear-Quadratic Approximation of Optimal Policy Problems," CEPR Discussion Papers 5964, C.E.P.R. Discussion Papers.
  6. Ravi Bansal & Robert Dittmar & Dana Kiku, 2007. "Cointegration and Consumption Risks in Asset Returns," NBER Working Papers 13108, National Bureau of Economic Research, Inc.
  7. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
  8. 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.
  9. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2003. "Comparing Solution Methods for Dynamic Equilibrium Economies," PIER Working Paper Archive 04-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  10. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  11. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 113(1), pages 1-45, February.
  12. John Y. Campbell, 1993. "Understanding Risk and Return," NBER Working Papers 4554, National Bureau of Economic Research, Inc.
  13. LuisM. Viceira & John Y. Campbell, 2001. "Who Should Buy Long-Term Bonds?," American Economic Review, American Economic Association, vol. 91(1), pages 99-127, March.
  14. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, American Finance Association, vol. 59(4), pages 1481-1509, 08.
  15. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  16. CAMPANALE, Claudio & CASTRO, Rui & CLEMENTI, Gian Luca, 2009. "Asset Pricing in a Production Economy with Chew–Dekel Preferences," Cahiers de recherche, Universite de Montreal, Departement de sciences economiques 2009-09, Universite de Montreal, Departement de sciences economiques.
  17. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life-Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, American Finance Association, vol. 60(2), pages 869-904, 04.
  18. Smets, Frank & Wouters, Rafael, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," CEPR Discussion Papers 6112, C.E.P.R. Discussion Papers.
  19. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 28(4), pages 755-775, January.
  20. Jim Dolmas, 2007. "Real business cycle dynamics under first-order risk aversion," Working Papers 0704, Federal Reserve Bank of Dallas.
  21. 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.
  22. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, Elsevier, vol. 45(3), pages 507-532, June.
  23. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, SUNY-Oswego, Department of Economics, number comp1, Spring.
  24. 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.
  25. Fernando Restoy & Philippe Weil, 1995. "Approximate Equilibrium Asset Prices," Banco de Espa�a Working Papers 9515, Banco de Espa�a.
  26. Levine, Paul & Pearlman, Joseph G. & Pierse, Richard, 2007. "Linear-quadratic approximation, external habit and targeting rules," Working Paper Series, European Central Bank 0759, European Central Bank.
  27. 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.
  28. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
  29. 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.
  30. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 105(1), pages 29-42, February.
  31. Dolmas, Jim, 1996. "Balanced-growth-consistent recursive utility," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 20(4), pages 657-680, 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, edition 1, volume 1, number 0262100711, December.
  34. 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.
  35. 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.
  36. 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.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:pen:papers:09-018. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dolly Guarini).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.