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Computing DSGE Models with Recursive Preferences

Author

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  • Rubio-Ramírez, Juan Francisco
  • Fernández-Villaverde, Jesús
  • Caldara, Dario
  • Yao, Wen
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.

Suggested Citation

  • Rubio-Ramírez, Juan Francisco & Fernández-Villaverde, Jesús & Caldara, Dario & Yao, Wen, 2009. "Computing DSGE Models with Recursive Preferences," CEPR Discussion Papers 7312, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:7312
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    1. Glenn D. Rudebusch & Eric T. Swanson, 2012. "The Bond Premium in a DSGE Model with Long-Run Real and Nominal Risks," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 105-143, January.
    2. 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, vol. 30(12), pages 2509-2531, December.
    3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    4. Anderson, Evan W. & McGrattan, Ellen R. & Hansen, Lars Peter & Sargent, Thomas J., 1996. "Mechanics of forming and estimating dynamic linear economies," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 4, pages 171-252, Elsevier.
    5. Fernando Restoy & Philippe Weil, 2011. "Approximate Equilibrium Asset Prices," Review of Finance, European Finance Association, vol. 15(1), pages 1-28.
    6. Georg Kaltenbrunner & Lars Lochstoer, 2007. "Long-Run Risk through Consumption Smoothing," 2007 Meeting Papers 25, Society for Economic Dynamics.
    7. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    8. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    9. Ravi Bansal & Robert Dittmar & Dana Kiku, 2009. "Cointegration and Consumption Risks in Asset Returns," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1343-1375.
    10. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, April.
    11. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life‐Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, April.
    12. 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.
    13. Campbell, John Y, 1996. "Understanding Risk and Return," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 298-345, April.
    14. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    15. Xiaohong Chen & Jack Favilukis & Sydney C. Ludvigson, 2013. "An estimation of economic models with recursive preferences," Quantitative Economics, Econometric Society, vol. 4(1), pages 39-83, March.
    16. Jim Dolmas, 2007. "Real business cycle dynamics under first-order risk aversion," Working Papers 0704, Federal Reserve Bank of Dallas.
    17. 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.
    18. repec:hal:spmain:info:hdl:2441/8644 is not listed on IDEAS
    19. 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, vol. 113(1), pages 1-45, February.
    20. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    21. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    22. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
    23. Benigno, Pierpaolo & Woodford, Michael, 2012. "Linear-quadratic approximation of optimal policy problems," Journal of Economic Theory, Elsevier, vol. 147(1), pages 1-42.
    24. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    25. repec:rim:rimwps:07-07 is not listed on IDEAS
    26. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    27. Ravi Bansal & A. Ronald Gallant & George Tauchen, 2007. "Rational Pessimism, Rational Exuberance, and Asset Pricing Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1005-1033.
    28. Levine, Paul & Pearlman, Joseph & Pierse, Richard, 2008. "Linear-quadratic approximation, external habit and targeting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3315-3349, October.
    29. 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, vol. 28(4), pages 755-775, January.
    30. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 3-17.
    31. Marin, Dalia & Verdier, Thierry, 2006. "Corporate Hierarchies and the Size of Nations: Theory and Evidence," Discussion Papers in Economics 1346, University of Munich, Department of Economics.
    32. 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, vol. 30(12), pages 2477-2508, December.
    33. 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, vol. 99(2), pages 263-286, April.
    34. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    35. Dolmas, Jim, 1996. "Balanced-growth-consistent recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 657-680, April.
    36. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    37. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    38. Mariano M. Croce, 2006. "Welfare Costs, Long Run Consumption Risk, and a Production Economy," 2006 Meeting Papers 582, Society for Economic Dynamics.
    39. Claudio Campanale & Rui Castro & Gian Luca Clementi, 2010. "Asset Pricing in a Production Economy with Chew-Dekel Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 379-402, April.
    40. Sydney C. Ludvigson & Xiaohong Chen & Jack Favilukis, 2007. "An Estimation of Economic Models with Recursive," FMG Discussion Papers dp603, Financial Markets Group.
    41. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    42. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    43. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    44. repec:hal:wpspec:info:hdl:2441/8644 is not listed on IDEAS
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    Cited by:

    1. Darracq Pariès, Matthieu & Loublier, Alexis, 2010. "Epstein-Zin preferences and their use in macro-finance models: implications for optimal monetary policy," Working Paper Series 1209, European Central Bank.
    2. Francisco Ruge‐Murcia, 2017. "Skewness Risk and Bond Prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 379-400, March.
    3. Olaf Posch & Timo Trimborn, 2010. "Numerical solution of continuous-time DSGE models under Poisson uncertainty," Economics Working Papers 2010-08, Department of Economics and Business Economics, Aarhus University.
    4. François Gourio, 2013. "Credit Risk and Disaster Risk," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(3), pages 1-34, July.
    5. Leland E. Farmer & Alexis Akira Toda, 2017. "Discretizing nonlinear, non‐Gaussian Markov processes with exact conditional moments," Quantitative Economics, Econometric Society, vol. 8(2), pages 651-683, July.
    6. Angelo M. Fasolo, 2011. "The Accuracy of Perturbation Methods to Solve Small Open Economy Models," Working Papers Series 262, Central Bank of Brazil, Research Department.
    7. Boons, Martijn & Duarte, Fernando & de Roon, Frans & Szymanowska, Marta, 2020. "Time-varying inflation risk and stock returns," Journal of Financial Economics, Elsevier, vol. 136(2), pages 444-470.
    8. Ales Marsal & Lorant Kaszab & Roman Horvath, 2017. "Government Spending and the Term Structure of Interest Rates in a DSGE Model," Working and Discussion Papers WP 3/2017, Research Department, National Bank of Slovakia.
    9. Lan, Hong & Meyer-Gohde, Alexander, 2013. "Decomposing risk in dynamic stochastic general equilibrium," SFB 649 Discussion Papers 2013-022, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    10. Harold L. Cole & Lee E. Ohanian, 2013. "The Impact of Cartelization, Money, and Productivity Shocks on the International Great Depression," NBER Working Papers 18823, National Bureau of Economic Research, Inc.
    11. Lan, Hong & Meyer-Gohde, Alexander, 2013. "Pruning in perturbation DSGE models: Guidance from nonlinear moving average approximations," SFB 649 Discussion Papers 2013-024, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    12. Andreasen , Martin & Zabczyk, Pawel, 2011. "An efficient method of computing higher-order bond price perturbation approximations," Bank of England working papers 416, Bank of England.
    13. van Binsbergen, Jules H. & Fernández-Villaverde, Jesús & Koijen, Ralph S.J. & Rubio-Ramírez, Juan, 2012. "The term structure of interest rates in a DSGE model with recursive preferences," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 634-648.
    14. Backus, David & Ferriere, Axelle & Zin, Stanley, 2015. "Risk and ambiguity in models of business cycles," Journal of Monetary Economics, Elsevier, vol. 69(C), pages 42-63.
    15. Cruz Echevarría, 2015. "Income tax progressivity, growth, income inequality and welfare," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 6(1), pages 43-72, March.
    16. Sanjay Chugh, 2016. "Firm Risk and Leverage-Based Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 111-131, April.
    17. Francois Gourio, 2012. "Disaster Risk and Business Cycles," American Economic Review, American Economic Association, vol. 102(6), pages 2734-2766, October.
    18. repec:hum:wpaper:sfb649dp2013-024 is not listed on IDEAS
    19. Baltasar Manzano & Luis Rey, 2012. "The Welfare Cost of Energy Insecurity," Working Papers fa07-2012, Economics for Energy.
    20. Maximiliano Dvorkin, 2017. "Skills, Occupations, and the Allocation of Talent over the Business Cycle," 2017 Meeting Papers 1527, Society for Economic Dynamics.
    21. Echevarría, Cruz A., 2012. "Income tax progressivity, physical capital, aggregate uncertainty and long-run growth in an OLG economy," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 955-974.
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    More about this item

    Keywords

    Perturbation; Dsge models; Recursive preferences;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

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