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On the accuracy of low-order projection methods

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Author Info
Paul Pichler () (University of Vienna)

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Abstract

We use low-order projection methods to compute numerical solutions of the basic neoclassical stochastic growth model. We assess the quality of the obtained solutions, and compare them to numerical approximations derived with first and second-order perturbation techniques. We show that projection methods perform surprisingly poor when the degree of approximation is very low, and we provide some intuition behind this finding.

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File URL: http://economicsbulletin.vanderbilt.edu/2007/volume3/EB-07C60003A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2007)
Issue (Month): 50 ()
Pages: 1-8
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:3:y:2007:i:50:p:1-8

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Related research
Keywords: numerical accuracy; perturbation; projection methods;

Find related papers by JEL classification:
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
E0 - Macroeconomics and Monetary Economics - - General

References listed on IDEAS
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  1. Taylor, John B & Uhlig, Harald, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 1-17, January.
    Other versions:
  2. Larry E. Jones & Rodolfo E. Manuelli & Henry E. Siu, 2005. "Fluctuations in Convex Models of Endogenous Growth II: Business Cycle Properties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 805-828, October. [Downloadable!] (restricted)
  3. Alfred Maussner, 2005. "Projection Methods (GAUSS)," QM&RBC Codes 135, Quantitative Macroeconomics & Real Business Cycles. [Downloadable!]
  4. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July. [Downloadable!] (restricted)
    Other versions:
  5. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December. [Downloadable!] (restricted)
    Other versions:
  6. Siu, Henry E., 2004. "Optimal fiscal and monetary policy with sticky prices," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 575-607, April. [Downloadable!] (restricted)
  7. repec:bep:sndecm:9:2005:2:1263-1263 is not listed on IDEAS
  8. Radim Bohacek & Michal Kejak, 2005. "Projection Methods for Economies with Heterogeneous Agents," CERGE-EI Working Papers wp258, The Center for Economic Research and Graduate Education - Economic Institute, Prague. [Downloadable!]
  9. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
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  11. Michael J. Dueker & Andreas M. Fischer & Robert D. Dittmar, 2004. "Stochastic capital depreciation and the comovement of hours and productivity," Working Papers 2002-003, Federal Reserve Bank of St. Louis. [Downloadable!]
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  12. 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. [Downloadable!] (restricted)
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  13. Salvador Ortigueira, 2006. "Markov-Perfect Optimal Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 153-178, January. [Downloadable!] (restricted)
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This page was last updated on 2009-11-16.

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