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Computation Of Business Cycle Models: A Comparison Of Numerical Methods

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  • Heer, Burkhard
  • Maußner, Alfred

Abstract

We compare the numerical methods that are most widely applied in the computation of the standard business cycle model with flexible labor. The numerical techniques imply economically insignificant differences with regard to business cycle summary statistics except for the volatility of investment. Furthermore, these results are robust with regard to the choice of the functional form of the utility function and the model’s parameterization. In conclusion, the simplest and fastest method, the log-linearization of the model around the steady state, is found to be most convenient and appropriate for the standard business cycle model.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 12 (2008)
Issue (Month): 05 (November)
Pages: 641-663

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Handle: RePEc:cup:macdyn:v:12:y:2008:i:05:p:641-663_07

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  1. Domeij, David & Floden, Martin, 2001. "The labor-supply elasticity and borrowing constraints: Why estimates are biased," Working Paper Series in Economics and Finance 480, Stockholm School of Economics.
  2. 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.
  3. Altonji, Joseph G, 1986. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages S176-S215, June.
  4. Paul McNelis & John Duffy, 1998. "Approximating and Simulating the Stochastic Growth Model: Parameterized Expectations, Neural Networks, and the Genetic Algorithm," GE, Growth, Math methods 9804004, EconWPA, revised 04 May 1998.
  5. 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.
  6. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  7. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-17, June.
  8. Wright, Brian D & Williams, Jeffrey C, 1984. "The Welfare Effects of the Introduction of Storage," The Quarterly Journal of Economics, MIT Press, vol. 99(1), pages 169-92, February.
  9. Heer, Burkhard & Trede, Mark, 2003. "Efficiency and distribution effects of a revenue-neutral income tax reform," Journal of Macroeconomics, Elsevier, vol. 25(1), pages 87-107, March.
  10. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  11. Wright, Brian D & Williams, Jeffrey C, 1982. "The Economic Role of Commodity Storage," Economic Journal, Royal Economic Society, vol. 92(367), pages 596-614, September.
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Cited by:
  1. Christophe Gouel, 2013. "Comparing Numerical Methods for Solving the Competitive Storage Model," Computational Economics, Society for Computational Economics, vol. 41(2), pages 267-295, February.
  2. Christopher Heiberger & Torben Klarl & Alfred Maussner, 2012. "A Note on the Uniqueness of Solutions to Rational Expectations Models," Discussion Paper Series 319, Universitaet Augsburg, Institute for Economics.
  3. Burkhard Heer & Alfred Maußner, 2011. "Value Function Iteration as a Solution Method for the Ramsey Model," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), Justus-Liebig University Giessen, Department of Statistics and Economics, vol. 231(4), pages 494-515, August.
  4. David R.F. Love, 2009. "Accuracy of Deterministic Extended-Path Solution Methods for Dynamic Stochastic Optimization Problems in Macroeconomics," Working Papers 0907, Brock University, Department of Economics.
  5. Burkhard Heer & Alfred Maussner, 2011. "Asset Returns, the Business Cycle, and the Labor Market: A Sensitivity Analysis for the German Economy," CESifo Working Paper Series 3391, CESifo Group Munich.
  6. Burkhard Heer & Alfred Maußner, 2009. "Education Briefing: Computation of business-cycle models with the Generalized Schur method," Indian Growth and Development Review, Emerald Group Publishing, vol. 2(2), pages 173-182, September.
  7. Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.

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