Computation of Business Cycle Models: A Comparison of Numerical Methods
AbstractWe 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 InfoPaper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1207.
Date of creation: 2004
Date of revision:
log-linearization; projection methods; extended path; value function iteration; parameterized expectations; genetic search;
Other versions of this item:
- Heer, Burkhard & Maußner, Alfred, 2008. "Computation Of Business Cycle Models: A Comparison Of Numerical Methods," Macroeconomic Dynamics, Cambridge University Press, vol. 12(05), pages 641-663, November.
- 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
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-07-04 (All new papers)
- NEP-CMP-2004-07-04 (Computational Economics)
- NEP-DGE-2004-07-04 (Dynamic General Equilibrium)
- NEP-MAC-2004-07-04 (Macroeconomics)
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.:
- Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997.
"Algorithms for solving dynamic models with occasionally binding constraints,"
Working Paper Series, Macroeconomic Issues
WP-97-15, Federal Reserve Bank of Chicago.
- 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.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for Solving Dynamic Models with Occasionally Binding Constraints," NBER Technical Working Papers 0218, National Bureau of Economic Research, Inc.
- Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper 9711, Federal Reserve Bank of Cleveland.
- Lawrence J. Christiano & Jonas D. M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Staff Report 171, Federal Reserve Bank of Minneapolis.
- 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.
- 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.
- 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.
- Joseph Altonji, 1984. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Working Papers 562, Princeton University, Department of Economics, Industrial Relations Section..
- Gary Hansen, 2010.
"Indivisible Labor and the Business Cycle,"
Levine's Working Paper Archive
233, David K. Levine.
- 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.
- Duffy, John & McNelis, Paul D., 2001. "Approximating and simulating the stochastic growth model: Parameterized expectations, neural networks, and the genetic algorithm," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1273-1303, September.
- 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.
- John B. Taylor & Harald Uhlig, 1990. "Solving Nonlinear Stochastic Growth Models: A Comparison of Alternative Solution Methods," NBER Working Papers 3117, National Bureau of Economic Research, Inc.
- 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.
- David Domeij & Martin Floden, 2006. "The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 242-262, April.
- David Domeij & Martin Floden, 2001. "Matlab code for The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," QM&RBC Codes 55, Quantitative Macroeconomics & Real Business Cycles.
- 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.
- 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.
- 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.
- Burkhard Heer & Alfred Maußner, 2013. "Asset Returns, the Business Cycle and the Labor Market," German Economic Review, Verein für Socialpolitik, vol. 14(3), pages 372-397, 08.
- Hull, Isaiah, 2013. "Approximate dynamic programming with postdecision states as a solution method for dynamic economic models," Working Paper Series 276, Sveriges Riksbank (Central Bank of Sweden).
- 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.
- Burkhard Heer & Alfred Maussner, 2008.
"Value Function Iteration as a Solution Method for the Ramsey Model,"
CESifo Working Paper Series
2278, CESifo Group Munich.
- 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.
- David R.F. Love, 2010. "Revisiting deterministic extended-path: a simple and accurate solution method for macroeconomic models," International Journal of Computational Economics and Econometrics, Inderscience Enterprises Ltd, vol. 1(3/4), pages 309-316.
- Paul Pichler, 2005. "Evaluating Approximate Equilibria of Dynamic Economic Models," Vienna Economics Papers 0510, University of Vienna, Department of Economics.
- 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.
- Burkhard Heer & Alfred Maussner, 2009. "Computation of Business-Cycle Models with the Generalized Schur Method," CESifo Working Paper Series 2873, CESifo Group Munich.
- 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.
- 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.
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