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Computation of Business Cycle Models: A Comparison of Numerical Methods

  • Burkhard Heer
  • Alfred Maussner

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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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 1207.

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Date of creation: 2004
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Handle: RePEc:ces:ceswps:_1207
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  1. 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.
  2. Domeij, David & Floden, Martin, 2001. "The labor-supply elasticity and borrowing constraints: Why estimates are biased," SSE/EFI Working Paper Series in Economics and Finance 480, Stockholm School of Economics.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. Joseph Altonji, 1984. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Working Papers 562, Princeton University, Department of Economics, Industrial Relations Section..
  8. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  9. 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.
  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, 1984. "The Welfare Effects of the Introduction of Storage," The Quarterly Journal of Economics, MIT Press, vol. 99(1), pages 169-92, February.
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