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Exploiting Model Structure to Solve the Dynamics of a Macro Model

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  • Ric D. Herbert
  • Peter Stemp
  • Peter J. Stemp

Abstract

This paper considers alternative approaches to solving the time-path of a representative agent model following an exogenous shock. The model has a number of important dynamic properties that are both common to a wide range of economic models and have important computational implications for solving the model. The paper compares the alternative approaches on a computational basis and shows that the best approach to solving the model is obtained by fully exploiting the model structure in a modified reverse shooting algorithm.

Suggested Citation

  • Ric D. Herbert & Peter Stemp & Peter J. Stemp, 2000. "Exploiting Model Structure to Solve the Dynamics of a Macro Model," CESifo Working Paper Series 266, CESifo.
    • Handle: RePEc:ces:ceswps:_266
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    File URL: https://www.cesifo.org/DocDL/cesifo_wp266.pdf
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    References listed on IDEAS

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    1. Douglas Cleveland, 1985. "Analysis," Challenge, Taylor & Francis Journals, vol. 28(4), pages 50-53, September.
    2. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    5. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    6. Matsuyama, Kiminori, 1987. "Current account dynamics in a finite horizon model," Journal of International Economics, Elsevier, vol. 23(3-4), pages 299-313, November.
    7. Boucekkine, Raouf, 1995. "An alternative methodology for solving nonlinear forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 711-734, May.
    8. Zadrozny, Peter A., 1998. "An eigenvalue method of undetermined coefficients for solving linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1353-1373, August.
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    Cited by:

    1. Stemp, Peter J. & Herbert, Ric D., 2003. "Calculating short-run adjustments: Sensitivity to non-linearities in a representative agent framework," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 357-379, January.

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