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Analyzing Economic Policy Using High Order Perturbations

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  • Ben-Gad, M.

Abstract

In this chapter I demonstrate the use of high order general perturbations to analyze policy changes in dynamic economic models. The inclusion of high moments in approximating the behavior of dynamic models is particularly necessary for welfare analysis. I apply the method of general perturbations to the analysis of permanent changes to a flat rate tax on the return to capital in the context of the standard Ramsey optimal growth model. Reliance on simple linearizations or quadratic approximations are adequate for generating impulse responses for the variables of interest or the welfare analysis of small policy changes. However when considering the welfare implications of sizable policy changes, the failure to include higher moments can lead not only to quantitatively serious inaccuracies, but even to spurious welfare reversals.

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  • Ben-Gad, M., 2008. "Analyzing Economic Policy Using High Order Perturbations," Working Papers 08/07, Department of Economics, City University London.
  • Handle: RePEc:cty:dpaper:08/07
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    1. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
    2. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, January.
    3. Michael Ben-Gad, 2008. "Capital-Skill Complementarity and the Immigration Surplus," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 335-365, April.
    4. Ben-Gad, Michael, 2004. "The economic effects of immigration--a dynamic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 28(9), pages 1825-1845, July.
    5. Judd, Kenneth L., 1982. "An alternative to steady-state comparisons in perfect foresight models," Economics Letters, Elsevier, vol. 10(1-2), pages 55-59.
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