IDEAS home Printed from https://ideas.repec.org/p/cty/dpaper/08-07.html
   My bibliography  Save this paper

Analyzing Economic Policy Using High Order Perturbations

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: https://openaccess.city.ac.uk/id/eprint/1497/1/0807_ben-gad.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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, December.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Levine, Paul & Pearlman, Joseph & Pierse, Richard, 2008. "Linear-quadratic approximation, external habit and targeting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3315-3349, October.
    2. Matthias Paustian, 2004. "Welfare Effects of Monetary Policy Rules in a Model with Nominal Rigidities and Credit Market Frictions," Econometric Society 2004 Far Eastern Meetings 597, Econometric Society.
    3. Christopher A. Sims & Jinill Kim & Sunghyun Kim, 2003. "Calculating and Using Second Order Accurate Solution of Discrete Time Dynamic Equilibrium Models," Computing in Economics and Finance 2003 162, Society for Computational Economics.
    4. Chassamboulli, Andri & Palivos, Theodore, 2013. "The impact of immigration on the employment and wages of native workers," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 19-34.
    5. Benigno, Pierpaolo & Woodford, Michael, 2012. "Linear-quadratic approximation of optimal policy problems," Journal of Economic Theory, Elsevier, vol. 147(1), pages 1-42.
    6. Stephanie Becker & Lars Grüne & Willi Semmler, 2007. "Comparing accuracy of second-order approximation and dynamic programming," Computational Economics, Springer;Society for Computational Economics, vol. 30(1), pages 65-91, August.
    7. Gapen Michael T. & Cosimano Thomas F., 2005. "Solving Ramsey Problems with Nonlinear Projection Methods," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(2), pages 1-38, June.
    8. Francisco (F.) Blasques & Marc Nientker, 2019. "Transformed Perturbation Solutions for Dynamic Stochastic General Equilibrium Models," Tinbergen Institute Discussion Papers 19-012/III, Tinbergen Institute, revised 09 Feb 2020.
    9. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312, National Bureau of Economic Research, Inc.
    10. Carmelo Pierpaolo Parello, 2022. "Migration and growth in a Schumpeterian growth model with creative destruction [A model of growth through creative destruction]," Oxford Economic Papers, Oxford University Press, vol. 74(4), pages 1139-1166.
    11. Dorofeenko, Victor & Lee, Gabriel S. & Salyer, Kevin D., 2010. "A new algorithm for solving dynamic stochastic macroeconomic models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 388-403, March.
    12. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    13. Busch, Christopher & Krueger, Dirk & Ludwig, Alexander & Popova, Irina & Iftikhar, Zainab, 2020. "Should Germany have built a new wall? Macroeconomic lessons from the 2015-18 refugee wave," Journal of Monetary Economics, Elsevier, vol. 113(C), pages 28-55.
    14. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 113-172.
    15. Kollmann, Robert & Kim, Jinill & Kim, Sunghyun H., 2011. "Solving the multi-country Real Business Cycle model using a perturbation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 203-206, February.
    16. Heijdra, Ben J. & Ligthart, Jenny E., 2007. "Fiscal policy, monopolistic competition, and finite lives," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 325-359, January.
    17. Ambler, Steve & Pelgrin, Florian, 2010. "Time-consistent control in nonlinear models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2215-2228, October.
    18. Andri Chassamboulli & Theodore Palivos, 2014. "A Search‐Equilibrium Approach To The Effects Of Immigration On Labor Market Outcomes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 111-129, February.
    19. Viktor Winschel & Markus Kr‰tzig, 2010. "Solving, Estimating, and Selecting Nonlinear Dynamic Models Without the Curse of Dimensionality," Econometrica, Econometric Society, vol. 78(2), pages 803-821, March.
    20. Zainab Iftikhar & Anna Zaharieva, 2019. "General equilibrium effects of immigration in Germany: Search and matching approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 31, pages 245-276, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cty:dpaper:08/07. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Research Publications Librarian (email available below). General contact details of provider: https://edirc.repec.org/data/decituk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.