IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper

On the Applicability of Global Approximation Methods for Models with Jump Discontinuities in Policy Functions

  • Christoph Görtz
  • Afrasiab Mirza

We show that the standard Value Function Iteration (VFI) algorithm has difficulties approximating models with jump discontinuities in policy functions. We find that VFI fails to accurately identify the location and size of jump discontinuities while other methods - such as the Endogenous Grid Method (EGM) and a Finite Element Method (FEM) - are much better at approximating this class of models. We illustrate differences across methods using a standard plant-level investment model with both variable and fixed capital adjustment costs. We find that the policy functions generated by VFI are quite different from those generated by EGM and FEM. Importantly, these differences are economically significant: for our baseline parameterization VFI generates investment spikes that are 5-8% larger in comparison to the other two methods. The choice between EGM and FEM depends on the context. While EGM is faster than FEM, it is much more difficult to implement. For larger models, the modifications necessary to apply EGM can lead to high code complexity. On the other hand, FEM can accommodate larger models with minimal implementation differences and its high scalability can reduce computation time significantly.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2014/wp-cesifo-2014-06/cesifo1_wp4837.pdf
Download Restriction: no

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4837.

as
in new window

Length:
Date of creation: 2014
Date of revision:
Handle: RePEc:ces:ceswps:_4837
Contact details of provider: Postal:
Poschingerstrasse 5, 81679 Munich

Phone: +49 (89) 9224-0
Fax: +49 (89) 985369
Web page: http://www.cesifo-group.de
Email:


More information through EDIRC

References listed on IDEAS
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.:

as in new window
  1. Øivind Anti Nilsen & Fabio Schiantarelli, 2003. "Zeros and Lumps in Investment: Empirical Evidence on Irreversibilities and Nonconvexities," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1021-1037, November.
  2. Nicholas Bloom, 2007. "The Impact of Uncertainty Shocks," NBER Working Papers 13385, National Bureau of Economic Research, Inc.
  3. Aubhik Khan & Julia K. Thomas, 2004. "Idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics," Staff Report 352, Federal Reserve Bank of Minneapolis.
  4. Andrew Clausen & Carlo Strub, 2016. "A General and Intuitive Envelope Theorem," ESE Discussion Papers 274, Edinburgh School of Economics, University of Edinburgh.
  5. Francisco Barillas & Jesús Fernández-Villaverde, 2006. "A Generalization of the Endogenous Grid Method," Levine's Bibliography 122247000000001200, UCLA Department of Economics.
  6. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," NBER Working Papers 5260, National Bureau of Economic Research, Inc.
  7. S. B. Aruoba & Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2005. "Comparing Solution Methods for Dynamic Equilibrium Economies," Levine's Bibliography 122247000000000855, UCLA Department of Economics.
  8. Whited, Toni M., 2006. "External finance constraints and the intertemporal pattern of intermittent investment," Journal of Financial Economics, Elsevier, vol. 81(3), pages 467-502, September.
  9. Patrick Bajari & Phoebe Chan & Dirk Krueger & Daniel Miller, 2013. "A Dynamic Model Of Housing Demand: Estimation And Policy Implications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 409-442, 05.
  10. Khan, A. & Ravikumar, B., 1997. "Costly Technology Adoption and Capital Accumulation," Working Papers 97-12, University of Iowa, Department of Economics.
  11. McGrattan, Ellen R., 1996. "Solving the stochastic growth model with a finite element method," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 19-42.
  12. Laura Power, 1998. "The Missing Link: Technology, Investment, And Productivity," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 300-313, May.
  13. Mark E. Doms & Timothy Dunne, 1998. "Capital Adjustment Patterns in Manufacturing Plants," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 409-429, April.
  14. Christopher Carroll, 2005. "The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems," Economics Working Paper Archive 520, The Johns Hopkins University,Department of Economics.
  15. Manuel S. Santos, 2000. "Accuracy of Numerical Solutions using the Euler Equation Residuals," Econometrica, Econometric Society, vol. 68(6), pages 1377-1402, November.
  16. Maria J. Luengo-Prado, 2004. "Durables, Nondurables, Down Payments and Consumption Excesses," Macroeconomics 0408006, EconWPA.
  17. Bayer, Christian, 2006. "Investment dynamics with fixed capital adjustment cost and capital market imperfections," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1909-1947, November.
  18. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  19. Hintermaier, Thomas & Koeniger, Winfried, 2010. "The method of endogenous gridpoints with occasionally binding constraints among endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2074-2088, October.
  20. Giulio Fella, 2014. "A generalized endogenous grid method for non-smooth and non-concave problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 329-344, April.
  21. Russell W. Cooper & John C. Haltiwanger, 2000. "On the Nature of Capital Adjustment Costs," NBER Working Papers 7925, National Bureau of Economic Research, Inc.
  22. Christopher A. Hennessy & Toni M. Whited, 2005. "Debt Dynamics," Journal of Finance, American Finance Association, vol. 60(3), pages 1129-1165, 06.
  23. Joao F. Gomes, 2001. "Financing Investment," American Economic Review, American Economic Association, vol. 91(5), pages 1263-1285, December.
  24. Adrian Peralta-Alva & Manuel S. Santos, 2012. "Analysis of numerical errors," Working Papers 2012-062, Federal Reserve Bank of St. Louis.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_4837. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Klaus Wohlrabe)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.