IDEAS home Printed from https://ideas.repec.org/p/mlb/wpaper/921.html
   My bibliography  Save this paper

Reverse-Shooting versus Forward-Shooting over a Range of Dimensionalities

Author

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

Abstract

This paper investigates the properties of dynamic solutions that have been derived using the well-known reverse-shooting and forwardshooting algorithms. Given an arbitrary large-scale model about which we have limited information, how successful are the algorithms likely to be in solving this model? We address this question using a range of investment models, both linear and non-linear. By extending the investment models to allow for multi-dimensional specifications of the capital stock, we are able to examine the computational efficiency of the competing algorithms as the dimensionality of the capital stock is allowed to increase. Our approach provides insights into how the complexity of the solutions to a broad range of macroeconomic models increases with the dimensionality of the models.

Suggested Citation

  • Ric D. Herbert & Peter J. Stemp, 2004. "Reverse-Shooting versus Forward-Shooting over a Range of Dimensionalities," Department of Economics - Working Papers Series 921, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:921
    as

    Download full text from publisher

    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-04/921.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    2. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    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. Marcelo Bianconi & Walter H. Fisher, 2014. "Intertemporal Budget Policies and Macroeconomic Adjustment in Indebted Open Economies," Review of International Economics, Wiley Blackwell, vol. 22(1), pages 116-130, February.
    2. Francisco A. Gallego & Klaus Schmidt-Hebbel & Luis Servén, 2004. "General Equilibrium Dynamics of External Shocks and Policy Changes in Chile," Working Papers Central Bank of Chile 271, Central Bank of Chile.
    3. Luigi Bocola & Nils M. Gornemann, 2013. "Risk, economic growth and the value of U.S. corporations," Working Papers 13-10, Federal Reserve Bank of Philadelphia.
    4. Stephen Bond & Måns Söderbom, 2005. "Adjustment Costs and the Identification of Cobb Douglas Production Functions," Economics Papers 2005-W04, Economics Group, Nuffield College, University of Oxford.
    5. Bloom, Nick, 2006. "The impact of uncertainty shocks: firm level estimation and a 9/11 simulation," LSE Research Online Documents on Economics 19867, London School of Economics and Political Science, LSE Library.
    6. Nicholas Bloom, 2009. "The Impact of Uncertainty Shocks," Econometrica, Econometric Society, vol. 77(3), pages 623-685, May.
    7. Born, Benjamin & Pfeifer, Johannes, 2014. "Policy risk and the business cycle," Journal of Monetary Economics, Elsevier, vol. 68(C), pages 68-85.
    8. Peter Stemp & Ric Herbert, 2006. "Solving Non-Linear Models with Saddle-Path Instabilities," Computational Economics, Springer;Society for Computational Economics, vol. 28(2), pages 211-231, September.
    9. Richard Pierse, 2006. "Optimal control in nonlinear models: a generalised Gauss-Newton algorithm with analytic derivatives," School of Economics Discussion Papers 0906, School of Economics, University of Surrey.
    10. Sylvain Catherine & Thomas Chaney & Zongbo Huang & David Sraer & David Thesmar, 2022. "Quantifying Reduced‐Form Evidence on Collateral Constraints," Journal of Finance, American Finance Association, vol. 77(4), pages 2143-2181, August.
    11. Andrew Patton, 2002. "(IAM Series No 001) On the Out-Of-Sample Importance of Skewness and Asymetric Dependence for Asset Allocation," FMG Discussion Papers dp431, Financial Markets Group.
    12. Francisco Gallego & Andrés Hernando, 2009. "School Choice in Chile: Looking at the Demand Side," Documentos de Trabajo 356, Instituto de Economia. Pontificia Universidad Católica de Chile..
    13. Claude Hillinger, 2002. "A General Theory of Price and Quantity Aggregation and Welfare Measurement," CESifo Working Paper Series 818, CESifo.
    14. Salerno, Gillian & Beard, Rodney & McDonald, Stuart, 2007. "Rent Seeking Behavior and Optimal Taxation of Pollution in Shallow Lakes," MPRA Paper 11225, University Library of Munich, Germany, revised 22 Oct 2008.
    15. Maria Casanova-Rivas, 2008. "Dynamic Complementarities: A Computational and Empirical Analysis of Couples' Retirement Decisions," 2008 Meeting Papers 1073, Society for Economic Dynamics.
    16. Heer, Burkhard & Polito, Vito & Wickens, Michael R., 2020. "Population aging, social security and fiscal limits," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    17. Andreas Lanz & Gregor Reich & Ole Wilms, 2022. "Adaptive grids for the estimation of dynamic models," Quantitative Marketing and Economics (QME), Springer, vol. 20(2), pages 179-238, June.
    18. Karantounias, Anastasios G., 2023. "Doubts about the model and optimal policy," Journal of Economic Theory, Elsevier, vol. 210(C).
    19. Fehr, Hans & Ruocco, Anna, 1999. "Equity and efficiency aspects of the Italian debt reduction," Economic Modelling, Elsevier, vol. 16(4), pages 569-589, December.
    20. Pelin Ilbas, 2006. "Optimal Monetary Policy rules for the Euro area in a DSGE framework," Working Papers of Department of Economics, Leuven ces0613, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.

    More about this item

    Keywords

    Macroeconomics; Reverse-shooting; Forward-shooting; Saddlepath instability; Computational techniques; Investment models.;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E27 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Forecasting and Simulation: Models and Applications

    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:mlb:wpaper:921. 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: Dandapani Lokanathan (email available below). General contact details of provider: https://edirc.repec.org/data/demelau.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.