IDEAS home Printed from https://ideas.repec.org/p/cpb/discus/54.html
   My bibliography  Save this paper

Solving large scale normalised rational expectations models

Author

Listed:
  • Olaf van 't Veer

Abstract

This paper discusses a new approach to solving models containing rational expectations. Instead of solving the model for each period consecutively as in the Fair-Taylor method, the method in this paper uses the idea of the Stacked-Time method to solve the model for all periods simultaneously. The novelty of the method presented here is, that it is applied to a small subset of model variables only, the so called feedback variables, that an approximate Jacobian is used and that a subperiod method is introduced. This leads to significantly smaller Jacobians and less calculations for solving a model. The feedback variables are determined by an ordering algorithm. The paper describes the modification to Newton's method by describing an Extended Feedback Jacobian, introducing an approximate 'Shift' Jacobian to reduce calculation time and a subperiod method to reduce storage space for the Jacobian matrix. The method has been implemented at the CPB and used for its GAMMA model. This paper also reports the results of some experiments with Multimod mark III. These experiments show faster convergence than the Fair-Taylor method and significantly smaller matrices than the Stacked-Time method.

Suggested Citation

  • Olaf van 't Veer, 2006. "Solving large scale normalised rational expectations models," CPB Discussion Paper 54, CPB Netherlands Bureau for Economic Policy Analysis.
    • Handle: RePEc:cpb:discus:54
    as

    Download full text from publisher

    File URL: https://www.cpb.nl/sites/default/files/publicaties/download/solving-large-scale-normalised-rational-expectations-models.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Mr. Hamid Faruqee & Mr. Douglas Laxton & Mr. Bart Turtelboom & Mr. Peter Isard & Mr. Eswar S Prasad, 1998. "Multimod Mark III: The Core Dynamic and Steady State Model," IMF Occasional Papers 1998/010, International Monetary Fund.
    3. Dixon, Peter B. & Pearson, K.R. & Picton, Mark R. & Rimmer, Maureen T., 2005. "Rational expectations for large CGE models: A practical algorithm and a policy application," Economic Modelling, Elsevier, vol. 22(6), pages 1001-1019, December.
    4. Berend Hasselman, 2004. "An efficient method for detecting redundant feedback vertices," CPB Discussion Paper 29, CPB Netherlands Bureau for Economic Policy Analysis.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nick Draper & Alex Armstrong, 2007. "GAMMA; a simulation model for ageing, pensions and public finances," CPB Document 147, CPB Netherlands Bureau for Economic Policy Analysis.

    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. N. B. Melnikov & A. P. Gruzdev & M. G. Dalton & M. Weitzel & B. C. O’Neill, 2021. "Parallel Extended Path Method for Solving Perfect Foresight Models," Computational Economics, Springer;Society for Computational Economics, vol. 58(2), pages 517-534, August.
    2. Pierre Richard Agénor & Devrim Yilmaz, 2006. "The Tyranny of Rules: Fiscal Discipline, Productive Spending, and Growth," Economics Discussion Paper Series 0616, Economics, The University of Manchester.
    3. Paul D. McNelis, 2014. "Finding Stability in a Time of Crisis: Lessons of East Asia for Eastern Europe," Working Papers 052014, Hong Kong Institute for Monetary Research.
    4. Karadi, Peter & Nakov, Anton, 2021. "Effectiveness and addictiveness of quantitative easing," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 1096-1117.
    5. Paul Gomme, 2020. "Labor Market and Fiscal Policy During and After the Coronavirus," Cahiers de recherche 12-2020, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    6. Hobijn, Bart & Nechio, Fernanda & Shapiro, Adam Hale, 2021. "Using Brexit to identify the nature of price rigidities," Journal of International Economics, Elsevier, vol. 130(C).
    7. Coenen, Gunter & Wieland, Volker, 2003. "The zero-interest-rate bound and the role of the exchange rate for monetary policy in Japan," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1071-1101, July.
    8. Burton, Diana M. & Love, H. Alan, 1996. "A Review of Alternative Expectations Regimes in Commodity Markets: Specification, Estimation, and Hypothesis Testing Using Structural Models," Agricultural and Resource Economics Review, Cambridge University Press, vol. 25(2), pages 213-231, October.
    9. S. Sirakaya & Stephen Turnovsky & M. Alemdar, 2006. "Feedback Approximation of the Stochastic Growth Model by Genetic Neural Networks," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 185-206, May.
    10. S. Bogan Aruoba & Pablo Cuba-Borda & Kenji Higa-Flores & Frank Schorfheide & Sergio Villalvazo, 2021. "Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 96-120, July.
    11. Vo Le & Kent Matthews & David Meenagh & Patrick Minford & Zhiguo Xiao, 2014. "Banking and the Macroeconomy in China: A Banking Crisis Deferred?," Open Economies Review, Springer, vol. 25(1), pages 123-161, February.
    12. Eric Jondeau & Gregory Levieuge & Jean-Guillaume Sahuc & Gauthier Vermandel, 2022. "Environmental Subsidies to Mitigate Transition Risk," Swiss Finance Institute Research Paper Series 22-45, Swiss Finance Institute.
    13. Mathilde Le Moigne & Francesco Saraceno & Sébastien Villemot, 2016. "Probably Too Little, Certainly Too Late. An Assessment of the Juncker Investment Plan," PSE Working Papers hal-03459360, HAL.
    14. Auray, Stéphane & Eyquem, Aurélien & Gomme, Paul, 2018. "Ramsey-optimal tax reforms and real exchange rate dynamics," Journal of International Economics, Elsevier, vol. 115(C), pages 159-169.
    15. Auray, Stéphane & Eyquem, Aurélien & Gomme, Paul, 2019. "Debt hangover in the aftermath of the Great Recession," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 107-133.
    16. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October.
    17. Lofgren, Hans & Diaz-Bonilla, Carolina & Kinnunen, Jouko & Merotto, Dino, 2008. "Patterns of Growth and Public Spending in Uganda: Alternative Scenarios for 2003-2020," Conference papers 331746, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    18. John B. Taylor, 2007. "Thirty‐Five Years of Model Building for Monetary Policy Evaluation: Breakthroughs, Dark Ages, and a Renaissance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(s1), pages 193-201, February.
    19. Lucas, Deborah, 1999. "Price and interest rate dynamics induced by multiperiod contracts," The North American Journal of Economics and Finance, Elsevier, vol. 10(2), pages 315-338.
    20. McNelis, Paul D., 2016. "Optimal policy rules at home, crisis and quantitative easing abroad," BOFIT Discussion Papers 15/2016, Bank of Finland, Institute for Economies in Transition.

    More about this item

    JEL classification:

    • J51 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Trade Unions: Objectives, Structure, and Effects

    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:cpb:discus:54. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/cpbgvnl.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.