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A Toolbox for the Numerical Study of Linear Dynamic Rational Expectations Models

Author

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  • P. Marcelo Oviedo

    (Iowa State University)

Abstract

By simplifying the computational tasks and by providing step-by-step explanations of the procedures required to study a linear dynamic rational expectations (LDRE) model, this paper and the accompanying ``LDRE Toolbox' of Matalb functions guide a researcher with almost no experience in computational work to resolve and study his own model. After coding the model following specific guidelines, a single function call is all that is needed to log-linearize the model; simulate it under exogenous sequences of shocks; compute sample and population moment conditions; and obtain impulse-response functions. Three classical models in the Real-Business-Cycles literature are solved and studied throughout to give detailed examples of the steps involved in solving and studying LDRE models using the LDRE Toolbox. Namely, the economies in Brock and Mirman (Optimal Growth and Uncertainty: the Discounted Case, Journal of Economic Theory, 4(3): 479-513; 1972); King, Plosser, and Rebelo (Production, Growth and Business Cycles I: The Basic Neoclassical Model, Journal of Monetary Economics 21: 195-232; 1988); and Mendoza (Real Business Cycles in a Small Open Economy, American Economic Review 81(4): 797-818; 1991).

Suggested Citation

  • P. Marcelo Oviedo, 2005. "A Toolbox for the Numerical Study of Linear Dynamic Rational Expectations Models," GE, Growth, Math methods 0501004, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpge:0501004
    Note: Type of Document - pdf; pages: 38
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/ge/papers/0501/0501004.pdf
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    References listed on IDEAS

    as
    1. Schmitt-Grohe, Stephanie & Uribe, Martin, 2003. "Closing small open economy models," Journal of International Economics, Elsevier, vol. 61(1), pages 163-185, October.
    2. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    3. Robert J. Barro & Paul Romer, 1993. "Economic Growth (1992)," NBER Books, National Bureau of Economic Research, Inc, number barr93-1.
    4. Danthine, Jean-Pierre & Donaldson, John B. & Mehra, Rajnish, 1989. "On some computational aspects of equilibrium business cycle theory," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 449-470, July.
    5. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    6. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    7. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
    8. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    9. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
    10. Mendoza, Enrique G, 1991. "Real Business Cycles in a Small Open Economy," American Economic Review, American Economic Association, vol. 81(4), pages 797-818, September.
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    Cited by:

    1. Echeverria Garaigorta, Paulina Elisa & Iza Padilla, María Amaya, 2011. "Business cycles in a small open economy: The case of Hong Kong," DFAEII Working Papers 1988-088X, University of the Basque Country - Department of Foundations of Economic Analysis II.
    2. Oviedo, P. Marcelo, 2005. "World Interest Rate, Business Cycles, and Financial Intermediation in Small Open Economies," Staff General Research Papers Archive 12360, Iowa State University, Department of Economics.
    3. Amin, Sakib & Marsiliani, Laura & Renström, Thomas, 2018. "The Impacts of Fossil Fuel Subsidy Removal on Bangladesh Economy," Bangladesh Development Studies, Bangladesh Institute of Development Studies (BIDS), vol. 41(02), pages 65-81, June.

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    More about this item

    Keywords

    RBC models; Solution method; Toolbox of Matlab functions; Log- linear approximation techniques;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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