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A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models

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  • Gary S. Anderson

Abstract

This paper describes a set of algorithms for quickly and reliably solving linear rational expectations models. The utility, reliability and speed of these algorithms are a consequence of 1) the algorithm for computing the minimal dimension state space transition matrix for models with arbitrary numbers of lags or leads, 2) the availability of a simple modeling language for characterizing a linear model and 3) the use of the QR Decomposition and Arnoldi type eigenspace calculations. The paper also presents new formulae for computing and manipulating solutions for arbitrary exogenous processes.

Suggested Citation

  • Gary S. Anderson, 2010. "A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models," Finance and Economics Discussion Series 2010-13, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2010-13
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    References listed on IDEAS

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    1. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-113, May.
    2. Fuhrer, Jeffrey C, 1997. "The (Un)Importance of Forward-Looking Behavior in Price Specifications," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 338-350, August.
    3. Jeff Fuhrer & George Moore, 1995. "Inflation Persistence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 127-159.
    4. Coenen Günter & Orphanides Athanasios & Wieland Volker, 2004. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-25, February.
    5. Gary Anderson, 2008. "Solving Linear Rational Expectations Models: A Horse Race," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 95-113, March.
    6. Fuhrer, Jeffrey C & Moore, George R, 1995. "Monetary Policy Trade-offs and the Correlation between Nominal Interest Rates and Real Output," American Economic Review, American Economic Association, vol. 85(1), pages 219-239, March.
    7. Jeffrey C. Fuhrer & Brian F. Madigan, 1997. "Monetary Policy When Interest Rates Are Bounded At Zero," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 573-585, November.
    8. Jeffrey C. Fuhrer, 1994. "Optimal monetary policy and the sacrifice ratio," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, vol. 38, pages 43-84.
    9. Fuhrer, Jeffrey C., 2010. "Inflation Persistence," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 9, pages 423-486, Elsevier.
    10. Aksoy, Yunus & Orphanides, Athanasios & Small, David & Wieland, Volker & Wilcox, David, 2006. "A quantitative exploration of the opportunistic approach to disinflation," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1877-1893, November.
    11. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
    12. Fuhrer, Jeffrey C., 1997. "Towards a compact, empirically-verified rational expectations model for monetary policy analysis," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 47(1), pages 197-230, December.
    13. Rochelle M. Edge & Thomas Laubach & John C. Williams, 2003. "The responses of wages and prices to technology shocks," Working Paper Series 2003-21, Federal Reserve Bank of San Francisco.
    14. Athanasios Orphanides & John C. Williams, 2002. "Robust Monetary Policy Rules with Unknown Natural Rates," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 33(2), pages 63-146.
    15. Fuhrer, Jeffrey C, 1997. "Inflation/Output Variance Trade-Offs and Optimal Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 214-234, May.
    16. Fuhrer, Jeffrey C. & Hooker, Mark A., 1993. "Learning about monetary regime shifts in an overlapping wage contract model," Journal of Economic Dynamics and Control, Elsevier, vol. 17(4), pages 531-553, July.
    17. Paolo ZAGAGLIA, 2002. "Matlab Implementation of the AIM Algorithm: A Beginner's Guide," Working Papers 169, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    18. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    19. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    20. Antulio N. Bomfim, "undated". "\"Forecasting the Forecasts of Others:\" Expectational Heterogeneity and Aggregate Dynamics," Finance and Economics Discussion Series 1996-41, Board of Governors of the Federal Reserve System (U.S.), revised 10 Dec 2019.
    21. Jeffrey C. Fuhrer, 1996. "Monetary Policy Shifts and Long-Term Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1183-1209.
    22. Fuhrer, Jeffrey C & Moore, George R, 1995. "Forward-Looking Behavior and the Stability of a Conventional Monetary Policy Rule," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1060-1070, November.
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    Keywords

    Rational expectations (Economic theory);

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