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

  • Gary S. Anderson

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.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2010-13.

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Date of creation: 2010
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Handle: RePEc:fip:fedgfe:2010-13
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  1. Jeff Fuhrer & George Moore, 1993. "Inflation persistence," Finance and Economics Discussion Series 93-17, Board of Governors of the Federal Reserve System (U.S.).
  2. Jeff Fuhrer & Brian Madigan, 1994. "Monetary policy when interest rates are bounded at zero," Working Papers in Applied Economic Theory 94-06, Federal Reserve Bank of San Francisco.
  3. 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.
  4. 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 338-50, August.
  5. Athanasios Orphanides & John C. Williams, 2003. "Robust monetary policy rules with unknown natural rates," Finance and Economics Discussion Series 2003-11, Board of Governors of the Federal Reserve System (U.S.).
  6. Gary S. Anderson, 2006. "Solving linear rational expectations models: a horse race," Finance and Economics Discussion Series 2006-26, Board of Governors of the Federal Reserve System (U.S.).
  7. 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.
  8. Athanasios Orphanides & David H. Small & Volker Wieland & David W. Wilcox, 1997. "A quantitative exploration of the opportunistic approach to disinflation," Finance and Economics Discussion Series 1997-36, Board of Governors of the Federal Reserve System (U.S.).
  9. 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 214-34, May.
  10. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  11. 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 219-39, March.
  12. Fuhrer, Jeffrey C, 1996. "Monetary Policy Shifts and Long-Term Interest Rates," The Quarterly Journal of Economics, MIT Press, vol. 111(4), pages 1183-1209, November.
  13. Jeffrey C. Fuhrer & Mark A. Hooker, 1988. "Learning about monetary regime shifts in an overlapping wage contract model," Finance and Economics Discussion Series 25, Board of Governors of the Federal Reserve System (U.S.).
  14. Jeffrey C. Fuhrer, 1994. "Optimal monetary policy and the sacrifice ratio," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, vol. 38, pages 43-84.
  15. Antulio N. Bomfim, 1996. ""Forecasting the forecasts of others." Expectational heterogeneity and aggregate dynamics," Finance and Economics Discussion Series 96-41, Board of Governors of the Federal Reserve System (U.S.).
  16. Taylor, John B, 1979. "Staggered Wage Setting in a Macro Model," American Economic Review, American Economic Association, vol. 69(2), pages 108-13, May.
  17. 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.
  18. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  19. Athanasios Orphanides, 1998. "Monetary policy evaluation with noisy information," Finance and Economics Discussion Series 1998-50, Board of Governors of the Federal Reserve System (U.S.).
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