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Linear rational-expectations models with lagged expectations: A synthetic method

  • Meyer-Gohde, Alexander

This paper contains a solution and an estimation method for linear rational-expectations models with lagged expectations. The solution method is a synthetic approach, combining state-space and infinite-MA representations with a simple system of linear equations. The advantage lies in the particular combination of methods from the literature, providing faster execution, more general applicability, and more straightforward usage than existing algorithms. Bayesian estimation methods are employed without the Kalman filter using a recursive algorithm to evaluate the likelihood function and are used to compare small-scale sticky-information and sticky-price DSGE models. Standard truncation methods are shown to not generally be innocuous.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 5 (May)
Pages: 984-1002

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:5:p:984-1002
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  1. N. Gregory Mankiw & Ricardo Reis, 2001. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," Harvard Institute of Economic Research Working Papers 1922, Harvard - Institute of Economic Research.
  2. Eric M. Leeper & Christopher A. Sims, 1994. "Toward a Modern Macroeconomic Model Usable for Policy Analysis," NBER Chapters, in: NBER Macroeconomics Annual 1994, Volume 9, pages 81-140 National Bureau of Economic Research, Inc.
  3. Smets, Frank & Wouters, Rafael, 2004. "Comparing Shocks and Frictions in US and Euro Area Business Cycles: A Bayesian DSGE Approach," CEPR Discussion Papers 4750, C.E.P.R. Discussion Papers.
  4. 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.).
  5. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  6. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February.
  7. John Geweke, 1999. "Using simulation methods for bayesian econometric models: inference, development,and communication," Econometric Reviews, Taylor & Francis Journals, vol. 18(1), pages 1-73.
  8. Bennett McCallum, . "Multiple-Solution Indeterminacies in Monetary Policy Analysis," GSIA Working Papers 2003-E77, Carnegie Mellon University, Tepper School of Business.
  9. Christiano, Lawrence J, 2002. "Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 21-55, October.
  10. Zadrozny, Peter A., 1998. "An eigenvalue method of undetermined coefficients for solving linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1353-1373, August.
  11. Peng-fei Wang & Yi Wen, 2006. "Solving linear difference systems with lagged expectations by a method of undetermined coefficients," Working Papers 2006-003, Federal Reserve Bank of St. Louis.
  12. Oleg Korenok & Norman R. Swanson, 2007. "How Sticky Is Sticky Enough? A Distributional and Impulse Response Analysis of New Keynesian DSGE Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1481-1508, 09.
  13. Smets, Frank & Wouters, Raf, 2007. "Shocks and frictions in US business cycles: a Bayesian DSGE approach," Working Paper Series 0722, European Central Bank.
  14. Trabandt, Mathias, 2007. "Sticky Information vs. Sticky Prices: A Horse Race in a DSGE Framework," Working Paper Series 209, Sveriges Riksbank (Central Bank of Sweden).
  15. Binder,M. & Pesaran,H.M., 1995. "Multivariate Rational Expectations Models and Macroeconomic Modelling: A Review and Some New Results," Cambridge Working Papers in Economics 9415, Faculty of Economics, University of Cambridge.
  16. Anderson, Gary S., 2010. "A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 472-489, March.
  17. Burmeister, Edwin, 1980. "On Some Conceptual Issues in Rational Expectations Modeling," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 12(4), pages 800-816, November.
  18. Lawrence J. Christiano & Martin Eichenbaum & Charles Evans, 2001. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," NBER Working Papers 8403, National Bureau of Economic Research, Inc.
  19. Benjamin D. Keen, 2007. "Sticky Price And Sticky Information Price-Setting Models: What Is The Difference?," Economic Inquiry, Western Economic Association International, vol. 45(4), pages 770-786, October.
  20. Coibion Olivier, 2006. "Inflation Inertia in Sticky Information Models," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-29, January.
  21. 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.
  22. Javier Andres & J. David López-Salido & Edward Nelson, 2005. "Sticky-price models and the natural rate hypothesis," Working Papers 2005-018, Federal Reserve Bank of St. Louis.
  23. Michael T. Kiley, 2005. "A quantitative comparison of sticky-price and sticky-information models of price setting," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
  24. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-26, November.
  25. Mankiw, N. Gregory & Reis, Ricardo, 2007. "Sticky Information in General Equilibrium," Scholarly Articles 3415323, Harvard University Department of Economics.
  26. Sungbae An & Frank Schorfheide, 2006. "Bayesian analysis of DSGE models," Working Papers 06-5, Federal Reserve Bank of Philadelphia.
  27. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
  28. Harald Uhlig, 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper / Institute for Empirical Macroeconomics 101, Federal Reserve Bank of Minneapolis.
  29. Sungbae An & Frank Schorfheide, 2007. "Bayesian Analysis of DSGE Models—Rejoinder," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 211-219.
  30. Rabanal, Pau & Rubio-Ramirez, Juan F., 2005. "Comparing New Keynesian models of the business cycle: A Bayesian approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1151-1166, September.
  31. 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.
  32. Taylor, John B., 1986. "New econometric approaches to stabilization policy in stochastic models of macroeconomic fluctuations," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 34, pages 1997-2055 Elsevier.
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