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Estimating forward looking Euler equations with GMM estimators: an optimal instruments approach

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Author Info
Jeffrey C. Fuhrer
Giovanni P. Olivei

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Abstract

This paper compares different methods for estimating forward-looking output and inflation Euler equations and shows that weak identification can be an issue in conventional GMM estimation. The authors propose a GMM procedure that imposes the dynamic constraints implied by the forward-looking relation on the instruments set. This “optimal instruments” procedure is more reliable than conventional GMM, and it provides a robust alternative to estimating dynamic macroeconomic relations. Empirical applications of this procedure suggest only a limited role for expectational terms.

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Paper provided by Federal Reserve Bank of Boston in its series Working Papers with number 04-2.

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Date of creation: 2004
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Handle: RePEc:fip:fedbwp:04-2

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Keywords: Keynesian economics ; Macroeconomics;

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  1. repec:cup:etheor:v:9:y:1993:i:2:p:222-40 is not listed on IDEAS
  2. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Jeffrey C. Fuhrer, 2000. "Habit Formation in Consumption and Its Implications for Monetary-Policy Models," American Economic Review, American Economic Association, vol. 90(3), pages 367-390, June. [Downloadable!] (restricted)
  4. Kozicki, Sharon & Tinsley, P. A., 1999. "Vector rational error correction," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1299-1327, September. [Downloadable!] (restricted)
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  5. 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.
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  6. Buiter, Willem H & Jewitt, Ian, 1981. "Staggered Wage Setting with Real Wage Relativities: Variations on a Theme of Taylor," The Manchester School of Economic & Social Studies, Blackwell Publishing, vol. 49(3), pages 211-28, September.
  7. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October. [Downloadable!] (restricted)
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  8. Arturo Estrella & Jeffrey C. Fuhrer, 2002. "Dynamic Inconsistencies: Counterfactual Implications of a Class of Rational-Expectations Models," American Economic Review, American Economic Association, vol. 92(4), pages 1013-1028, September. [Downloadable!]
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  9. Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-29, October.
  10. Glenn D. Rudebusch & Jeffrey C. Fuhrer, 2002. "Estimating the Euler equation for output," Working Papers in Applied Economic Theory 2002-12, Federal Reserve Bank of San Francisco. [Downloadable!]
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  11. Cragg, John G. & Donald, Stephen G., 1993. "Testing Identifiability and Specification in Instrumental Variable Models," Econometric Theory, Cambridge University Press, vol. 9(02), pages 222-240, April. [Downloadable!]
  12. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252. [Downloadable!] (restricted)
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  1. DUFOUR, Jean-Marie Dufour & KHALAF, Lynda & KICHIAN, Maral, 2005. "Inflation dynamics and the New Keynesian Phillips Curve: an identification robust econometric analysis," Cahiers de recherche 2005-17, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  2. Rolf Scheufele, 2008. "Evaluating the German (New Keynesian) Phillips Curve," IWH Discussion Papers 10-08, Halle Institute for Economic Research. [Downloadable!]
  3. Sophocles Mavroeidis, 2006. "Testing the New Keynesian Phillips Curve Without Assuming Identification," Working Papers 2006-13, Brown University, Department of Economics. [Downloadable!]
  4. Sandeep Mazumder, 2008. "The New Keynesian Phillips Curve and the Cyclicality of Marginal Cost," Economics Working Paper Archive 545, The Johns Hopkins University,Department of Economics. [Downloadable!]
  5. Dibartolomeo, Giovanni & Rossi, Lorenza & Tancioni, Massimiliano, 2004. "Monetary Policy under Rule-of-Thumb Consumers and External Habits: An International Empirical Comparison," MPRA Paper 1094, University Library of Munich, Germany, revised Jun 2006. [Downloadable!]
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  6. Òscar Jordà & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Working Papers 07-56, Bank of Canada. [Downloadable!]
    Other versions:
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