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

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  • Jeffrey C. Fuhrer
  • Giovanni P. Olivei

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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Bibliographic Info

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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References

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  1. 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.
  2. 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.
  3. 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, University of Manchester, vol. 49(3), pages 211-28, September.
  4. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
  5. repec:cup:etheor:v:9:y:1993:i:2:p:222-40 is not listed on IDEAS
  6. John Shea, 1996. "Instrument Relevance in Multivariate Linear Models: A Simple Measure," NBER Technical Working Papers 0193, National Bureau of Economic Research, Inc.
  7. 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.
  8. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  9. 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.
  10. 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.
  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.
  12. Jeffrey C. Fuhrer & Glenn D. Rudebusch, 2002. "Estimating the Euler equation for output," Working Papers 02-3, Federal Reserve Bank of Boston.
  13. 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.
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Citations

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Cited by:
  1. Mazumder, Sandeep, 2011. "Cost-based Phillips Curve forecasts of inflation," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 553-567.
  2. Barnes, Michelle L. & Gumbau-Brisa, Fabià & Lie, Denny & Olivei, Giovanni P., 2011. "Estimation of Forward-Looking Relationships in Closed Form: An Application to the New Keynesian Phillips Curve," Working Papers 2011-05, University of Sydney, School of Economics.
  3. Bilbiie, Florin O. & Straub, Roland, 2012. "Changes in the output Euler equation and asset markets participation," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1659-1672.
  4. Òscar Jordà & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Working Papers 07-56, Bank of Canada.
  5. Mazumder, Sandeep, 2010. "The new Keynesian Phillips curve and the cyclicality of marginal cost," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 747-765, September.
  6. Rolf Scheufele, 2008. "Evaluating the German (New Keynesian) Phillips Curve," IWH Discussion Papers 10, Halle Institute for Economic Research.
  7. DUFOUR, Jean-Marie & KHALAF, Lynda & KICHIAN, Maral, 2005. "Inflation Dynamics and the New Keynesian Phillips Curve: An Identification Robust Econometric Analysis," Cahiers de recherche 22-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Oscar Jorda & Sharon Kozicki, 2006. "Projection Minimum Distance: An Estimator for Dynamic Macroeconomic Models," Working Papers 623, University of California, Davis, Department of Economics.
  9. Ben Ali, Samir, 2010. "A New Keynesian Phillips curve for Tunisia : Estimation and analysis of sensitivity," MPRA Paper 29624, University Library of Munich, Germany.
  10. Ramos-Francia, Manuel & Torres, Alberto, 2008. "Inflation dynamics in Mexico: A characterization using the New Phillips curve," The North American Journal of Economics and Finance, Elsevier, vol. 19(3), pages 274-289, December.
  11. 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.
  12. Sophocles Mavroeidis, 2006. "Testing the New Keynesian Phillips Curve Without Assuming Identification," Working Papers 2006-13, Brown University, Department of Economics.

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