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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

We compare different methods for estimating forwardlooking output and inflation equations and show that weak identification can be an issue in conventional GMM estimation. GMM and maximum likelihood procedures that impose the dynamic constraints implied by the forwardlooking relation on the instruments set are found to be more reliable than conventional GMM. These ?optimal instruments? procedures provide a robust alternative to estimating dynamic macroeconomic relations, and suggest only a limited role for expectational terms.

Suggested Citation

  • Jeffrey C. Fuhrer & Giovanni P. Olivei, 2005. "Estimating forward-looking Euler equations with GMM estimators: an optimal-instruments approach," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 87-114.
    • Handle: RePEc:fip:fedgpr:y:2005:p:87-114
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    References listed on IDEAS

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    2. Oscar Jorda & Sharon Kozicki, 2006. "Projection Minimum Distance: An Estimator for Dynamic Macroeconomic Models," Working Papers 623, University of California, Davis, Department of Economics.
    3. Scheufele, Rolf, 2010. "Evaluating the German (New Keynesian) Phillips curve," The North American Journal of Economics and Finance, Elsevier, vol. 21(2), pages 145-164, August.
    4. Sophocles Mavroeidis, 2006. "Testing the New Keynesian Phillips Curve Without Assuming Identification," Working Papers 2006-13, Brown University, Department of Economics.
    5. Gourieroux, C. & Jasiak, J. & Monfort, A., 2020. "Stationary bubble equilibria in rational expectation models," Journal of Econometrics, Elsevier, vol. 218(2), pages 714-735.
    6. Anna Florio, 2013. "The Implied Consumer Euler Rate: What Role for Financial Frictions?," CESifo Economic Studies, CESifo Group, vol. 59(4), pages 650-675, December.
    7. 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.
    8. Dufour, Jean-Marie & Khalaf, Lynda & Kichian, Maral, 2006. "Inflation dynamics and the New Keynesian Phillips Curve: An identification robust econometric analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1707-1727.
    9. Oscar Jorda & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Working Papers 148, University of California, Davis, Department of Economics.
    10. Michelle L. Barnes & Fabia Gumbau-Brisa & Denny Lie & Giovanni P. Olivei, 2011. "Estimation of forward-looking relationships in closed form: an application to the New Keynesian Phillips curve," Working Papers 11-3, Federal Reserve Bank of Boston.
    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. 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.
    13. Morrisy, Stephen D., 2017. "Efficient estimation of macroeconomic equations with unobservable states," Economic Modelling, Elsevier, vol. 60(C), pages 408-423.
    14. Òscar Jordà & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Staff Working Papers 07-56, Bank of Canada.
    15. Mazumder, Sandeep, 2011. "Cost-based Phillips Curve forecasts of inflation," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 553-567.
    16. Ben Ali, Samir, 2010. "A New Keynesian Phillips curve for Tunisia : Estimation and analysis of sensitivity," MPRA Paper 29624, University Library of Munich, Germany.
    17. Pym Manopimoke, 2016. "The Output Euler Equation and Real Interest Rate Regimes," PIER Discussion Papers 33, Puey Ungphakorn Institute for Economic Research.
    18. Mazumder, Sandeep, 2011. "The empirical validity of the New Keynesian Phillips curve using survey forecasts of inflation," Economic Modelling, Elsevier, vol. 28(6), pages 2439-2450.

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