IDEAS home Printed from https://ideas.repec.org/a/fip/fedgpr/y2005p87-114.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.federalreserve.gov/events/conferences/mmp2004/pdf/Fuhrer-Olivei.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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 338-350, August.
    2. Fuhrer, Jeffrey C. & Moore, George R. & Schuh, Scott D., 1995. "Estimating the linear-quadratic inventory model Maximum likelihood versus generalized method of moments," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 115-157, February.
    3. 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 518-529, October.
    4. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    5. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September.
    6. 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.
    7. Cragg, John G. & Donald, Stephen G., 1993. "Testing Identifiability and Specification in Instrumental Variable Models," Econometric Theory, Cambridge University Press, vol. 9(2), pages 222-240, April.
    8. repec:cup:etheor:v:9:y:1993:i:2:p:222-40 is not listed on IDEAS
    9. Tinsley, P A, 2002. "Rational Error Correction," Computational Economics, Springer;Society for Computational Economics, vol. 19(2), pages 197-225, April.
    10. 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.
    11. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    12. 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 211-228, September.
    13. John Shea, 1997. "Instrument Relevance in Multivariate Linear Models: A Simple Measure," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 348-352, May.
    14. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    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. Oscar Jorda & Sharon Kozicki, 2006. "Projection Minimum Distance: An Estimator for Dynamic Macroeconomic Models," Working Papers 623, University of California, Davis, Department of Economics.
    5. 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.
    6. Morrisy, Stephen D., 2017. "Efficient estimation of macroeconomic equations with unobservable states," Economic Modelling, Elsevier, vol. 60(C), pages 408-423.
    7. Òscar Jordà & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Staff Working Papers 07-56, Bank of Canada.
    8. Sophocles Mavroeidis, 2006. "Testing the New Keynesian Phillips Curve Without Assuming Identification," Working Papers 2006-13, Brown University, Department of Economics.
    9. Gourieroux, C. & Jasiak, J. & Monfort, A., 2020. "Stationary bubble equilibria in rational expectation models," Journal of Econometrics, Elsevier, vol. 218(2), pages 714-735.
    10. Mazumder, Sandeep, 2011. "Cost-based Phillips Curve forecasts of inflation," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 553-567.
    11. Ben Ali, Samir, 2010. "A New Keynesian Phillips curve for Tunisia : Estimation and analysis of sensitivity," MPRA Paper 29624, University Library of Munich, Germany.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    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.
    19. Òscar Jordà & Sharon Kozicki, 2007. "Estimation and Inference by the Method of Projection Minimum Distance," Staff Working Papers 07-56, Bank of Canada.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fuhrer, Jeffrey C. & Rudebusch, Glenn D., 2004. "Estimating the Euler equation for output," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1133-1153, September.
    2. Jondeau, Eric & Le Bihan, Hervé, 2008. "Examining bias in estimators of linear rational expectations models under misspecification," Journal of Econometrics, Elsevier, vol. 143(2), pages 375-395, April.
    3. Henzel, Steffen & Wollmershäuser, Timo, 2008. "The New Keynesian Phillips curve and the role of expectations: Evidence from the CESifo World Economic Survey," Economic Modelling, Elsevier, vol. 25(5), pages 811-832, September.
    4. Sophocles Mavroeidis & Mikkel Plagborg-Møller & James H. Stock, 2014. "Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 124-188, March.
    5. Luca Fanelli, 2008. "Testing the New Keynesian Phillips Curve Through Vector Autoregressive Models: Results from the Euro Area," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(1), pages 53-66, February.
    6. Eric JONDEAU & Herve LE BIHAN, 2003. "ML vs GMM Estimates of Hybrid Macroeconomic Models (With an Application to the "New Phillips Curve")," Econometrics 0303006, University Library of Munich, Germany.
    7. Rochelle M. Edge & Thomas Laubach & John C. Williams, 2003. "The responses of wages and prices to technology shocks," Finance and Economics Discussion Series 2003-65, Board of Governors of the Federal Reserve System (U.S.).
    8. Charles Goodhart & Boris Hofmann, 2005. "The IS curve and the transmission of monetary policy: is there a puzzle?," Applied Economics, Taylor & Francis Journals, vol. 37(1), pages 29-36.
    9. Éric Jondeau & Hervé Le Bihan, 2002. "Evaluating Monetary Policy Rules in Estimated Forward-Looking Models: A Comparison of US and German Monetary Policies," Annals of Economics and Statistics, GENES, issue 67-68, pages 357-388.
    10. Bhavesh Salunkhe & Anuradha Patnaik, 2018. "The IS Curve and Monetary Policy Transmission in India: A New Keynesian Perspective," Margin: The Journal of Applied Economic Research, National Council of Applied Economic Research, vol. 12(1), pages 41-66, February.
    11. Jeffrey C. Fuhrer, 2006. "Intrinsic and Inherited Inflation Persistence," International Journal of Central Banking, International Journal of Central Banking, vol. 2(3), September.
    12. Palma, Andreza Aparecida & Portugal, Marcelo Savino, 2011. "Preferences of the Central Bank of Brasil under the inflation targeting regime: commitment vs. discretion," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 65(4), November.
    13. André Kurmann, 2004. "Maximum Likelihood Estimation of Dynamic Stochastic Theories with an Application to New Keynesian Pricing," Macroeconomics 0409028, University Library of Munich, Germany.
    14. Gregory E. Givens, 2012. "Estimating Central Bank Preferences under Commitment and Discretion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(6), pages 1033-1061, September.
    15. Dennis, Richard & Soderstrom, Ulf, 2006. "How Important Is Precommitment for Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 847-872, June.
    16. Ulf Söderström & Paul Söderlind & Anders Vredin, 2005. "New‐Keynesian Models and Monetary Policy: A Re‐examination of the Stylized Facts," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(3), pages 521-546, September.
    17. Matheron, Julien & Poilly, Céline, 2009. "How well does a small structural model with sticky prices and wages fit postwar U.S. data?," Economic Modelling, Elsevier, vol. 26(1), pages 266-284, January.
    18. Linde, Jesper, 2005. "Estimating New-Keynesian Phillips curves: A full information maximum likelihood approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1135-1149, September.
    19. Rudebusch, Glenn D., 2002. "Term structure evidence on interest rate smoothing and monetary policy inertia," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1161-1187, September.
    20. Katarína Danišková & Jarko Fidrmuc, 2011. "Inflation Convergence and the New Keynesian Phillips Curve in the Czech Republic," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 5(2), pages 099-115, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fip:fedgpr:y:2005:p:87-114. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ryan Wolfslayer ; Keisha Fournillier (email available below). General contact details of provider: https://edirc.repec.org/data/frbgvus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.