IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpem/0111003.html
   My bibliography  Save this paper

Assessing GMM Estimates of the Federal Reserve Reaction Function

Author

Listed:
  • Clémentine Florens

    (Université de Toulouse 1)

  • Eric Jondeau

    (Banque de France & Univ. Paris 12)

  • Hervé Le Bihan

    (Banque de France)

Abstract

Estimating a forward-looking monetary policy rule by the Generalized Method of Moments (GMM) has become a popular approach since the influential paper by Clarida, Gali, and Gertler (1998). However , an abundant econometric literature underlines to the unappealing small- samples properties of GMM estimators. Focusing on the Federal Reserve reaction function, we assess GMM estimates in the context of monetary policy rules. First, we show that three usual alternative GMM estimators yield substantially different results. Then, we compare the GMM estimates with two Maximum-Likelihood (ML) estimates, obtained using a small model of the economy. We use Monte-Carlo simulations to investigate the empirical results. We find that the GMM are biased in small sample, inducing an overestimate of the inflation parameter . The two-step GMM estimates are found to be rather close to the ML estimates. By contrast, iterative and continuous-updating GMM procedures produce more biased and more dispersed estimators.

Suggested Citation

  • Clémentine Florens & Eric Jondeau & Hervé Le Bihan, 2001. "Assessing GMM Estimates of the Federal Reserve Reaction Function," Econometrics 0111003, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpem:0111003
    Note: Type of Document - ; prepared on ; to print on ; pages: 29
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/em/papers/0111/0111003.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    3. Angeloni, Ignazio & Dedola, Luca, 1999. "From the ERM to the euro: new evidence on economic and policy convergence among EU countries," Working Paper Series 4, European Central Bank.
    4. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 147-180.
    5. Andersen, Torben G & Sorensen, Bent E, 1996. "GMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 328-352, July.
    6. Orphanides, Athanasios, 2003. "The quest for prosperity without inflation," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 633-663, April.
    7. Nelson, Charles R & Startz, Richard, 1990. "Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator," Econometrica, Econometric Society, vol. 58(4), pages 967-976, July.
    8. 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.
    9. Richard H. Clarida & Mark Gertler, 1997. "How the Bundesbank Conducts Monetary Policy," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 363-412, National Bureau of Economic Research, Inc.
    10. Edward Nelson, 2000. "UK monetary policy 1972-97: a guide using Taylor rules," Bank of England working papers 120, Bank of England.
    11. Michael Woodford, 1999. "Optimal Monetary Policy Inertia," Manchester School, University of Manchester, vol. 67(s1), pages 1-35.
    12. Nicoletta Batini & Andrew Haldane, 1999. "Forward-Looking Rules for Monetary Policy," NBER Chapters, in: Monetary Policy Rules, pages 157-202, National Bureau of Economic Research, Inc.
    13. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    14. Jeffrey C. Fuhrer, 1996. "Monetary Policy Shifts and Long-Term Interest Rates," The Quarterly Journal of Economics, Oxford University Press, vol. 111(4), pages 1183-1209.
    15. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
    16. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters, in: Monetary Policy Rules, pages 203-262, National Bureau of Economic Research, Inc.
    17. William Kerr & Robert G. King, 1996. "Limits on interest rate rules in the IS model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 47-75.
    18. Taylor, John B., 1999. "The robustness and efficiency of monetary policy rules as guidelines for interest rate setting by the European central bank," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 655-679, June.
    19. Jeff Fuhrer & Arturo Estrella, 1999. "Are 'Deep' Parameters Stable? The Lucas Critique as an Empirical Hypothesis," Computing in Economics and Finance 1999 621, Society for Computational Economics.
    20. Gerlach, Stefan & Schnabel, Gert, 2000. "The Taylor rule and interest rates in the EMU area," Economics Letters, Elsevier, vol. 67(2), pages 165-171, May.
    21. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    22. Clarida, Richard & Gali, Jordi & Gertler, Mark, 1998. "Monetary policy rules in practice Some international evidence," European Economic Review, Elsevier, vol. 42(6), pages 1033-1067, June.
    23. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    24. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 397-416, October.
    25. Christina D. Romer & David H. Romer, 1997. "Reducing Inflation: Motivation and Strategy," NBER Books, National Bureau of Economic Research, Inc, number rome97-1, March.
    26. Sack, Brian & Wieland, Volker, 2000. "Interest-rate smoothing and optimal monetary policy: a review of recent empirical evidence," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 205-228.
    27. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    28. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 423-425, October.
    29. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
    30. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
    31. Cumby, Robert E. & Huizinga, John & Obstfeld, Maurice, 1983. "Two-step two-stage least squares estimation in models with rational expectations," Journal of Econometrics, Elsevier, vol. 21(3), pages 333-355, April.
    32. Maddala, G S & Jeong, Jinook, 1992. "On the Exact Small Sample Distribution of the Instrumental Variable Estimator," Econometrica, Econometric Society, vol. 60(1), pages 181-183, January.
    33. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October.
    34. Richard H. Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    35. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    36. Yash P. Mehra, 1999. "A forward-looking monetary policy reaction function," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 33-54.
    37. Ferson, Wayne E. & Foerster, Stephen R., 1994. "Finite sample properties of the generalized method of moments in tests of conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 36(1), pages 29-55, August.
    38. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-280, July.
    39. Gert Peersman & Frank Smets, 1999. "Uncertainty and the Taylor rule in a simple model of the Euro-area economy," Proceedings, Federal Reserve Bank of San Francisco.
    40. Stephen K. McNees, 1992. "A forward-looking monetary policy reaction function: continuity and change," New England Economic Review, Federal Reserve Bank of Boston, issue Nov, pages 3-13.
    41. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    42. Gert Schnabel & Stefan Gerlach, 1999. "The Taylor rule and interest rates in the EMU area: a note," BIS Working Papers 73, Bank for International Settlements.
    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. Samira Haddou, 2010. "Non-linéarité de la fonction de réaction des autorités monétaires tunisiennes," Économie et Prévision, Programme National Persée, vol. 195(4), pages 99-110.
    2. Pierre Siklos & Martin Bohl, 2009. "Asset Prices as Indicators of Euro Area Monetary Policy: An Empirical Assessment of Their Role in a Taylor Rule," Open Economies Review, Springer, vol. 20(1), pages 39-59, February.
    3. Siklos, Pierre L. & Bohl, Martin T., 2007. "Do actions speak louder than words? Evaluating monetary policy at the Bundesbank," Journal of Macroeconomics, Elsevier, vol. 29(2), pages 368-386, June.
    4. Antonio Forte, 2010. "The European Central Bank, the Federal Reserve and the Bank of England: Is the Taylor Rule a useful benchmark for the last decade?," Journal of Economics and Econometrics, Economics and Econometrics Society, vol. 53(2), pages 1-31.
    5. Gunther Schnabl & Christian Danne, 2005. "The Changing Role of the Yen/Dollar Exchange Rate for Japanese Monetary Policy," International Finance 0503001, University Library of Munich, Germany.
    6. Grunspan, T., 2005. "The Fed and the Question of Financial Stability: An Empirical Investigation," Working papers 134, Banque de France.
    7. Abdul RASHID & Farah WAHEED, 2021. "Forward-Backward-Looking Monetary Policy Rules: Derivation and Empirics," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 71-92, December.
    8. Alvaro Aguiar & Manuel M.F. Martins, 2005. "The Preferences of the Euro Area Monetary Policy‐maker," Journal of Common Market Studies, Wiley Blackwell, vol. 43(2), pages 221-250, June.
    9. Mésonnier, J-S. & Renne, J-P., 2004. "Règle de Taylor et politique monétaire dans la zone euro," Working papers 117, Banque de France.
    10. Jean-Guillaume Sahuc, 2002. "A 'hybrid' monetary policy model: evidence from the Euro area," Applied Economics Letters, Taylor & Francis Journals, vol. 9(14), pages 949-955.
    11. Mario Jovanovic & Tobias Zimmermann, 2008. "Stock Market Uncertainty and Monetary Policy Reaction Functions of the Federal Reserve Bank," Ruhr Economic Papers 0077, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    12. Jovanovic Mario & Zimmermann Tobias, 2010. "Stock Market Uncertainty and Monetary Policy Reaction Functions of the Federal Reserve Bank," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-19, July.
    13. repec:zbw:rwirep:0077 is not listed on IDEAS
    14. Ullrich, Katrin, 2003. "A Comparison Between the Fed and the ECB: Taylor Rules," ZEW Discussion Papers 03-19, ZEW - Leibniz Centre for European Economic Research.
    15. Ravenna, Federico & Walsh, Carl E., 2006. "Optimal monetary policy with the cost channel," Journal of Monetary Economics, Elsevier, vol. 53(2), pages 199-216, March.
    16. Bohl, Martin T. & Siklos, Pierre L., 2005. "The Role of Asset Prices in Euro Area Monetary Policy: Specification and Estimation of Policy Rules and Implications for the European Central Bank," Working Paper Series 2005,6, European University Viadrina Frankfurt (Oder), The Postgraduate Research Programme Capital Markets and Finance in the Enlarged Europe.
    17. Jovanović, Mario & Zimmermann, Tobias, 2008. "Stock Market Uncertainty and Monetary Policy Reaction Functions of the Federal Reserve Bank," Ruhr Economic Papers 77, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

    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. 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.
    2. Coenen, Gunter & Wieland, Volker, 2005. "A small estimated euro area model with rational expectations and nominal rigidities," European Economic Review, Elsevier, vol. 49(5), pages 1081-1104, July.
    3. repec:zbw:cfswop:wp200308 is not listed on IDEAS
    4. 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.
    5. Anton Muscatelli & Carmine Trecroci, 2000. "Monetary Policy Rules, Policy Preferences, and Uncertainty: Recent Empirical Evidence," Journal of Economic Surveys, Wiley Blackwell, vol. 14(5), pages 597-627, December.
    6. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty," American Economic Review, American Economic Association, vol. 93(3), pages 622-645, June.
    7. Luís, Pacheco, 2004. "Asset Prices and Monetary Policy in the Euro Area: a tentative model," MPRA Paper 6579, University Library of Munich, Germany.
    8. Stephan Sauer & Jan-Egbert Sturm, 2003. "Using Taylor Rules to Understand ECB Monetary Policy," CESifo Working Paper Series 1110, CESifo.
    9. Orphanides, Athanasios, 2004. "Monetary Policy Rules, Macroeconomic Stability, and Inflation: A View from the Trenches," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(2), pages 151-175, April.
    10. repec:zbw:cfswop:wp200306 is not listed on IDEAS
    11. Lars E. O. Svensson, 2003. "What Is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 426-477, June.
    12. Wieland, Volker & Wolters, Maik, 2013. "Forecasting and Policy Making," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 239-325, Elsevier.
    13. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.
    14. 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.
    15. Stephan Sauer & Jan‐Egbert Sturm, 2007. "Using Taylor Rules to Understand European Central Bank Monetary Policy," German Economic Review, Verein für Socialpolitik, vol. 8(3), pages 375-398, August.
    16. Orphanides, Athanasios, 2003. "The quest for prosperity without inflation," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 633-663, April.
    17. Huang, Kevin X.D. & Meng, Qinglai & Xue, Jianpo, 2009. "Is forward-looking inflation targeting destabilizing? The role of policy's response to current output under endogenous investment," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 409-430, February.
    18. Christopher Adam & David Cobham & Eric Girardin, 2005. "Monetary Frameworks and Institutional Constraints: UK Monetary Policy Reaction Functions, 1985–2003," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 497-516, August.
    19. Hakan, Yilmazkuday, 2009. "Is there a Role for International Trade Costs in Explaining the Central Bank Behavior?," MPRA Paper 15951, University Library of Munich, Germany.
    20. Hayat, Aziz & Mishra, Sagarika, 2010. "Federal reserve monetary policy and the non-linearity of the Taylor rule," Economic Modelling, Elsevier, vol. 27(5), pages 1292-1301, September.
    21. Wollmershauser, Timo, 2006. "Should central banks react to exchange rate movements? An analysis of the robustness of simple policy rules under exchange rate uncertainty," Journal of Macroeconomics, Elsevier, vol. 28(3), pages 493-519, September.
    22. Coenen, Gunter & Wieland, Volker, 2005. "A small estimated euro area model with rational expectations and nominal rigidities," European Economic Review, Elsevier, vol. 49(5), pages 1081-1104, July.

    More about this item

    Keywords

    Forward-looking model; monetary policy reaction function; GMM estimator ; FIML estimator ; small-sample properties of an estimator .;
    All these keywords.

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

    Statistics

    Access and download statistics

    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:wpa:wuwpem:0111003. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.