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Assessing GMM Estimates of the Federal Reserve Reaction Function

  • Florens, C.
  • Jondeau, E.
  • Le Bihan, H.

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 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.

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Paper provided by Banque de France in its series Working papers with number 83.

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Length: 23 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:bfr:banfra:83
Contact details of provider: Postal: Banque de France 31 Rue Croix des Petits Champs LABOLOG - 49-1404 75049 PARIS
Web page: http://www.banque-france.fr/

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  1. Clarida, R. & Gali, J. & Gertler, M., 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and some Theory," Working Papers 98-01, C.V. Starr Center for Applied Economics, New York University.
  2. 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.
  3. Fuhrer, Jeffrey C, 1996. "Monetary Policy Shifts and Long-Term Interest Rates," The Quarterly Journal of Economics, MIT Press, vol. 111(4), pages 1183-1209, November.
  4. 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.
  5. Clarida, R. & Gertler, M., 1996. "How the Bundesbank Conducts Monetary Policy," Working Papers 96-14, C.V. Starr Center for Applied Economics, New York University.
  6. Lars E O Svensson, 1996. "Inflation Forecast Targeting: Implementing and Monitoring Inflation Targets," Bank of England working papers 56, Bank of England.
  7. Edward Nelson, 2000. "UK monetary policy 1972-97: a guide using Taylor rules," Bank of England working papers 120, Bank of England.
  8. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  9. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  10. 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.
  11. Taylor, John B., 1998. "The Robustness and Efficiency of Monetary Policy Rules as Guidelines for Interest Rate Setting by the European Central Bank," Seminar Papers 649, Stockholm University, Institute for International Economic Studies.
  12. Orphanides, Athanasios, 1999. "The Quest for Prosperity Without Inflation," Working Paper Series 93, Sveriges Riksbank (Central Bank of Sweden).
  13. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
  14. 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.
  15. 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.
  16. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  17. 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.
  18. Torben G. Andersen & Hyung-Jin Chung & Bent E. Sorensen, . "EMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study," Computing in Economics and Finance 1997 6, Society for Computational Economics.
  19. Maddala, G S & Jeong, Jinook, 1992. "On the Exact Small Sample Distribution of the Instrumental Variable Estimator," Econometrica, Econometric Society, vol. 60(1), pages 181-83, January.
  20. 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.
  21. Jeffrey Fuhrer & George Moore & Scott Schuh, 1993. "Estimating the linear-quadratic inventory model: maximum likelihood versus generalized method of moments," Finance and Economics Discussion Series 93-11, Board of Governors of the Federal Reserve System (U.S.).
  22. 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 967-76, July.
  23. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, December.
  24. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  25. 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.
  26. 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.
  27. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
  28. Svensson, Lars E.O. & Rudebusch , Glenn, 1998. "Policy Rules for Inflation Targeting," Seminar Papers 637, Stockholm University, Institute for International Economic Studies.
  29. 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.
  30. 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 262-80, July.
  31. Angeloni, Ignazio & Dedola, Luca, 1999. "From the ERM to the euro: new evidence on economic and policy convergence among EU countries," Working Paper Series 0004, European Central Bank.
  32. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  33. 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.
  34. 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.
  35. 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.
  36. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
  37. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October.
  38. Yash P. Mehra, 1999. "A forward-looking monetary policy reaction function," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 33-54.
  39. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
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