Advanced Search
MyIDEAS: Login to save this paper or follow this series

Assessing GMM Estimates of the Federal Reserve Reaction Function

Contents:

Author Info

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

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 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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.banque-france.fr/uploads/tx_bdfdocumentstravail/ner83.pdf
Download Restriction: no

Bibliographic Info

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

as in new window
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/
More information through EDIRC

Related research

Keywords: Forward-looking model ; monetary policy reaction function ; GMM estimator; FIML estimator ; small-sample properties of an estimator.;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Michael Woodford, 1999. "Optimal monetary policy inertia," Proceedings, Federal Reserve Bank of San Francisco.
  2. Charles R. Nelson & Richard Startz, 1988. "Some Further Results on the Exact Small Sample Properties of the Instrumental Variable Estimator," NBER Technical Working Papers 0068, National Bureau of Economic Research, Inc.
  3. Nelson, Edward, 2001. "UK Monetary Policy 1972-97: A Guide Using Taylor Rules," CEPR Discussion Papers 2931, C.E.P.R. Discussion Papers.
  4. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February.
  5. Glenn D. Rudebusch & Lars E. O. Svensson, 1998. "Policy rules for inflation targeting," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  6. Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
  7. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  8. Svensson, L-E-O, 1996. "Inflation Forecast Targeting : Implementaing and Monitoring Inflation Targets," Papers 615, Stockholm - International Economic Studies.
  9. 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.
  10. Richard Clarida & Mark Gertler, 1996. "How the Bundesbank Conducts Monetary Policy," NBER Working Papers 5581, National Bureau of Economic Research, Inc.
  11. Andrew G. Haldane & Nicoletta Batini, 1998. "Forward-Looking Rules for Monetary Policy," NBER Working Papers 6543, National Bureau of Economic Research, Inc.
  12. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
  13. 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.
  14. 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.
  15. 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.
  16. Yash P. Mehra, 1999. "A forward-looking monetary policy reaction function," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 33-54.
  17. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  18. Richard Clarida & Jordi Gali & Mark Gertler, 1997. "Monetary Policy Rules in Practice: Some International Evidence," NBER Working Papers 6254, National Bureau of Economic Research, Inc.
  19. Orphanides, Athanasios, 2000. "The quest for prosperity without inflation," Working Paper Series 0015, European Central Bank.
  20. 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.).
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
  28. 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.
  29. 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 328-52, July.
  30. 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.
  31. 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.
  32. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
  33. 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.
  34. 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.
  35. Richard Clarida & Jordi Gali & Mark Gertler, 1998. "Monetary policy rules in practice," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  36. 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.
  37. 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.
  38. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  39. Kocherlakota, Narayana R., 1990. "On tests of representative consumer asset pricing models," Journal of Monetary Economics, Elsevier, vol. 26(2), pages 285-304, October.
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 in new window

Cited by:
  1. Schnabl, Gunther & Danne, Christian, 2005. "The Changing Role of the Yen/Dollar Exchange Rate for Japanese Monetary Policy," Tübinger Diskussionsbeiträge 290, University of Tübingen, School of Business and Economics.
  2. 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.
  3. 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.
  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 Research Institute (EERI), Brussels, vol. 53(2), pages 1-31.
  5. Grunspan, T., 2005. "The Fed and the Question of Financial Stability: An Empirical Investigation," Working papers 134, Banque de France.
  6. 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.
  7. Ullrich, Katrin, 2003. "A Comparison Between the Fed and the ECB: Taylor Rules," ZEW Discussion Papers 03-19, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  8. 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.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:bfr:banfra:83. 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: (Michael brassart).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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