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Assessing GMM Estimates of the Federal Reserve Reaction Function

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  • 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.

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Bibliographic Info

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
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Handle: RePEc:bfr:banfra:83

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

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Citations

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Cited by:
  1. 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.
  2. Gunther Schnabl & Christian Danne, 2005. "The Changing Role of the Yen/Dollar Exchange Rate for Japanese Monetary Policy," International Finance 0503001, EconWPA.
  3. 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.
  4. Forte, Antonio, 2009. "The European Central Bank, the Federal Reserve and the Bank of England: is the Taylor Rule an useful benchmark for the last decade?," MPRA Paper 18309, University Library of Munich, Germany.
  5. 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.
  6. Grunspan, T., 2005. "The Fed and the Question of Financial Stability: An Empirical Investigation," Working papers 134, Banque de France.
  7. 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.
  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.

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