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Weak Identification of Forward-looking Models in Monetary Economics


  • Sophocles Mavroeidis


Recently, single-equation estimation by the generalized method of moments (GMM) has become popular in the monetary economics literature, for estimating forward-looking models with rational expectations. We discuss a method for analysing the empirical identification of such models that exploits their dynamic structure and the assumption of rational expectations. This allows us to judge the reliability of the resulting GMM estimation and inference and reveals the potential sources of weak identification. With reference to the New Keynesian Phillips curve of Galí and Gertler ["Journal of Monetary Economics" (1999) Vol. 44, 195] and the forward-looking Taylor rules of Clarida, Galí and Gertler ["Quarterly Journal of Economics" (2000) Vol. 115, 147], we demonstrate that the usual 'weak instruments' problem can arise naturally, when the predictable variation in inflation is small relative to unpredictable future shocks (news). Hence, we conclude that those models are less reliably estimated over periods when inflation has been under effective policy control. Copyright 2004 Blackwell Publishing Ltd.

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  • Sophocles Mavroeidis, 2004. "Weak Identification of Forward-looking Models in Monetary Economics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(s1), pages 609-635, September.
  • Handle: RePEc:bla:obuest:v:66:y:2004:i:s1:p:609-635

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    1. Avinash Dixit & Luisa Lambertini, 2003. "Interactions of Commitment and Discretion in Monetary and Fiscal Policies," American Economic Review, American Economic Association, vol. 93(5), pages 1522-1542, December.
    2. Jordi Galí & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 707-734.
    3. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    4. Watson, Mark W, 1993. "Measures of Fit for Calibrated Models," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1011-1041, December.
    5. 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.
    6. A. R. Pagan & J. C. Robertson, 1998. "Structural Models Of The Liquidity Effect," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 202-217, May.
    7. Amit Kara & Edward Nelson, 2003. "The Exchange Rate and Inflation in the UK," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(5), pages 585-608, November.
    8. Bewley, R. A., 1979. "The direct estimation of the equilibrium response in a linear dynamic model," Economics Letters, Elsevier, vol. 3(4), pages 357-361.
    9. Michael Woodford, 1996. "Control of the Public Debt: A Requirement for Price Stability?," NBER Working Papers 5684, National Bureau of Economic Research, Inc.
    10. Arturo Estrella & Jeffrey C. Fuhrer, 2003. "Monetary Policy Shifts and the Stability of Monetary Policy Models," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 94-104, February.
    11. 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.
    12. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    13. Zivot, Eric & Startz, Richard & Nelson, Charles R, 1998. "Valid Confidence Intervals and Inference in the Presence of Weak Instruments," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1119-1146, November.
    14. 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.
    15. Bankim Chadha & Paul R. Masson & Guy Meredith, 1992. "Models of Inflation and the Costs of Disinflation," IMF Staff Papers, Palgrave Macmillan, vol. 39(2), pages 395-431, June.
    16. 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.
    17. Bean, Charles, 1998. "The New UK Monetary Arrangements: A View from the Literature," Economic Journal, Royal Economic Society, vol. 108(451), pages 1795-1809, November.
    18. Galí, Jordi & Gertler, Mark, 1999. "Inflation Dynamics: A Structural Economic Analysis," CEPR Discussion Papers 2246, C.E.P.R. Discussion Papers.
    19. Marcelo J. Moreira, 2003. "A Conditional Likelihood Ratio Test for Structural Models," Econometrica, Econometric Society, vol. 71(4), pages 1027-1048, July.
    20. 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.
    21. Hendry, David F., 1995. "Dynamic Econometrics," OUP Catalogue, Oxford University Press, number 9780198283164, June.
    22. Monacelli, Tommaso, 2003. "Monetary policy in a low pass-through environment," Working Paper Series 227, European Central Bank.
    23. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
    24. Frank Kleibergen, 2002. "Pivotal Statistics for Testing Structural Parameters in Instrumental Variables Regression," Econometrica, Econometric Society, vol. 70(5), pages 1781-1803, September.
    25. Tommaso Monacelli, 2003. "Monetary Policy in a Low Pass-Through Environment," Working Papers 228, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    26. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March.
    27. 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.
    28. Orphanides, Athanasios, 2003. "Historical monetary policy analysis and the Taylor rule," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 983-1022, July.
    29. Trevor S. Breusch, 1986. "Hypothesis Testing in Unidentified Models," Review of Economic Studies, Oxford University Press, vol. 53(4), pages 635-651.
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