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Taylor rule estimation by OLS

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  • Carvalho, Carlos
  • Nechio, Fernanda
  • Tristão, Tiago

Abstract

We argue for Ordinary Least Squares (OLS) estimation of Taylor rules despite an endogeneity bias. To that end, we show analytically in the three-equation New Keynesian model that the OLS bias is proportional to the fraction of the variance of regressors due to monetary shocks. Using simulations, we show this relationship also holds in a quantitative model of the U.S. economy. Since monetary shocks explain only a small fraction of the variance of typical Taylor rule regressors, the bias tends to be small. Estimating a standard Taylor rule using U.S. data, we find quite similar OLS and Instrumental Variables estimates.

Suggested Citation

  • Carvalho, Carlos & Nechio, Fernanda & Tristão, Tiago, 2021. "Taylor rule estimation by OLS," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 140-154.
    • Handle: RePEc:eee:moneco:v:124:y:2021:i:c:p:140-154
    DOI: 10.1016/j.jmoneco.2021.10.010
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    6. Donato Masciandaro, 2023. "How Elastic and Predictable Money Should Be: Flexible Monetary Policy Rules from the Great Moderation to the New Normal Times (1993-2023)," BAFFI CAREFIN Working Papers 23196, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
    7. Bordo, Michael & Istrefi, Klodiana, 2023. "Perceived FOMC: The making of hawks, doves and swingers," Journal of Monetary Economics, Elsevier, vol. 136(C), pages 125-143.
    8. Kwok Ping Tsang & Zichao Yang, 2023. "Agree to Disagree: Measuring Hidden Dissent in FOMC Meetings," Papers 2308.10131, arXiv.org, revised Nov 2024.
    9. Xiekui Zhang & Peiyao Liu & Hongfei Zhu, 2022. "The Impact of Industrial Intelligence on Energy Intensity: Evidence from China," Sustainability, MDPI, vol. 14(12), pages 1-16, June.
    10. Makram El-Shagi & Kiril Tochkov, 2024. "Regional Effects of Monetary Policy in China," CFDS Discussion Paper Series 2024/1, Center for Financial Development and Stability at Henan University, Kaifeng, Henan, China.
    11. Gokan, Yoichi & Turnovsky, Stephen J., 2023. "Taylor rules: Consequences for wealth and income inequality," Journal of Macroeconomics, Elsevier, vol. 77(C).
    12. Foroni, Claudia & Furlanetto, Francesco, 2022. "Explaining Deviations from Okun's Law," CEPR Discussion Papers 17369, C.E.P.R. Discussion Papers.
    13. Knut Are Aastveit & Jamie Cross & Francesco Furlanetto & Herman K. Van Dijk, 2024. "Taylor Rules with Endogenous Regimes," Tinbergen Institute Discussion Papers 24-030/III, Tinbergen Institute.
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    18. Marwil J. Dávila-Fernández & Germana Giombini & Edgar J. Sánchez-Carrera, 2023. "Climateflation and monetary policy in an environmental OLG growth model," Department of Economics University of Siena 905, Department of Economics, University of Siena.
    19. Christina Anderl & Guglielmo Maria Caporale, 2024. "Time-varying parameters in monetary policy rules: a GMM approach," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 51(9), pages 148-176, January.
    20. Alex Hsu & Francisco Palomino & Liang Qian, 2023. "Gone with the Vol: A Decline in Asset Return Predictability During the Great Moderation," Management Science, INFORMS, vol. 69(5), pages 3025-3047, May.
    21. Hüpper, Florian & Kempa, Bernd, 2023. "Inflation targeting and inflation communication of the Federal Reserve: Words and deeds," Journal of Macroeconomics, Elsevier, vol. 75(C).
    22. Curi, Claudia & Murgia, Lucia Milena, 2023. "Forecast Targeting and Financial Stability: Evidence from the European Central Bank and Bank of England," Finance Research Letters, Elsevier, vol. 51(C).

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    More about this item

    Keywords

    Taylor rule; OLS; GMM; Endogeneity bias; Weak instruments; New Keynesian models;
    All these keywords.

    JEL classification:

    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • 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
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications

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