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Bias in Local Projections

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Abstract

Local projections (LPs) are a popular tool in macroeconomic research. We show that LPs are often used with very small samples in the time dimension. Consequently, LP point estimates can be severely biased. We derive simple expressions for this bias and propose a way to bias-correct LPs. Small sample bias can also lead autocorrelation-robust standard errors to dramatically understate sampling uncertainty. We argue they should be avoided in LPs like the ones we study. Using identified monetary policy shocks, we demonstrate that the bias in point estimates can be economically meaningful and the bias in standard errors can affect inference.

Suggested Citation

  • Edward P. Herbst & Benjamin K. Johannsen, 2020. "Bias in Local Projections," Finance and Economics Discussion Series 2020-010r1, Board of Governors of the Federal Reserve System (U.S.), revised 04 Jan 2021.
    • Handle: RePEc:fip:fedgfe:2020-10
    DOI: 10.17016/FEDS.2020.010r1
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    1. Jordà, Òscar & Schularick, Moritz & Taylor, Alan M., 2015. "Betting the house," Journal of International Economics, Elsevier, vol. 96(S1), pages 2-18.
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    4. Coibion, Olivier & Gorodnichenko, Yuriy & Kueng, Lorenz & Silvia, John, 2017. "Innocent Bystanders? Monetary policy and inequality," Journal of Monetary Economics, Elsevier, vol. 88(C), pages 70-89.
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    7. Lutz Kilian & Yun Jung Kim, 2011. "How Reliable Are Local Projection Estimators of Impulse Responses?," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1460-1466, November.
    8. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
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    Cited by:

    1. Mehdi El Herradi & Aurélien Leroy, 2020. "Monetary policy and the top one percent: Evidence from a century of modern economic history," Working Papers halshs-03080162, HAL.

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    More about this item

    Keywords

    Local projections; Bias;

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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