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Dynamic Identification Using System Projections on Instrumental Variables

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Abstract
We propose System Projections on Instrumental Variables (SP-IV) to estimate structural relationships using regressions of structural impulse responses obtained from local projections or vector autoregressions. Relative to IV with distributed lags of shocks as instruments, SP-IV imposes weaker exogeneity requirements and can improve efficiency and increase effective instrument strength relative to the typical 2SLS estimator. We describe inference under strong and weak identification. The SP-IV estimator outperforms other estimators of Phillips Curve parameters in simulations. We estimate the Phillips Curve implied by the main business cycle shock of Angeletos et al. (2020) and find that the impulse responses are consistent with weak but also relatively strong cyclical connections between inflation and unemployment.

Suggested Citation

  • Daniel J. Lewis & Karel Mertens, 2022. "Dynamic Identification Using System Projections on Instrumental Variables," Working Papers 2204, Federal Reserve Bank of Dallas, revised 03 Jul 2024.
    • Handle: RePEc:fip:feddwp:93894
    DOI: 10.24149/wp2204r3
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    1. Sophocles Mavroeidis & Mikkel Plagborg-Møller & James H. Stock, 2014. "Empirical Evidence on Inflation Expectations in the New Keynesian Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 124-188, March.
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    3. Dake Li & Mikkel Plagborg-Møller & Christian K. Wolf, 2021. "Local Projections vs. VARs: Lessons From Thousands of DGPs," Working Papers 2021-55, Princeton University. Economics Department..
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    More about this item

    Keywords

    Structural Equations; Instrumental Variables; Impulse Responses; Robust Inferences; Phillips Curve; Inflation Dynamics;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles

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