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Dynamic Identification Using System Projections and Instrumental Variables

Author

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  • Lewis, Daniel
  • Mertens, Karel

Abstract

We propose System Projections on Instrumental Variables (SP-IV) to estimate dynamic structural relationships using impulse responses obtained from local projections or vector autoregressions. SP-IV replaces lag sequences of instruments in traditional IV with lead sequences of endogenous variables. By allowing the inclusion of lagged variables as controls, SP-IV weakens exogeneity requirements and can improve efficiency and effective instrument strength relative to 2SLS. We provide inference procedures under strong and weak identification, and show that SP-IV outperforms conventional IV 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 response estimates are consistent with weak but also relatively strong cyclical connections between inflation and unemployment.

Suggested Citation

  • Lewis, Daniel & Mertens, Karel, 2022. "Dynamic Identification Using System Projections and Instrumental Variables," CEPR Discussion Papers 17153, Centre for Economic Policy Research.
  • Handle: RePEc:cpr:ceprdp:17153
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    Cited by:

    1. is not listed on IDEAS
    2. Andrew J. Fieldhouse & Karel Mertens, 2023. "The Returns to Government R&D: Evidence from U.S. Appropriations Shocks," Working Papers 2305, Federal Reserve Bank of Dallas, revised 21 Nov 2024.
    3. Andrew J. Fieldhouse & Karel Mertens, 2026. "The Social Returns to Public R&D," Entrepreneurship and Innovation Policy and the Economy, University of Chicago Press, vol. 5(1), pages 9-39.

    More about this item

    Keywords

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    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • 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

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