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What Impulse Response Do Instrumental Variables Identify?

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  • Bonsoo Koo
  • Seojeong Lee
  • Myung Hwan Seo

Abstract

Macro shocks are often composites, yet overlooked in the impulse response analysis. When an instrumental variable (IV) is used to identify a composite shock, it violates the common IV exclusion restriction. We show that the Local Projection-IV estimand is represented as a weighted average of component-wise impulse responses but with possibly negative weights, which occur when the IV and shock components have opposite correlations. We further develop alternative (set-) identification strategies for the LP-IV based on sign restrictions or additional granular information. Our applications confirm the composite nature of monetary policy shocks and reveal a non-defense spending multiplier exceeding one.

Suggested Citation

  • Bonsoo Koo & Seojeong Lee & Myung Hwan Seo, 2022. "What Impulse Response Do Instrumental Variables Identify?," Papers 2208.11828, arXiv.org, revised Aug 2023.
    • Handle: RePEc:arx:papers:2208.11828
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