Causal State-Dependent Local Projections

Joel David, Raffaella Giacomini, Xiyu Jiao and Weining Wang

No 21934, CEPR Discussion Papers from Centre for Economic Policy Research

Abstract: State-dependent local projections (LPs) are widely used to study how causal effects vary as a function of economic states, but shock exogeneity alone does not identify this response function. We show that identification follows when the underlying conditional mean is linear in the shock with a state-dependent coefficient, a condition satisfied in canonical micro-macro environments, including first-order perturbation solutions of heterogeneous-agent and macro-finance models. Even then, standard linear-interaction LPs generally recover only a projection of the response function, motivating LPs with nonparametric state dependence. We develop a sieve estimator and establish pointwise and uniform inference for micro-macro panels, where a distinctive challenge is that the estimator can converge at different rates across the state space. Applied to firm investment, the method uncovers a hump-shaped response to monetary policy shocks and shows that standard linear-interaction LPs substantially understate the aggregate role of financial heterogeneity.

Keywords: Identification (search for similar items in EconPapers)
JEL-codes: C12 C14 C23 E32 (search for similar items in EconPapers)
Date: 2026-09
References: Add references at CitEc
Citations:

Downloads: (external link)
https://cepr.org/publications/DP21934 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cpr:ceprdp:21934

Ordering information: This working paper can be ordered from
https://cepr.org/publications/DP21934

Access Statistics for this paper

More papers in CEPR Discussion Papers from Centre for Economic Policy Research 33 Great Sutton Street, London EC1V 0DX, UK.
Bibliographic data for series maintained by CEPR ().