A Sufficient Statistics Approach for Aggregating Firm-Level Experiments

Working Paper: CEPR ID: DP12592

Authors: David Sraer; David Thesmar

Abstract: We consider a dynamic economy populated by heterogeneous firms subject to generic capital frictions: adjustment costs, taxes and financing constraints. A random subset of firms in this economy receives an empirical "treatment", which modifies the parameters governing these frictions. An econometrician observes the firm-level response to this treatment, and wishes to calculate how macroeconomic outcomes would change if all firms in the economy were treated. Our paper proposes a simple methodology to estimate this aggregate counterfactual using firm-level evidence only. Our approach takes general equilibrium effects into account, requires neither a structural estimation nor a precise knowledge on the exact nature of the experiment and can be implemented using simple moments of the distribution of revenue-to-capital ratios. We provide a set of sufficient conditions under which these formulas are valid and investigate the robustness of our approach to multiple variations in the aggregation framework.

Keywords: Firm-level experiments; General equilibrium; Policy evaluation

JEL Codes: D2; E2; G3


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Treatment effects on distribution of revenue-to-capital ratios (D39)Aggregate counterfactual for the entire economy (E10)
Increase in labor demand from growth-enhancing policy (J23)Equilibrium wages (J31)
Equilibrium wages (J31)Overall productivity (E23)
Distribution of revenue-to-capital ratios (D33)Market equilibrium (D53)
Revenue-to-capital ratios measured in an experiment (D29)Valid counterfactuals for broader policy applications (D78)
Treatment (C22)Modification of parameters governing capital frictions, adjustment costs, and financing constraints (D24)
Modification of parameters governing capital frictions, adjustment costs, and financing constraints (D24)Firm-level responses (D21)

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