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We nest an extended two-way fixed effect (ETWFE) estimator for staggered difference-in-differences within the structural gravity model. To test the ETWFE, we estimate the effects of regional trade agreements (RTAs). The results suggest that RTA estimates in the current gravity literature may be biased downward (by more than 50 percent in our sample). Sensitivity analyses confirm the robustness of our main findings and demonstrate the applicability of our methods across settings. We expect the ETWFE methods to have significant implications for estimates of other policy variables in the trade literature and for gravity regressions on migration and foreign direct investment. (JEL C23, F14, F15, F16, J82)
Nagengast et al. (Tue,) studied this question.