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AB This paper introduces an instrumental variables estimator for the clTcct of a binary treatment on the quanlilcs of potential outcomes. The quantile treatment effects (QTE) estimator accommodates exogenous covariatcs and reduces to quantile regression as a special case when treatment status is exogenous. Asymptotic distribution theory and computational methods are derived. QTE minimizes a picccwisc linear objective function for which a local minimum can be obtained using a modifieddoi:10.1017/s0951007900004617 fatcat:cdm4vvqx6ne6vihbu3zikddb2m