We develop and test the hypothesis that private information incorporated into stock prices affects the structure of corporate boards. Stock price informativeness may be a complement to board monitoring, because the information revealed by prices can be used by directors to monitor management. But price informativeness may also be a substitute for board monitoring, because more informative prices can trigger external monitoring mechanisms, such as takeovers. We find robust evidence for the substitution effect: Stock price informativeness, as measured by the probability of informed trading (PIN), is negatively related to board independence. Consistent with the model's predictions, this relationship is particularly strong for firms exposed to external governance mechanisms and internal governance mechanisms, and firms for which firm-specific knowledge is relatively unimportant. We address endogeneity concerns in a number of different ways and conclude that our results are unlikely to be driven by omitted variables or reverse causality. The results are also robust to using different measures of price informativeness and different proxies for board monitoring JEL classification: G32, G34 Keywords: Corporate boards, Independent directors, Price informativeness * We thank Carola Frydman, Jeffrey Gordon, Itay Goldstein, Antoine Faure-Grimaud, Pedro Santa-Clara, Antoinette Schoar, and Laura Starks; seminar participants at the City University of London, EBRD, LSE, Tilburg University, and University of Texas-Austin; and participants at the Lisbon-Sloan MIT corporate finance and governance workshop for helpful comments and suggestions.