This study examines the relationship between two dominant measures of teacher quality, teacher qualification and teacher effectiveness (measured by value-added modeling), in terms of their influence on students' short-term academic growth and long-term educational success (measured by bachelor's degree attainment). As students are exposed to teachers of varying quality over the course of their schooling, this study computes cumulative teacher quality indices that are able to more precisely estimate the impact of teacher quality. Notably, this study found that students who had been taught by a succession of high-performing and qualified teachers tend to have a positive relationship with students' short- and long-term educational success.