Between 2005 and 2016, international enrollment in US higher education nearly doubled. I examine how trade shocks in education affect public universities' decision-making. I construct a shift-share instrument to exploit institutions' historical networks with different origins of international students, income growth, and exchange-rate fluctuations. Contrary to claims that US-born students are crowded out, I find that international students increase schools' funding via tuition payments, which leads to increased in-state enrollment and lower tuition prices. Schools also keep steady per-student spending and recruit more students with high math scores. Lastly, states allocate more appropriations to universities that attract fewer international students.
Recent immigration policies have created massive uncertainty for international students to obtain F-1 visas. Yet, before the COVID-19 pandemic, student visa applicants already faced an approximately 27 percent refusal rate that varies by time and region. Using data on the universe of SAT takers between 2004 and 2015 matched with college enrollment records, we examine how the anticipated F-1 visa restrictiveness influences US undergraduate enrollment outcomes of international students. Using an instrumental variables approach, we find that a higher anticipated F-1 student visa refusal rate decreases the number of international SAT takers, decreases the probability of sending SAT scores to US colleges, and decreases international student enrollment in the US. The decreases are larger among international students with higher measured academic achievement. We also document academic achievement of international students and show that over 40 percent of high-scoring international SAT takers do not pursue US college education.