Should your economics department pay a premium for to attract female faculty?

Suppose the goal of your department or university is to increase the number female majors in economics, math, engineering and science. Consider these results:

This paper begins to shed light on this issue by exploiting a unique dataset of college students who have been randomly assigned to professors over a wide variety of mandatory standardized courses. ... Our results suggest that while professor gender has little impact on male students, it has a powerful effect on female students’ performance in math and science classes, their likelihood of taking future math and science courses, and their likelihood of graduating with a [science, technology, engineering, and math] degree. The estimates are largest for female students with very strong math skills, who are arguably the students who are most suited to careers in science. Indeed, the gender gap in course grades and STEM majors is eradicated when high performing female students’ introductory math and science classes are taught by female professors.