Increasing federal student aid leads colleges to raise tuitions, offsetting the benefit to students, according to new research published by economists with the Federal Reserve Bank of New York.

The new analysis finds that the majority of an increase in subsidized student loans or grants translates to higher tuitions, and that at least in the short run, added loans do not boost enrollment.

"[W]hile one would expect a student aid expansion to benefit recipients, the subsidized loan expansion could have been to their detriment, on net, because of the sizable and offsetting tuition effect," write David Lucca and Karen Shen of the New York Fed and Taylor Nadauld of Brigham Young University.

The study is evidence in favor of the so-called "Bennett Hypothesis," formulated by Reagan Department of Education Secretary William Bennett, that increases in government student aid allow universities to "blithely" increase tuition without losing students. It is one of the few such data points in the ongoing debate over federal policy and the $1.1 trillion plus in aggregate U.S. student debt that has accumulated as tuitions have soared.

The researchers find specifically that a dollar of added Pell Grants or an added dollar of subsidized direct loans translate to 55 cents and 65 cents in higher tuition, respectively.

They arrive at that estimate by measuring differences in tuition changes at schools that had more or fewer students able to take advantage of increased availability of student loans, using data from the Department of Education.

Not only did tuitions rise when Congress increased aid availability, but for-profit colleges saw their stocks jump, the researchers found.

The previous evidence on the question of whether more federal aid was soaked up by higher tuitions was thin or mixed. A few papers, however, have found similar results.

A 2012 paper by George Washington University economist Stephanie Riegg Cellini and Harvard economist Claudia Goldin found that greater student aid mostly translated to tuition hikes at for-profit schools. A 2013 National Bureau of Economic Research working paper by four economists found that added federal student aid could cause some schools to reduce institutional aid.