(a) Each person awarded a fellowship under this subchapter shall receive a stipend of not more than $10,000 for each academic year of study. An additional amount of $500 for each such calendar year of study shall be paid to such person on account of each of his dependents.

(b) In addition to the amount paid to such person pursuant to subsection (a) there shall be paid to the institution of higher education at which each such person is pursuing his course of study, 100 per centum of the amount paid to such person less the amount paid on account of such person's dependents, to such person less any amount charged such person for tuition.