; and (ii) more than $8,000. (2) Ratable reduction adjustments If the sum of the base self-help need amounts of all eligible institutions for an award year as determined under paragraph (1) exceeds ½ of the annual loan authority under subsection (b) for such award year, the Secretary shall ratably reduce the base self-help need amounts of all eligible institutions until the sum of such amounts is equal to the amount that is ½ of the annual loan authority under subsection (b). (d) Low tuition incentive amount (1) In general For purposes of subsection (b)(1)(B), the Secretary shall determine the low tuition incentive amount for each participating institution for each award year, by calculating for each such institution the sum of— (A) the total amount, if any (but not less than zero), by which— (i) the average tuition and required fees for the institution’s sector for the second preceding award year; exceeds (ii) the tuition and required fees for the second preceding award year for each undergraduate and graduate student attending the institution who had financial need (as determined under part F); plus (B) the total amount, if any (but not less than zero), by which— (i) the total amount for the second preceding award year of non-Federal grant aid provided to meet the financial need of all undergraduate students attending the institution (as determined without regard to financial aid not received under this title); exceeds (ii) the total amount for the second preceding award year, if any, by which— (I) the tuition and required fees of each such student with such financial need