Discount Point: normally paid at closing and generally calculated to be equivalent to 1% of the total loan amount, discount points are paid to reduce the interest rate on a loan. In an ARM with an initial rate discount, the lender gives up a number of percentage points in interest to give you a lower rate and lower payments for part of the mortgage term (usually for one year or less). After the discount period, the ARM rate will probably go up depending on the index rate.