Question

Five years ago Lilian took out a 30 year 5/1 Hybrid ARM loan with monthly payments. The initial rate on this loan is 4% and it resets to LIBOR plus a margin of 150bps. Suppose the remaining balance after five years of payments is $291,861 and the LIBOR rate at the first reset if 4%. What will be Lilian's new monthly payment during 6th year of the loan? Express your answer as a number rounded to the nearest cent (e.g. if you find that the payment is $600.0697, then write 600.07).

Answer 1

In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.

The amount of the fixed payment is determined by

M = Pi/[q(1-[1+(i/q)]^-nq)].

BALANCE SOLUTION IS CONTINUED IN THE IMAGE.