Problem 5-7

An ARM is made for $230,000 for 30 years with the following terms:

Initial interest rate = 7 percent Index = 1year Treasuries Payments reset each year Margin = 2 percent Interest rate cap = None Payment cap = 5 percent increase in any year Discount points = 2 percent Fully amortizing; however, negative amortization allowed if payment cap reached

Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOY) 2 = 7 percent; (BOY) 3 = 8.5 percent; (BOY) 4 = 9.5 percent; (BOY) 5 = 11 percent.

Required:

a. Compute the payments and loan balances for the ARM for the five-year period.

b. Compute the yield for the ARM for the five-year period.