1. nakeNU Mortgage company is offering a new mortgage instrument called the Stable Mortgage. This mortgage is composed of both a fixed and an adjustable-rate component. Mrs. Maria Perez is interested in financing a property, which costs $100,000, and is to be finance by Stable Home Mortgages (SHM) on the following terms:

(a.) The SHM requires a 5% down payment, costs the borrower 2 discount points, and allows 75% of the mortgage to be fixed and 25% to be adjustable. The fixed portion of the loan is for 30 years at an annual interest rate of 10.5%. Having neither an interest rate nor payment cap, the adjustable portion is also for 30 years with the following terms:

initial interest rate = 9%

Index = one-year treasuries

Payments reset each other

Margin = 2%

Interest rate cap = none

payment cap = none

The projected one-year U.S. Treasury-bill index, to which the ARM is tied, is as follows:

(BOY) 2 = 10%; (BOY) 3= 11%; (BOY) 4= 8%; (BOY) 5= 12%

Calculate Mrs. Perez's total monthly payments and end-of-year loan balances for the first five years. Calculate the lender's yield, assuming Mrs. Perez repays the loan after five years.

(B.) Repeat part (a) under the assumption that the initial interest is 9.5% and there is an annual interest rate cap on 1%