1. Your local lender offers you a fixed-rate mortgage with the following terms: $160,000 at 4.25% for 30 years, monthly payments. The lender will charge you two discount points and the loan has a 3% prepayment penalty.
A. What is the annual percentage rate (APR) of the loan?
B. How many points are required to yield an APR of 4.625%?
2. Suppose you take a fixed-rate mortgage for $180,000 at 5% for 30 years, monthly payments.
A. How much of the payment is interest for month 100?
B. How much interest do you pay in the first six years?