1. Suppose a potential home buyer is interested in taking a $500,000 mortgage loan that has a term of 30 years and a fixed mortgage rate of 5.25%. What is the monthly mortgage payment that the homeowner would need to make if this loan is fully amortizing?
A. $552.50
B. $2,761.02
2. You have taken out a $350,000, 3/1 ARM. The initial rate of 6.0% (annual) is locked in for 3 years. Calculate the outstanding balance on the loan after 3 years. The interest rate after the initial lock period is 6.5%. (Note: the term on this 3/1 ARM is 30 years)
A. $2,098.43
B. $2,183.95
C. $336,294.25
D. $347,901.57
3. You have taken out a $300,000, 5/1 ARM. The initial rate of 5.4% (annual) is locked in for 5 years. Calculate the payment after recasting the loan (i.e., after the reset) assuming the interest rate after the initial lock period is 8.0%. (Note: the term on this 5/1 ARM is 30 years)
A. $1,684.59
B. $1,784.79
C. $1,887.75
D. $2,138.02
4. You have taken out a $225,000, 3/1 ARM. The initial rate of 5.8% (annual) is locked in for 3 years and is expected to increase to 6.5% at the end of the lock period. Calculate the initial payment on the loan. (Note: the term on this 3/1 ARM is 30 years)
A. $1,320.19
B. $1,422.15
C. $1,874.45
D. $1959.99
5. Given the following information, calculate the Effective Borrowing Cost (EBC). Loan amount: $175,000, Term: 30 years, Interest rate: 7 %, Payment: $1,164.28, Discount points: 1, Origination fee: $3,250. Assume the loan is held until the end of year 10.