You plan to purchase a house for $450,000 in Stockton. You will make a down payment of 20% of the purchase price. That is, you will borrow 80% of the purchase price. The loan officer at a local bank has provided you with several options which you want to evaluate very carefully. The options are (i) 30-year fixed rate mortgage (FRM) at 4.4% per year with no discount point, (ii) 15-year fixed rate mortgage (FRM) at 4.0% per year with no discount point, (iii) biweekly mortgage at 4.4% per year (under this option, biweekly mortgage payment will be exactly one-half of the monthly payment associated with the 30-year FRM at 4.4% per year), and (iv) 7/1, 30-year adjustable rate mortgage (ARM) with no discount point. Under 7/1 ARM, the mortgage rate will be 2.5% per year for the first 7 years; but you expect the rate will go up to 7% during the 8th year.

(a). Please determine the monthly mortgage payments for the options (i) and (ii). If you plan to prepay the remaining balance after 10 years of payment under option (i), how much would you have to pay at that time? How about under option (ii)?

b). If you obtain 7/1, 30-year ARM under option (iv), what will be the monthly mortgage payment for the first 7 years? What will be your monthly payment during the 8^th year?

(c). Assume you have chosen option (i). If you wish to pay an additional $300 per month, how long (in years) would it take for you to pay off the mortgage?