You want to purchase a house that costs $325,000. You have a down payment of $65,000 and will take out a mortgage to make up the difference. The AMC Mortgage Corporation offers a quoted interest rate of 3.99 percent annually and you decide on a 30-year amortization period, with monthly payments.

(a) What is the amount of each monthly payment?

(b) You plan to pay off the mortgage loan at the end of fifteen years. How much would you need to come up with in fifteen years? How much interest would you have paid over the fifteen years?

(c) As an alternative to making monthly payments as in part (a), you are considering making weekly payments. Assuming that there are 52 weeks per year, how many years would it take to pay off the mortgage? How much would you have saved in interest?