You started your new job today and you plan to buy a new house in five years. The house is expected to cost $370,000 and you plan to put a 20% down payment and obtain a 25-year mortgage at 6.5% APR, compounded semi-annually for the rest. You decide to start saving for the down payment today. a) Suppose you can invest your monthly savings at an APR of 4%, compounded monthly. How much must you save at the end of each month in order to have enough for the 20% down payment? (4 marks) b) Assuming that monthly mortgage payments begin in one month after purchasing your house, what will each payment be? (7 marks) I c) How much interest will you pay (in dollars) over the life of the loan? (2 marks) d) How much is still owed to the bank at the end of year 20? (2 marks)