(5 marks) You are in the market for a home. You saved up $225,000 for a down payment and would like to buy a home for $1,200,000. You meet with the bank and the bank offers you a 30-year mortgage at 5.05% p.a., compounded quarterly. Monthly payments will be at the beginning of the month. 1. (3 marks) What will your monthly mortgage payments be? (Hint: Home Price = Down Payment + Mortgage Loan] 2. (1 mark) For your 150th mortgage payment, what is the principal repayment portion of this payment? 3. (1 mark) Suppose you win the lottery in exactly 12 years after you open your mortgage. You would like to pay back the mortgage loan in a lump-sum payment. How much will you need to repay in 12 years time, assuming there are no penalty fees? (Hint: what's the outstanding balance in 12 years?]