(a) Mobius decides to buy an apartment that costs $9,000,000. He can afford to make a 40% down payment and the rest will be financed by a 20-year (monthly) mortgage. The interest charged by the bank on the loan is 6%, compounded monthly. (i) Calculate the size of Mobius' month-end mortgage payment? (4 marks) (5 marks) (ii) What is the outstanding loan balance after the 80th loan repayment? (iii) What is the size of the interest payment in the 81st loan repayment? (2 marks) (iv) What is the size of the principal repaid in the 81st loan repayment? (2 marks)