Jakob took out a 30-year home loan of $650,000. He made equal month-end repayments at the interest rate of 4.8% p.a. compounded monthly.

a) How much should Jakob repay at the end of each month to pay off the loan on time? Round your answer to the nearest cent. (3 marks)

b) Calculate the loan outstanding balance 15 years after Jakob took out the loan using the retrospective method. Round your answer to the nearest cent. (3 marks)

c) Calculate the total interest paid in the 16th year. Round your answer to the nearest cent. (3 marks)

d) Calculate the total cost of the loan. Round your answer to the nearest cent. (1 mark)