Question 2 (10 marks) The parts a) and b) below are independent questions which do not relate to each other. a) Mia took out a 30-year home loan. The interest rate was 3.6% p.a. compounded monthly. She made equal monthly repayments starting from the end of the first month. At the end of year 13, Mia still owed the bank $560,000. The interest rate then increased to 4.2% p.a. compounded monthly. Mia still needs to pay off the loan on time. Calculate the monthly repayment Mia needs to make after the interest rate change. Round your answer to the nearest cent. (3 marks)