A couple purchased a home and signed a mortgage contract for $400,000 to be paid with half-yearly payments over a 25-year period. The interest rate applicable is j2 = 7.5% p.a. applicable for the first five years, with the condition that the interest rate will be increased by 9% every 5 years for the remaining term of the loan. Based on the given information, you are required to use Excel software to: (a) Calculate the half-yearly payment required for each five-year interval [10 marks] (b) Calculate the loan outstanding (outstanding balance) at the beginning of each year interval. [10 marks] (c) Prepare a loan amortization table for the final 12 half-years of the loan term. [10 marks] Important Note: 1. Present your solution in an Excel file, and cell reference your calculation