A young couple take out a loan of 200,000 from a bank, for their first house purchase. The loan is for a term of 25 years and is repayable monthly in arrears. Under the terms of the loan, the amount of each successive repayment instalment increases by 30 for the first 4 years and remains level at the amount of the 48th repayment thereafter. The bank charges an interest rate of 6% per annum nominal, convertible monthly. (i) Calculate the effective interest rate per month. [1 mark] (ii) Calculate the amount of the first monthly repayment instalment. [5 marks] (iii) Calculate the amount of loan outstanding after 10 years. [3 marks] (iv) Without doing any further calculations, explain how the amount calculated in (ii) would have altered if the interest rate had been 6% per annum effective. [2 marks] [Total 11 marks] A young couple take out a loan of 200,000 from a bank, for their first house purchase. The loan is for a term of 25 years and is repayable monthly in arrears. Under the terms of the loan, the amount of each successive repayment instalment increases by 30 for the first 4 years and remains level at the amount of the 48th repayment thereafter. The bank charges an interest rate of 6% per annum nominal, convertible monthly. (i) Calculate the effective interest rate per month. [1 mark] (ii) Calculate the amount of the first monthly repayment instalment. [5 marks] (iii) Calculate the amount of loan outstanding after 10 years. [3 marks] (iv) Without doing any further calculations, explain how the amount calculated in (ii) would have altered if the interest rate had been 6% per annum effective. [2 marks] [Total 11 marks]