Question 2 (Total: 10 marks) Consider a scenario where money is deposited in Fund A at the beginning of each year, and then the interest earned in Fund A at the end of every year is then deposited in Fund B. The process is continue; where the interest earned in Fund B at the end of every year is deposited in Fund C; and the interest earned in Fund C at the end of every year is deposited in Fund D. The annual effective interests for Funds A, B, C and D are ii%, iz%, i3% and i4%, respectively. Suppose RM X is deposited in Fund A at the beginning of the first year, RM Xis deposited in Fund A at the beginning of the second year, RM X is deposited in Fund A at the beginning of the third year, and this continue until RM Xis deposited in Fund A at the beginning of the tenth year. Let S (in RM) be the total accumulation of all the money in Fund A, B, C and D at the end of the tenth year. (a) Let X = 3 and ik+1 = ik + 1 for k = 1, 2, 3. If ij = 10, determine S. (2 marks) Calculate i if S = 100,000. (2 marks) (b) Let X = 4 and ik+1 = ik- 3 for k = 1, 2, 3. (i) If ii = 10, determine S. (2 marks) (ii) Calculate i if S =1,800,000. (2 marks) (c) If ii, i2, iz and i4 are all equal, verify (using EXCEL), whether or not, that s={****(1 + i)10-4? I=0 (1 mark) (d) What is the condition should be imposed on i1, 12, 13 and 14 such that S> Ex**(1 + i)104 ? I=0 (1 mark) Question 2 (Total: 10 marks) Consider a scenario where money is deposited in Fund A at the beginning of each year, and then the interest earned in Fund A at the end of every year is then deposited in Fund B. The process is continue; where the interest earned in Fund B at the end of every year is deposited in Fund C; and the interest earned in Fund C at the end of every year is deposited in Fund D. The annual effective interests for Funds A, B, C and D are ii%, iz%, i3% and i4%, respectively. Suppose RM X is deposited in Fund A at the beginning of the first year, RM Xis deposited in Fund A at the beginning of the second year, RM X is deposited in Fund A at the beginning of the third year, and this continue until RM Xis deposited in Fund A at the beginning of the tenth year. Let S (in RM) be the total accumulation of all the money in Fund A, B, C and D at the end of the tenth year. (a) Let X = 3 and ik+1 = ik + 1 for k = 1, 2, 3. If ij = 10, determine S. (2 marks) Calculate i if S = 100,000. (2 marks) (b) Let X = 4 and ik+1 = ik- 3 for k = 1, 2, 3. (i) If ii = 10, determine S. (2 marks) (ii) Calculate i if S =1,800,000. (2 marks) (c) If ii, i2, iz and i4 are all equal, verify (using EXCEL), whether or not, that s={****(1 + i)10-4? I=0 (1 mark) (d) What is the condition should be imposed on i1, 12, 13 and 14 such that S> Ex**(1 + i)104 ? I=0 (1 mark)