Question 1 (10 marks) You are the winner of a lottery that pays a monthly cash payment of $1000 to you for the next 5 years. You decide that the funds should be paid directly into a cash management trust held with an investment bank. The account is expected to earn 4.5 per cent per annum, compounded monthly. What will be the accumulated value of the cash management trust at the end of the 5 years? Show your working, (10 marks)