a) You won a competition which will pay you 1000 a year for 20 years. You are to receive your first payment a year from now. Assuming a 3% interest rate calculate the present value of your prize. (5 marks) b) The organisers of the competition have decided to give you the first payment of 1000 immediately (instead of in a year's time, as mentioned above). The total number of payments will be still 20. Assuming the same interest rate (3%), what will be the current value of your prize? Would you complain to the competition organisers about the payment date change