a) An annuity which starts next month end will pay $1000 per month for 4 years. If the rate of interests is 9% per annum compounded continuously, determine the future value of the annuity. (8 marks) (b) MGMT2023 needs exactly $56,700 in 5 years. This can be achieved by depositing $49,600 today. Determine the effective rate at interest at which the funds must be invested. (4 marks) (c) If you had a choice between depositing an investment at Simple Interest or Compound Interest, which would you chose and why