(k) Calculate the present value at time 0 of a 10-year continuous annuity with a payment rate of $300 per annum under an effective annual rate of 1.9804%. (4 marks) (1) Given an effective annual rate of 4%, calculate the present value at time 0 of a 20-year arithmetically increasing annuity immediate whereby the first annual payment is $6,000 and subsequent annual increment is $500. (3 marks) (m) Consider a 25-year annuity immediate with a payment amount of (26 t)2 at the end of year t. For instance, the payment amount at the end of year 6 is $400. Calculate its present value at time 0 given an effective annual rate of 4%. (6 marks) (k) Calculate the present value at time 0 of a 10-year continuous annuity with a payment rate of $300 per annum under an effective annual rate of 1.9804%. (4 marks) (1) Given an effective annual rate of 4%, calculate the present value at time 0 of a 20-year arithmetically increasing annuity immediate whereby the first annual payment is $6,000 and subsequent annual increment is $500. (3 marks) (m) Consider a 25-year annuity immediate with a payment amount of (26 t)2 at the end of year t. For instance, the payment amount at the end of year 6 is $400. Calculate its present value at time 0 given an effective annual rate of 4%. (6 marks)