The force of interest at time t, measured in years, is given by the formula: 0.04 0.003t20 t 5 T 0.010.03 5 t Calculate the present value of10,000 due at time t = 7 (a) (5 marks) (b) Calculate the constant annual rate of discount, which would lead to the same present value as that in (a) being obtained. (3 marks) (c) Calculate the present value at time t 0 of a continuous payment stream made at the rate of 100e0.02 i 0.0152 per annum, received from time t 5 to t 10. (7 marks) The force of interest at time t, measured in years, is given by the formula: 0.04 0.003t20 t 5 T 0.010.03 5 t Calculate the present value of10,000 due at time t = 7 (a) (5 marks) (b) Calculate the constant annual rate of discount, which would lead to the same present value as that in (a) being obtained. (3 marks) (c) Calculate the present value at time t 0 of a continuous payment stream made at the rate of 100e0.02 i 0.0152 per annum, received from time t 5 to t 10. (7 marks)