The force of interest S(t) at time t is given by S(t) 10.04+0.0031 for Octs5 0.01 + 0.03t for set so 0.00 for t>a a) Count the present value at time t o for an investment worth $1000 that will be received at time tsoo Count the annual nominal rate of discount Convertible quarterly that gives the same present value as in part (a). Get the present value at time t=0 for the continuous payment at rate 100eoot for time t= 10 until t=18. c The force of interest S(t) at time t is given by S(t) 10.04+0.0031 for Octs5 0.01 + 0.03t for set so 0.00 for t>a a) Count the present value at time t o for an investment worth $1000 that will be received at time tsoo Count the annual nominal rate of discount Convertible quarterly that gives the same present value as in part (a). Get the present value at time t=0 for the continuous payment at rate 100eoot for time t= 10 until t=18. c