(a) The nominal rate of interest is 10% per annum convertible monthly, i.e. i(12)=10% (i) Calculate the equivalent effective rate of interest per annum, i. [2 marks] (ii) Calculate the equivalent nominal rate of interest per annum convertible quarterly, i(4). [2 marks] (b) The force of interest, (t), is a function of time t and is given by the following: (t)=0.06,0.090.01t,0.01t0.07,if0t