The force of interest, 8(t) is a function of time and at any time t, measured in years given by the formula: 0 10 8(t) = {0.09 -0.0031 i. ii. 111. Calculate the corresponding constant effective annual rate of interest for the period from t=0 to t = 10. [4 marks) Express the rate of interest in part (1) as a nominal rate of discount per annum convertible half-yearly [1 mark] Calculate the accumulation at time t = 15 of RM1500 invested at time t = 5. [3 marks) Calculate the corresponding constant effective annual rate of discount for the period t = 5 to t = 15. [1 mark] Calculate the present value at time t = 0 of a continuous payment stream payable at a rate of 10e0.01t from time t = 11 to time t = 15. [6 marks] iv. V. An investment fund is valued at RM120m on 1 January 2010 and RM140m on 1 January 2011. Immediately after the valuation on 1 January 2011, RM200m is paid into the fund. On 1 July 2012, the value of the fund is RM600m. i. Calculate the annual effective time-weighted rate of return over the two-and-a- half-year period. [3 marks] Explain why the money-weighted rate of return would be higher than the time- weighted rate of return. [2 marks]