(a) (b) (c) Calculate the present value of money you should invest today at the compound interest rate of 10% to receive the fixed amount of BND 1000 at the end of each year for 5 years. [7 marks] Calculate the present value of total money you should invest today in part (a) for 5 years. [2 marks] Apply the finite Laplace transform to predict the present value of total money you should invest today in part (a). [7 marks] Let C(t) represents the total amount of present value of your money at time t to be invested today at the compound interest rate of 10% per year, where C(t) = 20012. Apply the Laplace transforms to predict: (i) the total amount of the present value of your money after 25 years, 50 years, 75 years and 100 year? [8 marks] (ii) the total amount of the present value of your money when t700 years? [2 marks] (d)