You desire to receive Shs 200,000/= at the beginning of year nine and a further four annual amounts, each being 17% more than the previous amount and leave a balance of Shs 600,000/= after the final receipt. The rates of interest are 8% in years 1 and 2; -4% in years 3 and 5; 9% in year 6; 10% in year 7; -9% in year 8; 14% in years 9 to 11; and 11% per annum thereafter. a) How much do you need to invest now and at the beginning of years 3, 5 and 6 if the amounts increase by 21% from the first amount? b) How much would you need to invest now to achieve the same financial objective?