1. You would like to invest a certain amount today, half as much again as the starting amount at the end of year two and double the initial amount at the end of year four so that you are able to receive Shs 360,000/= at the beginning of year nine and a further ten installments occurring after each additional year from the time the initial amount was received, and each of these reflecting a growth of 12% per annum from the previous one. The rates of interest are: 6% per annum during the first three years; 7.5% per annum during the next three years; 5.5% in year seven; -4.5% in year eight; 0% in year nine; 5% in year ten; 14% in year eleven; 8% per annum in years twelve, thirteen, fourteen and fifteen; 0% in year sixteen; 6.5% per annum in year seventeen and all subsequent years. What is the size of each of the three investments?

1. You would like to invest a certain amount today, half as much again as the starting amount at the end of year two and double the initial amount at the end of year four so that you are able to receive Shs 360,000/= at the beginning of year nine and a further ten installments occurring after each additional year from the time the initial amount was received, and each of these reflecting a growth of 12% per annum from the previous one. The rates of interest are: 6% per annum during the first three years; 7.5% per annum during the next three years; 5.5% in year seven; -4.5% in year eight; 0% in year nine; 5% in year ten; 14% in year eleven; 8% per annum in years twelve, thirteen, fourteen and fifteen; 0% in year sixteen; 6.5% per annum in year seventeen and all subsequent years. What is the size of each of the three investments?