A consultant advises that a fund pays out $100,000 at the end of 5 years. Provided $12,000 is invested in the fund at the start of each year, beginning immediately and continuing up to and including the investment at the start of year 5, what is the annual interest on this investment? What would be the equivalent uniform annual amount if the money was invested at the end of each year instead of the beginning? Clearly show your working methods and calculations