Answer by
john11 (617)
Interest earned is compounded over a unit of time. If you earn 12% interest per year, the interest earned in 5 years is principle*1.12*1.12*1.12*1.12*1.12-principle = principle*((1+.12)^5-1) = principle*(1.76234168-1) = 0.76*principle. So you earned that much in 5 years. If the interest is paid every month instead and you wait fives year (60 months), then you get principle*((1+.12/12)^(12*5)-1) = 0.82*principle (better).