Rich invests $20,000 at 3.25% compounded semiannually. Joe invests $20,000 at 3.25% compounded monthly. Dan invests at 3.255 compounded continuously. Who will have more money after 20 years?
Rich = 20000(1.01625)^40 40 time periods of 1.625% interest
Joe = 20000(1.0027083)^240 240 time periods of .27083% interest
Dan = 20000 e^(.0325 x 20)
If you calculate these you find that Dan is the winner !