math
posted by Sabrina on .
Jim wants to deposit money in an account to save for a new stereo system in two years. He wants to have $4,000 available at the time. The following rates are available to him:
6.2% simple interest
6.1% compounded annually
5.58% compounded semiannually
5.75% compounded quarterly
Which account(s) should he choose if he wants to invest the smallest amount of money now?

consider the amount of $1 at the end of 2 years
at 6.2% simple  1 + (1)(.062)(2) = $1.124
at 6.1 comp. annually  (1.061)^2 = $1.1257
at 5.58% com. semi  (1.0279)^4 = $1.11636
at 5.75% comp. quarterly  (1.014375)^8 = 1.12096
so what do you think?