Math
posted by George .
compound and interest Using the below values please calculate the amount accumulated (future value) *Initial principal=$2000 *Interest Rate=9% *Number of years 7 *Monthly compounding

For monthly compounding (as opposed to annual), we need to calculate two things:
1. the monthly compounding interest:
annual interest/12=9%/12=0.75%=0.0075
2. the number of periods to cover 7 years
= 7*12 =84 (months)
The future value
= Principal * (1+interest)^periods
= 2000*1.0075^84
= $3746.40
(compare to simple interest
2000*(1+0.09*7)= $3260 < $3746, OK)