math
posted by plz help on .
A house is rented for $2000 per quarter, with each quarter's rent payable in advance. If money is worth 2%, compounded quarterly, and the rent is deposited in an account, what is the future value of the rent for one year?

Assume 2% is per quarter (not per annum).
so R=1.02, n=4 quarters, and rent, P=$2000.
Future value
P(R+R^2+R^3+R^4)
= PR(1+R+R^2+R^3)
=PR (R^41)/(R1)
=2000*1.02*(1.02^41)/(1.021)
=$8408.08