Thread: present value of an ordinary simple annuity

Calculate the future value of an ordinary annuity consisting of quarterly payments of $1200 for five years if the payments earn 10% compounded quarterly for the first 2 years and 9% compounded quarterly for the last 3 years.

first 2 yrs

FV = PMT (((1+ i )^n - 1 )/i )

FV = 1200 ((( 1 + 0.025)^8 - 1 ) /0.025)

i = 0.10/4 = 0.025

Fv = 10483.33

last 3 yrs

FV = 1200 ((( 1 + 0.0225 )^12 - 1 )/0.0225 )

fv = 16 322.666

do i total them at the end ? if so the final answer is suppose to be
30 014.43

can't figure out where i went wrong

The end of 2 years value you got: Fv = 10483.33
is correct; but you need that amount's FV end of next 3 years:
10483.33(1.0225^12)
Calculate that, and add to your other FV, and you'll be ok.