How do I calculate the accumulated payments from an annuity at yr

[jmuirman]

For example to illustrate future payments of an annuity where the
first monthly payment is $2,500 compounded annually by 3% -- I know
how to calculate what the payment will look like say in the 10th year
which is $40,317, with this formula :

P = future value
C = initial deposit
r = interest rate (expressed as a fraction: eg. 0.06)
n = # of times per year interest is compounded
t = number of years invested

But I can't figure out how to calculate the total amount paid in the
10th year which is $425,761 - however I got the answer by building a
table and summing the yearly payments as follows - I want a formula that will give me the answer

$2,500 3% $30,000 $30,000
$2,575 $30,900 $60,900
$2,652 $31,827 $125,509
$2,732 $32,782 $159,274
$2,814 $33,765 $194,052
$2,898 $34,778 $229,874
$2,985 $35,822 $266,770
$3,075 $36,896 $304,773
$3,167 $38,003 $343,916
$3,262 $39,143 $384,234
$3,360 $40,317 $425,761

Thanks,

John

 

[Gary's Student]

While the following is not exactly what you need, it can be modified to meet
your needs:

http://office.microsoft.com/en-us/templates/TC010175321033.aspx?CategoryID=CT011377161033

 

[jmuirman]

Thanks, but what I'm looking for is the formula to calculate the cumulative
payments in a particular year. With the variables I have: initial pymt of
$2,500, compounded at 3%, annually, for 10 years, I need a formula that will
return this answer -- $425,761 which corresponds to the last line of my table
-- In other words, I don't want to have to use the table to find this answer
- I want an equation to return this answer -

Thanks,

John