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Luckily, yes, there
IS a formula for finding the value of annuity investments!
Note: We are
making our investments at the beginning of each
period (month
in most cases.) The typical annuity formula that
appears in
some Algebra books is for when the investment is
made at the
end of the period. This causes the first month's
interest to
be lost and isn't representative of how most people
invest.
Let's invest
$100
each month at 12%*.
How much will we have in one year?
* If we invest each month, we need to assume that the account
will be compounded monthly to
use this formula.
Again, we'll use the
"growth factor" of money.
investment amount
=
$100
growth factor
=
$1.01
interest per period
=
.01
number of periods
=
12
Here's the formula:

With our numbers:

Hey, it works!
We got the same amount that we got doing it the long month-by-month
way.
Continued on the
next
page
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