| Financial Education
How Money Grows
Making regular payments to yourself, even in small amounts, can add up over
time. The amount by which your money grows depends on the interest earned
and the amount of time you leave it in the account.
Here's an example of your money not growing:
If you have $1,000 stashed away under your mattress for 1 year, it will
still be $1,000 at the end of the year. Your mattress is not paying you interest
for keeping your money.
Now let's look at interest and the power of compounding. This is how your
money can grow.
When you compound interest, you earn money on the interest you leave in
your account. Interest can be compounded daily, monthly, quarterly or annually.
Not all savings accounts are created equal!
Compound Interest Exercise:
$1,000 @ 5% compounded annually earns $50 of interest at the end of one
year. (You made more than if you kept it under your mattress!)
If you deposit $1,000 in an account that has daily compounding, at the end
of the first day you would have $1,000.14. ($1,000 @ 5% divided by 365 days)
The next day, the interest is calculated based on the entire amount of your
original deposit of $1,000 PLUS the previously earned interest -- $1,000.14
rather than just $1,000.
By the end of one year you would have $1,051.27. The extra $1.27 does not
seem like much at this point. However, the table below shows the difference
it makes over time.
| Interest Type |
5 Years |
10 Years |
| No Interest |
$1,000 |
$1,000 |
| Annual Compounding at 5% |
$1,276 |
$1,629 |
| Monthly Compounding at 5% |
$1,283 |
$1,647 |
| Daily Compounding at 5% |
$1,284 |
$1,649 |
This table uses the same $1,000 to show how your money grows faster the more often
interest is compounded and the longer it stays in the account. The 14 cents adds
up over time!
The table below shows that even small amounts of savings add up. Look
what happens when you save just $1 a day.
| Years |
No Interest |
5% Daily Compounding |
| Year 1 |
$365 |
$374 |
| Year 5 |
$1,825 |
$2,073 |
| Year 10 |
$3,650 |
$4,735 |
| Year 30 |
$10,950 |
$25,415 |
At the end of year 1, you would make an extra $9 compounding interest. The
real power of compounding shows at the end of 30 years, you would make
an extra $14,465!
The table below shows what happens to your money when you save just $5 a
day. Look at the difference when your money is invested in an account that
compounds interest daily
| Years |
No Interest |
5% Daily Compounding |
| Year 1 |
$1,825 |
$1,871 |
| Year 5 |
$9,125 |
$10,366 |
| Year 10 |
$18,250 |
$23,677 |
| Year 30 |
$54,750 |
$127,077 |
The table shows a difference of only $46 at the end of the first year. However,
compounding daily after 30 years show a difference of $72,327!
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