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Coolmath Algebra
Exponentials & Logarithms Lesson 3 - Compound Interest  (page 1 of 7)
---- This algebra lesson explains how compound interest works and where the formula comes from

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First, we need to understand how compound interest works.  It's how your money grows!  Getting this will help you understand the best way to save and invest.  Yes, it's math...  But, not the math of text books...  This is the real stuff, and it's very simple.

Let's invest $1.00 in an account that pays 12% interest each year...  and let's say that the account is compounded yearly.

Compounded yearly means that, at the end
of each year, they add the yearly interest (
12%)
to your account.  (That's
12% of the amount in
your account.)

Jan: $1.00 ... end of Dec: 12% , 1.00 + .12( 1.00 ) = $1.12
 

What if we make the same investment, but it's compounded semi-annually?

Compounded semi-annually (twice a year)
means that, at the end of June, they add
6%
of the amount in your account... and at the
end of December, they add another
6%.

Jan: $1.00 ... end of June: 6% , 1.00 + .06( 1.00 ) = $1.06 ... end of Dec: 6% , 1.06 + .06( 1.06 ) = $1.1236
 

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

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