# Compound Interest Formula: Simple Interest And Compound Interest by williamava123

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```									  Compound Interest Formula: Simple Interest
And Compound Interest
Before there was the compound interest formula, of course, the principle of compound interest
was created first. It will probably get you to thinking on where the idea itself originated. All I
know is that it original on basic interest itself. Mere interest is today known as simple interest.
Yes, it also has simple interest formula, which is simple than the compound interest formula
that we see today.

Simple Interest Formula And Concept

Simple interest is not as hard to understand like the compound interest. It is mainly an interest
that is based on the principal amount. Let me give you an example of the simple interest. If I
will be depositing four thousand dollars in a bank with a yearly rate of eight percent, what do
you think will be the outcome in a four-year time?

The simple interest formula to get the answer

A = P*R*T

Wherein:

   A is the total outcome of interest.
   P is the principal amount.
   R is the annual interest rate. It should be in decimal form when computing for the answer.
   T is the time frame given.

A = P*R*T

A = (4000)(0.08)(4)

A = \$1280.00

Compound Interest Formula And Concept

On the other hand, we have the compound interest formula with the compound interest
concept. Since the simple interest does not get you that much profit, the compound interest
shall save your investment. The compound interest formula or compound interest itself has the
concept of gaining interest from interest itself that is added to the principal amount, as well.
This makes the profits doubled and better. What happens is after gaining your first interest; it
will be added to the principal amount that will result to your new principal amount. As the cycle
continues, your principal amount gets larger resulting to more interests and profits. Using the
simple interest formula, let me show the step by step way on how the compound interest
formula works.

1. Using the same scenario as the one stated above, after a year with compound interest, this is
what will happen to your deposited amount.A = (4000)(0.08)(1)A = \$320.00

Therefore, your new principal amount is \$320.00 plus \$4000.00 which is \$4320.00

2. After the second year, using the simple interest formulaA = (4320)(0.08)(1)A = \$345.60

Therefore, your new principal amount is \$345.60 plus \$4320.00 which is \$4665.60

3. After the third year, using the simple interest formulaA = (4665.60)(0.08)(1)A = \$373.248

Therefore, your new principal amount is \$373.248 plus \$4665.60 which is \$5038.848

4. After the fourth year, using the simple interest formulaA = (5038.848)(0.08)(1)A = \$403.10784

Therefore, your new principal amount is \$403.10784 plus \$5038.848 which is
\$5441.95584

If you are curious, your total interest earned is \$5441.95584 minus \$4000 which is \$441.95584
in total

Using a compound interest formula, you will easily the amount of \$5441.95584.

If we will compare the simple interest and the compound
interest we will have a result like this: \$1441.96 (For
compound interest) Minus \$1280.00 (For simple interest)

A total of \$161.96 is their difference in money. Now, that is big!

The conclusion is probably obvious by now; the compound interest concept is way better than
the simple interest. The compound interest using both compound interest formula and simple
interest formula, both tells that the compound interest can provide more interests than the
simple interest. Even with compound interest formula and simple interest formula, the
compound interest formula is better than going manual all the way like what we did. With the
compound interest formula, you don’t have to compute, year by year. All you have to do is get
the right compound interest formula and get the results. Today, a compound interest formula
in calculator form is available to make computing easier and more convenient for us all.

More of compound interest formula and compound interest calculator, visit William Ava’s Blog