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Simple vs. Compound Interest

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The following two examples of methods of computing interest on a principal sum illustrate the differences between simple interest and compound interest. Both examples use a $100 principal and 7% interest.

Simple Interest

The interest rate is applied only to the original principal amount in computing the amount of interest.

Year

 

Principal($)

 

Interest($)

 

Ending Balance($)

1

 

100.00

 

7.00

 

107.00

2

 

100.00

 

7.00

 

114.00

3

 

100.00

 

7.00

 

121.00

4

 

100.00

 

7.00

 

128.00

5

 

100.00

 

7.00

 

135.00

 

 

 

 

 

 

 

 

Total interest 35.00

 

 

 

 

 


Compound Interest

The interest rate is applied to the original principle and any accumulated interest.

Year

 

Principal($)

 

Interest($)

 

Ending Balance($)

1

 

100.00

 

7.00

 

107.00

2

 

107.00

 

7.49

 

114.49

3

 

114.49

 

8.01

 

122.50

4

 

122.50

 

8.58

 

131.08

5

 

131.08

 

9.18

 

140.26

 

 

 

 

 

 

 

 

Total interest 40.26

 

 

 

 

All other things being equal, compound interest has a larger effect as the time period increases and as the interest rate increases.

 

 

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