Compound Interest Calculator

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Compound interest calculation

So The amount after n years [An] is equal to the initial amount [A0] times one plus the annual interest rate [r] divided by the number of compounding periods in a year m raised to the power of [m] times [n].

compound interest formula

An is the amount after n years (future value).

A0 is the initial amount (present value).

r is the nominal annual interest rate.

m is the number of compounding periods in one year.

n is the number of years.

Example #1:

Calculate the future value after 10 years present value of $4,000 with annual interest of 4%.

Solution:

A0 = $4,000

r = 4% = 4/100 = 0.04

m = 1

n = 10

A10 = $4,000·(1+0.04/1)(1·10) = $5,920.98

Example #2:

Calculate the future value after 10 years present value of $6,000 with annual interest of 5%.

Solution:

A0 = $6,000

r = 5% = 5/100 = 0.05

m = 1

n = 10

A10 = $6,000·(1+0.05/1)(1·10) = $9,773.37

Example #3:

Calculate the future value after 8 years present value of $25,000 with annual interest of 3% compounded monthly.

Solution:

A0 = $25,000

r = 3% = 3/100 = 0.03

m = 12

n = 8

A8 = $25,000·(1+0.03/12)(12·8) = $31,771.71

Example #4:

Calculate the future value after 5 years present value of $55,000 with annual interest of 3% compounded monthly.

Solution:

A0 = $55,000

r = 3% = 3/100 = 0.03

m = 12

n = 5

A8 = $55,000·(1+0.03/12)(12·5) = $63,888.92

 

 

Compound interest calculation ►

 


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