Compound Interest Calculator

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Period

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Future value

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Total deposits amount

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Interest amount

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Total yield

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Compound interest calculation

The amount after n years A_n 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:

A_n 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 $5,000 with annual interest of 4%.

Solution:

A₀ = $5,000

r = 4% = 4/100 = 0.04

m = 1

n = 10

A₁₀ = $5,000·(1+0.04/1)^(1·10) = $7,401.22

Example #2:

Calculate the future value after 8 years present value of $35,000 with annual interest of 3% compounded monthly.

Solution:

A₀ = $35,000

r = 3% = 3/100 = 0.03

m = 12

n = 8

A₈ = $35,000·(1+0.03/12)^(12·8) = $44,480.40

 

Compound interest calculation ►

 

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See also

• Compound interest formula

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