# Compound Interest Calculator

Compound interest is the interest in which you earn interest on your money invested as well as the interest on the compounded amount.

This page offers a compound interest calculator for the online calculation of compound interest. For calculating compound interest, select currency, the present value of loan/investment, annual nominal interest rate, compounding period, total time period for loan/ investment, and press the calculate button. You can also add additional payments but these are optional.

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## Compound interest calculation

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: 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 \$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

How is compound interest calculated?

Build revenue is determined by duplicating the underlying credit sum, or head, by the one or more the yearly loan cost raised to the quantity of accumulate periods less one. This will leave you with the absolute amount of the advance including compound interest.30-Jun-2021