 # How much is 10000 worth after 120 Monthlys using an annual interest rate of 8% compounded Monthly?

<-- Start Balance
<-- # of periods
<-- Interest rate

How much is 10000 worth after
120 months
using an annual interest rate of 8%
compounded monthly?

## Calculate effective interest rate

There are 12 months in a year
Convert interest rate to monthly
 Monthly Interest  = Annual Interest Rate Compounding Periods

 Monthly Interest  = 0.08 12

Monthly Interest = 0.0066666666666667

## Calculate Accumulated Balance

A = B(1 + i)n
where A = accumulated balance
B = opening balance
i = Monthly interest rate
and n = number of periods

## Plugging in our values

A = 10000(1 + 0.0066666666666667)120
A = 10000(1.0066666666667)120
A = 10000(2.2196402345447)
A = 22,196.40

## How much interest was earned?

Interest Earned = Accum. Value - Start Balance

## Plug in our values

Interest Earned = 22,196.40 - 10,000.00
Interest Earned = 12,196.40

A = 22,196.40
Interest Earned = 12,196.40

### How does the Compound Interest Accumulated Balance Calculator work?

Free Compound Interest Accumulated Balance Calculator - Given an interest rate per annum compounded annually (i), semi-annually, quarterly, monthly, semi-monthly, weekly, and daily, this calculates the accumulated balance after (n) periods
This calculator has 3 inputs.

### What 1 formula is used for the Compound Interest Accumulated Balance Calculator?

Bn = Bn - 1(1 + i)

For more math formulas, check out our Formula Dossier

### What 5 concepts are covered in the Compound Interest Accumulated Balance Calculator?

compound interest
the interest you earn on principal and interest
A = (1 + r/n)nt
compound interest accumulated balance
interest rate
the proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositor
principal
The amount borrowed on a loan, before interest is charged
yield
How much an investment returns in terms of interest rate