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

How much is 8000 worth after
48 months
using an annual interest rate of 10.5%
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  = 0.105 12

Monthly Interest = 0.00875

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 = 8000(1 + 0.00875)48
A = 8000(1.00875)48
A = 8000(1.519183696612)
A = 12,153.47

How much interest was earned?

Interest Earned = Accum. Value - Start Balance

Plug in our values

Interest Earned = 12,153.47 - 8,000.00
Interest Earned = 4,153.47

A = 12,153.47
Interest Earned = 4,153.47

What is the Answer?
A = 12,153.47
Interest Earned = 4,153.47
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

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