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

How much is 13000 worth after
40 semi-annual periods
using an annual interest rate of 11%
compounded semi-annual?

## Calculate effective interest rate

There are 2 semi-annual periods in a year
Convert interest rate to semi-annual
 Semi-Annually Interest  = Annual Interest Rate Compounding Periods

 Semi-Annually Interest  = 0.11 2

Semi-Annually Interest = 0.055

## Calculate Accumulated Balance

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

## Plugging in our values

A = 13000(1 + 0.055)40
A = 13000(1.055)40
A = 13000(8.5133087739763)
A = 110,673.01

## How much interest was earned?

Interest Earned = Accum. Value - Start Balance

## Plug in our values

Interest Earned = 110,673.01 - 13,000.00
Interest Earned = 97,673.01

A = 110,673.01
Interest Earned = 97,673.01

A = 110,673.01
Interest Earned = 97,673.01
##### 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