Compound Interest

Final Balance XXXX
Total Interest XXXX

Amount

Interest
Rate:

% per year

Duration:

Compound
Frequency: 

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Compound Interest Calculator

Interest is a fee paid to by the borrower of assets to the owner as a form of compensation for the use of borrowed money or money earned by deposited funds. Money is said to be lent at compound interest when at the end of a year or other fixed tenure, the due interest is not paid to the lender but is added to the sum lent and the amount thus obtained becomes the principle for the next period.

The process is repeated until the amount for the last of the period has been found. The difference between the original and the final amount is called compound interest.

☛ The formula for Compound Interest

Compound interest = P × [ 1 + ( r / 100 ) ] × n - P
Where P represents the principle
R represents the Rate of interest (per annum)
N represents the number of years

☛ The formula for Total Amount to be paid in Compound Interest

The Compound Interest can be obtained from the given formula
Amount = P × [ 1+ ( r / 100 ) ] × n
The sum of the principle and compound interest is called the amount represented by ‘A’

Example:

Assume that Rs 6000 is invested in a bank under a compound interest of 10% p.a for 4 years. Find the amount at the end of 4 years?

Computing for 4 years, take the 5th row from the triangle i.e. 1 4 6 4 1

Amount = ( 1 × 6000 × 10 % 0 ) + ( 4 × 6000 × 10 % 1 ) + ( 6 × 6000 × 10 % 2 ) + ( 4 × 6000 × 10 % 3 ) + ( 1 × 6000 × 10 % 4 )
= 6000 + 2400 + 360 + 24 + 0.6
= 8764.60

Note: For calculating the amount after n years, (n+1) th row of Pascal’s triangle should be used

Compound interest, like simple interest, is the interest paid on the investment. The difference is, this interest is then added to the principle. Once the interest has been added to the principle, it also begins to generate interest.

Taking the example of Rs 1000 invested at 10% per annum, the first year’s interest would amount to Rs 100 only. But the similarity ends, as soon as the interest gained is added to the original of Rs 1000 making it as total Rs 1100 for which interest is now calculated upon.

Compound Interest
Year Principle Interest Amount at the end
1 1000 1000*10%=100 1,100
2 1100 1100*10%=110 1,210
3 1210 1210*10%=121 1,331
4 1331 1331*10%=133.10 1,464.10
5 1464 1464*10%=146.41 1,610.51

☛ Important points:

  • Compound interest in real life is often a factor in business transactions, investments and financial product intended to extend for multiple periods. Anyone who lends money can benefit from using compound interest.
  • Jacob Bernoulli discovered the constant 'e' while he was studying a question about compound interest.
  • Once upon a time, the compound interest was once regarded as the worst kind of usury and was severely condemned by common laws of many countries
  • Mortgage loans in Canada are generally compounded semiannually with monthly payments

☛ How to use Calculator Hut’s Compound Interest Calculator?

Calculator Hut’s Compound Interest calculator is easy to use. Just enter Initial investment, the rate of interest and the time duration and click calculate. You will get the compound interest and also the total amount (CI + initial invested) you will get after the time duration. Compound frequency can change according to the problem. It may be yearly, quarterly or monthly.

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