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Compound Interest Calculator

Compound Interest Calculator

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In short

A = P(1 + r/n)^(nt): $10,000 at 7% compounded monthly for 10 years grows to about $20,097. More frequent compounding and longer time both increase the result.

How it works

Compound interest pays interest on interest: A = P × (1 + r/n)n×t, where r is the annual rate, n how many times a year it compounds and t the number of years.

  1. Enter the principal, the annual rate and the term.
  2. Choose the compounding frequency — yearly, quarterly, monthly or daily.
  3. The calculator returns the maturity amount; subtract the principal for the interest earned.

The more often interest is added, the more you earn, but the effect is smaller than most people expect: at 10% on ₹1,00,000 for 10 years, yearly compounding gives ₹2,59,374 and monthly gives ₹2,70,704.

Examples

Worked examples:

  • ₹1,00,000 at 10% for 10 years, compounded yearly: ₹2,59,374, of which ₹1,59,374 is interest.
  • ₹1,00,000 at 7% for 5 years, compounded quarterly: ₹1,41,478.
  • Rule of 72: divide 72 by the rate for a quick doubling time — at 9% money doubles in about 8 years (₹1,99,256 from ₹1,00,000).

Related: Grade Calculator, ROI Calculator, Mortgage Calculator.

Compound Interest Calculator: frequently asked questions

What is the compound interest formula?
A = P(1 + r/n)^(nt), where P is the principal, r the annual rate (as a decimal), n the compounding periods per year and t the years. Interest = A − P.
What is the Rule of 72?
Divide 72 by the annual rate to estimate how many years it takes to double your money. At 8%, about 9 years.
Does monthly compounding make a big difference?
Somewhat: 7% compounded monthly is an effective 7.23% a year, versus 7% compounded annually.