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Compound interest formula, explained

Compound interest means you earn interest on your interest. The formula below is how banks and our calculator work out the growth of a deposit.

Last reviewed: 25 October 2026

The formula

A = P × (1 + r/n)n × t

A is the final amount, P the amount you invest, r the annual interest rate (as a decimal), n the number of times interest is compounded per year, and t the number of years.

Example: ₹1,00,000 at 7% for 10 years

CompoundingValue after 10 yearsInterest earned
Yearly₹1,96,715₹96,715
Half-yearly₹1,98,979₹98,979
Quarterly₹2,00,160₹1,00,160
Monthly₹2,00,966₹1,00,966

More frequent compounding gives a slightly higher result, but the rate and the time you stay invested matter far more.

Simple vs compound interest

With simple interest at 7%, ₹1,00,000 earns ₹7,000 every year, ₹70,000 over 10 years. With yearly compounding it earns ₹96,715, because each year's interest is added to the balance.

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Frequently asked questions

What is n in the compound interest formula?

The number of times interest is added per year: 1 for yearly, 4 for quarterly, 12 for monthly.

Do Indian banks compound FDs quarterly?

Most banks compound fixed deposit interest quarterly; check your bank's terms.

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