How compound interest is calculated
Compound interest earns interest on your interest. The tool uses the classic formula:
A = P × (1 + r/n)^(n × t)
Where:
- P = principal (your starting deposit)
- r = annual rate as a decimal (8% → 0.08)
- n = compounding periods per year (1 annually, 4 quarterly, 12 monthly, 365 daily)
- t = number of years
Total interest earned is simply A − P. When the rate is 0%, the amount equals the principal — the tool special-cases this so the result is always well-defined.
Why compounding frequency changes the answer
The same headline rate produces different returns depending on how often it compounds. Deposit ₹1,00,000 at 8% for 5 years and you get:
- Annually: ₹1,46,933
- Quarterly: ₹1,48,595
- Monthly: ₹1,48,985
- Daily: ₹1,49,176
That spread is why the calculator also reports the effective annual rate — the single annual figure that captures the real return once compounding is baked in. At 8% nominal compounded quarterly, the effective rate is 8.24%, not 8%. Most Indian bank fixed deposits compound quarterly by default, so picking the wrong frequency is the most common reason a hand calculation disagrees with your bank statement.
Why it matters
Compounding is the quiet force behind every long-horizon financial goal. The earlier money goes in and the longer it stays, the more of your final balance is interest rather than principal — at long tenures the interest portion eventually dwarfs what you originally deposited. Seeing that crossover in real numbers is the whole point of running the calculator before you commit to a deposit or a savings plan.
Privacy
The math runs entirely in your browser via the pure calculateCompoundInterest function. Editing any field produces no network calls, stores nothing in localStorage, and sends nothing to analytics — you can verify this in your browser’s Network tab.
Related calculators
Use the SIP calculator for monthly recurring investments, the PPF calculator for a real-world EEE example of compounding, or the percentage calculator for quick one-off growth figures.