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How compound interest works

Compound interest means you earn interest not just on your original deposit, but also on the interest already earned — creating a snowball effect.

The formula

A = P(1 + r/n)^(nt)

A = Final amount  · P = Principal  · r = Annual rate  · n = Times compounded/year  · t = Years

Why frequency matters

Monthly compounding earns more than annual compounding on the same rate. At 8%, $10,000 compounded monthly becomes $22,196 in 10 years vs $21,589 with annual compounding — a $607 difference with no extra effort.

The rule of 72

Divide 72 by your interest rate to estimate how long it takes to double your money. At 8%, your investment doubles roughly every 9 years. At 6%, it takes about 12 years.

Start early, earn more

Investing $5,000 at age 25 at 8% grows to $159,602 by age 65. The same $5,000 invested at 35 grows to only $73,927. Starting 10 years earlier more than doubles the outcome.

Frequently asked questions

Everything you need to know about compound interest calculations.

What is compound interest?

Compound interest is interest calculated on both the initial principal and the accumulated interest. Unlike simple interest (which is only on the principal), compound interest grows exponentially over time.

Which compounding frequency is best?

More frequent compounding (daily vs. annually) yields slightly more interest. However, the difference is small — the interest rate itself has far more impact on final results than compounding frequency.

Does this account for inflation?

No — this calculator shows nominal (not inflation-adjusted) growth. To estimate real returns, subtract the inflation rate (typically 2–3%) from your interest rate before entering it.

How accurate is this calculator?

Very accurate for standard compound interest. It uses the exact compound interest formula with monthly contributions added at each compounding interval. Results may differ slightly from bank statements due to rounding.

What's the difference between annual and monthly compounding?

Annual compounding calculates interest once a year. Monthly compounding calculates it 12 times per year, and each calculation includes previously earned interest. Daily compounding does this 365 times. More frequent compounding = slightly more interest, but the effect is usually small compared to the interest rate itself.

Why isn't my bank balance matching the calculator?

Common reasons: Your bank may compound on a different schedule than you selected, fees reduce your balance, or the rate isn't fixed (it changed during the period). Also, banks often round to the nearest cent, which can create small discrepancies over time. This calculator assumes consistent interest rates and no fees.

What's a common mistake people make with compound interest?

Underestimating how powerful time is. Many people think starting late with larger amounts beats starting early with smaller amounts—it doesn't. A 25-year-old investing $100/month beats a 45-year-old investing $500/month. Also, people often don't account for how quickly debt compounds against them (credit cards, loans).

Can I use this to calculate investment returns?

Yes, if your investment has a consistent annual return rate. However, stocks and mutual funds don't have guaranteed returns—they fluctuate. Use this calculator to see potential returns under a given scenario, but understand that actual results will vary. For conservative planning, use a lower rate than historical averages.

How do I account for taxes on my earnings?

This calculator shows pre-tax results. To estimate after-tax returns, multiply the interest earned by (1 - your tax rate). For example, if you earned $1,000 in interest and your tax rate is 24%, you'd keep about $760. Tax-advantaged accounts (401k, Roth IRA) don't require this adjustment during accumulation.