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Compound Interest calculator

How a starting amount and regular contributions grow under compounding.

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About this calculator

Compound interest is interest earned on interest. Money that grows at r% per year, compounded, follows the formula FV = PV × (1 + r)t. The reason compounding is called the most powerful force in finance is that the curve isn't linear — it accelerates. A 7% annual return doubles your money in roughly 10 years and quadruples it in 20.

The two levers: time and rate

A 25-year-old who invests $5,000 once at 8% has $108,623 at 65 — without ever adding another dollar. A 35-year-old who does the same has only $50,313, because they lost 10 years of compounding. Time is the more important variable than the contribution amount for long horizons.

Compounding frequency

Daily compounding beats annual compounding, but the difference at any realistic rate is tiny. 7% APR compounded daily produces 7.25% effective annual yield; compounded monthly, 7.23%; compounded annually, exactly 7%. For most planning purposes, monthly compounding is the right baseline.

Real vs nominal returns

The calculator returns nominal future value (in today's dollars adjusted for the entered rate). To get real (inflation-adjusted) value, subtract expected inflation from the rate. The S&P 500 averaged ~10% nominal and ~7% real over the last century. Plan with the real number — it's what your future self can actually buy with.

Frequently asked questions

What’s the rule of 72?
A back-of-the-envelope shortcut: 72 ÷ rate = years to double. At 6%, money doubles in 12 years. At 9%, in 8 years. It’s a simplification — the exact answer uses natural log — but accurate within a couple percent across normal rates.
Does this account for taxes?
No — the returns assume tax-advantaged compounding (IRA, 401k). Taxable accounts pay 15–37% on dividends/realized gains, which can reduce effective returns by 1–2% annually. Use 5–6% as a taxable-account proxy for long-term equity returns.
Why not just put money in a savings account?
Savings accounts pay 1–5% nominally, but inflation runs 2–3% — your real return is often near zero or negative. Stocks have averaged 10% nominal/7% real historically, with much higher volatility. Time horizon decides which is appropriate.
What’s a realistic return assumption?
The S&P 500 has returned 10% nominally on average over 100+ years, but with huge variation by decade (the 2000s averaged 0%; the 2010s averaged 13%). 7% real is a defensible long-term planning number; 5% real is conservative.
Compound interest on $10k + $500/mo at 7% over 30 years | SuperCalculator