Compound Interest Formula
Uses A = P(1 + r/n)^(nt) where P is principal, r is annual rate, n is compounding frequency, and t is time. Monthly contributions are added using the future value of an annuity formula.
Discover your money's real purchasing power. Calculate nominal returns, inflation-adjusted wealth, and true growth across 40+ currencies with live World Bank inflation data.
| Year | Invested | Nominal Value | Interest Earned | Real Value | Real Gain |
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Uses A = P(1 + r/n)^(nt) where P is principal, r is annual rate, n is compounding frequency, and t is time. Monthly contributions are added using the future value of an annuity formula.
Real value is calculated as Nominal ÷ (1 + inflation)^years. This converts your future balance back into today's purchasing power, showing what your money will actually be worth.
The effective real rate uses the precise Fisher equation: (1 + nominal) ÷ (1 + inflation) − 1. This is more accurate than the simplified approximation of nominal minus inflation.
Click Live Rate to fetch the latest CPI inflation figure from the World Bank Open Data API (indicator FP.CPI.TOTL.ZG) — free, no API key required, updated annually.
A quick mental estimate: 72 ÷ interest rate = years to double. At 6%, money doubles roughly every 12 years. The calculator displays this live as you adjust the interest rate.
Choose from over 40 global currencies organized by region. All values use Intl.NumberFormat for locale-accurate formatting — Indian Rupee grouping, Yen without decimals, and more.
Compound interest earns interest on both the original principal and the accumulated interest from all previous periods. Simple interest only earns on the original principal. For example, $10,000 at 7% simple interest grows by $700/year forever. With compound interest, the second year earns on $10,700, the third on $11,449, and so on — growing exponentially. The formula is A = P(1 + r/n)^(nt).
Inflation silently erodes purchasing power. Even if your investment grows 7% nominally, 3% inflation means prices also rose — your real gain is only ~3.88% (via the Fisher equation). Over 20 years at those rates, $10,000 nominal grows to ~$38,697 but its real value is only ~$21,427. The gap between those two numbers — $17,270 — is the inflation erosion shown in this calculator.
The Rule of 72 is a shortcut to estimate doubling time: years to double ≈ 72 ÷ annual rate. At 8%, money doubles in ~9 years. At 4%, ~18 years. It also works for inflation: at 3% inflation, purchasing power halves in ~24 years. This calculator displays the Rule of 72 live as you adjust the interest rate slider.
More frequent compounding always yields slightly more. Daily compounding beats monthly, which beats quarterly, which beats annually. However, the difference is smaller than most expect. At 7% over 20 years on $10,000: annual compounding gives $38,697; daily gives $40,138 — a difference of only ~$1,441. Monthly compounding ($39,983) captures most of the daily benefit and is the most common in real-world savings accounts and mortgages.
Historically: the S&P 500 has returned ~10% nominal / ~7% real. Government bonds: ~2–4% nominal / ~1–2% real. Savings accounts: currently 4–5% nominal in high-rate environments. Any real rate above 0% means your wealth is growing in purchasing-power terms. Target at least 3–5% real return to meaningfully build wealth over time.
Regular monthly contributions dramatically accelerate growth through dollar-cost averaging and compounding. The future value of periodic contributions follows the annuity formula: FV = PMT × [(1 + r/n)^(nt) − 1] / (r/n). For instance, adding just $200/month to a $10,000 principal at 7% over 20 years increases the final balance from ~$39,000 to ~$142,000 — nearly 4× more. Start contributions early; even small amounts compound significantly over decades.