Investment Details
$
$
%
yrs
%
Future Value
โ€”
nominal
Total Contributions
โ€”
principal + deposits
Interest Earned
โ€”
% of total
Real Value (Inflation-adj)
โ€”
today's dollars
Rule of 72 Doubles
โ€”
times principal doubles
Effective Annual Rate
โ€”
with compounding
Balance Growth Over Time
Contributions Interest earned
Year-by-Year Summary
YearBalanceContributionsInterest Earned% Interest

How Compound Interest Works

Compound interest earns returns on both your principal and all previously earned interest. This creates exponential growth โ€” the longer you invest, the faster the growth accelerates. A $10,000 investment at 7% annual return grows to about $19,700 in 10 years, $38,700 in 20 years, and $76,100 in 30 years โ€” without adding a single additional dollar.

Adding regular monthly contributions dramatically accelerates this effect. The same $10,000 starting balance with $500/month at 7% reaches about $264,000 in 20 years โ€” more than 6ร— the contributions alone.

Compounding Frequency

The more frequently interest compounds, the higher the effective annual rate. Monthly compounding on a 7% nominal rate produces an effective annual rate (EAR) of about 7.23%. Daily compounding gets you to 7.25%. The difference is small but adds up over decades. Most savings accounts use daily compounding; most investment accounts use annual or monthly.

Inflation and Real Returns

Nominal returns are what you see on paper. Real returns account for inflation. At 7% nominal growth and 3% inflation, your real return is roughly 3.9% per year โ€” meaning your purchasing power grows much more slowly than the numbers suggest. This calculator shows both nominal and inflation-adjusted values so you can plan with realistic expectations.

Frequently Asked Questions

  • What is the Rule of 72?
    Divide 72 by your annual return rate to estimate how long it takes to double your money. At 6%, your money doubles in ~12 years. At 9%, in ~8 years. At 3%, in ~24 years. This calculator shows how many doublings occur over your time horizon.
  • How much should I save each month to reach $1 million?
    At 7% annual return, starting from $0: ~$1,000/month gets you to $1M in about 30 years; ~$1,700/month in 25 years; ~$3,000/month in 20 years. Starting earlier is dramatically more effective than contributing more later.
  • What is a realistic long-term investment return?
    The S&P 500 has historically returned ~10% annually before inflation (about 7% after). For planning, 6โ€“8% nominal is a conservative estimate for a diversified stock portfolio. Bonds typically average 2โ€“4%. Use 5โ€“7% for a balanced portfolio.
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