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HomeCalculatorsCompound Interest Calculator

Compound Interest Calculator

See how your money grows over time with the power of compound interest and regular contributions.

Parameters

Quick Presets
$
$
7%
0%30%
20 yrs
1 yrs50 yrs

Future Value

$302,370

Total Contributions

$130,000

Total Interest Earned

$172,370

How It Works

Compound interest is the interest calculated on both the initial principal and the accumulated interest from previous periods. Unlike simple interest, which only earns interest on the original amount, compound interest allows your money to grow exponentially over time. This is often called the "eighth wonder of the world" — the longer your money compounds, the faster it grows.

Formula

A = P(1 + r/n)^(nt) + PMT × [((1 + r/n)^(nt) - 1) / (r/n)]

Where A = future value, P = principal, r = annual interest rate (decimal), n = compounding frequency per year, t = time in years, and PMT = periodic contribution amount.

Key Concepts

Principal

The initial amount of money you invest or deposit. This is your starting point — the seed money that will grow through compounding.

Compounding Frequency

How often interest is calculated and added to your balance. More frequent compounding (e.g., monthly vs. annually) results in slightly higher returns because interest earns interest sooner.

Annual Percentage Yield (APY)

The effective annual rate of return taking compounding into account. APY is always equal to or higher than the stated annual interest rate (APR) when compounding occurs more than once per year.

Time Horizon

The length of time your money stays invested. Time is the most powerful factor in compound interest — even small amounts can grow substantially over decades.

Pro Tips

  • Start investing as early as possible — even small amounts benefit enormously from decades of compounding.
  • Increase your monthly contributions by just 1% each year to dramatically accelerate growth.
  • Choose investments with more frequent compounding (monthly over annually) for slightly better returns.
  • Reinvest all dividends and interest rather than withdrawing them to maximize the compounding effect.
  • Use the Rule of 72: divide 72 by your interest rate to estimate how many years it takes to double your money.

Real-World Example

Sarah invests $10,000 at age 25 with a 7% annual return, compounded monthly, and adds $500 per month.

1Initial investment: $10,000
2Monthly contribution: $500 for 30 years
3Total contributions: $10,000 + ($500 × 12 × 30) = $190,000
4With 7% compounded monthly over 30 years...
5Future value: approximately $631,452

Result: Sarah's $190,000 in total contributions grew to $631,452 — earning $441,452 in interest alone. That's more than 2.3× her total contributions, all thanks to compound interest.

Frequently Asked Questions

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