SmartCalculators.ai
Home/Personal Finance/Compound Interest Calculator

How much will my money grow with compound interest?

Calculate how compound interest grows your investments over time. See the future value of your principal plus monthly contributions across any time horizon and compounding frequency.

What This Calculator Does

Compound interest is interest earned on both your original principal and on the interest that has already accumulated. It's the mechanism behind long-term wealth building — your money earns money, and that money earns more money.

How It Works

The formula is A = P(1 + r/n)^(nt), where P is principal, r is the annual rate, n is compoundings per year, and t is time in years. This calculator also factors in regular monthly contributions, which compound from the date they're added. More frequent compounding produces a slightly higher result.

Why It Matters

Compound interest is the single biggest factor in growing long-term wealth. The earlier you start, the more dramatic the effect — $200/month at 7% for 40 years grows to over $525,000, even though you only contributed $96,000.

Inputs

$10,000.00
$200.00
7.000%
20

Results

Future Value

$144,572.72

What your investment will be worth

Total Contributions$58,000.00
Total Interest Earned$86,572.72

This calculator provides estimates for informational purposes only.

Insights

What compounding does

Your $58,000.00 in contributions grows to $144,572.72 — that's 2.5× your money, with $86,572.72 from interest alone.

Start sooner if you can

Adding even a few years to your time horizon usually moves the final number more than raising your contribution.

How Compound Interest Is Calculated

The formula is A = P(1 + r/n)^(nt), where P is principal, r is the annual rate, n is compoundings per year, and t is time in years. This calculator also factors in regular monthly contributions, which compound from the date they're added. More frequent compounding produces a slightly higher result.

fvPrincipal = principal*(1+r/n)^(n*years), r=annualRate/100, n=compounding periods/year per selected frequency (annually=1, semiannually=2, quarterly=4, monthly=12, daily=365).
fvContributions computed via an effective monthly rate derived from the nominal compounding: effectiveMonthlyRate = (1+r/n)^(n/12) - 1, then standard ordinary-annuity FV formula over months=years*12.
futureValue = fvPrincipal + fvContributions; totalContributions = principal + monthlyContribution*months; totalInterest = futureValue - totalContributions.
Where: principal, monthlyContribution, annualRate (%), years, compoundingFrequency.
Assumptions: lump-sum principal compounds at the chosen frequency while monthly contributions are converted to an equivalent effective monthly rate (not compounded at the chosen frequency directly); contributions at end of month; no fees/taxes.

Key Takeaways

  • •Time matters more than amount — starting 10 years earlier often beats doubling your contribution
  • •Reinvest dividends and interest to keep compounding working
  • •7% is a reasonable long-term return for diversified U.S. equities (after inflation, closer to 5%)
  • •Daily compounding only marginally beats monthly — don't pay extra for it
  • •Tax-advantaged accounts (401k, IRA, HSA) shield compound growth from yearly taxes