Compound Interest Calculator — How Fast Will Your Money Double?

See exactly when your investment crosses $100K, $500K, or $1M — with the formula shown step by step

Reviewed for accuracy June 21, 2026 by Gary S.

How to use Compound Interest Calculator

Free compound interest calculator. Enter principal, rate, time, and compounding frequency to see final balance and total interest earned. Includes the compound interest formula explained.

A compound interest calculator shows how money grows when interest is earned not just on your original investment, but on previously earned interest too. This snowball effect — earning interest on interest — is the reason a $10,000 investment at 7% grows to $40,387 in 20 years with monthly compounding. Understanding compound interest is fundamental to investing, saving, and understanding the true cost of debt.

How to use this Compound Interest Calculator

  1. 1Enter your principal — the initial amount you are investing or saving.
  2. 2Enter the annual interest rate as a percentage (e.g. 7 for 7%).
  3. 3Set the time period in years.
  4. 4Choose compounding frequency: daily, monthly, quarterly, or annually. Monthly is the most common for savings accounts and investments.
  5. 5The calculator shows final balance, total interest earned, and the breakdown between your principal and earned interest.

Compound interest formula explained

The compound interest formula calculates how a principal amount grows over time when interest is reinvested. The key difference from simple interest is the exponent — each period, the entire accumulated balance (not just the original principal) earns interest.

A = P × (1 + r/n)^(n × t)
VariableMeaning
AFinal amount (principal + interest)
PPrincipal (starting amount)
rAnnual interest rate as a decimal (7% = 0.07)
nCompounding frequency per year (monthly = 12)
tTime in years

Calculate compound interest: $10,000 at 7% for 20 years (monthly compounding)

  1. 01P = $10,000, r = 0.07, n = 12 (monthly), t = 20
  2. 02Monthly rate: r/n = 0.07/12 = 0.005833
  3. 03Total periods: n × t = 12 × 20 = 240
  4. 04A = 10,000 × (1.005833)^240 = 10,000 × 4.0387

Result

Final balance: $40,387. Total interest earned: $30,387 — three times the original investment, with no additional contributions.

What affects compound interest growth?

Interest rate

The most powerful lever. At 5% for 30 years, $10,000 grows to $43,219. At 8%, the same investment grows to $100,627 — more than double.

Time

The earlier you start, the more dramatic the effect. $10,000 invested at 25 grows to $574,464 by 65 at 10%. Starting at 35 yields only $217,245 — less than half.

Compounding frequency

Daily compounding on $10,000 at 7% for 20 years yields $40,495. Monthly yields $40,387. The difference is smaller than most people expect — time and rate matter far more.

Additional contributions

Regular contributions amplify compounding dramatically. Adding $100/month to a $10,000 investment at 7% for 20 years grows it to $91,473 instead of $40,387.

Tips and things to know

  • The Rule of 72: divide 72 by your interest rate to estimate how many years it takes to double your money. At 6%, your money doubles in ~12 years.
  • Compound interest works against you on debt too. A $5,000 credit card balance at 20% APR grows to $30,958 in 20 years if unpaid.
  • Tax-advantaged accounts (401k, Roth IRA) compound faster in practice because gains are not reduced by annual taxes.
  • Always compare accounts using APY (Annual Percentage Yield), not APR — APY already accounts for compounding frequency.
  • Inflation reduces real returns. A nominal 7% return with 3% inflation gives a real return of approximately 4%.

Compound Interest Calculator — bottom line

Compound interest is frequently called "the eighth wonder of the world" — not as hyperbole but because the math produces results that feel counterintuitive until you see the numbers. The key insight is that the rate of growth itself accelerates over time: in the early years, most of your balance growth comes from contributions; in the later years, most comes from interest on interest. On a $50,000 investment at 7%, growth in year 1 is $3,500. Growth in year 30 is nearly $26,000 — the same 7% rate applied to a much larger accumulated base. Time and rate are the two levers, and time is almost always the more powerful one at reasonable rates. The most common compounding mistake is pausing contributions during market downturns. Stopping regular contributions or pulling invested money out during a decline locks in losses and breaks the compounding chain precisely when the mathematical setup for future recovery is most favorable. Compounding does its best work on money that stays invested through downturns. Second mistake: not maximizing tax-advantaged compounding first. A dollar compounding inside a Roth IRA produces the same growth as one in a taxable account, but the Roth dollar keeps all of it at withdrawal — no tax drag on decades of growth. A 7% return with no annual tax drag meaningfully outpaces 7% with annual capital gains or dividend taxes over a 30-year period. Third: confusing APR with APY on savings products. APY already accounts for compounding and is always the right number to compare when shopping savings accounts or CDs. Enter your current portfolio here and model what it looks like simply left alone for 20 or 30 more years — the result is usually motivating.

Official resources and further reading

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Frequently asked questions

Compound interest earns interest on both your original principal and previously earned interest. This creates exponential growth over time.

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The tools and calculators on Garypedia are provided solely for informational and educational purposes. They do not constitute financial, investment, tax, accounting, or legal advice of any kind. While reasonable care is taken to ensure the accuracy of formulas, figures, and data sources referenced, no warranty — express or implied — is made as to their completeness or suitability for any particular purpose. Garypedia, its operators, and contributors expressly disclaim all liability for any loss, damage, or adverse outcome — whether direct, indirect, or consequential — arising from reliance on any result produced by these tools. All outputs are estimates based on the inputs you provide; individual circumstances vary significantly. You should independently verify any figures and seek guidance from a suitably qualified and regulated financial, tax, or legal professional before making any financial decision.