||
Free compound interest calculator. See how your savings grow over time with monthly contributions and compound interest over 5 to 30 years.
Compound interest is the single most powerful force in personal finance — Albert Einstein allegedly called it the eighth wonder of the world.
Compound interest is the single most powerful force in personal finance — Albert Einstein allegedly called it the eighth wonder of the world. The concept is simple: you earn interest not just on your original deposit, but on the interest that has already accumulated. A $10,000 deposit earning 5% annually becomes $10,500 after year one. In year two, you earn 5% on $10,500 — not $10,000 — giving you $11,025. Over decades, this snowball effect transforms modest savings into substantial wealth.
The real magic happens when you combine compound interest with regular contributions. A one-time $10,000 deposit at 7% grows to $76,123 after 30 years. But add $500 per month in contributions, and the same account grows to $643,096 — more than eight times the deposit-only scenario. Your $190,000 in total contributions generated $453,096 in pure interest. That's the power of consistent investing over time.
Time is the essential ingredient. At 7% annual return, your money doubles approximately every 10 years (the Rule of 72). Starting at age 25 instead of 35 means your money has an extra doubling period — turning $500,000 into $1,000,000 without contributing another dollar. This calculator shows you exactly how your savings will grow based on your starting amount, monthly contributions, and expected return rate. Compare scenarios to see why starting early matters more than contributing more later. For understanding how taxes affect your investment returns, see our capital gains tax calculator.
Compound interest is the process of earning returns on your returns. Unlike simple interest — which pays a fixed percentage of your original deposit each year — compound interest recalculates the base amount after each compounding period, including all previously earned interest.
**A concrete example.** Start with $10,000 at 7% annual return, compounded monthly. Month one: you earn $58.33 in interest (7% ÷ 12 × $10,000). Month two: you earn $58.67 — because you're now earning 7% on $10,058.33, not $10,000. The difference is tiny at first. But after 10 years, your balance is $20,097 — you've earned $10,097 on a $10,000 deposit. After 30 years: $81,165 — over $71,000 in pure interest from a single $10,000 deposit.
**Why monthly contributions change everything.** Compound interest works on your ENTIRE balance. Every monthly contribution becomes a new seed that starts compounding immediately. $500 contributed in month one of a 30-year timeline has 359 months to compound. $500 contributed in year 15 only has 179 months. This is why early contributions are disproportionately valuable — the first $500 you invest is worth more than any $500 you invest later. At 7%, $500/month for 30 years produces $566,764 — but $350,764 of that is interest earned on your $180,000 in total contributions.
**Compounding frequency matters (a little).** Monthly compounding (used by this calculator) is the standard for most accounts. Daily compounding earns slightly more — about 0.02% per year on a savings account. The difference between monthly and daily compounding on $100,000 at 5% over 10 years is roughly $125. Annual compounding would cost you about $250 over the same period. For investment accounts, returns compound with each reinvested dividend or share price increase. Learn how taxes affect returns with our capital gains tax calculator.
The return rate you choose has an outsized impact on your final balance. Understanding what each rate represents helps you set realistic expectations.
**0.5–2%: Savings accounts and CDs.** Traditional bank savings accounts currently pay 0.01-0.5%. Certificates of deposit (CDs) offer 2-5% depending on the term. These are FDIC-insured up to $250,000 — your money is safe, but growth barely keeps pace with inflation. Best for: emergency funds, money needed within 1-3 years.
**4–5%: High-yield savings accounts.** As of 2025-2026, online banks like Marcus, Ally, and Wealthfront offer 4-5% APY. These rates track the Federal Reserve's federal funds rate and will decrease when the Fed cuts rates. Still FDIC-insured. Best for: emergency funds, short-term savings goals (1-5 years). Use our home affordability calculator to see how your savings translate to a home down payment.
**7%: Stock market inflation-adjusted average.** The S&P 500 has returned approximately 10% annually since 1926. After adjusting for ~3% average inflation, the 'real' return is about 7%. Financial planners use this number for long-term projections because it represents what your money can actually buy in the future. In any single year, stock market returns can range from -37% (2008) to +57% (1933). The 7% average only materializes over 15+ year periods.
**10%: S&P 500 nominal average.** This represents the stock market's average return without adjusting for inflation. The last decade (2013-2023) averaged about 12% annually, above the long-term norm. Using 10% for projections is optimistic but not unreasonable for nominal returns. Just remember: a $1,000,000 balance in 30 years has the purchasing power of roughly $412,000 in today's dollars at 3% inflation. See our after-tax income calculator to understand how your income supports your savings rate.
Three levers control your compound interest outcome: how much you start with, how much you add regularly, and how much time you give it. Time is the most powerful and the one most people undervalue.
**Start now, not later.** The cost of waiting one year to start investing $500/month at 7% is approximately $40,000 in lost growth over a 30-year horizon. Not because you miss $6,000 in contributions — but because that $6,000 never gets 29 years of compounding. Every year you delay, the eventual cost multiplies. Age 25 to 65: $1,197,811 total. Age 26 to 65: $1,113,096. One year costs $84,715.
**Automate contributions.** The biggest risk to compound interest is human behavior — skipping months, reducing contributions during market drops, or spending instead of saving. Set up automatic transfers on payday. Money you never see in your checking account is money that compounds uninterrupted. Research consistently shows that automated investors outperform manual investors over long periods.
**Reinvest all dividends.** In stock market accounts, dividends are a significant portion of total return. Reinvesting dividends rather than taking them as cash means those dividends immediately start compounding. Over 30 years, dividend reinvestment can account for 30-40% of total portfolio growth.
**Minimize fees.** Investment fees directly reduce your compound growth. A 1% annual fee on a $500,000 portfolio costs $5,000/year — and that $5,000 never compounds. Over 30 years, a 1% fee reduces your ending balance by approximately 25% compared to a 0.1% fee. Choose low-cost index funds (Vanguard, Fidelity, Schwab offer funds with 0.03-0.10% expense ratios) over actively managed funds. For investment income tax planning, see our capital gains tax calculator.
**Use tax-advantaged accounts first.** Money in a Roth IRA compounds entirely tax-free. In a traditional 401(k), it compounds tax-deferred. In a taxable brokerage account, you pay taxes on dividends and capital gains annually, reducing your effective compound rate by 1-2%. Prioritize: employer 401(k) match → Roth IRA ($7,000/year limit) → additional 401(k) → taxable accounts. Learn more about how we source our data from the Federal Reserve and FDIC.
State-specific note
Compound interest calculations are the same regardless of state. However, the tax treatment of interest income varies: nine states (Alaska, Florida, Nevada, New Hampshire, South Dakota, Tennessee, Texas, Washington, Wyoming) charge no state income tax on interest earnings. In taxable accounts, federal tax on interest income ranges from 10-37% depending on your bracket — see our [after-tax income calculator](/money/taxes/after-tax-income) for your effective rate.
This calculator uses the standard compound interest formula with monthly compounding: FV = P × (1 + r/12)^(12t) + PMT × [((1 + r/12)^(12t) - 1) / (r/12)], where P is your initial deposit, PMT is your monthly contribution, r is the annual interest rate (as a decimal), and t is the time period in years. This is the inverse of amortization — where amortization calculates how a loan balance decreases over time, compound interest calculates how a savings balance increases. Monthly compounding is used because most savings accounts, money market funds, and investment accounts compound on a monthly or more frequent basis.
The formula assumes contributions are made at the end of each month and interest compounds monthly. Returns in taxable accounts are subject to state and federal income tax — nine states charge 0% while others charge up to 13.3%, affecting your effective after-tax return rate. The low-to-high range accounts for rate variability over the investment period — actual returns fluctuate year to year, especially in stock market investments where annual returns can range from -30% to +30% while averaging 7-10% over decades.
<iframe
id="pc-compound-interest"
src="https://pennycheck.com/embed/money/savings/compound-interest"
width="100%" height="650" frameborder="0"
style="border:none;overflow:hidden"
title="Compound Interest Calculator — Watch Your Money Grow (2026)">
</iframe>
<script>
window.addEventListener("message",function(e){
if(e.data&&e.data.type==="pennycheck-resize"&&e.data.slug==="compound-interest"){
document.getElementById("pc-compound-interest").style.height=e.data.height+"px";
}
});
</script>Data sources