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Free Calculator

Compound Interest
Calculator

Discover how your investments grow over time. Enter your details below and see the power of compounding work for you.

Enter Your Investment Details

All fields are required. Compounding frequency: monthly.

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$
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Between 1 and 50 years

Formula used: FV = P × (1 + r/12)12t + PMT × [((1 + r/12)12t − 1) / (r/12)], where P is the initial principal, PMT is the monthly contribution, r is the annual rate, and t is the number of years.

What Is Compound Interest?

Compound interest is interest calculated on both your initial principal and the interest you have already earned. Unlike simple interest — which only pays on your original deposit — compound interest causes your balance to grow exponentially over time. This is why it is one of the most powerful forces in personal finance.

The longer your money compounds, the more dramatic the effect. A $10,000 investment earning 7% annually grows to roughly $19,670 after 10 years. Let it sit for 30 years and it reaches approximately $76,120 — without adding a single dollar more.

Monthly compounding (what this calculator uses) grows your balance slightly faster than annual compounding because interest is added to your principal 12 times per year, giving each addition more time to earn its own interest.

Understanding the Formula

The formula this calculator uses combines your lump-sum growth and monthly contributions:

FV = P × (1 + r/12)12t + PMT × [((1 + r/12)12t − 1) / (r/12)]
  • FV — Future value: your total balance at the end of the period
  • P — Principal: your initial lump-sum investment
  • r — Annual interest rate as a decimal (7% = 0.07)
  • t — Time in years
  • PMT — Monthly contribution added each period

Real-World Compounding Examples

These scenarios illustrate how starting early and contributing consistently changes your outcome significantly.

Early Retirement Saver

$5,000 initial · $300/month · 7% return · 30 years → ~$369,000

Mid-Career Catch-Up

$20,000 initial · $500/month · 6% return · 20 years → ~$269,000

College Education Fund

$1,000 initial · $200/month · 5% return · 18 years → ~$67,000

Illustrative only. Returns are not guaranteed and vary based on market conditions.

Planning for your family's future? Compound interest shows how savings grow — but protecting those savings matters equally. Use our free life insurance calculator to make sure your family is covered if something happens to you.

Frequently Asked Questions

More frequent compounding means faster growth, but the difference is smaller than most people expect. Monthly compounding is standard for most savings accounts, CDs, and investment accounts. Annual compounding is used in some bonds. For long-term planning, the gap between monthly and annual compounding at 7% over 30 years is roughly 0.3 percentage points annually — meaningful but not dramatic.
Financial planners commonly use 6%–7% as a conservative long-term assumption for a diversified stock/bond portfolio after inflation. The S&P 500 has historically returned around 10% annually before inflation and ~7% after inflation, but past performance does not guarantee future results. For a conservative scenario use 5–6%, for moderate use 7%, for aggressive equity portfolios 8–10% is sometimes modeled.
No. This calculator shows gross compounding growth before taxes. In tax-advantaged accounts like a 401(k) or Roth IRA, your money grows tax-deferred or tax-free, so the result is more accurate for those. In a standard taxable brokerage account you would owe capital gains and potentially dividend tax each year, reducing your effective return. Consult a financial advisor for personalized after-tax projections.
APR (Annual Percentage Rate) is the simple annual rate without accounting for compounding. APY (Annual Percentage Yield) includes the effect of compounding within the year. A savings account advertising 5% APR with monthly compounding has an actual APY of approximately 5.12%. When comparing savings products, APY is the more accurate number. This calculator uses the APR you enter and applies monthly compounding, equivalent to the APY calculation.