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Compound Interest Calculator

Project savings growth from principal, contributions, rate, and time.

Contribution frequency
Final balance
Total contributions
Total interest earned

What is compound interest calculator?

Compound interest is interest that earns interest. Each period the account balance grows by balance × rate, and that new larger balance is what next period’s interest is calculated on. Over long time horizons the effect dominates the original principal: $10,000 left alone at 7% for 40 years becomes roughly $150,000 — fifteen times the starting amount, with no further contributions.

The standard formula for a lump-sum investment is A = P × (1 + r/n)^(n × t), where P is the principal, r is the annual rate as a decimal, n is the compounding frequency per year, and t is years. Add periodic contributions and the formula gets messier; this calculator simulates the account period by period rather than apply a closed-form formula, so the math stays correct even for irregular compounding/contribution combinations.

The biggest lever for most savers isn’t rate of return — it’s time. A 25-year-old contributing $200/month at 7% until age 65 has $526,000 at retirement. The same 35-year-old has only $245,000 — half — because they lost the first decade of compounding. The year-by-year breakdown makes this concrete: in early years contributions dominate, but in the last decade interest earned each year exceeds total contributions for the year.

When to use a compound interest calculator

  • Projecting a 30-year investment plan — A 35-year-old with $10,000 saved and $500/month going into an index fund wants to see what they'll have at 65 assuming a 7% average return.
  • Comparing compounding frequencies — Same principal, contributions, and rate — see how much extra growth you get from monthly vs annual compounding over a long time horizon.
  • Setting a savings target — Work backward from a goal: how many years of $200/month at 6% will it take to hit $50,000? Adjust years until the final balance matches.

How to use the Compound Interest Calculator

  1. Enter starting principal and contributionsType the amount you start with and how much you'll add each month or year. Use the segmented toggle to pick monthly or annual contributions.
  2. Set rate and time horizonEnter the expected annual rate as a percentage (7 = 7%) and the number of years. Pick the compounding frequency that matches the account (most savings/investment accounts compound daily or monthly).
  3. Review the year-by-year breakdownExpand the schedule to see contributions, interest earned, and balance for each year. Download as CSV to model further in a spreadsheet.

Worked examples

Long-horizon investment

Input:  $10,000 + $500/mo, 30 years, 7%, monthly compounding
Output: Final balance ≈ $689,000 (contributions $190,000, interest $499,000)

Compounding bump

Input:  $10,000, $0 contribution, 10 years, 7%, annual vs monthly
Output: Annual: $19,672. Monthly: $20,097.

More frequent compounding gives slightly more growth at the same nominal rate.

No-interest baseline

Input:  $0 + $200/mo, 5 years, 0%
Output: Final balance $12,000 (all contributions, no interest)

Frequently asked questions

What's the difference between APR and APY?
APR (annual percentage rate) is the nominal rate; APY (annual percentage yield) bakes in the effect of compounding. A 7% APR compounded monthly is about 7.23% APY. This tool uses APR — enter the rate exactly as quoted (e.g. '7' for 7% APR), and pick the compounding frequency separately.
Why does compounding frequency matter?
At the same nominal rate, more frequent compounding produces a slightly higher final balance because each compounding period's interest starts earning interest itself. The effect is biggest at high rates over long horizons. For typical savings rates (2–5%) the difference between monthly and daily is small.
When are contributions added?
End of each contribution period (annuity-immediate convention). A monthly $500 contribution is deposited at the end of each month; it doesn't earn interest for the month it was deposited. Beginning-of-period contributions would yield slightly more growth — most retirement planners use end-of-period, so this tool follows that convention.
Does this model taxes or fees?
No — it computes pre-tax, pre-fee growth. To estimate after-tax growth for a taxable account, subtract your marginal tax rate from the annual return before entering it. For a tax-advantaged account (Roth IRA, 401(k)), the projection is the actual after-tax balance you'd see at retirement (for Roth) or the pre-withdrawal balance (for traditional).
What return should I use?
Historical US stock market returns average roughly 7% real (after inflation) or 10% nominal over very long horizons. Bond-heavy portfolios are closer to 3–5%. The 'right' number depends on your asset mix and time horizon — but 7% nominal is a reasonable starting point for a stock-heavy portfolio.
Why does my balance keep growing after I stop contributing?
Compound interest. Once the principal is large, the interest earned on it can outpace your contributions. A $500k portfolio at 7% earns $35k/year in interest alone — more than $500/month in contributions adds. This crossover is the most important reason to start early.
How do I model an irregular contribution schedule?
This tool assumes a steady recurring contribution. For irregular contributions, you can approximate by using the average monthly amount, or run multiple projections and add them — but a spreadsheet or dedicated retirement planner handles that case better.
What about inflation?
The result is in nominal dollars — the actual dollar amount you'd see in the account. To see today's-dollars purchasing power, subtract an inflation estimate (e.g. 2–3%) from the annual rate before entering it. A 7% nominal return with 3% inflation is about a 4% real return.