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Compound Interest Calculator — With Monthly Contributions

Compound interest growth: initial principal + monthly contributions. Year-by-year breakdown with total interest earned. For savings, ETFs, retirement, FIRE planning. Free.

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Leave empty if no contribution
Final value
Total contributions
Total interest earned
Multiplier

Year-by-year breakdown

Year Start Added Interest End

Compound interest — Einstein called it "the eighth wonder of the world". Money + interest auto-reinvest. Try 10%/year for 30 years to see the magic.

What is compound interest?

Compound interest = interest earned also earns interest. Unlike simple interest, which only counts the original principal.

Compounding is sometimes called the eighth wonder of the world: those who understand it earn it; those who don't, pay it.

When this tool helps

Compound interest with regular contributions

FV = P × (1 + r/n)^(n×t) + PMT × [((1 + r/n)^(n×t) − 1) / (r/n)]

P    = initial principal
PMT  = contribution per period
r    = annual rate
n    = compounds per year (12 = monthly, 4 = quarterly, 1 = yearly)
t    = years
FV   = future value

Compounding frequency

More frequent compounding helps more at higher rates; barely matters at low rates.

Rule of 72 — quick mental math

Years to double money ≈ 72 / (rate %).

Practical caveats

FAQ

How does compound interest differ from simple interest?

Simple interest only earns on the original principal — $100k at 8%/year is $8k each year. Compound interest adds earned interest back to principal — year 2 earns interest on $108k, year 3 on $116.64k. Over 30 years, $100k grows to ~$1M with compounding versus only ~$340k with simple interest.

What is the Rule of 72?

Years to double your money ≈ 72 / (rate %). At 6% it doubles in 12 years; at 8%, 9 years; at 12%, 6 years. It works in reverse for inflation: 4%/year inflation halves your purchasing power in 18 years.

Are bank deposits actually compounded?

Depends on the product. A 12-month CD that auto-renews → compounded. A deposit that pays interest at maturity which you spend → effectively simple interest. Online savings accounts usually compound monthly. The tool always assumes compounding.

Does compounding frequency (daily/monthly/quarterly) matter much?

At low rates (4-6%), barely — depositing $50k for 10 years differs by only a few hundred dollars between monthly and yearly compounding. At high rates (15%+, like crypto staking), it matters significantly. Most mutual funds and ETFs compound monthly.

Can I plan FIRE (financial independence) with this tool?

Yes. Enter current capital + monthly contribution + expected return (8-10% historically for US equities) + years. The year-by-year table shows when you hit your target. Caveat: 10% is the long-run S&P 500 expectation, not a guarantee. Real return = nominal − inflation.

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