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Compound Interest Visualizer

Initial balance, monthly contributions, and return rate, visualized year by year — with the split between what you put in and what compounding earned you.

Your plan

Final balance
$650,568
After 30 years
You put in
$185,000
Contributions only
Growth earned
$465,568
72% of the final balance
Compounding takes over
Year 18
$119,923 growth vs $113,000 put in

Balance vs. contributions, year by year

-$26,023$152,883$331,790$510,696$689,602Yr 1Yr 16Yr 30
Start nowYou contributed (dashed)

The gap between the two lines is compounding at work — notice how it stays small for years, then explodes late. Time in the market matters more than timing it.

Year-by-year ledger
YearStartingContributedGrowthEnding
1$5,000$6,000$558$11,558
2$11,558$6,000$1,032$18,590
3$18,590$6,000$1,540$26,130
4$26,130$6,000$2,085$34,215
5$34,215$6,000$2,670$42,885
6$42,885$6,000$3,296$52,181
7$52,181$6,000$3,968$62,149
8$62,149$6,000$4,689$72,839
9$72,839$6,000$5,462$84,300
10$84,300$6,000$6,290$96,591
11$96,591$6,000$7,179$109,770
12$109,770$6,000$8,132$123,901
13$123,901$6,000$9,153$139,054
14$139,054$6,000$10,249$155,303
15$155,303$6,000$11,423$172,726
16$172,726$6,000$12,683$191,409
17$191,409$6,000$14,033$211,442
18$211,442$6,000$15,481$232,923
19$232,923$6,000$17,034$255,958
20$255,958$6,000$18,699$280,657
21$280,657$6,000$20,485$307,142
22$307,142$6,000$22,400$335,542
23$335,542$6,000$24,453$365,994
24$365,994$6,000$26,654$398,648
25$398,648$6,000$29,015$433,663
26$433,663$6,000$31,546$471,209
27$471,209$6,000$34,260$511,469
28$511,469$6,000$37,170$554,639
29$554,639$6,000$40,291$600,930
30$600,930$6,000$43,638$650,568

A model, not a prediction — pre-tax, no fees, future dollars, and the return is assumed constant every year. Real markets zigzag; the average is what compounds.

How the math works

Each month the balance grows by annual return ÷ 12, then the monthly contribution is added (end-of-month compounding). Year by year, the chart separates contributions (every dollar you put in) from growth (balance minus contributions).

The closed-form equivalent is the future value of an ordinary annuity plus the compounded lump sum: FV = P·(1+r)n + PMT·(((1+r)n − 1) / r), where r is the monthly rate and n is the number of months. The simulation matches this formula exactly.

This is a nominal model — it doesn't subtract inflation. At 3% inflation, a 7% nominal return is roughly 4% in today's purchasing power. And it assumes a smooth fixed return every year; real markets are volatile, which changes the path but not the long-run math.

Common questions

Why does the growth line stay flat for so long and then shoot up?+

Compounding is exponential but starts from a small base — early on, your contributions dominate. Around the crossover point (often year 15–20 at 7%), the balance is large enough that its own growth exceeds what you're adding. That's why starting early beats contributing more later.

Is 7% annual return realistic?+

The US stock market has returned roughly 10% nominal / 7% inflation-adjusted over long periods — but that's an average with brutal down years mixed in. This model assumes the smooth average every year, which overstates the predictability. Use 7% for planning, not as a promise.

Should I use nominal or real (inflation-adjusted) returns?+

For 'what will this buy me' questions, real returns are more honest: subtract ~2–3% inflation from the nominal rate. A 7% nominal return at 3% inflation is about 4% real — try both settings and compare the final balances to feel the difference inflation makes.

Does it matter whether I contribute at the start or end of the month?+

Barely — beginning-of-month contributions earn one extra month of growth each, worth roughly half a percent over decades. Consistency and amount swamp timing details. Automate the contribution and forget about it.

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