A Tale of Compounding
$24, 7.15% a year, 400 years, $24 trillion. The Manhattan thought experiment, and why time is an investor's most powerful advantage.
In 1626, so the legend goes, Dutch colonists bought Manhattan for trade goods worth about $24.
The history is messier than the legend. But everyone tells it the same way: what a bargain.
Here’s a better question. What if that $24 had been invested instead, earning 7.15% a year for 400 years?
Twenty-four trillion dollars. The same digits, just followed by twelve zeros. That’s a trillion-fold increase. No new money added. No market timing. No heroic stock picks. Just a sensible return and an enormous amount of time.
The one rule that makes it click
At 7.15%, money doubles about every 10 years. Ten doublings (one century) turn every dollar into about a thousand.
That’s it. That’s the whole engine. Four centuries means multiplying by a thousand four times:
- Year 0$24
- 100 yrs$24K×1,000
- 200 yrs$24M×1,000
- 300 yrs$24B×1,000
- 400 yrs$24T×1,000
Every century, add three zeros. Four centuries: ×1 trillion.
Look where the money shows up. After a full century, the $24 is worth $24,000, a rounding error. After three centuries, it’s $24 billion. Then, in the final hundred years alone, it goes from billions to trillions.
The biggest gains arrive after the longest wait.
You don’t need 400 years
Four centuries is absurd on purpose. But the same pattern (small early, huge late) plays out in a single working life.
Put $10,000 away at 7.15% and leave it alone:
Every decade doubles the pot.
Now look at what each decade adds:
- Decade 1: $10K
- Decade 2: $20K
- Decade 3: $40K
- Decade 4: $80K
The last ten years add more than the first thirty combined ($80K vs. $70K). That’s the whole case for starting early. It’s also why getting interrupted late in the game costs so much more than getting interrupted early.
$24 vs. Manhattan
Estimates of Manhattan’s total property value vary wildly by method, from roughly $1 trillion to several trillion.
The comparison is only an illustration, but the point stands: given enough time, a tiny sum can rival one of the most valuable pieces of land on Earth.
Why almost nobody gets the full benefit
The math is easy. The behavior is hard.
Investors interrupt compounding constantly. They chase what already went up, trade too often, panic in downturns, and sell great businesses too early.
But the real enemy isn’t volatility. It’s permanent loss. A portfolio that dips can recover. Capital that’s destroyed can never compound again, and capital lost late gives up its most productive decade.
So long-term investing takes two disciplines:
- Patience to let strong assets grow.
- Judgment to avoid mistakes you can’t undo.
Patience without judgment is complacency. Judgment without patience is overtrading. You need both.
The Kuberin view
The starting amount matters. The return matters. But the length of the runway may matter most, and it’s the one thing you can never buy back.
$24. 7.15% a year. 400 years. $24 trillion.
It looks like magic. It’s just arithmetic: earn a return, keep it invested, repeat. Then give time permission to do what it does best.
Calculation note. Figures are rounded for readability and computed from the compound-growth formula, FV = PV × (1 + r)^n. The exact 400-year result at 7.15% is about $23.8 trillion; a rate of 7.152% gives exactly 1,000× per century and $24 trillion after 400 years. At this rate money doubles about every 10.0 years. The illustration assumes a constant 7.15% return with no taxes, fees, inflation, or withdrawals. Real returns are uneven, and all figures are nominal; inflation compounds against the investor just as returns compound for them.
Disclaimer. Educational content only. Not investment, legal, tax, or financial advice. Past performance does not guarantee future results. All investments involve risk, including possible loss of principal.