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C.08 · Investing

The most powerful force in finance, quantified.

Compounding isn't a slogan — it's a function. Set what you have, what you'll add, and how long. The curve tells the rest of the story.

Default rate
7% a year, after inflation
Long-run S&P 500 avg
Inputs
Starting amount
$10,000
Monthly contribution
$500
Yearly growth rateAfter-inflation return — your balance is shown in today's buying power
7.00%
How long you'll invest (years)
20 yrs
Rule of 72. At 7.00% annual return, your money doubles about every 10.3 years.
Balance in 20 years
$300,851in 20 years
You contribute
$130K
Growth earned (on top of what you put in)
$171K
You end with
$301K
Growth over time
Balance (solid) vs. money you put in (dashed)
Balance Money you put in
$0$150K$301Kyr 0yr 10yr 20
The cost of waiting

What one more decade does.

Same contribution, same return. Only the start date changes. This is why the first dollar matters more than the biggest one. Each card shows the ending balance and how it compares to starting now.

Start 10 years earlier
$691K
+$390K vs. today
Start today (20 yr)
$301K
— baseline —
Wait 5 years
$187K
-$113,880 vs. today
Wait 10 years
$107K
-$194,212 vs. today
How we compute this

The curve, in one line.

Future value with an initial balance plus recurring contributions:

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

P = your starting amount · PMT = each monthly deposit · r = the monthly growth rate · n = number of months. We compound monthly here, which is how most index funds pay dividends in practice.

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Frequently Asked Questions

Compound interest means you earn interest on both your original deposit and on the interest you've already earned. Over time, this creates a snowball effect where your money grows exponentially rather than linearly.