Compound Interest, Explained With a 20-Year, $100/Month Simulation

Compound interest is often described as «magic,» which makes it sound abstract. It isn’t — it’s a specific, calculable effect of earning returns not just on what you put in, but on the returns those returns already generated. Here’s what it actually produces with a modest, realistic contribution.

The Setup

Monthly contribution: $100 Time horizon: 20 years Assumed average annual return: 7% (a commonly cited long-run average for a diversified stock index fund, before inflation)

The Numbers

Total contributed over 20 years: $100 × 12 × 20 = $24,000 Ending balance at 7% average annual return: approximately $52,400

That means more than half of the final balance — roughly $28,400 — came from investment growth, not from money you actually put in. This is the part that’s counterintuitive: in the early years, growth is small and unimpressive, but it accelerates because each year’s returns are calculated on a larger base.

Why the First 10 Years Feel Slow

Breaking the same simulation down by decade:

  • After 10 years: contributed $12,000, balance ≈ $17,300 (growth ≈ $5,300)
  • After 20 years: contributed $24,000, balance ≈ $52,400 (growth ≈ $28,400)

The growth in the second decade is more than five times the growth in the first decade, despite the same monthly contribution — because the balance being compounded is much larger by year 11 than it was in year 1. This is why financial advisors emphasize starting early over starting with a large amount: time in the market does more work than the size of any individual contribution.

What Happens If You Start 10 Years Later

If the same $100/month is instead started at year 10 and run for only 10 years at the same 7% average return, the ending balance is approximately $17,300 — less than a third of the 20-year result, despite only losing half the time. Delaying by half the time horizon costs more than half the final balance, because the lost years were the ones where the smaller base had the most time left to compound.

The Practical Takeaway

Compound interest rewards consistency and time far more than it rewards the exact dollar amount contributed. A person who invests $100/month starting today will typically end up ahead of someone who waits five years to start investing $150/month instead — the earlier start outweighs the larger later contribution in most realistic scenarios.

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