The Basic Idea
Compound interest means you earn returns not just on your original investment, but also on the returns that investment has already generated. Over short periods this looks unremarkable. Over decades, it becomes the single biggest factor in most people's long-term wealth.
Future Value = Principal × (1 + rate)years
A Concrete Example
Invest $10,000 once at an average 7% annual return:
- After 10 years: ~$19,672
- After 20 years: ~$38,697
- After 30 years: ~$76,123
- After 40 years: ~$149,745
Notice that the growth from year 30 to 40 ($73,622) is nearly as large as the entire first 30 years combined. That's compounding accelerating over time — the same reason starting even a few years earlier has an outsized effect on your final number.
Why Starting Early Beats Starting Big
Consider two people investing $300/month at 7% average return:
- Investor A starts at age 25 and stops contributing at 35 (10 years, $36,000 invested total).
- Investor B starts at age 35 and contributes until 65 (30 years, $108,000 invested total).
By age 65, despite investing three times less money, Investor A often ends up with a comparable or larger balance than Investor B, purely because their money had an extra decade to compound. This is the single most repeated lesson in retirement planning, and it's genuinely true — try it yourself with a Compound Interest Calculator.
The Rule of 72: A Mental Shortcut
To estimate how long it takes an investment to double at a given rate, divide 72 by the interest rate. At 7%, that's roughly 10.3 years. At 10%, about 7.2 years. This shortcut is accurate enough for quick mental math and helps build intuition for how rate differences compound over time.
Compounding Frequency Matters (A Little)
Interest can compound annually, monthly, or daily. More frequent compounding produces slightly higher returns for the same nominal rate, but the effect is much smaller than the effect of rate or time — don't obsess over compounding frequency at the expense of simply investing consistently and staying invested longer.
The Flip Side: Compound Interest Working Against You
The same math applies to debt. Credit card balances carried month to month compound against you, often at 20%+ APR — meaning debt can grow just as relentlessly as investments grow, which is exactly why paying off high-interest debt is frequently a better "return" than investing while that debt exists.