Compound interest is often called "the eighth wonder of the world" and for good reason—it's one of the most powerful forces in building wealth. Unlike simple interest, which only calculates returns on your original principal, compound interest earns returns on both your initial investment AND the interest you've already accumulated.
Here's how it works: when you invest $10,000 at 7% annual interest, you earn $700 in the first year. With simple interest, you'd earn $700 every year. But with compound interest, your second year earns interest on $10,700—giving you $749. By year three, you're earning on $11,449. This snowball effect accelerates dramatically over time.
The compound interest formula is: A = P(1 + r/n)^(nt)
- A = Final amount
- P = Principal (initial investment)
- r = Annual interest rate (as a decimal)
- n = Number of times interest compounds per year
- t = Time in years
The key takeaway? Time is your greatest ally. An investment of $10,000 at 7% annual interest grows to $19,671 in 10 years, $38,696 in 20 years, and $76,122 in 30 years—without adding a single additional dollar. When you combine time with regular contributions, the results become truly remarkable.