What is Compound Interest?
Compound interest means earning interest on both your principal and the interest you've already earned. Unlike simple interest, compound interest grows exponentially — each period's interest becomes part of the base for the next calculation.
For example, if you invest $10,000 at 8% annual interest, you earn $800 in year one. In year two, you earn interest on $10,800 — giving you $864 instead of $800. That extra $64 is compounding in action.
The core formula is: A = P(1 + r/n)^nt
Where:
- A = Final amount
- P = Initial principal
- r = Annual interest rate
- n = Number of compounding periods per year
- t = Number of years