Definition
Compound interest
Compound interest is interest paid on both the original amount and on the interest already added. Each period the balance grows, so the next period earns interest on a larger sum, and the growth accelerates as time goes on.
Simple interest, by contrast, is always worked out on the original amount only, so it grows in a straight line. The difference between the two is small over a year and substantial over decades, which is why the time horizon matters so much.