Simple interest, and how it differs from compound
Simple interest is charged only on the original principal. The balance never earns interest on its own interest, so the amount added is the same every single year โ a straight line rather than a curve. That makes it easy to check by hand, and it is the basis of most short-term loans, installment agreements, and bond coupons.
The formula
I = P ร r ร t. Multiply the principal by the annual rate (as a decimal) and by the number of years, and you have the total interest; add it to the principal for the final amount. Because the three inputs are simply multiplied, you can rearrange the formula to solve for any of them โ for example the rate needed to earn a target amount isr = I รท (P ร t).
Why the compound figure matters
The third result above runs the same principal, rate, and term with monthly compounding so you can see the gap. Over a year or two the difference is small; over a decade it becomes the whole point. The gap grows with both the rate and the term, which is why a savings product that pays interest out (simple) can badly lag one that reinvests it (compound) even when the headline rates are identical. When you compare offers, check whether interest is paid away or added back to the balance before you compare rates.