What is compound interest and how does it work?
Compound interest is calculated using the formula A = P(1 + r/n)^(nt), where P is the principal (initial investment), r is the annual interest rate expressed as a decimal, n is the compounding frequency per year, and t is the number of years. Unlike simple interest, which only earns returns on the original principal amount, compound interest earns interest on previously earned interest — creating a snowball effect over time. For example, investing $10,000 at 5% compounded monthly for 10 years gives: A = 10000(1 + 0.05/12)^(12×10) = $16,470.09. Compare this to simple interest: 10000 + (10000 × 0.05 × 10) = $15,000 — compound interest earns $1,470 more. Higher compounding frequency yields slightly more: daily compounding at 5% gives $16,486.65 versus monthly at $16,470.09. Albert Einstein reportedly called compound interest the "eighth wonder of the world." The difference becomes truly dramatic over longer time periods, making early investing critically important.