The Mathematics and Power of Compound Interest
Compound interest generates returns on both principal and accumulated interest, creating exponential growth. The frequency of compounding impacts growth, with daily compounding producing slightly better results than annual. Time has exponential impact - starting early produces dramatically better outcomes than contributing larger amounts later.
Regular contributions amplify compound interest. Contributing $500 monthly for 30 years at 8% accumulates approximately $745,000, with about $565,000 from compound growth rather than contributions. A 2% difference in annual returns produces enormous wealth differences over decades - $100,000 at 6% for 30 years yields $574,000 while 8% yields $1,006,000 ($432,000 difference).