Albert Einstein allegedly called compound interest the eighth wonder of the world, yet most people never harness its power because they start too late or misunderstand how it actually works. This explores the mathematics of exponential growth through real historical examples: how Warren Buffett accumulated 99% of his wealth after age 50, why starting at 25 versus 35 creates a seven-figure difference by retirement, and the role of time horizons in investment returns. We break down the difference between simple and compound interest using accessible language, then examine how this principle applies beyond savings accounts—to stock portfolios, real estate appreciation, and business reinvestment. The controversial angle: compound interest also works against you through credit card debt and predatory lending, yet financial education rarely emphasizes this symmetry. By understanding the mechanics of exponential curves, you'll recognize why your grandmother's advice to "start early" wasn't quaint wisdom but mathematical inevitability.
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