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Finance8 min readMay 23, 2026

Compound Interest Explained — How Your Money Doubles While You Sleep

Understand how compound interest works with real examples, the Rule of 72, and a step-by-step guide to maximizing investment returns over time.

The Power of Compound Interest

Albert Einstein reportedly called compound interest the eighth wonder of the world: 'He who understands it, earns it; he who doesn't, pays it.' Unlike simple interest, which is calculated only on your initial deposit, compound interest calculates interest on your principal PLUS all previous interest earned.

Over time, this compounding creates an exponential growth curve, turning modest monthly savings into substantial wealth portfolios.

The Compound Interest Formula

The formula to estimate future value with compound interest is:

  • A = P(1 + r/n)^(nt)
  • A = Final balance, P = Initial principal amount, r = Annual interest rate (decimal)
  • n = Number of times interest compounds per year, t = Total years invested
Note: Rule of 72: A quick shortcut to estimate how long it takes your money to double is to divide 72 by your annual interest rate. For example, at an 8% return rate, your money will double in 9 years.

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