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Compound Interest: The Most Powerful Force in Investing

Discover how compound interest works, why Einstein called it the eighth wonder of the world, and how to use it to build wealth.

Compound interest is interest earned on both your initial investment AND previously earned interest. This "interest on interest" causes your money to grow exponentially over time.

The Compound Interest Formula

A = P(1 + r/n)^(nt), where P is principal, r is annual rate, n is compounding frequency per year, and t is years. The more frequently interest compounds, the faster your money grows.

Why Starting Early Matters

Time is more important than amount. Someone who invests $200/month from age 25-35 ($24,000 total) will have MORE at 65 than someone who invests $200/month from age 35-65 ($72,000 total), assuming the same return rate.

Compounding Frequency

  • Annually: Interest added once per year
  • Monthly: Most common for savings accounts
  • Daily: Some high-yield accounts compound daily
  • Continuously: Theoretical maximum using e^(rt)

The Rule of 72

Divide 72 by your annual return to estimate how many years until your money doubles. At 8% return, your money doubles every 9 years.

Frequently Asked Questions

What is the difference between simple and compound interest?
Simple interest is calculated only on the principal. Compound interest is calculated on principal plus accumulated interest, causing exponential growth.
How does compound interest work with regular contributions?
Each contribution also earns compound interest. This is why consistent investing, even small amounts, builds significant wealth over time.
What is APY?
APY (Annual Percentage Yield) accounts for compounding, showing the actual annual return. APY is always higher than the nominal rate when compounding occurs more than once per year.