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Math of Money

Compound Interest: Why Starting Early Beats Investing More

How compound interest works, why ten years of saving in your 20s can beat thirty years starting at 35, the Rule of 72, and what the examples assume.

By S M Ariful Islam ShawonUpdated 4 min read

Frequently asked questions

What is the difference between simple and compound interest?

Simple interest is paid only on your original deposit. Compound interest is paid on your deposit plus the interest it has already earned, so your balance grows by a larger dollar amount each period.

How often should interest compound?

More frequent compounding (daily or monthly vs. annually) earns slightly more at the same stated rate, which is why savings accounts quote APY. The difference is small compared with the effect of your rate, contributions, and time.

Is a 7% return realistic?

It's a common planning assumption for a long-term, stock-heavy portfolio, not a promise. Actual returns vary a lot from year to year and can be negative. Savings accounts and CDs pay much less but don't lose value. Test a few different rates to see how sensitive your plan is.

What is the Rule of 72?

Divide 72 by your annual rate of return to estimate how many years it takes to double your money. At 6%, money doubles in about 12 years; at 9%, about 8 years. It's an approximation that works best for rates between about 4% and 12%.

Calculators used in this guide

Sources

Disclaimer: This guide is general education, not financial, tax, or legal advice. Examples use round, hypothetical numbers; your results depend on your own loan terms, taxes, and circumstances. See oureditorial policy for how guides are written and corrected.

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