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Investing Basics

What Is Compound Interest?

Compound interest is interest earned on both your original principal and previously accumulated interest. Learn how it works, the formula, and real-world examples.

Definition

Compound interest is the interest you earn on both your initial deposit (the principal) and the interest that has already been added to it. Unlike simple interest, which only calculates interest on the original amount, compound interest creates a snowball effect where your money grows at an accelerating rate over time.

The frequency of compounding matters. Interest can compound annually, quarterly, monthly, or even daily. The more frequently interest compounds, the faster your money grows. Most savings accounts compound daily, while many investment returns compound annually.

Albert Einstein is often credited with calling compound interest the "eighth wonder of the world," and while the attribution is debated, the sentiment is accurate. A single dollar invested at 10% annual return grows to $2.59 in 10 years, $6.73 in 20 years, and $17.45 in 30 years -- without adding a single extra dollar.

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Real-World Example

If you invest $10,000 at 7% annual interest, after year one you have $10,700. In year two, you earn 7% on $10,700 (not just the original $10,000), giving you $11,449. After 30 years, that $10,000 grows to over $76,000 -- even though you never added another penny. The interest earned ($66,000+) is more than six times your original investment.

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Why It Matters

Compound interest is the single most powerful force in personal finance. It rewards patience and punishes procrastination. Starting to invest at 25 instead of 35 can mean hundreds of thousands of dollars more by retirement, even if you invest the exact same amount. It also works against you with credit card debt -- unpaid balances compound, making minimum payments a trap. Understanding compounding is the foundation of every smart financial decision.

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Frequently Asked Questions

What is the formula for compound interest?

The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest compounds per year, and t is the number of years.

What is the difference between simple and compound interest?

Simple interest is calculated only on the original principal. Compound interest is calculated on the principal plus all previously accumulated interest. Over time, compound interest grows significantly faster.

How often does compound interest compound?

It depends on the account. Savings accounts typically compound daily, CDs may compound monthly or quarterly, and investment returns are often quoted as annual rates. More frequent compounding means slightly faster growth.

Can compound interest work against you?

Yes. Credit card debt, student loans, and other borrowing also compound. If you carry a balance on a credit card at 20% APR, you pay interest on your interest, which is why debt can spiral quickly.

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