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Compound Interest

Interest that earns interest — the engine behind long-term growth.

Simple definition

Compound interest is what happens when your money earns a return, and then that return earns its own return. Picture a snowball rolling downhill: the bigger it gets, the faster it grows. Time is the hill. It works powerfully in your favor when you save and invest — and against you when you carry debt.

Why it matters

Compounding is why starting early beats starting big. A modest amount invested in your twenties can outgrow a larger amount started in your forties, because it has more years to snowball. Understanding it changes how you think about every dollar you save or borrow.

Real-life example

Invest $200 a month for 30 years at a 7% average return, and you'd put in $72,000 but end up with roughly $245,000 — the extra ~$173,000 is compounding at work. Wait 10 years to start, and the same $200 a month grows to far less. The early years matter most.

Formula

Future value = P × (1 + r)^n (P = principal, r = rate per period, n = number of periods)

Common mistakes

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Frequently asked questions

What's the difference between simple and compound interest?

Simple interest is paid only on your original amount. Compound interest is paid on your original amount plus all the interest already earned — so it grows faster over time.

How often does interest compound?

It depends on the account or investment — daily, monthly, or yearly. More frequent compounding grows a little faster, but the biggest driver by far is time.

Does compound interest work against me on debt?

Yes. On a credit card, unpaid interest gets added to your balance and then charged interest itself — which is how a small balance can balloon.

Learn the skill behind it

Sources & references

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Plain-English education — not personalized legal, tax, or investment advice.