Compounding 101 for Beginners

Rule of 72, dollar-cost averaging, and the dividend myth — plus a free calculator to watch money snowball.

搭配工具使用:Compound Interest Calculator

What compounding is: the Rule of 72

Compounding means interest earns interest: this year’s 5% joins the principal next year, so the curve steepens with time. Mental shortcut: 72 divided by the annual return equals doubling years — 6% doubles in ~12 years, 8% in ~9.

It cuts both ways: borrowed money (credit cards, personal loans) compounds against you. Lesson one is always clearing high-interest debt before investing.

Why dollar-cost averaging suits beginners

A beginner’s biggest enemy is not picking wrong — it is stopping. Fixed monthly investing automates discipline: downturns buy more units automatically (the smile curve), no timing needed.

Small amounts are fine. $100 a month at 7% for 30 years is about $122,000 — the key number is 30 years, not $100. Stay consistent first, scale up later.

The dividend myth: payouts are not profit

Dividends come out of net asset value: the NAV drops by the payout on ex-dividend day, so you receive your own money from left hand to right. Compare funds by total return, never by yield alone.

A 10% yielder with shrinking NAV loses long-term to a 3% yielder with steady growth. Run “payout” vs “reinvest” in the calculator and see the ending-asset gap yourself.

Model it in three steps

Open the compound calculator: enter lump sum, monthly amount, and years; set the annual return (start with a conservative 5–8%) and yield; then compare ending assets and toggle payout vs reinvest.

Ask three questions after: can I keep this up that long? Is the return assumption too rosy? Am I fine with reinvesting? Three yeses and the plan counts.

常見問題

How much should I invest monthly?

Consistency first, amount second: $100 a month at 7% for 30 years is about $122,000. Skipping a year hurts more than saving $30 less.

What return rate is reasonable for modeling?

Run 5–8% as the conservative case and 10% as the optimistic one, side by side. Past averages do not promise future results.

Should I pause when the market drops?

Downturns buy more units — that is the bottom half of the smile curve. Unless you need the cash, never pausing is the whole strategy.

Does compounding work with tiny capital?

Yes, but invisibly for years — compounding explodes late. Small capital trains discipline and builds the first pot; time does the scaling.