JAY Project
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💰 Compound Interest

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The Magic of Compound Interest

Albert Einstein reportedly called compound interest "the eighth wonder of the world."Whereas simple interest only earns returns on the original principal, compound interest earns returns on both the principal and the accumulated interest. Over time, the gap grows exponentially — creating a powerful snowball effect.

📐 Formula: A = P × (1 + r/n)nt
P = Principal, r = Annual rate, n = Compoundings per year, t = Years invested

Simple vs. Compound: How Different After 30 Years?

Suppose you invest ₩10M at an 8% annual return for 30 years:

  • Simple interest after 30 years: ₩10M + (₩10M × 8% × 30) = ₩34M
  • Compound interest after 30 years: ₩10M × (1.08)30₩100.6M

Same principal, same rate — yet compound interest delivers roughly 3× more wealth than simple interest.

The Rule of 72 — How Long to Double Your Money

The Rule of 72 is a quick mental shortcut to estimate how many years it takes for an investment to double at a given annual return.

Years to double ≈ 72 ÷ Annual Return (%)
At 8%: 72 ÷ 8 = 9 years to double
At 6%: 72 ÷ 6 = 12 years
At 12%: 72 ÷ 12 = 6 years

Why Time Beats Rate

The single most powerful variable in compound interest is time, not rate. Someone who starts investing ₩1M per month at age 25 will often end up with more wealth than someone who invests ₩2M per month starting at age 35 — even though the late starter contributes more dollars per month overall.

  • Start now, even with a small amount. The earlier you start, the longer your money has to compound.
  • Reinvest all returns. Don't withdraw interest or dividends — let them compound to maximize the effect.
  • Minimize fees. A 1% difference in annual fees can compound into tens of millions of won over 30 years.

* Results are pre-tax estimates. Actual returns depend on market conditions and may vary.

Frequently Asked Questions

Q. Simple vs compound interest?

Simple adds interest only to principal; compound adds interest on interest. KRW 10M at 7% over 30 years: simple = 31M, compound = 76M — 2.5× the difference.

Q. Monthly vs annual compounding?

For the same nominal rate, more frequent compounding yields a slightly higher effective rate. This calculator defaults to monthly.

Q. Is a 7% annual return realistic?

S&P 500 long-term average is ~7-10% (5-7% inflation-adjusted). Korean KOSPI tends to be lower; assume 5-6% to be conservative.

Q. When does compounding really kick in?

It's exponential. The first 10 years feel slow; after 20 years values 2-3× faster. Starting early is the biggest lever.

Q. Is raising the monthly contribution effective?

Yes. Adding KRW 500k/month in your late 30s beats adding KRW 1M/month in your 50s.

Q. How do I factor in inflation?

Subtract expected inflation (2-3%/yr) from the annual return to compute real-value growth.