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Basics8 min read

What is compound interest and why it changes everything

Formula, a rupee example, and how compounding shows up in mutual funds — explained simply.

Compound interest means returns on your principal and on past returns — the snowball effect. Below: a clear formula, a small worked example, how SIP and NAV relate to the same idea, and links to try numbers yourself.

Time helps when you start early; inflation raises prices with similar maths, so long idle cash loses purchasing power. Automating investments and avoiding unnecessary redemptions keeps compounding on your side.

Simple interest pays only on the original principal each year. Compound pays on principal and on gains already added — that is the snowball.

The formula (lump sum, easy version)

If you put one amount today and leave it to grow at the same yearly rate, a clean approximation is:

A = P × (1 + r)n
  • P = principal (money you invest today)
  • r = yearly return written as a decimal (10% → 0.10)
  • n = number of years
  • A = amount you end with (rough estimate; real life has fees, taxes, and uneven yearly returns)

Banks sometimes compound monthly; the idea is the same: you earn on a growing balance, not only on the first rupee.

Tiny example with real numbers

You invest ₹10,000 once. Return 10% per year (just for maths — not a promise).

YearStart balance10% returnEnd balance
1₹10,000₹1,000₹11,000
2₹11,000₹1,100₹12,100
3₹12,100₹1,210₹13,310

Check with the formula: ₹10,000 × (1.1)3 = ₹13,310. With simple interest you would get only ₹10,000 + 3×₹1,000 = ₹13,000 — the extra ₹310 is from compounding.

How this helps with mutual funds (MFs) — simple picture

  • In a mutual fund, your money buys units. When the fund does well, NAV (price per unit) tends to rise over long periods (not every year — markets go up and down).
  • If you stay invested, tomorrow’s gain or loss applies to your whole current value — units × NAV — not only on the first SIP instalment. That is the same “growth on growth” idea as compound interest, but we usually say compounding of returns (returns are not fixed like an FD rate).
  • SIP adds a fresh amount every month, so you keep feeding the snowball. Early SIPs get more years of compounding; that is why even small monthly amounts can become large over 10–20 years in illustrations (actual results depend on market, fund, and costs).
  • Choosing growth option (instead of taking payouts) keeps gains inside the fund so the full corpus can participate in future NAV movement — mentally similar to “interest reinvested” in a deposit.

Remember: mutual funds are market-linked. Past performance does not guarantee future returns. Use conservative assumptions for goals, and read scheme documents / risk factors.

Rule of 72 (quick mental maths)

About how many years to roughly double money at a steady yearly rate? Divide 72 by the rate in percent. Example: at ~8% a year, 72 ÷ 8 ≈ 9 years to double. It is an estimate, not exact.

Three habits that protect compounding

  • Start as early as you can, even small.
  • Avoid stopping SIPs every time the market dips (unless your goal or cash situation really changed).
  • Keep costs low — high fees quietly eat the same compounding math in reverse.

Plug in your own SIP amount, return guess, and years in the calculator.

FAQs

Clear answers in plain language. Educational guidance only.

What is compound interest in simple terms?
Earning returns on your original money plus on past returns — a snowball. The formula A = P × (1 + r)^n captures lump-sum growth.
How does compounding work in mutual funds?
Units × rising NAV means future gains apply to a larger base. SIP adds fresh money monthly; growth option reinvests instead of paying out.
What is the Rule of 72?
Divide 72 by your annual return % to estimate years to double. At 8%, ~9 years — an approximation, not a promise.
Why start early?
Time in market gives more compounding periods. ₹5k/month for 30 years often beats ₹15k/month for 15 years at the same return in illustrations.

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