Albert Einstein reportedly called compound interest the eighth wonder of the world. While the quote may be apocryphal, the math is real โ€” compounding is the most powerful force in personal finance. Understanding it changes how you think about every financial decision.

Compound Interest Formula

A = P ร— (1 + r/n)^(nร—t)
Where: A = Final amount, P = Principal, r = Annual rate, n = Compounding frequency, t = Time in years

Compounding Frequency Matters

โ‚น1,00,000 invested at 7% annual rate for 10 years:

Compounding FrequencyFinal AmountInterest Earned
Annualโ‚น1,96,715โ‚น96,715
Quarterlyโ‚น2,00,160โ‚น1,00,160
Monthlyโ‚น2,00,967โ‚น1,00,967
Dailyโ‚น2,01,371โ‚น1,01,371

Bank FD Compounding in India

Most Indian bank FDs compound quarterly. A 7% FD compounded quarterly has an effective annual yield of (1 + 0.07/4)^4 โˆ’ 1 = 7.186%. This difference compounds significantly over 5โ€“10 years. Senior citizen FDs typically earn 0.25โ€“0.75% extra, making the effective yields even higher.

The Doubling Magic โ€” Starting Early vs Late

Two investors, both investing โ‚น5,000/month at 12% CAGR:

  • Investor A starts at age 25, stops at 35 (10 years, โ‚น6L invested): Corpus at 60 = โ‚น2.97 crore
  • Investor B starts at age 35, continues to 60 (25 years, โ‚น15L invested): Corpus at 60 = โ‚น2.99 crore
Shocking but true: Investor A invested 60% less money but achieves nearly the same corpus โ€” because of 10 more years of compounding. Starting early is worth more than investing more.

Use our Compound Interest Calculator to project your exact returns for FD, savings accounts, and any lump sum investment.