What is Compound Interest?
Compound interest is often called the "eighth wonder of the world" (attributed to Einstein). Unlike simple interest which is calculated only on the principal, compound interest is calculated on the principal plus all previously earned interest. This means your money grows faster and faster over time.
The key insight: the longer you leave money to compound, the more dramatic the growth. The difference between 10 and 20 years is not double โ it's exponentially more.
Compound Interest Formula
Where:
A = Final amount
P = Principal (initial investment)
r = Annual interest rate (as decimal, e.g. 0.08 for 8%)
n = Compounding frequency per year
t = Time in years
How to use this calculator
- Enter your starting investment amount (principal)
- Enter the annual interest rate or expected return
- Enter the number of years you plan to invest
- Choose how often interest compounds (monthly gives slightly more than annually)
- Hit Calculate to see your final amount and growth chart
๐ Example Scenarios
Scenario 1 โ Amit invests his bonus ๐ฐ
Amit receives a bonus of โน1,00,000 and puts it in a fund earning 10% annually, compounded quarterly for 15 years. Final amount = approximately โน4,32,000. His money grew 4.3ร with zero additional investment โ purely from compounding. If he'd left it in a savings account at 4%, he'd have only โน1,82,000.
Scenario 2 โ Emma's college fund ๐
Emma's parents invest $5,000 at her birth in an index fund earning 8% annually, compounded monthly for 18 years. Final value = approximately $20,800. The $5,000 investment quadrupled through compounding alone โ a powerful head start on her education fund.
The Rule of 72
A quick mental shortcut: divide 72 by the interest rate to estimate how many years it takes to double your money. At 8% โ 72รท8 = 9 years to double. At 12% โ 6 years. This helps you quickly evaluate investment options.