What is Compound Interest?
Compound interest means earning interest on your interest. Each period, the interest you earned gets added to your principal, and the next period's interest is calculated on the bigger amount. The formula is:
A = P × (1 + r/m)^(m×t)
Here, P is your starting amount, r is the yearly rate, m is how many times a year the interest compounds, and t is the number of years. As an example, ₹1 lakh at 8% becomes ₹2.16 lakh in 10 years with annual compounding, and ₹2.22 lakh with monthly compounding. Frequency helps a little, but time is what really matters: the same money left for 20 years reaches ₹4.66 lakh.
Where You Meet Each Compounding Frequency
Most Indian bank FDs and post-office deposits compound quarterly. PPF, Sukanya Samriddhi and NSC compound annually. EPF interest accrues monthly on your balance. Knowing the frequency lets you compare products honestly, since a 7.5% rate compounded quarterly is worth slightly more than the same rate compounded annually.
Two Rules of Thumb Worth Remembering
The Rule of 72 says your money doubles in roughly 72 divided by the rate, so about 9 years at 8%. The Rule of 114 does the same for tripling. These quick estimates are handy for checking claims before you reach for a calculator. For the contrast with interest that never compounds, see the simple interest calculator.
Why Starting Early Beats Everything Else
Watch what happens to ₹1 lakh over 30 years at different rates: ₹5.74 lakh at 6%, ₹10.06 lakh at 8%, ₹17.45 lakh at 10%. Now hold the rate at 8% and change only the time: ₹2.16 lakh in 10 years, ₹4.66 lakh in 20, ₹10.06 lakh in 30. Each extra decade multiplies the outcome by more than the previous one. In practice, starting ten years earlier beats finding two extra percent of return, and both beat trying to time the market.
Compounding Can Work Against You Too
The same mathematics powers credit-card debt, which at 36% to 42% a year doubles an unpaid balance in roughly two years, and inflation, which at 5% halves your purchasing power in about 14 years. Once you start asking "what does this percentage become over a decade?", loan offers and salary increments become much easier to judge.