The compound interest formula is: A = P × (1 + r/n)^(n×t), where A is the final amount, P is the principal, r is the annual interest rate as a decimal, n is the number of times interest compounds per year, and t is the time in years.
To see this concretely: ₹100,000 invested at 8% annual interest, compounded annually for 10 years gives: A = 100,000 × (1 + 0.08/1)^(1×10) = 100,000 × (1.08)^10 = ₹215,892. Your money more than doubled without adding a single rupee. With monthly compounding at the same rate: A = 100,000 × (1 + 0.08/12)^(12×10) = ₹221,964 — that's ₹6,000 more purely from compounding more frequently.
A useful mental shortcut is the Rule of 72: divide 72 by your annual interest rate to estimate how many years it takes for money to double. At 8%, money doubles in approximately 72 ÷ 8 = 9 years. At 12%, it doubles in 6 years. At 6%, it takes 12 years. This rule works for reasonable interest rates and gives you a quick sanity check without a calculator.
The growth isn't linear — it's exponential. In the early years the absolute dollar gains look modest. In later years they become enormous, because the base is so much larger. This is why starting to save and invest early has such an outsized impact: you're not just getting more years of interest, you're getting more years of that exponential acceleration phase.
Leave a Comment
We'd love to hear from you