Finance•5 min read
How to Calculate Compound Interest — A Complete Guide
By Suresh Kumar•
Albert Einstein famously called compound interest the "eighth wonder of the world." Compounding is the engine that drives long-term wealth creation. Unlike simple interest, which is calculated only on the initial principal, compound interest is calculated on the principal plus all accumulated interest from previous periods.
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In this guide, we break down the compounding formula and show you step-by-step how to calculate it.
What is Compounding?
Compounding is the process where an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings over time. This growth is exponential rather than linear. The longer your money compounds, the faster it grows.The Compound Interest Formula
To calculate compound interest mathematically, we use the following standard formula:A = P (1 + r / n) ^ (n t)Where:
Step-by-Step Calculation Example
Let's say you invest ₹10,000 at an annual interest rate of 8%, compounded quarterly (4 times a year) for 5 years.Applying the formula:
0.08 / 4 = 0.021 + 0.02 = 1.024 5 = 201.02 ^ 20 = 1.4859₹10,000 1.4859 = ₹14,859Advertisement
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Your final balance after 5 years is ₹14,859. The total compound interest earned is ₹4,859.
Simple vs Compound Interest Comparison
₹10,000 0.08 5 = ₹4,000.The Rule of 72
A quick way to estimate when your investment will double is the Rule of 72. Divide 72 by your annual rate of return. For example, at an 8% return rate, your money will double in approximately72 / 8 = 9 years.
Understanding compound interest is essential for making smart decisions about savings accounts, fixed deposits, mutual funds, and loans.
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