Banking & Payments

What is Compound Interest?

Interest calculated on both the initial principal and the accumulated interest from previous periods — 'interest on interest'.

How It Works

Compound interest accelerates wealth growth (for savings) or debt accumulation (for loans) because each period's interest is added to the principal, creating a larger base for the next calculation. The frequency of compounding (daily, monthly, quarterly, annually) significantly affects the final amount. Albert Einstein reportedly called it 'the eighth wonder of the world.' Understanding compound interest is essential for investment planning, loan evaluation, and financial literacy.

Formula

A = P × (1 + r/n)^(n×t), where P = principal, r = annual rate, n = compounding frequency, t = time in years

Real-World Example

₹1,00,000 invested at 8% annual interest compounded monthly for 5 years: A = 1,00,000 × (1 + 0.08/12)^(12×5) = ₹1,48,984. Simple interest would yield only ₹1,40,000 — compound interest earns ₹8,984 more.

Why It Matters

1

Ensures accurate financial reporting and record-keeping

2

Helps maintain regulatory and tax compliance

3

Enables better-informed business decisions

4

Improves operational efficiency and cash flow management

Frequently Asked Questions

What is the difference between simple and compound interest?

Simple interest is calculated only on the original principal. Compound interest is calculated on principal plus accumulated interest. Over time, compound interest grows exponentially while simple interest grows linearly.

How does compounding frequency affect returns?

More frequent compounding yields higher returns. ₹1,00,000 at 12% for 1 year: Annual compounding = ₹1,12,000. Monthly compounding = ₹1,12,683. Daily compounding = ₹1,12,747. The difference grows significantly over longer periods.

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