What is Compound Interest?
Compound Interest is the interest calculated on both the initial principal and the accumulated interest from previous periods. Often called "interest on interest," it makes your money grow exponentially over time, unlike simple interest which is calculated only on the principal amount.
Albert Einstein reportedly called compound interest "the eighth wonder of the world," saying "He who understands it, earns it; he who doesn't, pays it." This powerful concept is the foundation of wealth building through long-term investing.
Compound Interest Formula
The compound interest formula calculates the future value of an investment:
Where:
- A = Final amount (Future Value)
- P = Principal amount (initial investment)
- r = Annual interest rate (in decimal)
- n = Number of times interest compounds per year
- t = Time in years
- CI = Compound Interest earned
Compounding Frequency Explained
How often interest is compounded significantly affects your returns:
Annual Compounding (n=1)
Interest is added once per year. Simple but yields the lowest returns among compounding frequencies.
Quarterly Compounding (n=4)
Interest is added every 3 months. Common for fixed deposits and many savings accounts in India.
Monthly Compounding (n=12)
Interest is added every month. Popular for recurring deposits and some mutual funds.
Daily Compounding (n=365)
Interest is added every day. Offers the highest returns and is used by some high-yield savings accounts.
Compound Interest vs Simple Interest
The difference becomes dramatic over time. For ₹1,00,000 at 10% for 20 years:
- Simple Interest: ₹2,00,000 total (₹1,00,000 interest)
- Compound Interest (Annual): ₹6,72,750 total (₹5,72,750 interest)
- Compound Interest (Monthly): ₹7,32,806 total (₹6,32,806 interest)
Compound interest earns 5.7x more than simple interest over 20 years!
The Power of Starting Early
Time is the most powerful factor in compound interest. Consider two investors:
- Investor A: Invests ₹5,000/month from age 25 to 35 (10 years, ₹6 lakh total)
- Investor B: Invests ₹5,000/month from age 35 to 60 (25 years, ₹15 lakh total)
At 12% annual return, Investor A has ₹1.76 crore at 60, while Investor B has only ₹1.50 crore despite investing 2.5x more! Starting early is crucial.
Applications of Compound Interest
Investments
Mutual funds, stocks, and bonds grow through compound returns. Reinvesting dividends accelerates growth.
Savings Accounts
Bank savings accounts and fixed deposits use compound interest, though rates are typically lower than investment returns.
Retirement Planning
Long-term retirement accounts benefit massively from decades of compounding.
Debt (Negative Impact)
Credit card debt and unpaid loans compound against you, making debt grow exponentially if not paid off.
Maximizing Compound Interest Returns
- Start Early: Time is your biggest ally in compounding
- Invest Regularly: Consistent investments amplify compounding effects
- Reinvest Returns: Don't withdraw interest; let it compound
- Choose Higher Frequency: Daily/monthly compounding beats annual
- Be Patient: Compounding accelerates over time; stay invested
- Increase Contributions: Higher principal means higher compound growth
Related Calculators
- Simple Interest Calculator - Calculate simple interest
- SIP Calculator - Calculate mutual fund SIP returns
- EMI Calculator - Calculate loan monthly installments