Understanding Investment Growth with Compound Interest
The power of compound interest is one of the most important concepts in personal finance and investing. Often called the "eighth wonder of the world" by financial experts, compound interest can transform modest savings into substantial wealth over time.
How Compound Interest Works
Compound interest means earning interest on both your original principal AND on the interest already earned. This creates exponential growth over time. The formula for compound interest is:
Compound Interest Formula
A = P(1 + r/n)^(nt)
Where:
• A = Final amount
• P = Principal (initial investment)
• r = Annual interest rate (as decimal)
• n = Number of times interest compounds per year
• t = Number of years
Example Calculation
Let's examine how $10,000 grows with 6% annual return over 20 years:
Simple Interest:
• Year 1: $10,000 × 6% = $600 gain
• Each year: Same $600 gain
• 20-year total: $10,000 + ($600 × 20) = $22,000
Compound Interest (annual compounding):
• Year 1: $10,000 × 6% = $600 gain → $10,600
• Year 2: $10,600 × 6% = $636 gain → $11,236
• 20-year total: $10,000 × (1.06)^20 = $32,071
The compounding effect adds $10,071 extra compared to simple interest!
Key Factors Affecting Your Returns
• Higher rate of return
• More frequent compounding
• Regular contributions
• Longer time horizon
• Investment fees
• Taxes on gains
• Inflation
• Market volatility
Nominal vs. Real Returns
It's crucial to understand the difference between nominal and real returns:
- Nominal Returns: Your investment gains before adjusting for inflation
- Real Returns: Your investment gains after accounting for inflation (what actually matters for purchasing power)
For example, if your investments grow 8% in a year with 3% inflation, your real return is only about 5%.
Important Disclaimer: Fisher Investments Calculator is an education tool only; the results are hypothetical. It is not a predictive tool and does not guarantee any particular outcome. The tool illustrates how different situations and user decisions affect a hypothetical retirement income plan. The calculator's results should not be the basis for any investment decisions. Investing in securities involves the risk of loss.