How Compound Interest Works
Compound interest is often called the eighth wonder of the world. Unlike simple interest — which only earns returns on your original principal — compound interest earns returns on your returns. This creates exponential, snowball-like growth over time.
The Compound Interest Formula
The formula is: A = P(1 + r/n)^(nt), where P = principal, r = annual rate, n = compounding periods per year, and t = years. Our calculator handles this automatically for both lump sum and regular contribution scenarios.
Why Regular Contributions Matter
Monthly contributions supercharge compound growth. Even small, consistent investments of £100–£200 per month, maintained over 20–30 years, can grow into substantial wealth thanks to the compounding effect. Starting early is more powerful than investing larger amounts later.
The Rule of 72
A quick mental shortcut: divide 72 by your annual return rate to estimate how many years it takes to double your investment. At 8% annual returns, money doubles approximately every 9 years (72 ÷ 8 = 9).
ISAs and Tax-Free Investing
UK investors can shelter up to £20,000 per year in a Stocks and Shares ISA (2024/25), meaning all growth and income is completely tax-free. Select "ISA / Tax-Free (0%)" in our investment calculator to project tax-free growth.
📊 S&P 500 Historical Returns
The S&P 500 has averaged around 10% annual returns before inflation since 1957. Adjusted for inflation, real returns average approximately 7%. Our calculator's default 8% is a commonly used planning benchmark.
🌍 Diversification Matters
Spreading investments across asset classes (equities, bonds, property, cash) and geographies reduces volatility without necessarily reducing long-term returns. Low-cost index funds provide instant diversification.
💸 Pound-Cost Averaging
Regular monthly contributions automatically buy more shares when prices are low and fewer when prices are high — this is called pound-cost averaging. It removes the pressure of trying to "time the market".
⚠️ Inflation Erosion
At 2.5% inflation, £100 today is worth only £78 in 10 years. Our calculator shows both nominal (unadjusted) and real (inflation-adjusted) values so you can plan for genuine purchasing power growth.