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The Magic of Compound Interest

“Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn’t, pays it.” — attributed to Einstein

Simple vs Compound Interest

Simple interestis calculated on your original amount only. Invest £1,000 at 5% and you earn £50 every year. After 10 years: £1,500.

Compound interest is calculated on your original amount plusall the interest you’ve already earned. After 10 years at 5%: £1,629. The difference grows dramatically over time.

Key Concept

Compounding means your money earns money, and then that money earns money. It’s a snowball rolling downhill — the longer it rolls, the faster it grows.

The Rule of 72

Want to know how long it takes your money to double? Divide 72 by the annual return:

  • At 4%: 72 ÷ 4 = 18 years to double
  • At 7%: 72 ÷ 7 = ~10 years to double
  • At 10%: 72 ÷ 10 = ~7 years to double

Why Starting Early Matters More Than Amount

This is the most important table in personal finance. Three people invest £100/month at 7% annual return:

PersonStarts AtYears InvestingTotal ContributedValue at 60
AliceAge 2040 years£48,000£262,481
BobAge 3030 years£36,000£121,997
CarolAge 4020 years£24,000£52,093

Real-World Example

Alice contributed only £12,000 more than Bob but ended up with £140,484 more. That’s not because she invested more — it’s because her money had an extra 10 years to compound. Time is the most powerful ingredient.

The Compounding Curve

Compounding is not a straight line — it’s exponential. The first £100,000 is the hardest. After that, your money is earning so much on its own that the growth accelerates. Many investors find their second £100,000 arrives in half the time.

How to Harness It

  1. Start now — even £25/month is better than waiting for the “perfect” time.
  2. Reinvest everything — choose “accumulation” fund units, not “income.”
  3. Don’t interrupt it — resist the urge to cash out during dips.
  4. Use a Stocks & Shares ISA — so tax doesn’t eat your compound growth.
  5. Keep fees low — even 0.5% in extra fees compounds against you.

Warning

Compound interest works against you on debt. A credit card charging 22% APR means your debt doubles in just over 3 years if you don’t pay it off. Always clear expensive debt before investing.