What are Compound Interest?

Compound interest is interest calculated on the original value plus the interest already accrued. Unlike simple interest (which only applies to the initial value), compound interest grows exponentially.

Practical example

R$ 10,000 invested at 10% per year:

YearSimple InterestCompound Interest
1R$ 11,000R$ 11,000
5R$ 15,000R$ 16,105
10R$ 20,000R$ 25,937
20R$ 30,000R$ 67,275
30R$ 40,000R$ 174,494

The Rule of 72

To find out how many years it takes for your money to double, divide 72 by the interest rate:

  • 12% per year → 72 ÷ 12 = 6 years to double
  • 8% per year → 72 ÷ 8 = 9 years to double

Why starting early matters

Someone who invests R$ 500/month from age 25 to 65 (at 10% per year) accumulates R$ 3.2 million. Someone who starts at 35 accumulates R$ 1.1 million. 10 years of difference = 3x less money.