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CalcIntel

Finance · Quick Answer

What is compound interest?

Compound interest is interest that earns interest. Each period, interest is added to the principal, and the next period's interest is calculated on the new, larger balance. Formula: A = P(1 + r/n)^(nt).

How it works

With simple interest, you earn interest only on the original deposit. With compound interest, the interest itself earns interest, producing exponential growth over long periods.

A = P × (1 + r/n)^(n×t)

Where:

  • P = principal (starting amount)
  • r = annual interest rate (as a decimal)
  • n = compounding periods per year
  • t = number of years

Why compounding frequency matters

$10,000 at 5% for 20 years:

  • Simple interest: $20,000
  • Compounded annually: $26,533
  • Compounded monthly: $27,126
  • Compounded daily: $27,181

The compounding frequency matters, but the time horizon and rate matter more.

Rule of 72

To estimate how long money takes to double: 72 / annual rate = years to double. At 6%, money doubles in about 12 years.

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