Finance

Compound Interest Earned

Interest portion only (amount − principal).

Formula

Formula
I = P[(1 + rn)n t − 1]

Variables

SymbolDefinitionType & rangeUnitsRole
P principal real number (ℝ) — input
r rate real number (ℝ) — input
n periods/year integer (ℤ) — input
t years real number (ℝ) — input

Try it yourself

Interactive calculator
Result
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Worked examples

Example 1
Givenprincipal = 1000, rate (%) = 5, periods/yr = 12, years = 10
Result647.0094977
Example 2
Givenprincipal = 5000, rate (%) = 7, periods/yr = 4, years = 20
Result15031.95962