Finance

Solve Compound Rate

Per-period rate to grow PV into FV over n periods.

Formula

Formula
r = (FVPV)1n − 1

Variables

SymbolDefinitionType & rangeUnitsRole
PV present value PV > 0 currency input
FV future value FV > 0 currency input
n number of periods n > 0 input
r rate per period real number % result

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Result

Worked examples

Example 1
Givenpresent value = 1000, future value = 2000, periods = 10
Result7.177346254
Example 2
Givenpresent value = 5000, future value = 8000, periods = 5
Result9.856054331