CAGR Calculator

CAGR calculator help

How to use

Enter exactly three of Initial Value (I), Final Value (F), Number of Years (n), and CAGR (%); leave the field you want calculated blank. Use the same units for both values. CAGR is a constant annual compound rate, not an arithmetic average of yearly returns.

Formulas and assumptions

CAGR (%) = ((F ÷ I)1/n − 1) × 100
F = I × (1 + r)n
I = F ÷ (1 + r)n
n = ln(F ÷ I) ÷ ln(1 + r)

Here r = CAGR ÷ 100. Use positive values and a positive number of years; use a rate above −100%. Solving for years requires a nonzero rate and values consistent with growth or decline. The model assumes no deposits or withdrawals during the period. All calculated fields are rounded to two decimals.

Example

Initial = 1,000, Final = 2,000, Years = 5, CAGR blank → 14.87%. Initial = 1,000, Years = 5, CAGR = 10, Final blank → 1,610.51.

Calculator help v1.0