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Calculation Methodology

This page documents how CAGRCalculator.tools performs its calculations so results can be checked independently.

Standard CAGR formula

The standard calculator uses beginning value (BV), ending value (EV), and elapsed time in years (n).

CAGR = (EV ÷ BV)^(1 ÷ n) − 1

Reverse calculations

Future Value = Starting Value × (1 + CAGR)^n

Starting Value = Future Value ÷ (1 + CAGR)^n

n = ln(Future Value ÷ Starting Value) ÷ ln(1 + CAGR)

Time-period convention

Manual duration inputs use years + months ÷ 12 + days ÷ 365. Exact-date mode uses ACT/365 Fixed: actual elapsed calendar days divided by 365.

Precision and validation

Calculations use double-precision floating point without intermediate display rounding. Invalid zero periods, non-finite values, and undefined reverse calculations are rejected.

What CAGR does not measure

CAGR does not measure volatility, drawdowns, risk, fees, taxes, inflation, or intermediate cash-flow timing. IRR or XIRR may fit a cash-flow question better.