Percentage Growth Calculator
Compute growth rates, CAGR, and inflation-adjusted returns. Includes visualization for year-over-year compounding.
About
Growth analysis is the backbone of strategic planning in business and personal finance. Whether evaluating a stock portfolio's performance over a decade or tracking the user acquisition rate of a startup, understanding the trajectory of numbers is critical. This tool goes beyond simple percentage change by integrating the element of time.
The specific focus here is on CAGR (Compound Annual Growth Rate), which smooths out the volatility of interim periods to provide a constant growth rate that would take you from the start value to the end value. Furthermore, the tool incorporates an inflation adjustment mechanism, allowing investors to distinguish between "Nominal Growth" (paper gains) and "Real Growth" (purchasing power). The built-in forecaster projects this trajectory into the future, visualizing the power of compounding.
Formulas
The core calculation for annualized growth uses the geometric mean:
To project future value (FV) based on a calculated growth rate (r):
Reference Data
| Metric | Formula | Description |
|---|---|---|
| Total Growth | Vend − VstartVstart | The absolute percentage change over the entire period, ignoring time duration. |
| CAGR | (VendVstart)1/n − 1 | Compound Annual Growth Rate. The geometric progression ratio that provides a constant rate of return over the time period n. |
| Real Rate | 1 + rnom1 + i − 1 | Adjusts the nominal rate (rnom) for inflation (i) using the Fisher Equation logic. |
| Doubling Time | ln(2)ln(1 + r) | Approximate time required to double the investment (Rule of 72 is the simplified version). |