What is the formula for calculating CAGR?

The formula for CAGR is: CAGR = (Ending Value / Beginning Value)^(1/t) - 1, where t is the time period in years.

Why is CAGR preferred over simple average returns?

Simple average returns do not account for compounding and can distort true investment performance, especially with highly volatile assets. CAGR provides a single, annualized growth figure that represents the actual geometric progression of your capital.

What are the limitations of CAGR?

CAGR assumes a constant rate of growth over the investment horizon, ignoring real-world volatility and interim cash inflows or outflows. It is an analytical comparison tool, not a reflection of year-to-year returns.

CAGR Calculator

Calculate compound annual growth rate (CAGR) of an investment over time.

Live

Parameters

R Reset

Presets

Scenario Mode

Goal to Calculate

Initial Value ($)The starting value of the asset or investment.

$10,000.00

$1.00$100,000,000.00

Ending Value ($)The final value of the asset or investment.

$25,000.00

$0.00$1,000,000,000.00

Adjust for Inflation

Analytics Dashboard

Compound Annual Growth Rate (CAGR)

20.11%

Nominal CAGR20.11%

Tax-Adjusted CAGR17.87%

Real (Inflation-Adj) CAGR17.87%

Scenario Analysis Projections

Scenario	Profile	Compound Annual Growth Rate (CAGR)
Base Settings	Default inputs and growth assumptions	20.11%
Conservative	Lower yield, higher inflation, haircuts	17.61%
Optimistic	Favorable yield, lower inflation, growth	22.42%
Stress Test	Severe economic crash and high inflation	11.84%

Educational estimate. Not financial advice.

Result Interpretation

Annualized growth of 20.11% is substantially above typical long-term historical equity averages under S&P 500 Historical Averages.

Mathematical Explanation

CAGR = (\frac{Ending}{Beginning})^{\frac{1}{n}} - 1

An asset compounding from $10,000 to $25,000 over 5.0 years has a nominal CAGR of 20.11%. After adjusting for tax (15%) and inflation (0%), the real annual return is 17.87%.

How to Use the CAGR Calculator

Smooth out the annual volatility of your investments with our free CAGR calculator. The Compound Annual Growth Rate (CAGR) represents the annualized rate at which an investment would grow if it grew at a steady rate over a set period. Input your initial investment value, ending value, and time horizon to find your exact annualized growth rate.

Input variables:

Scenario Mode: Bounded parameter in the mathematical model.
Goal to Calculate: Bounded parameter in the mathematical model.
Initial Value ($): Bounded parameter in the mathematical model.
Ending Value ($): Bounded parameter in the mathematical model.
Target CAGR Goal (%): Bounded parameter in the mathematical model.
Duration (Years): Bounded parameter in the mathematical model.
Adjust for Inflation: Bounded parameter in the mathematical model.
Annual Inflation Rate (%): Bounded parameter in the mathematical model.
Effective Tax Rate (%): Bounded parameter in the mathematical model.

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