CAGR Calculator
Calculate compound annual growth rate instantly π Fast, free and trusted β‘ Start now π
Calculate compound annual growth rate instantly π Fast, free and trusted β‘ Start now π
A CAGR Calculator is a financial tool used to calculate the Compound Annual Growth Rate of an investment over a specific period of time. CAGR represents the average annual growth rate of an investment assuming the profits were reinvested each year. It smooths out fluctuations and provides a consistent growth rate.
Investors, business owners, analysts, and financial planners use CAGR to evaluate investment performance, revenue growth, market expansion, or portfolio returns. It helps compare different investments over different time periods using a standardized annual growth percentage.
The CAGR formula calculates the constant annual growth rate between an initial value and a final value over a given number of years. The formula is:
CAGR = (Final Value Γ· Initial Value)^(1 Γ· Number of Years) β 1
For example, if an investment grows from 10,000 to 20,000 in 5 years, the calculation becomes: CAGR = (20000 Γ· 10000)^(1 Γ· 5) β 1. This equals (2)^(0.2) β 1 β 0.1487 or 14.87% annual growth.
Investors use CAGR to measure stock, mutual fund, or cryptocurrency performance over multiple years. It provides a clear annualized return instead of irregular yearly changes.
Businesses use CAGR to analyze revenue growth. For example, if company revenue increased from 1 million to 2.5 million in 4 years, CAGR shows the average annual growth rate during that period.
Financial analysts use CAGR to compare different investments. Since it normalizes growth into an annual percentage, it becomes easier to evaluate long-term performance across different assets.
The calculation is based on exponential growth modeling. If Initial Value = Vβ, Final Value = Vβ, and Years = n, then CAGR = (Vβ / Vβ)^(1/n) β 1.
The exponent (1/n) calculates the nth root of the growth ratio, which represents the steady annual growth factor. Subtracting 1 converts the growth factor into a percentage rate.
Unlike simple average growth, CAGR accounts for compounding. This means each yearβs growth builds upon the previous yearβs value, reflecting realistic investment behavior.
Is CAGR the same as average annual return?
No. CAGR assumes compounding and provides a smoothed annual rate, while simple average return does not account for compounding effects.
Can CAGR be negative?
Yes. If the final value is lower than the initial value, CAGR will be negative, indicating a loss.
Does CAGR show yearly fluctuations?
No. It provides a constant annual growth rate and does not reflect year-to-year volatility.
Is CAGR useful for short-term investments?
It is most meaningful for multi-year analysis, as compounding effects become clearer over longer periods.
Is any financial data stored?
No. The calculator processes your inputs instantly and does not store personal or financial information.