CAGR Calculator
Find the compound annual growth rate.
The smooth yearly rate that would grow your start value to the end value.
How the Math Works
The Compound Annual Growth Rate (CAGR) formula calculates the mean annual growth rate of an investment over a specified time period, assuming the value grows at a steady rate. The formula CAGR = (end ÷ begin)^(1/years) − 1 works by first dividing the ending value by the beginning value to determine the total growth factor. Taking the nth root (where n is the number of years) converts this total growth into an average annual growth rate. Subtracting 1 then expresses this rate as a percentage. This geometric mean smooths out fluctuations, providing a consistent growth rate that reflects long-term performance rather than short-term volatility.
Practical Applications
To apply the CAGR calculation, start by identifying the initial and final values of an investment or metric, along with the total time period in years. For example, if an investment grows from $10,000 to $15,000 over 5 years, plug these numbers into the formula: (15000 ÷ 10000)^(1/5) − 1. The result (approximately 8.45%) represents the average annual growth rate. This tool is widely used in finance to compare investment returns, assess business revenue growth, or evaluate the performance of assets like stocks, real estate, or mutual funds, enabling informed decision-making based on standardized growth metrics.
Day-to-Day Use
In daily life, CAGR helps simplify complex growth patterns into understandable metrics. For instance, you might use it to track your savings account growth over a decade or compare the long-term performance of different retirement funds. It’s also useful for evaluating small business metrics, such as customer growth or sales trends, to gauge sustainability. By providing a clear picture of consistent growth, CAGR empowers individuals and businesses to make strategic financial choices, set realistic goals, and communicate progress effectively to stakeholders.
Worked example
$1,000 → $2,000 over 5 years → 14.87%/yr.
FAQ
Why not just total return ÷ years?
That ignores compounding; CAGR is the true annualized rate.