CAGR Calculator

What Is CAGR?

The Compound Annual Growth Rate (CAGR) is a widely used metric in finance that measures the mean annual growth rate of an investment over a specified time period longer than one year. Unlike simple averages that can be misleading in volatile markets, CAGR represents the rate at which an investment would have grown if it had compounded at a steady rate every year. This makes CAGR the standard measure for comparing the historical performance of investments, benchmarking portfolio returns against indices, and evaluating business revenue or earnings growth over multiple years. Financial analysts, portfolio managers, and individual investors all rely on CAGR because it distills complex, multi-year performance into a single, comparable number.

The CAGR Formula

The CAGR formula is mathematically elegant in its simplicity:

Where n is the number of years. For example, if you invested $10,000 and it grew to $25,000 over 5 years, the CAGR would be ($25,000 / $10,000)^1/5 − 1 = 20.11%. This means your investment grew at an equivalent rate of 20.11% per year, compounded annually. The actual year-by-year returns may have varied widely, with some years delivering 40% gains and others experiencing losses, but the CAGR tells you the smooth, equivalent annual rate that produced the same final result.

CAGR vs. Average Return

The difference between CAGR and average annual return is subtle but critically important. Consider a $10,000 investment that gains 100% in year one (reaching $20,000) and then loses 50% in year two (falling back to $10,000). The arithmetic average return is (100% + (-50%)) / 2 = 25%, which sounds impressive. But the investor actually made nothing, the ending value equals the beginning value. The CAGR correctly reports 0%, reflecting the actual growth experienced. This discrepancy becomes more pronounced with greater volatility, which is why CAGR is the preferred measure for evaluating long-term investment performance. Whenever you see a fund or portfolio quoting performance figures, check whether they use CAGR or average returns, as the distinction can significantly affect your perception of the results.

Practical Applications of CAGR

CAGR is versatile and applies far beyond investment returns. Business analysts use it to measure revenue growth, comparing the trajectory of different companies or business units. Real estate investors use CAGR to evaluate property appreciation over holding periods. Retirement planners use CAGR to project portfolio growth under different market return assumptions. The metric is equally useful for comparing the growth of economic indicators like GDP, population, or market size over time. Whenever you need to understand the smooth, annualized growth trajectory of any quantity that changes over multiple years, CAGR is the appropriate tool.

Related Investment Tools

Expand your investment analysis with our other free calculators. Use the Compound Interest Calculator to project future value with regular contributions, the ROI Calculator to measure total return including dividends, the DCA Calculator to evaluate dollar-cost averaging strategies, or the Dividend Yield Calculator to project income from dividend-paying investments.