📈 CAGR Calculator

The Compound Annual Growth Rate, or CAGR, is the smoothed annualized rate of return that turns an initial investment into its final value over a given period. Unlike a simple average of yearly returns, CAGR uses the geometric mean, which correctly accounts for compounding. This makes it one of the most reliable ways to compare investments held over different time horizons. Whether you are evaluating a stock portfolio, a real estate holding, a business venture, or a market index, CAGR gives you a single percentage that summarizes the steady growth rate your money would have needed each year.

Many investors confuse CAGR with the average annual return, but the two are fundamentally different. An arithmetic average treats each year equally and ignores the effect of volatility, whereas CAGR captures the geometric reality of compounding gains and losses. For example, if a portfolio loses 50 percent one year and gains 100 percent the next, the arithmetic average return is 25 percent — yet the actual break-even CAGR is zero. This is why CAGR is the preferred metric for performance reporting. It pairs naturally with our compound interest calculator for projecting future growth, the ROI calculator for total return analysis, and the IRR calculator for investments with multiple cash flows.

CAGR is also useful for benchmarking. You can compare your portfolio's CAGR against the S&P 500 or any other market index over the same period to see whether you are outperforming or underperforming the market. Business analysts rely on CAGR to measure revenue growth, customer acquisition trends, and market expansion rates. It is a versatile metric that works wherever you need to express growth over time as a single annualized percentage.

The CAGR formula is straightforward: CAGR = (FV / PV)^(1/n) - 1, where FV is the final value, PV is the present or initial value, and n is the number of years. The result is expressed as a decimal that you multiply by 100 to get a percentage.

Here is how the calculation breaks down step by step. First, divide the final value by the initial value to get the total growth multiple. Next, raise that multiple to the power of 1 divided by the number of years — this annualizes the growth rate. Finally, subtract 1 to remove the initial principal, leaving only the annual growth rate. For example, if $10,000 grows to $15,000 over 5 years, the total multiple is 1.5. Taking 1.5 to the power of 0.2 gives 1.08447, and subtracting 1 yields 0.08447, or about 8.45 percent per year.

One important limitation: CAGR assumes the growth rate was constant every year, which is rarely true in practice. It smooths out volatility and hides the ups and downs that actually occurred. This makes it excellent for summary comparisons but insufficient for risk assessment. Always pair CAGR with measures of volatility such as standard deviation or maximum drawdown when evaluating investment performance.

Disclaimer: CAGR is a mathematical measure of past or projected growth and does not guarantee future results. All investments carry risk, including loss of principal.

Let us walk through a complete CAGR calculation step by step.

So an investment that grows from $10,000 to $15,000 over 5 years has a CAGR of approximately 8.45 percent. The total return over the full period is 50 percent, and the absolute profit is $5,000.

Note: These are illustrative examples. Higher CAGRs generally involve higher risk. Past performance does not guarantee future results.

1. Enter the initial value of your investment (PV) in the first field.
2. Enter the final or current value of your investment (FV) in the second field.
3. Enter the number of years the investment was held.
4. Click Calculate to see the CAGR, total return percentage, and absolute profit.
5. Compare the CAGR against relevant benchmarks to evaluate your investment performance.

What is the difference between CAGR and average annual return?

CAGR uses the geometric mean, which correctly accounts for compounding, while average annual return uses the arithmetic mean, which ignores volatility. For example, if an investment loses 50 percent one year and gains 50 percent the next, the arithmetic average is zero percent, but the CAGR is approximately minus 13.4 percent. CAGR always gives the true annualized growth rate.

Can CAGR be negative?

Yes. If the final value is lower than the initial value, CAGR will be negative, indicating an annualized loss. For example, if a $10,000 investment drops to $8,000 over 2 years, the CAGR is about minus 10.56 percent per year.

What is the difference between CAGR and IRR?

CAGR measures the annualized growth between a single starting value and ending value over a fixed period. IRR (Internal Rate of Return) handles multiple cash flows at different times and finds the rate that makes the net present value zero. If you made contributions or withdrawals during the investment period, IRR is more accurate. Use our IRR calculator for those scenarios.

Does CAGR account for volatility or risk?

No. CAGR smooths the growth into a single constant rate and hides any interim volatility. Two investments can have the same CAGR but very different risk profiles. Always consider additional metrics like standard deviation, maximum drawdown, or the Sharpe ratio alongside CAGR.

Why does my CAGR differ from the return percentages I see each year?

Because CAGR is the geometric mean, not the arithmetic mean. If your investment gained 20 percent one year and lost 10 percent the next, the arithmetic average is 5 percent, but the CAGR is about 3.9 percent. CAGR reflects what actually happened to your money, while the average of yearly returns overstates performance.

This tool is for informational purposes only and does not constitute financial advice. Consult a qualified financial professional for advice specific to your situation.

When using CAGR, always make sure the time period is clearly stated — a 15 percent CAGR over 3 years is far less meaningful without context. Compare CAGRs only over identical or overlapping time frames; mismatching periods leads to misleading conclusions. Remember that CAGR hides volatility: two investments with the same CAGR can have wildly different risk profiles. If you made additional contributions or withdrawals during the holding period, CAGR will not accurately reflect your personal return — use the IRR calculator instead, which handles multiple cash flows. For quick percentage changes over a single period, the percentage change calculator is a simpler alternative. Finally, always compare your CAGR against an appropriate benchmark such as the S&P 500 or a relevant sector index to determine whether your investment truly outperformed.