CAGR Calculator – Compound Annual Growth Rate
Quick Answer
Compound Annual Growth Rate (CAGR) equals (Ending Value / Beginning Value)^(1 / years) - 1. For example, an investment growing from $10,000 to $16,105 over 5 years has a CAGR of 10%. CAGR is the smoothed annualized return standard used in investment reporting under the SEC's performance guidance.
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What Is CAGR and How It Works
CAGR (Compound Annual Growth Rate) is the smoothed annual rate of return that an investment would need to achieve each year to grow from its beginning value to its ending value over a given time period. Unlike a simple average of yearly returns, CAGR assumes that gains are reinvested at the end of each year, and it produces a single, steady rate that eliminates the noise of year-to-year volatility.
Why does this matter? Suppose an investment gains 50% in year one and loses 30% in year two. The simple average return is +10%, but the actual ending value tells a different story. Starting with $10,000, you would have $15,000 after year one and $10,500 after year two. The CAGR over that two-year period is only about 2.47%, which accurately reflects the real annualized growth. Simple averages can paint a misleadingly rosy picture when returns are volatile.
CAGR is one of the most widely used metrics in finance. Investors use it to compare mutual fund performance, evaluate stock portfolios, benchmark private equity returns, and project business revenue growth. Analysts rely on it in earnings presentations and annual reports. Because CAGR produces a single number, it is easy to communicate and compare across different asset classes, time periods, and currencies.
However, CAGR has important limitations. It does not reveal anything about the path of returns or the risk taken to achieve them. Two investments can share the same CAGR while having vastly different volatility profiles. CAGR also ignores intermediate cash flows such as dividends, additional contributions, or withdrawals. For situations involving multiple cash flows, metrics like IRR or XIRR are more appropriate. Always pair CAGR with risk metrics like standard deviation and maximum drawdown when making investment decisions.
CAGR Formula
The CAGR formula is straightforward:
CAGR = (Ending Value / Beginning Value)1/n - 1
Where Ending Value is the final value of the investment, Beginning Value is the initial value, and n is the number of years.
Worked example: You invested $10,000 in a stock fund five years ago, and it is now worth $18,000. What is the CAGR?
- Ending Value / Beginning Value = $18,000 / $10,000 = 1.80
- 1/n = 1/5 = 0.20
- 1.800.20 = 1.1247
- CAGR = 1.1247 - 1 = 0.1247, or 12.47%
This means your investment grew at an equivalent rate of 12.47% per year for five years, regardless of the actual year-by-year returns. You can also reverse the formula to find the future value: multiply the beginning value by (1 + CAGR)n. This calculator supports both directions -- enter any three values and it will solve for the fourth.
Key Terms
| Term | Definition |
|---|---|
| CAGR | Compound Annual Growth Rate. The smoothed annual return assuming compounding. |
| Absolute Return | The total percentage gain or loss over the entire period, without annualizing. Calculated as (Ending - Beginning) / Beginning x 100. |
| Annualized Return | Another name for CAGR. Converts the total return into an equivalent yearly rate for easy comparison. Use our annualized return calculator for quick conversions. |
| IRR (Internal Rate of Return) | The discount rate that makes the net present value of all cash flows equal to zero. Unlike CAGR, IRR handles multiple cash flows at regular intervals. |
| XIRR | Extended IRR. Calculates the annualized return for cash flows occurring at irregular dates. Commonly used in Excel and Google Sheets for SIP or portfolio analysis. |
| Volatility Drag | The negative effect that fluctuating returns have on compound growth. Higher volatility reduces the geometric (compound) return relative to the arithmetic (simple) average return. |
CAGR vs Average Return Comparison
One of the most common misconceptions in investing is treating the arithmetic average return as the true growth rate. The arithmetic average simply adds up yearly returns and divides by the number of years. The geometric return (CAGR) accounts for the compounding effect, and it is always less than or equal to the arithmetic average when returns vary.
This gap between the two is called volatility drag. The more volatile the returns, the larger the drag. Consider the following example:
| Scenario | Year 1 | Year 2 | Avg Return | CAGR | $10,000 Becomes |
|---|---|---|---|---|---|
| Low volatility | +12% | +8% | 10.00% | 9.98% | $12,096 |
| Medium volatility | +30% | -10% | 10.00% | 8.17% | $11,700 |
| High volatility | +60% | -40% | 10.00% | -2.02% | $9,600 |
All three scenarios have the same 10% arithmetic average return, yet the actual outcomes range from a 20.96% total gain to a 4% total loss. The high-volatility scenario actually destroyed wealth despite having a positive average return. This is why CAGR is the more honest measure of real investment performance, and why financial professionals prefer it over simple averages.
Practical Examples
Stock Investment
An investor bought shares of a technology ETF for $25,000 in January 2015. By January 2025, the position was worth $72,000. The CAGR over 10 years is ($72,000 / $25,000)1/10 - 1 = 11.15%. This single number lets the investor quickly compare the ETF's performance against a benchmark like the S&P 500 (approximately 10.5% CAGR over the same period).
Business Revenue Growth
A SaaS startup had $500,000 in annual recurring revenue (ARR) in 2020 and grew it to $4,200,000 by 2025. The 5-year revenue CAGR is ($4,200,000 / $500,000)1/5 - 1 = 53.0%. Venture capitalists often use revenue CAGR to compare growth trajectories of competing portfolio companies, independent of the actual year-by-year fluctuations.
Real Estate Appreciation
A homeowner purchased a property for $350,000 in 2010 and it appraised at $580,000 in 2025. The 15-year appreciation CAGR is ($580,000 / $350,000)1/15 - 1 = 3.41%. Note that this represents price appreciation only and does not include rental income, maintenance costs, or mortgage interest. For a complete picture, use our rental yield calculator alongside CAGR.
Historical CAGR Benchmarks
The table below shows approximate historical CAGR figures for major asset classes in the United States. These are nominal returns (before adjusting for inflation) and are based on widely cited long-term data through 2024.
| Asset Class | 10-Year CAGR | 20-Year CAGR | 30-Year CAGR |
|---|---|---|---|
| S&P 500 (Total Return) | ~12-13% | ~10-11% | ~10-11% |
| US Residential Real Estate | ~6-8% | ~4-5% | ~3-5% |
| Gold | ~8-10% | ~9-10% | ~6-7% |
| US Treasury Bonds (10-Year) | ~1-2% | ~3-4% | ~4-5% |
| US Aggregate Bond Index | ~1-2% | ~3-4% | ~4-5% |
| Inflation (CPI) | ~3-4% | ~2-3% | ~2-3% |
These benchmarks serve as useful reference points. When you calculate the CAGR of your own portfolio or a specific investment, comparing it against these figures helps you gauge whether your returns are above or below market norms. Keep in mind that past performance is no guarantee of future results, and the specific start and end dates can significantly affect the measured CAGR. Use our compound interest calculator to model future growth based on an assumed CAGR.
Frequently Asked Questions
What is CAGR?
CAGR stands for Compound Annual Growth Rate. It measures the smoothed annual growth rate of an investment over a specified period, assuming profits are reinvested each year. Unlike simple average returns, CAGR removes the effects of volatility to provide a single annualized rate of return. It is the standard way to express how fast an investment, revenue stream, or any metric grew on an annualized basis.
How is CAGR different from average return?
Average return is a simple arithmetic mean of yearly returns, which can be misleading when returns vary significantly year to year. CAGR accounts for compounding and gives the actual annualized rate at which an investment grew from its beginning value to its ending value. Because of volatility drag, the arithmetic average is always equal to or higher than the CAGR. The greater the volatility, the larger the gap between the two.
What is a good CAGR for investments?
A good CAGR depends on the asset class, time horizon, and risk level. Historically, the S&P 500 has delivered roughly 10-11% nominal CAGR over 30-year periods, according to SEC investor guidance. Real estate appreciation averages 3-5% CAGR. Fixed-income instruments typically yield 4-6% CAGR. For individual stocks or venture-backed startups, 15-25%+ CAGR is considered strong. Always compare against relevant benchmarks and adjust for inflation and risk.
Can CAGR be negative?
Yes, CAGR can be negative. A negative CAGR indicates that the investment lost value over the measured period. For example, if you invested $10,000 and it was worth $7,000 after 3 years, the CAGR would be approximately -11.2%, reflecting an average annual decline of that magnitude.
What is the difference between CAGR and IRR?
CAGR measures growth between a single starting value and a single ending value over a fixed period. It is best suited for lump-sum investments with no intermediate cash flows. IRR (Internal Rate of Return) accounts for multiple cash flows at different points in time, making it more suitable for investments with ongoing contributions, withdrawals, or irregular distributions. XIRR is the extended version of IRR that handles cash flows on specific dates, commonly used in SIP analysis.
Does CAGR account for inflation?
Standard CAGR is a nominal figure and does not account for inflation. To calculate the real (inflation-adjusted) CAGR, use the formula: Real CAGR = ((1 + Nominal CAGR) / (1 + Inflation Rate)) - 1. For example, if your nominal CAGR is 10% and inflation averaged 3%, the real CAGR is approximately 6.8%. This gives a more accurate picture of actual purchasing power growth over time.