CAGR Calculator Guide — Compound Annual Growth Rate Explained
CAGR — Compound Annual Growth Rate — is the single most useful number for comparing investment performance across different time periods and asset classes. Where total return tells you how much you gained overall, CAGR tells you what steady annual rate would have produced that same result. It removes the noise of volatile year-to-year performance and gives you one clean, comparable figure.
Whether you are evaluating a stock portfolio, a business revenue trend, or a real estate investment, CAGR lets you answer the question: 'What was the effective annual growth rate of this investment?' This guide explains the formula, how CAGR differs from simpler return metrics, and how to interpret it in real investment contexts.
What Is CAGR?
CAGR (Compound Annual Growth Rate) is a geometric mean that represents the rate at which an investment would have grown had it grown at a constant rate each year. Because real investments fluctuate in value, CAGR smooths year-to-year volatility into a single representative rate.
CAGR is a backward-looking measurement — it describes what actually happened over a specific historical period, not what will happen in the future. It is commonly used to compare mutual fund returns, evaluate business revenue growth, and benchmark investment performance against indices.
The CAGR Formula
CAGR = (Ending Value / Beginning Value)^(1 / Years) − 1
Total Growth % = (Ending / Beginning − 1) × 100
Growth Multiple = Ending Value / Beginning Value
Example: $10,000 grew to $25,000 over 7 years
CAGR = (25,000 / 10,000)^(1/7) − 1
= 2.5^0.1429 − 1
= 1.1398 − 1
= 13.98% per year
Total Growth: +150% | Growth Multiple: 2.5×CAGR vs Total Return vs Average Return
These three metrics answer different questions. Total return tells you the cumulative percentage change from start to finish — useful for comparing the absolute gain. Average annual return (arithmetic mean) adds each year's return and divides by the number of years. CAGR (geometric mean) represents the steady compounding rate that would produce the actual final value.
The critical difference appears when returns are volatile. An investment that gains 100% one year and loses 50% the next breaks even ($1,000 → $2,000 → $1,000). Its arithmetic average return is +25% — highly misleading. Its CAGR is exactly 0%, which accurately reflects that the investor ended up where they started. CAGR is almost always lower than the arithmetic average when there is any year-to-year volatility.
CAGR in Real Investment Contexts
The S&P 500 has delivered approximately 10% nominal CAGR and 7% inflation-adjusted CAGR over long historical periods (though any specific window varies substantially). This benchmark is commonly used to evaluate whether an investment is outperforming or underperforming the broad market.
For business analysis, revenue CAGR is a standard measure of company growth. A company growing revenue at 20%+ CAGR is considered fast-growing. For private equity and venture capital, portfolio CAGR (or IRR, which is closely related) determines whether investments are meeting return targets. For real estate, price appreciation CAGR over multi-decade periods has historically run 3–5% in most US markets.
Key Points to Remember
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CAGR is backward-looking — it describes historical performance, not a guarantee of future returns.
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When comparing two investments, make sure the time periods are similar. CAGR across different durations is not directly comparable.
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Inflation-adjusted CAGR (real CAGR) = Nominal CAGR − Inflation Rate (approximately). This is the true growth in purchasing power.
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CAGR does not reflect risk. Two investments can have the same CAGR but very different volatility profiles — use standard deviation or Sharpe ratio alongside CAGR for risk-adjusted comparison.
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CAGR can be negative — it simply means the investment declined in value over the period.
Frequently Asked Questions
What is a good CAGR for an investment?
It depends on the asset class and risk level. Broad stock market indices have historically produced 7–10% nominal CAGR over long periods. Individual stocks, venture investments, or real estate may show higher or lower CAGRs. A CAGR that exceeds the appropriate benchmark (e.g., the S&P 500 for US equities) indicates outperformance.
Can CAGR be used for irregular time periods?
Yes. The formula works with fractional years — for example, 2.5 years. Simply use the actual elapsed time as the exponent denominator. This lets you compare the performance of investments held for different lengths of time on an annualized basis.
Is CAGR the same as IRR?
CAGR and IRR (Internal Rate of Return) are closely related but not identical. CAGR assumes a single beginning investment and a single ending value. IRR accounts for intermediate cash flows (additional investments or withdrawals along the way). For a simple buy-and-hold investment with no cash flows, CAGR and IRR produce the same result.
Does CAGR account for dividends?
Standard CAGR calculated from price alone does not include dividends. Total return CAGR — calculated using the total return index (price appreciation + reinvested dividends) — does. For evaluating income-producing investments, always use total return CAGR to avoid understating performance.
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