Calculate Growth
Investment Breakdown
What is CAGR?
CAGR (Compound Annual Growth Rate) is one of the most accurate ways to calculate and determine returns for anything that can rise or fall in value over time. It represents the smoothed, annualized growth rate of an investment over a specified period longer than one year.
Unlike a simple Average Percentage which completely ignores the mathematical effects of compounding over time, CAGR figures out what the consistent, year-over-year growth rate was, filtering out market volatility and making it easier to compare different investments.
How to Calculate CAGR
Formula: CAGR = [(Final Value / Initial Value) ^ (1 / Years)] - 1
The mathematical formula uses a geometric progression ratio to find a constant rate of return. While complex to calculate manually without a scientific calculator, it involves three distinct steps:
Step-by-Step Example: If an investment grows from $1,000 to $1,500 over 3 years:
1. Divide Final by Initial: 1500 ÷ 1000 = 1.5
2. Raise to the power of 1/Years: 1.5 ^ (1/3) = 1.1447
3. Subtract 1 and multiply by 100: (1.1447 - 1) × 100 = 14.47% CAGR
Common Uses for CAGR
CAGR is a highly versatile metric used by analysts to evaluate and predict performance across multiple financial domains.
📊 Comparing Investments
Easily compare the performance of different asset classes (like stocks vs. real estate) over the same time period by viewing their smoothed annual rates.
📈 Revenue Tracking
Businesses use CAGR to measure year-over-year sales growth, which helps smooth out the noise from seasonal spikes or one-off exceptional years.
4 Real-World CAGR Calculation Examples
See exactly how the Compound Annual Growth Rate formula applies to different types of investments and business metrics.
Stock Market Portfolio
$10k → $15k over 5 years
Real Estate Property
$250k → $350k over 10 years
Startup Revenue
$100k → $500k over 3 years
Mutual Fund
$5k → $12k over 10 years
The Rule of 72: Quick Growth Estimation
Want to know exactly how long it will take to double your money based on your CAGR? Investors use a famous mental math shortcut called the Rule of 72.
🧮 The Formula
Simply divide the number 72 by your annual CAGR percentage. The resulting number is the exact amount of years it will take for your initial investment to double in value.
📊 Example
If your mutual fund has a steady historical CAGR of 8%, you calculate: 72 ÷ 8 = 9. This means your portfolio will effectively double its total value every 9 years.
Pro Tip: Investors also use the Rule of 72 alongside our Percentage of a Percentage Calculator to map out exactly how these compounding annual rates mathematically stack on top of each other over time.
Limitations of CAGR: What It Hides
While CAGR is the gold standard for comparing investments, it is a "smoothed" average. It assumes growth happens at a perfectly steady rate, which can sometimes mask severe risks.
📉 Hides Volatility
An investment that goes up 50% year one, drops 40% year two, and goes up 50% year three might have the same CAGR as a boring bond that yields 5% steadily, but the risk profiles are vastly different.
📥 Ignores Contributions
CAGR only measures the starting balance and the ending balance. If you consistently added money to the investment every single month (like a 401k), the basic CAGR formula will incorrectly overstate the performance.
Common Historical Benchmarks
Long-term annualized growth rates for common asset classes.
S&P 500 Index
Real Estate (US)
Gold
Inflation Rate
Frequently Asked Questions
1. What is a "good" CAGR?
A "good" CAGR is highly dependent on context and asset class. In the stock market, anything above 10% is generally considered excellent, as it beats the historical average of the S&P 500. For aggressive startups, venture capitalists look for CAGRs of 30% to 50%.
2. What is the difference between CAGR and Absolute Return?
Absolute return measures total growth regardless of time. If you double your money, your absolute return is 100%. CAGR measures the *yearly* rate required to hit that total. If it took you 10 years to double your money, the CAGR is 7.18%, not 100%.
3. Can CAGR be negative?
Yes. If your final investment value is lower than your initial value, your CAGR will be a negative percentage, indicating an annualized loss of capital.
4. Total Return vs. CAGR: Which is better?
Total Return tells you exactly how much your investment grew overall as a single percentage (e.g., "I made 50% on this stock"). CAGR tells you the steady annualized rate you needed to reach that total. Total Return is best for seeing your final net profit, while CAGR is better for comparing the efficiency of different investments over varying time periods.