Calculate Compound Annual Growth Rate (CAGR) in Excel
Easily calculate your investment's or business's Compound Annual Growth Rate (CAGR) and understand its performance over time.
CAGR Calculator
What is Compound Annual Growth Rate (CAGR)?
The Compound Annual Growth Rate, commonly known as CAGR, is a crucial financial metric used to measure the average annual rate at which an investment or business metric has grown over a specific period, assuming that profits were reinvested at the end of each year. It smooths out volatility, providing a more representative growth rate than simple average growth.
CAGR is particularly useful for comparing the performance of different investments over time, as it accounts for compounding. It's widely used by investors, financial analysts, and business owners to assess historical performance, project future growth, and make informed decisions.
Who Should Use CAGR?
- Investors: To evaluate the historical returns of stocks, mutual funds, or their entire portfolio.
- Business Owners: To track revenue growth, customer acquisition, or other key performance indicators (KPIs) over several years.
- Financial Analysts: For valuation, forecasting, and comparing companies within an industry.
A common misunderstanding is that CAGR represents the actual year-over-year growth, which can fluctuate significantly. CAGR is a theoretical constant rate of return that would yield the same cumulative growth if applied consistently each year. It doesn't show the interim ups and downs.
Understanding CAGR is fundamental for anyone involved in financial analysis or investment evaluation. For more on financial metrics, explore our related financial tools.
CAGR Formula and Explanation
The formula for calculating Compound Annual Growth Rate is straightforward and can be easily implemented in spreadsheets like Excel or using our dedicated calculator.
The CAGR Formula
CAGR = ((Ending Value / Beginning Value) ^ (1 / Number of Years)) – 1
Formula Variables Explained
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Ending Value | The final value of the investment or metric at the end of the period. | Unitless (e.g., Dollars, Euros, Units Sold, Revenue) | Positive number |
| Beginning Value | The initial value of the investment or metric at the start of the period. | Unitless (e.g., Dollars, Euros, Units Sold, Revenue) | Positive number |
| Number of Years | The total number of years over which the growth occurred. | Years | Greater than 0 |
| CAGR | The Compound Annual Growth Rate. | Percentage (%) | Can be positive or negative |
Note: For calculations, the values are treated as unitless ratios. The resulting CAGR is then expressed as a percentage. Ensure the units for Beginning Value and Ending Value are consistent.
Practical Examples of CAGR Calculation
Let's walk through a couple of examples to illustrate how CAGR works in practice.
Example 1: Investment Growth
Suppose you invested $10,000 in a mutual fund at the beginning of 2019. By the end of 2023 (5 years later), your investment had grown to $18,000.
- Beginning Value: $10,000
- Ending Value: $18,000
- Number of Years: 5
Using the CAGR formula: CAGR = (($18,000 / $10,000) ^ (1 / 5)) – 1 CAGR = (1.8 ^ 0.2) – 1 CAGR = 1.1247 – 1 CAGR = 0.1247 or 12.47%
This means your investment grew at an average annual rate of 12.47% over those 5 years.
Example 2: Business Revenue Growth
A small e-commerce business had $50,000 in revenue in 2020. By the end of 2023 (3 years later), their revenue had increased to $90,000.
- Beginning Value: $50,000
- Ending Value: $90,000
- Number of Years: 3
Using the CAGR formula: CAGR = (($90,000 / $50,000) ^ (1 / 3)) – 1 CAGR = (1.8 ^ 0.3333) – 1 CAGR = 1.2163 – 1 CAGR = 0.2163 or 21.63%
The business experienced an average annual revenue growth rate of 21.63% over the 3-year period.
Try these scenarios in our CAGR calculator above to see how quickly you can get results!
How to Use This CAGR Calculator
Our calculator is designed to be intuitive and provide immediate results. Follow these simple steps:
- Input Beginning Value: Enter the starting value of your investment or business metric. This could be the initial amount invested, the revenue from the first year, etc.
- Input Ending Value: Enter the final value of your investment or business metric at the end of your chosen period.
- Input Number of Years: Specify the total duration of the period in years. Ensure this accurately reflects the time between the beginning and ending values.
- Click "Calculate CAGR": Press the button, and the calculator will instantly display your Compound Annual Growth Rate.
The results section will also show your Total Growth (overall percentage increase) and an approximate Average Annual Value for context.
Selecting Correct Units: While the calculator treats inputs as unitless ratios for calculation, ensure your Beginning and Ending Values are in the *same* units (e.g., both in USD, both in units sold, both in number of customers). The result is always a percentage.
Interpreting Results: A positive CAGR indicates growth, while a negative CAGR signifies a decline. Compare CAGR figures across different investments or periods to gauge relative performance. Remember, CAGR is a smoothed average and doesn't reflect volatility.
For more advanced calculations, you might find our future value calculator useful.
Key Factors That Affect CAGR
While the CAGR formula is simple, several underlying factors influence the calculated rate:
- Magnitude of Initial and Final Values: Larger differences between the beginning and ending values, especially over shorter periods, will result in higher absolute CAGR figures.
- Duration of the Period (Number of Years): A longer period allows growth to compound more significantly, potentially leading to a different CAGR than observed over a shorter sub-period, even if the end values are the same.
- Volatility of Returns: CAGR smooths out volatility. Two investments with the same beginning and ending values and duration can have vastly different year-to-year performance, but their CAGR will be identical. This highlights CAGR's role as an average.
- Reinvestment Assumption: CAGR inherently assumes that all earnings or profits are reinvested. If earnings are withdrawn, the actual growth will differ from the CAGR.
- Inflation: The calculated CAGR is a nominal rate. To understand the real purchasing power growth, CAGR should be adjusted for inflation, yielding the Real CAGR.
- Market Conditions and Economic Cycles: External factors like economic recessions, booms, interest rate changes, and industry trends significantly impact the actual growth of investments and businesses, which are then reflected in the CAGR.
- Management Effectiveness (for Businesses): Strategic decisions, operational efficiency, and market positioning by a company's management team directly influence revenue and profit growth, thereby impacting CAGR.
- Investment Strategy: Whether an investment is passive or actively managed, its risk profile, and the diversification level all play a role in its growth trajectory and thus its CAGR.
Understanding these factors helps in interpreting CAGR more accurately and appreciating its limitations.
Frequently Asked Questions (FAQ) about CAGR
=RATE(nper, pmt, pv, [fv], [type]) where nper is the number of years, pv is the negative of the beginning value, and fv is the ending value. Our calculator automates this.