Average Growth Rate Calculator
Enter a beginning value, ending value, and number of periods to calculate the compound average growth rate (CAGR) and simple per-period average growth.
If you have ever asked, “How fast did this investment, business, or metric actually grow over time?” this calculator gives you a fast and clear answer. It is built for investors, entrepreneurs, analysts, students, and anyone tracking progress.
What is average growth rate?
The term average growth rate is used in two common ways:
- Compound average growth rate (CAGR): Assumes growth compounds each period. This is usually the most useful metric for long-term performance.
- Simple average growth per period: Total percentage change divided by number of periods. Useful for rough comparisons but less precise when compounding matters.
For financial returns and multi-year trends, CAGR is typically preferred because it captures the “smoothed” annualized growth rate.
Average growth rate formula
Compound average growth rate (CAGR)
CAGR = (Ending Value / Beginning Value)1 / n − 1
Where n is the number of periods. Multiply by 100 to express it as a percentage.
Simple average growth per period
Simple Average Growth = ((Ending − Beginning) / Beginning) / n
This treats growth as linear instead of compounded, so it can understate or overstate real-world growth patterns depending on volatility and sequence.
How to use this calculator
- Enter your beginning value (starting amount).
- Enter your ending value (final amount).
- Enter the number of periods between start and end.
- Optionally set a period label (like years or months).
- Click Calculate to view CAGR, total growth, and simple average growth per period.
Worked example
Suppose revenue rose from $500,000 to $1,000,000 over 6 years.
- Total growth = (1,000,000 − 500,000) / 500,000 = 100%
- CAGR = (1,000,000 / 500,000)1/6 − 1 ≈ 12.25% per year
- Simple average growth = 100% / 6 ≈ 16.67% per year
Notice how the simple average is higher than CAGR here. CAGR is generally the better estimate of constant annual growth required to move from start to finish.
CAGR vs AAGR: what is the difference?
CAGR (Compound Annual Growth Rate)
- Assumes compounding
- Useful for long-term investments and business metrics
- Best for “what constant rate got me from A to B?” questions
AAGR (Arithmetic Average Growth Rate)
- Simple average of periodic growth rates
- Easier to calculate manually
- Can be misleading for volatile data
Where average growth rate is useful
- Investing: Portfolio growth, stock performance, retirement account projections
- Business: Revenue growth, user growth, subscription base expansion
- Real estate: Property value appreciation over time
- Personal finance: Income growth, savings progress, debt reduction trends
- Academic and policy analysis: Population, productivity, and macroeconomic trends
Common mistakes to avoid
- Mixing period types (for example, monthly values with annual period count)
- Using simple average growth instead of CAGR for compounded processes
- Ignoring inflation when interpreting “real” growth in purchasing power
- Comparing rates without the same time horizon
- Assuming historical growth will continue unchanged
Quick interpretation guide
- Positive CAGR: The value is growing over time.
- Zero CAGR: No net change over the full period.
- Negative CAGR: The value is shrinking over time.
A small difference in CAGR can have a major impact over long horizons due to compounding. That is why calculating growth accurately is so important for planning and decision-making.
Final thoughts
An average growth rate calculator is a simple tool with big value. Whether you are analyzing investments, forecasting business targets, or measuring personal progress, CAGR helps you see the underlying pace of change with clarity.