How to Use This Calculator
- 1
Enter Period Data
Add year-value entries for each period. The calculator starts with six entries (2019-2024) that you can modify. Click 'Add Entry' for more periods or remove rows as needed.
- 2
Review Results
See your AAGR, CAGR, and Total Growth cards. The Insights panel shows AAGR vs CAGR gap, growth volatility, best/worst periods, and projection accuracy check.
Example Calculation
A business analyst evaluates a company's revenue growth from $100,000 (2019) to $160,000 (2024) with volatile year-over-year changes including a downturn.
2019 Value
$100,000
2020 Value
$112,000
2021 Value
$105,000
2022 Value
$130,000
2023 Value
$145,000
2024 Value
$160,000
Results
AAGR
10.29%
CAGR
9.86%
Total Growth
60.0%
Insights card shows AAGR vs CAGR gap of 0.
Tips
0.43pp AAGR-CAGR Gap Signals Volatility
AAGR (10.29%) exceeds CAGR (9.86%) by 0.43 percentage points. This gap widens with more volatile data — a 2pp+ gap indicates highly inconsistent growth. CAGR better represents actual compounded returns.
9.6% Std Dev Shows Uneven Growth
Year-over-year rates ranged from -6.3% to 23.8% with 9.6% standard deviation. This volatility means any single year's growth is a poor predictor of the next. For forecasting, CAGR (9.86%) provides a more reliable baseline.
AAGR Overstates Projections by 2.0%
Projecting $100,000 at 10.29% AAGR for 5 years yields $163,175 — overshooting the actual $160,000 by 2.0%. This is because AAGR ignores compounding effects. Always use CAGR for multi-year projections.
Use History to Compare Scenarios
Each calculation is saved automatically. Click the clock icon to compare different data sets, time periods, or growth scenarios side by side.
Measuring Progress: The Average Annual Growth Rate (AAGR) Calculator
For investors, businesses, and financial analysts, understanding how a value changes over time is fundamental.
The Average Annual Growth Rate (AAGR) Calculator computes the arithmetic mean of annual growth rates, offering a clear view of period-by-period performance.
For a company's revenue growing from $100,000 to $160,000 over five years with volatile swings (including a -6.3% downturn), an AAGR of 10.29% versus a CAGR of 9.86% reveals both the average yearly change and the volatility drag on compounded growth.
Unpacking the Average Annual Growth Rate Formula
The AAGR is calculated by taking the arithmetic mean of individual year-over-year growth rates.
This provides a direct average of how much a value has changed each period, without accounting for compounding.
Growth Rate (Year N) = ((Value N - Value N-1) / Value N-1) x 100
AAGR = Sum(Individual Growth Rates) / Number of Growth Rates
CAGR = (Final Value / Initial Value)^(1/Years) - 1
The AAGR-CAGR gap quantifies volatility drag — the cost of inconsistent growth on compounded returns.
Calculating AAGR for a Company's Revenue
A company's revenue over six years (2019-2024):
- 2019: $100,000
- 2020: $112,000
- 2021: $105,000
- 2022: $130,000
- 2023: $145,000
- 2024: $160,000
- Year-over-Year Growth Rates:
- 2019-2020:
((112,000 - 100,000) / 100,000) x 100 = 12.00% - 2020-2021:
((105,000 - 112,000) / 112,000) x 100 = -6.25% - 2021-2022:
((130,000 - 105,000) / 105,000) x 100 = 23.81% - 2022-2023:
((145,000 - 130,000) / 130,000) x 100 = 11.54% - 2023-2024:
((160,000 - 145,000) / 145,000) x 100 = 10.34%
- 2019-2020:
- Sum All Growth Rates:
12.00 + (-6.25) + 23.81 + 11.54 + 10.34 = 51.44% - Divide by Number of Rates (5):
51.44 / 5 = 10.29% - CAGR:
(160,000 / 100,000)^(1/5) - 1 = 9.86%
The AAGR is 10.29% and CAGR is 9.86%.
The 0.43pp gap reflects the volatility drag from the -6.3% downturn in 2021.
AAGR vs. CAGR: Choosing the Right Growth Metric
AAGR is the arithmetic mean of individual growth rates — it directly reflects year-to-year fluctuations and is useful for understanding volatility.
For the example data, AAGR of 10.29% captures that growth varied from -6.3% to 23.8%.
CAGR represents the smoothed, annualized rate assuming compounding.
It answers: "What constant rate would produce the same final value?" Here, 9.86% applied consistently for 5 years grows $100,000 to exactly $160,000.
Choose AAGR when individual period performance and volatility matter.
Choose CAGR for long-term projections and comparing investments with different time horizons.
When both are available, the gap between them (0.43pp here) is itself a useful volatility indicator.
Frequently Asked Questions
What is Average Annual Growth Rate (AAGR)?
AAGR is the arithmetic mean of year-over-year growth rates. For revenue growing from $100,000 through $112K, $105K, $130K, $145K to $160,000, the five yearly rates (12.0%, -6.3%, 23.8%, 11.5%, 10.3%) average to 10.29%. It's a simple average that treats each year equally, unlike CAGR which accounts for compounding.
How does AAGR differ from CAGR?
AAGR (10.29%) is the arithmetic average of individual growth rates. CAGR (9.86%) is the single constant rate that would grow $100,000 to $160,000 over 5 years. AAGR is always equal to or greater than CAGR — the gap (0.43pp here) increases with volatility. Use AAGR to understand typical yearly performance; use CAGR for compound projections.
Why is AAGR always higher than or equal to CAGR?
This is the arithmetic-geometric mean inequality. Volatility creates a drag on compounded growth — a 50% gain followed by a 50% loss gives 0% AAGR but -13.4% CAGR (you'd have $75, not $100). The more volatile the data, the larger the AAGR-CAGR gap. A small gap (like 0.43pp) indicates relatively stable growth.
Can AAGR be negative?
Yes. If the sum of yearly growth rates is negative, AAGR will be negative, indicating the value shrank on average each year. For example, if revenue dropped from $100K to $80K over 3 years, the negative yearly rates would produce a negative AAGR — even if one individual year showed growth.
What does a large AAGR-CAGR gap tell me?
A gap over 2 percentage points signals high volatility with potential boom-bust cycles. For example, rates of 40%, -20%, 30% give AAGR of 16.7% but CAGR of only 13.4% — a 3.3pp gap. This means AAGR-based projections would significantly overestimate actual growth. Use CAGR for realistic forecasting.
How many data points do I need for meaningful AAGR?
You need at least 2 values (giving 1 growth rate), but 5-10 periods provide more reliable averages. With only 2-3 periods, a single outlier year dominates the AAGR. With 5+ periods (like this calculator's default 6 entries), you get enough data to assess both the average trend and the volatility around it.