Understanding Average Annual Growth Rate (AAGR): Definition and Formula
By Markets & Investing DeskUpdated Nov 10, 2026
Definition
The average annual growth rate (AAGR) is the arithmetic mean of a series of yearly growth rates. It shows the typical one-year change but ignores compounding.
Key takeaways
- AAGR is a simple average of annual percentage changes. It applies to investment values, revenue, profit, GDP or any series measured over equal periods.
- It ignores compounding and the order of returns, so it can overstate growth when results swing between gains and losses.
- The compound annual growth rate (CAGR) uses only the starting and ending values and gives the constant rate that links them. When yearly results vary, CAGR is lower than AAGR.
- AAGR is easy to calculate and useful for spotting a trend in year-by-year results, but it includes no measure of risk or volatility.
The average annual growth rate (AAGR) is the arithmetic mean of a series of yearly growth rates. You calculate the percentage change for each year, add those percentages together, and divide by the number of years. The result is expressed as a percentage and describes the typical one-year change across the period. It ignores compounding, so it does not tell you what single steady rate would turn the starting value into the ending value.
That last point causes most of the confusion around AAGR. Two investments can share the same average annual growth rate and finish with very different amounts of money, because AAGR reflects the size of each year’s move but not how those moves build on one another.
What Is Average Annual Growth Rate?
AAGR answers one question: across these years, what was the average yearly percentage change? It treats each year as a separate observation and weights them equally. A year with 40% growth and a year with a 10% decline count the same way they would in any ordinary average.
Analysts use it in several places:
- Investments: the average yearly return of a stock, mutual fund, exchange-traded fund or whole portfolio.
- Company results: average growth in revenue, earnings, cash flow or market share.
- Economics: average growth in gross domestic product (GDP), employment or population.
The underlying data must be equally spaced. AAGR assumes each growth rate covers a period of the same length. Mixing a six-month figure with full-year figures produces a number with no clear meaning. The same averaging logic works for months or quarters, but the result is then an average monthly or average quarterly growth rate, not an annual one.
How to Calculate the Average Annual Growth Rate
The calculation has two steps: find each year’s growth rate, then average them.
Step 1: Growth rate for each year
Growth rate = (Ending value ÷ Beginning value) − 1
Dividing the ending value by the beginning value gives the growth factor, which is how many times larger the value became. A factor of 1.12 means the value is 112% of where it started. Subtracting 1 removes the original 100% and leaves the change itself, here 0.12 or 12%. The formula (Ending − Beginning) ÷ Beginning is algebraically identical and gives the same answer.
Step 2: The AAGR formula
AAGR = (GR₁ + GR₂ + … + GRₙ) ÷ N
where:
- GR₁, GR₂ … GRₙ = the growth rate in each year
- N = the number of yearly growth rates (periods), not the number of data points
N is a common source of errors. Five year-end values produce only four growth rates, so the divisor is 4. In a spreadsheet, put the values in one column, compute each year’s change in the next column, and take the AVERAGE of that second column.
Worked Example: Calculating AAGR
Hypothetical example. An investment is worth $50,000 at the start and has these year-end values:
| Year | Year-end value | Calculation | Growth rate |
|---|---|---|---|
| Start | $50,000 | ||
| 1 | $56,000 | 56,000 ÷ 50,000 − 1 | 12% |
| 2 | $61,600 | 61,600 ÷ 56,000 − 1 | 10% |
| 3 | $55,440 | 55,440 ÷ 61,600 − 1 | −10% |
| 4 | $66,528 | 66,528 ÷ 55,440 − 1 | 20% |
AAGR = (12% + 10% − 10% + 20%) ÷ 4 = 32% ÷ 4 = 8%
Now test that figure. If the investment had grown exactly 8% every year, $50,000 would become $50,000 × 1.08⁴ ≈ $68,024. The actual ending value is $66,528. The average overstates the real outcome because the 10% loss in year 3 came off a larger base than the gains that followed had to rebuild from. The rate that actually links $50,000 to $66,528 in four years is about 7.40% (shown in the CAGR section below).
A Public-Data Example: U.S. Real GDP
AAGR also applies to economic data. U.S. real GDP growth for 2019 through 2023, as reported in Federal Reserve Bank of St. Louis data, was 2.5%, −2.2%, 5.8%, 1.9% and 2.5%. The five-year AAGR is:
(2.5 − 2.2 + 5.8 + 1.9 + 2.5) ÷ 5 = 10.5 ÷ 5 = 2.1%
The single figure hides the 2020 contraction and the 2021 rebound, which shows both why AAGR is convenient and what it leaves out. Real GDP growth is already adjusted for price changes. If you average nominal figures such as unadjusted revenue or wages, part of the growth may simply reflect inflation.
Why the Average Annual Growth Rate Is Used
AAGR is popular because it is quick, intuitive and uses data that is often already published as yearly percentage changes. Company reports, economic releases and fund fact sheets usually list year-over-year figures, and averaging them takes seconds.
It is useful for:
- Summarizing a trend: whether a company’s revenue has typically grown by low single digits or by double digits.
- Rough comparisons: setting two businesses, two economies or two funds side by side on the same footing, as long as the periods match.
- Describing a typical year: for questions about a single year rather than the cumulative path, such as “what does an average year look like for this metric?”, the arithmetic mean is the right statistic.
That last use explains why AAGR and CAGR both exist. AAGR describes the average single year. CAGR describes the overall journey from start to finish.
AAGR vs. CAGR
The compound annual growth rate (CAGR) ignores the yearly path and looks only at where the value started and where it ended:
CAGR = (Ending value ÷ Beginning value)^(1 ÷ number of years) − 1
For the hypothetical investment above:
CAGR = (66,528 ÷ 50,000)^(1/4) − 1 = 1.33056^0.25 − 1 ≈ 7.40%
Check it: $50,000 × 1.074⁴ ≈ $66,525, which matches the actual ending value apart from rounding. CAGR is the steady rate that reproduces the real result. AAGR does not have that property.
| AAGR | CAGR | |
|---|---|---|
| Type of average | Arithmetic mean of yearly rates | Geometric (compounded) rate |
| Inputs | Every year’s growth rate | Beginning value, ending value, number of years |
| Compounding | Ignored | Built in |
| Effect of volatility | Not penalized | Lowers the result |
| Reproduces the ending value? | Only if growth was identical every year | Yes |
When the Gap Becomes Large
With steady growth the two measures stay close. They diverge sharply when returns alternate between large gains and losses.
Hypothetical example: $100,000 rises 100% to $200,000 in year 1, then falls 50% back to $100,000 in year 2.
- AAGR = (100% − 50%) ÷ 2 = 25%
- CAGR = (100,000 ÷ 100,000)^(1/2) − 1 = 0%
The investor ended where they began, yet the average annual growth rate reports 25% a year. A similar distortion shows up in the opposite pattern: a 50% gain followed by a 50% loss gives an AAGR of 0%, but $100,000 becomes $150,000 and then $75,000, a 25% loss.
The arithmetic average of yearly rates is never lower than the compounded rate. The two are equal only when every year’s growth is identical. A rough rule of thumb says CAGR ≈ AAGR − (variance of the yearly returns ÷ 2), so the more the yearly figures scatter, the wider the gap. For anything involving actual money accumulated over time, such as projecting a portfolio or comparing a fund’s realized performance, CAGR is the more accurate number. Many spreadsheets provide it directly (in Excel, the RRI function returns it from the number of periods, starting value and ending value).
Limitations of the Average Annual Growth Rate
- No compounding. AAGR treats each year in isolation, so applying it forward as though it were a steady rate will usually overstate future values.
- Sensitive to outliers. One extreme year, such as a crash or a rebound from a very low base, can pull the average far from what happened in most years.
- Ignores order and timing. The same set of yearly rates produces the same AAGR in any sequence, even though cash flows and withdrawals make the sequence matter to an investor.
- No measure of risk. An investment with wild swings can show the same or a higher AAGR than a stable one. To judge risk you need separate tools such as standard deviation or the Sharpe ratio.
- Implies smoothness that may not exist. A single percentage suggests consistent growth across the period, which can hide a decline or a period of stagnation.
Related Terms People Confuse With AAGR
Annual growth rate. Usually this means the change over one specific year (year-over-year growth), calculated with the single-year formula above. AAGR is the average of several of these.
Average growth rate. A broader phrase. It may refer to an arithmetic average (AAGR) or a compounded average (CAGR) over any period length. Check which method a source used before comparing its figures with yours.
Total (cumulative) growth. The overall change from start to finish: Ending value ÷ Beginning value − 1. In the worked example, total growth is 33.06% over four years. Dividing total growth by the number of years (33.06 ÷ 4 ≈ 8.3%) gives neither AAGR nor CAGR, although it is sometimes mislabeled as an annual growth rate.
Return on investment. ROI measures total gain relative to cost over a holding period, without annualizing. It corresponds to total growth rather than to a yearly average.
FAQs
Is 8% average annual growth over five years the same as growing 8% every year?
No. Growing exactly 8% every year compounds to 1.08⁵ − 1 ≈ 46.9% total growth. An AAGR of 8% with uneven yearly results produces less total growth than that, and the more the yearly figures vary, the bigger the shortfall. Only identical yearly rates make the two equivalent.
How much does a cost rise in total if it increases a fixed percentage each year?
Compound the yearly factor: total increase = (1 + rate)^years − 1. Over three years, a 3% yearly increase totals about 9.27% (1.03³), 5% totals about 15.76% (1.05³), and 7% totals about 22.50% (1.07³). Adding the rates (9%, 15%, 21%) understates the total because each increase applies to an already higher amount.
How do I convert a monthly growth rate into an annual rate?
To get the compounded annual figure, raise the monthly growth factor to the 12th power and subtract 1. A 1.7% monthly rate becomes 1.017¹² − 1 ≈ 22.4% a year. Multiplying by 12 gives about 20.4%, which is a simple, non-compounded figure and understates the result if the growth actually builds month on month.
Should I use AAGR or CAGR?
Use AAGR to describe what a typical single year looked like or to summarize a series of published yearly changes. Use CAGR to describe how much a value actually grew per year from start to finish, to compare realized investment performance, or to project a value forward at a steady rate.
The Bottom Line
AAGR matters to anyone reading fund fact sheets, company reports or economic data that list yearly percentage changes. It works well for describing a typical year or spotting a trend, but it can overstate growth when results swing between gains and losses. For money accumulated over time, such as projecting a portfolio or judging a fund's realized performance, CAGR gives the more accurate figure, and risk needs separate measures.
