Annual growth rate measures change from one year to the next; its interpretation depends on the comparison period, starting value, and cash-flow treatment.
Annual growth rate is the percentage change in a financial measure from one year to the next. It can describe a company’s annual revenue, an asset’s year-end market value, or a quarter’s revenue compared with the same quarter a year earlier. The measure and comparison dates must be stated: growth in an account balance is not necessarily an investment return.
For a positive starting value:
The result is a decimal rate; multiply by 100 to express it as a percentage. Use comparable values from periods one year apart.
For a balance-sheet amount, compare two measurement dates. For a flow such as revenue, compare amounts earned over equivalent periods. Do not compare a quarter’s sales with a full year’s sales and label the result annual growth.
A hypothetical business reports the following revenue, in millions of dollars:
| Period | Year 1 | Year 2 |
|---|---|---|
| Q1 | $100 | $100 |
| Q2 | $100 | $100 |
| Q3 | $100 | $100 |
| Q4 | $100 | $120 |
| Full year | $400 | $420 |
Its full-year revenue growth is:
Its Q4 year-over-year growth is:
Both statements are correct. The 5% rate measures the change in annual totals; the 20% rate compares only the fourth quarters. Neither means that sales grew by 20% in every quarter.
The BEA’s explanation of changes from one year ago makes the same timing distinction for economic statistics: a fourth-quarter comparison is not the same measure as a full-year comparison.
An annualized rate converts a shorter period’s growth into an equivalent compound yearly rate. With a quarterly decimal rate of (q):
In the revenue example, Q4 grew 20% from Q3. Repeating that rate for four consecutive quarters would imply:
That is not the business’s observed annual revenue growth, which was 5%. It is a hypothetical compound pace. Seasonal sales, a large contract, or a one-time acquisition could make repeating the quarter’s rate especially unrealistic.
The BEA describes quarterly annualization as compounding a quarterly change over four quarters. Check the publisher’s conventions before comparing a headline economic growth rate with a company’s year-over-year growth.
| Measure | What it summarizes | Main limitation |
|---|---|---|
| Annual growth rate | Change between comparable periods one year apart | Does not summarize several years or show within-year fluctuations |
| AAGR | Arithmetic average of individual annual growth rates | Does not measure compound wealth growth |
| CAGR | Constant yearly rate connecting positive starting and ending values | Hides the path between the endpoints |
For a single one-year interval using the same values, annual growth rate and CAGR are equal. Over several years, calculate each annual rate separately if the year-by-year pattern matters. Use CAGR to summarize endpoint growth, not to claim the actual annual rates were constant.
Suppose an account starts with $10,000. Its investments neither gain nor lose value and pay no income. The owner deposits $2,000 at year-end, bringing the balance to $12,000.
The account balance grew 20%, but the investment return was 0%. The deposit is new investor capital, not performance.
For accounts with deposits or withdrawals, time-weighted return and money-weighted return separate different questions about performance and cash-flow timing. The GIPS handbook’s return-calculation guidance explains the role of external cash flows in investment measurement.
Price growth also excludes dividends or interest unless the value series explicitly incorporates them. Use a defined total return measure for performance that includes investment income.
This article is educational, not personalized investment or accounting advice. Historical growth and annualized calculations do not guarantee future results.