CAGR Calculator: Compound Annual Growth Rate
Calculate the constant annual growth rate that would connect a beginning value with an ending value over a selected number of years.
Inputs and calculation method
- Beginning value
- Ending value
- Number of years
CAGR smooths the entire change into one compounded annual rate. It does not show year-to-year volatility or cash flows added or withdrawn during the period.
Core formula: CAGR = (ending value ÷ beginning value)^(1 ÷ years) − 1.
How to interpret the estimate
Growing from $10,000 to $15,000 over five years is equivalent to a smoothed CAGR of approximately 8.45%, even if actual yearly returns varied.
Change one assumption at a time to understand which input has the greatest effect. Use exact figures from a lender disclosure, statement, pay record, account terms, or business records whenever possible. Calculator output is rounded and may differ from institution-specific calculations.
How to use this calculator effectively
Treat every output as a mathematical scenario. Run multiple return assumptions and distinguish contributions from projected earnings.
CAGR converts a beginning value and ending value into the constant annual growth rate that would connect them over the selected period. It is useful for summarizing multi-year change, but the actual path may have included sharp gains and losses. Use it for comparable time spans and verify whether cash contributions or withdrawals distort the endpoints.
- Step 1: Beginning value. Use a value from a current statement, written quote, account record, or documented plan whenever possible.
- Step 2: Ending value. Use a value from a current statement, written quote, account record, or documented plan whenever possible.
- Step 3: Number of years. Use a value from a current statement, written quote, account record, or documented plan whenever possible.
What changes the result most
- Beginning and ending values: CAGR depends only on the two endpoints and the number of years.
- Measurement period: even a small date difference can change the annualized result for short histories.
- External cash flows: deposits and withdrawals can make portfolio-value CAGR different from the investor’s true return.
- Volatility: two investments can report the same CAGR while having very different drawdowns and year-to-year risk.
Practical decision guide
Use CAGR to compare growth over equal periods, then inspect the annual data behind the average. For a portfolio with contributions, use a return method designed for cash flows rather than treating deposits as investment gains. For business metrics, keep definitions consistent across the beginning and ending dates.
Questions to ask before relying on the result
- Which input is documented and which one is only an assumption?
- How does the result change under a more conservative rate, cost, payment, or time horizon?
- What cash-flow, risk, tax, legal, or contractual factor is not represented by the formula?
Common mistakes to avoid
- Reading CAGR as the return earned every year.
- Including new deposits in the ending value without adjusting for them.
- Comparing a three-year CAGR with a ten-year CAGR as though the evidence were equivalent.
- Using rounded dates or periods that do not match the underlying data.
Limitations and how to verify the estimate
CAGR smooths the entire path into one rate and does not show volatility, cash-flow timing, losses, or investment risk. It is descriptive, not predictive.
Recheck the calculation when an input changes and compare the output with the applicable statement, disclosure, contract, plan document, or official source. Do not use a calculator result as a substitute for individualized financial, tax, legal, lending, investment, insurance, payroll, or accounting advice.
Save the date, inputs, and purpose of each scenario. That record makes later comparisons more reliable and helps explain why a result changed. When comparing alternatives, use the same measurement period and cost definitions; otherwise a seemingly better result may come from inconsistent assumptions rather than a genuine financial advantage.
Official references and further reading
- Investor.gov: Introduction to investing — SEC investor education covering risk, returns, fees, diversification, and long-term planning.
- Investor.gov: Financial tools and calculators — Public calculators and investor education from the U.S. Securities and Exchange Commission.
Frequently asked questions
Is CAGR the same as average annual return?
No. An arithmetic average does not account for compounding and can overstate the growth of a volatile sequence.
Can CAGR handle regular deposits?
Not correctly. Cash flows require money-weighted or time-weighted return methods.
Does CAGR predict future performance?
No. It summarizes a historical or hypothetical start-to-end change.
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Last technical review: June 26, 2026. Methodology is provided for transparency. This calculator is educational and does not provide financial, tax, legal, investment, lending, insurance, or accounting advice. Read the methodology and calculator disclaimer.