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Ten thousand becoming 16,105.10
Start with 10,000, end with 16,105.10, and use 5 years. That path is a 10 percent annual compound rate, because 1.10 to the fifth power is 1.61051.
Starting value: 25% lower
Change starting value to 7,500 while keeping the other example values the same.
Starting value: 25% higher
Change starting value to 12,500 while keeping the other example values the same.
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Quick answer
What does the Compound annual growth rate calculate?
What constant annual rate turns a starting amount into an ending amount? This calculator uses starting value, ending value, and years to estimate constant annual compound rate immediately in your browser.
With the values currently entered, the result is 10% — compound annual growth rate. It also shows total change, growth multiple, and years in the exponent.
How to use the Compound annual growth rate
- Replace the example values with your own numbers.
- Review the result and supporting figures as they update automatically.
- Check the formula and assumptions before using the estimate for a decision.
Inputs used
- Starting value
- Ending value
- Years — entered in years
Compound annual growth rate formula
CAGR = (ending value ÷ starting value)^(1 ÷ years) − 1
Assumptions
- CAGR is the constant annual rate that would take the starting value to the ending value if growth compounded once a year.
- Investor.gov describes compound interest as earnings on both principal and earlier interest. CAGR solves that relationship for the rate. It ignores extra deposits, withdrawals, and year-to-year swings.
Verify the inputs
Authoritative sources
These sources explain the definitions, factors, or rules behind this tool. Their geographic scope is shown because an official source for one country is not automatically valid somewhere else.
A plain-language definition of interest earned on principal and accumulated interest.
Compound annual growth rate (CAGR)Investor.gov — US Securities and Exchange CommissionScope: General investor education; US sourceSEC glossary entry for the constant annual rate that compounds a starting value into an ending value.
Sources do not endorse Calculum. Check the source date, scope, and your own documents before making a financial, tax, insurance, or reporting decision.
Practical guide
Compound annual growth rate example and edge cases
CAGR is the constant annual rate that takes a starting amount to an ending amount. It is the compound-interest idea Investor.gov describes, solved for the rate instead of the future value.
Example: Ten thousand becoming 16,105.10
Start with 10,000, end with 16,105.10, and use 5 years. That path is a 10 percent annual compound rate, because 1.10 to the fifth power is 1.61051.
- Starting value
- 10,000
- Ending value
- 16,105.1
- Years
- 5 years
Calculated result10%compound annual growth rate
Compare this rate with the compound savings calculator if you want to grow a balance forward. CAGR only looks back at two values.
Example results use the default display profile. The calculator above follows your selected country and units.
How to read the result
- A 10 percent CAGR does not mean the account rose 10 percent every year. It is the single rate that connects the two ends.
- Deposits and withdrawals break the story. CAGR treats the ending value as if the start grew on its own.
Edge cases worth checking
Money was added along the way
Do not use CAGR on a balance that includes later deposits. The extra cash looks like growth that never happened.
The ending value is lower
A negative CAGR is a real result. It is the constant annual drop that reaches the lower amount.
What changes the result most
Starting value
Use a current amount for starting value. Include fees or recurring costs that belong in the same figure.
Ending value
Use a current amount for ending value. Include fees or recurring costs that belong in the same figure.
Years
Keep years on the same time basis as the other inputs. Monthly and annual values are easy to mix up.
Try a different scenario
Small changes show whether the answer is stable or sensitive.
Starting value: 25% lower
7,50016.51%compound annual growth rate
Starting value: 25% higher
12,5005.2%compound annual growth rate
Ending value: 25% higher
20,131.37515.02%compound annual growth rate
Common mistakes
Check starting value
CAGR is the constant annual rate that would take the starting value to the ending value if growth compounded once a year. Make sure this matches the number you enter.
Keep years consistent
Investor.gov describes compound interest as earnings on both principal and earlier interest. CAGR solves that relationship for the rate. It ignores extra deposits, withdrawals, and year-to-year swings. Use the same units and time period throughout the calculation.
Do not rely on one compound annual growth rate scenario
Run a cautious case and an optimistic case. The range is often more useful than one exact-looking number.
Use this result well
What constant annual rate turns a starting amount into an ending amount?
It is a planning estimate, not a forecast or personal financial advice.