The CAGR calculator provided by Hesapstan helps you turn a starting value, ending value, and duration into a compound annual growth rate, with total change and growth multiplier shown separately.
What does CAGR measure?
CAGR, or compound annual growth rate, shows the constant annual rate that would take a starting value to an ending value over a given period. It smooths the path into one annualized compound rate.
This calculator uses your starting value, ending value, and duration to return the CAGR percentage, total percentage change, and growth multiplier. It answers both “how much did it change?” and “what annual compound rate would produce that change?”
CAGR is a constant-growth summary between two points. It does not show interim volatility, drawdowns, cash flows, or any guarantee of future return.
How the CAGR formula works
The formula divides the ending value by the starting value, raises that ratio to the power of 1 divided by the number of years, then subtracts 1. The result is displayed as a percentage.
- Find the growth multiplier: ending value / starting value.
- Use the duration in years. If months are selected, the calculator divides them by 12.
- Raise the multiplier to 1 / years.
- Subtract 1 and convert the result to a percent.
If you enter duration in months, the calculator converts it to years before applying the CAGR formula. For example, 18 months is treated as 1.5 years.
Example: 10,000 to 25,000 in 5 years
If the starting value is 10,000, the ending value is 25,000, and the duration is 5 years, the growth multiplier is 2.5. The total change is 150%.
- Start: 10,000
- End: 25,000
- Duration: 5 years
- CAGR: about 20.11%
- Total change: 150%
- Growth multiplier: 2.5×
This does not mean the value actually rose by 20.11% every year. It means that a steady annual compound growth rate of about 20.11% would turn 10,000 into roughly 25,000 over 5 years.
Can CAGR be negative?
Yes. If the ending value is lower than the starting value, CAGR is negative. That is a valid result and means the value declined at an annualized compound rate.
For example, a value falling from 20,000 to 15,000 over 3 years has a total change of −25%. Its CAGR is about −9.14%.
A total decline of −25% does not mean the value lost −25% every year. CAGR annualizes the total decline into one compound yearly rate.
CAGR vs compound interest, ROI, and real return
CAGR solves for the rate from a starting value, ending value, and time period. Compound interest calculators usually project a future value from a known rate. The direction of calculation is different.
- CAGR asks: “What annual compound rate connects these two values?”
- Compound interest asks: “What future value results from this rate and duration?”
- ROI focuses on total return without annualizing it.
- Real return adjusts a nominal return for inflation.
If money was added or withdrawn during the period, CAGR can be misleading as a performance measure. A cash-flow-aware method such as internal rate of return may be more appropriate.
When CAGR is useful
CAGR is useful for comparing growth over different time spans, especially when you want a single annualized rate for a fund, portfolio, revenue figure, user count, or business metric.
- Comparing investments with different holding periods.
- Summarizing 3-year or 5-year portfolio growth.
- Turning revenue growth into an annualized rate.
- Separating total change from annualized compound growth.
It should be paired with other information when risk matters: volatility, drawdown, cash flows, fees, taxes, and inflation can all change the practical meaning of the number.
What this calculator does not do
This tool performs a pure user-input formula. It does not fetch market data, fund returns, inflation data, or official performance figures.
- It does not project a future value from a known rate; use a compound interest calculator for that.
- It does not account for interim deposits, withdrawals, or recurring contributions.
- It does not adjust for inflation; use a real return calculation for that.
- It does not automatically include fees, taxes, currency conversion, or trading costs.
The starting and ending values can be in any currency or unit, but they should be in the same unit. CAGR only uses the ratio between them.
Common interpretation mistakes
- Reading CAGR as the actual return earned in each individual year.
- Ignoring volatility between the starting and ending points.
- Using CAGR for a portfolio with major deposits or withdrawals.
- Confusing total percentage change with annualized growth.
- Treating nominal CAGR as inflation-adjusted real return.
A careful reading is: CAGR is a clean annualized summary, not a complete investment analysis.
Frequently Asked Questions
What does CAGR stand for?
CAGR stands for compound annual growth rate. It is the annualized compound rate connecting a starting value to an ending value over a period.
Is CAGR the same as total return?
No. Total return is the full percentage change from start to end. CAGR converts that change into an annual compound rate.
Can CAGR be negative?
Yes. If the ending value is lower than the starting value, the CAGR is negative and represents an annualized compound decline.
Can I enter the period in months?
Yes. If you choose months, the calculator divides the duration by 12 before applying the CAGR formula.
Does CAGR predict future performance?
No. CAGR summarizes a given past or hypothetical period. It does not guarantee or predict future returns.
Should I use CAGR if there were cash flows during the period?
Be careful. CAGR assumes only a start value and an end value. If there were deposits, withdrawals, or recurring contributions, a cash-flow-aware return measure may be better.