Compound Annual Growth Calculator
Returns almost never arrive in a straight line, which makes “how fast did this actually grow?” a harder question than it looks. The compound annual growth rate, CAGR, answers it with one number: the steady yearly rate that would carry a beginning value to an ending value over a set number of years, compounding as it goes.
Enter the beginning value, the ending value, and the years between them. This calculator returns the CAGR alongside the total growth in dollars and the total return, so the smoothed rate never floats free of the actual change it summarizes.
CAGR is a smoothed, representational rate: it describes the steady growth that connects your two values, not the path the value actually took between them. It needs no contributions or withdrawals in between; money added or removed mid-period needs a money-weighted return instead.
Quick Answer
Key takeaways
- CAGR = (Ending ÷ Beginning)1/years − 1. Three inputs, one smoothed annual rate.
- CAGR is not the return of any single year. It is the constant rate that reproduces the ending value when compounded.
- Never divide total return by years: that arithmetic average ignores compounding and overstates growth.
- CAGR only sees the endpoints. It says nothing about volatility, drawdowns, or money added and withdrawn in between.
- Quick Answer
- How to use the compound annual growth calculator
- The CAGR formula, step by step
- Worked example, verified against the tool
- CAGR vs the constant growth rate solver: which page do you need?
- When CAGR misleads, and what to use instead
- What competing calculators miss
- Frequently Asked Questions
- Add This Calculator to Your Website
- References
How to use the compound annual growth calculator
Enter the value at the start of the period, the value at the end, and the number of years between the two measurements. The values can be anything measured consistently: an investment balance, a company's revenue, a website's traffic, a property price. Decimals work for the years field, so a holding period of two and a half years is entered as 2.5 rather than rounded. Press Calculate CAGR and read all three outputs together: the CAGR for comparisons, the total return for the size of the whole move, and the total growth for the dollar amount.
Two input choices decide whether the answer means anything. First, the beginning and ending values must be measured the same way, same account, same definition of revenue, same price basis. Second, the period must be the actual distance between those measurements; counting a 4 year and 3 month span as 5 years quietly understates the rate. If instead you know the rate and want the time dimension, that is the reverse question: the compound interest doubling time calculator solves for how long a given rate takes to double a value.
The CAGR formula, step by step
Divide the endpoints. $15,000 ÷ $10,000 = 1.5, the total growth multiple over the whole period.
Take the root for the years. Raise 1.5 to the power 1 ÷ 5, which gives about 1.0845. This is the step that spreads the growth evenly across each year with compounding.
Subtract 1 and read it as a percentage. 1.0845 − 1 = 0.0845, a CAGR of 8.45%. Check it: $10,000 growing at a steady 8.45% for 5 years lands back on $15,000.
The root in step 2 is what separates CAGR from a simple average. Investment references such as the TIKR guide to the CAGR formula stress the same point: CAGR is a representational figure, the rate that would be required for an investment to grow from its beginning balance to its ending balance with profits reinvested each year, not a record of what any individual year actually returned.
Worked example, verified against the tool
The calculator is pre-filled with this case, and the outputs below are exactly what it displays, including its dollar formatting.
| Output | Result | Calculation |
|---|---|---|
| CAGR | 8.45% | (15,000 ÷ 10,000)1/5 − 1 |
| Total growth | $5000.00 | 15,000 − 10,000 |
| Total return | 50.00% | 5,000 ÷ 10,000 × 100 |
| Simple average (for contrast) | 10.00% a year | 50% ÷ 5, the wrong way to annualize |
The contrast row is the most instructive number on this page. Compounding $10,000 at the naive 10% average for 5 years gives $16,105.10, overshooting the real ending value by more than $1,100. The CAGR of 8.45% is the only constant rate that hits $15,000 exactly. The same formula handles decline without any special casing: $20,000 falling to $8,000 over 4 years returns a CAGR of −20.47%, a smoothed shrinkage rate, and the total return reads −60.00%.
CAGR vs the constant growth rate solver: which page do you need?
This page and the constant growth rate calculator are close relatives, and the boundary matters. This CAGR page assumes you know both endpoint values and the time span, and you want the annual percentage the series grew at: the framing used for investment performance, revenue growth, and market size reporting. The constant growth rate calculator is the general solver for the same underlying equation: give it any three of present value, future value, number of periods, and growth rate, and it solves for the fourth, which is what you need to project a value forward or work out how many periods a target takes.
Rule of thumb: reporting what happened calls for CAGR on this page; planning or solving for an unknown calls for the general solver. The family connects in the other direction too. Working a balance backwards from a target rate is a backward compound interest calculator problem, expressing a finished CAGR as a monthly figure is handled by the annual growth rate to monthly calculator, and a fund-style CAGR return calculator view suits readers comparing investment returns specifically.
When CAGR misleads, and what to use instead
CAGR's strength, ignoring everything between the endpoints, is also its weakness. Two investments can share an identical CAGR while one climbed steadily and the other doubled, crashed, and recovered; the risk you lived through is invisible in the number. Fund marketing leans on this, quoting the window that flatters the rate, so compare CAGRs only over identical periods.
Three situations call for a different tool entirely. If you added or withdrew money during the period, CAGR overstates or understates your personal return, and a money-weighted measure such as internal rate of return is the honest figure. If the beginning value is zero or negative, CAGR is mathematically undefined, which is why this calculator asks for positive values. And if the period is under a year, annualizing a few months of movement produces spectacular, meaningless percentages. Used inside its limits, though, CAGR is the fairest single number for comparing growth across different assets and different time spans, because it puts every contender on the same per-year, compounding basis.
What competing calculators miss
The top CAGR tools reviewed for this page get the core formula right; the gaps are in what surrounds it. Several return the percentage alone, leaving the dollar growth and total return for you to work out, even though the three figures answer different questions and belong together. Many bury the decline case, presenting CAGR as a growth-only metric, when a negative CAGR is often the number a struggling business or a falling fund most needs stated plainly.
The subtler miss is the naive-average trap. Few competitors show the simple division answer next to the real one, so readers leave still believing a 50% five-year return means 10% a year. This page shows the contrast explicitly, states the endpoint-only limitation in the calculator itself rather than in fine print, and accepts fractional years, which several top tools round away.
Frequently Asked Questions
The steady annual rate that would grow a beginning value into an ending value over a given number of years, with growth compounding each year. It smooths the real, uneven path into one comparable number.
Total return is the whole change over the period: $10,000 to $15,000 is a 50.00% total return. CAGR annualizes that change with compounding: 8.45% per year over 5 years. Same endpoints, different question.
Because that ignores compounding. 50% over 5 years divided simply gives 10% a year, but growing $10,000 at 10% compounded for 5 years ends at $16,105.10, not $15,000. The CAGR of 8.45% is the rate that actually reproduces the ending value.
Yes. If the ending value is smaller than the beginning value, the formula returns a negative rate: $20,000 falling to $8,000 over 4 years has a CAGR of −20.47%, the smoothed annual rate of decline.
No. CAGR uses only the beginning value, ending value, and time. Contributions and withdrawals change the result in ways it cannot see, so a money-weighted return such as IRR is the right measure for accounts with cash flows.
It depends on what is being measured. Broad stock market indexes have historically compounded at roughly 7 to 10% a year over long periods, while a young company's revenue might grow at 20% or more. Judge a CAGR against its own category and over the same period, never in isolation.
Yes. The years field accepts decimals, so partial periods are annualized correctly instead of being rounded to whole years.
This page computes the annual percentage growth of a value series when you know both endpoints and the time span. The constant growth rate calculator is the general solver: it finds any one unknown among present value, future value, periods, and rate when you know the other three.
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References
- TIKR, "Compound Annual Growth Rate (CAGR): Formula and What It Means": CAGR as the rate required for an investment to grow from beginning balance to ending balance with profits reinvested, and the warning that it is a representational figure, not a true year-by-year return. TIKR: CAGR Formula and What It Means. Accessed October 2026.
- Belong, "How to Calculate CAGR on an Investment: A Clear Guide": step-by-step CAGR calculation and a candid treatment of what the smoothed rate leaves out, including currency and volatility effects. Belong: How to Calculate CAGR. Accessed October 2026.
- Under30CEO, "CAGR" term guide: the formula, the difference between CAGR and average annual return, and why the arithmetic average ignores compounding. Under30CEO: CAGR Definition and Formula. Accessed October 2026.