CAGR Return Calculator
Two investments can both “double your money” and be completely different achievements, because one took five years and the other took fifteen. Total return cannot tell them apart. CAGR can, because it converts any start value, end value and holding period into the one steady yearly rate that connects them.
This CAGR return calculator solves that rate, and then keeps going in the three directions most tools refuse to: it also projects a final value from a rate, works out the starting amount a target requires, and counts the years a target takes. Every mode reports total return, growth multiple and dollar gain alongside the headline number, and the rate mode adds a year-by-year path and a Rule of 72 doubling time.
CAGR smooths the path between two endpoints into one steady rate. It says nothing about the swings in between, and it ignores money added or taken out along the way.
Quick Answer
Key takeaways
- CAGR = (final / initial) raised to (1 / years), minus 1. It is a smoothed rate between two endpoints, not an average of yearly returns.
- This calculator solves four ways: rate, final value, initial value needed, and years needed.
- A 100% total return over 5 years is a 14.87% CAGR. Over 15 years the same doubling is only 4.73%.
- CAGR ignores the path: crashes, contributions and withdrawals between the endpoints are invisible to it.
How to use the CAGR return calculator
Pick the question first, in the mode selector at the top of the card. The card then shows only the three inputs that question needs. For the growth rate, the default mode, enter the initial value, the final value and the number of years between them; fractional years are fine, so a holding period of 3 years and 6 months goes in as 3.5. For a projection, switch to final value mode and give the rate you want to test. The other two modes work backwards from a target: what you would need to start with, or how long the climb takes.
Press Calculate and read past the headline. In rate mode the result includes the total return, the growth multiple, the dollar gain, the Rule of 72 doubling time and a year-by-year table showing the smooth path the rate implies, capped at 30 rows for very long periods. The pre-filled values are the worked example below. If your question runs the other way, from a known interest rate back to the principal it came from, the backward compound interest calculator is built for exactly that reverse job.
The CAGR formula and why the root matters
Compounding means each year’s growth applies to a bigger base than the year before. Reversing that process takes a root, not a division, and that single fact is where most hand calculations go wrong.
Divide the total return by the years instead and you get the simple average, which overstates any genuinely compounded result. A fund that gains 50% in one year and loses 50% the next has a simple average return of 0% and an actual result of minus 25% of your money. CAGR reports the second truth, because it only trusts the endpoints. Investor education material from Investor.gov on compound growth builds on the same compounding relationship, and performance-reporting practice treats the annualized figure as the only fair way to compare holdings of different lengths.
Worked example: $10,000 to $20,000 in five years
The calculator is pre-filled with this case in rate mode. Every figure below is what it returns.
| Year | Value at 14.87% steady growth | Total gain |
|---|---|---|
| 1 | $11,486.98 | $1,486.98 |
| 2 | $13,195.08 | $3,195.08 |
| 3 | $15,157.17 | $5,157.17 |
| 4 | $17,411.01 | $7,411.01 |
| 5 | $20,000.00 | $10,000.00 |
Notice the shape of the gains: $1,487 in year one, $2,589 in year five. That widening gap is compounding doing its work, and it is why the fifth root, not a fifth share, is the honest yearly rate. Check the other modes against the same case: final value mode with $10,000 at 14.87% for 5 years lands back at $20,000, and years mode confirms the 5.00 year climb. When the cash flows themselves arrive at uneven times, a time-weighted return separates the manager’s performance from your deposit timing, and the S&P 500 returns calculator gives you the market benchmark this rate should be judged against.
CAGR, simple average and total return: pick the right one
Use CAGR when
- Comparing investments held for different lengths of time
- Judging a fund or business against a benchmark period
- Setting a required growth pace for a savings target
- Describing revenue or user growth over several years
Use something else when
- You added or withdrew money during the period: use XIRR or a money-weighted return
- The period is under a year: annualizing a few months exaggerates wildly
- You need the risk story: CAGR hides every drawdown on the path
- Either endpoint is zero or negative: the formula cannot run
The benchmark habit matters as much as the formula. A 9% CAGR sounds strong until it sits next to a 10% index CAGR over the identical years, and weak until it sits next to 3% inflation. The 10 percent annual return calculator shows what a round benchmark rate compounds to, which makes a useful yardstick for your own result.
What competing calculators miss
Miss 1: one direction only. The standard CAGR tool takes start, end and years and returns a rate, full stop. Planning questions usually run the other way: what rate do I need, what will this become, how long will it take. This calculator’s four modes answer all of them with the same math, so the answers agree with each other.
Miss 2: the rate with no context. A bare percentage invites the reader to compare it against the wrong things. Here the rate arrives with its total return, multiple, dollar gain and doubling time attached, plus a year-by-year table that shows the smooth path being claimed. The gap between the claimed path and a real, jagged one is the main thing to understand about CAGR, and the table makes it visible.
Miss 3: no warning about cash flows. Most tools stay silent while users feed in account balances that include their own deposits, producing a “return” that is partly just saving. This page states the limit plainly: deposits and withdrawals need a money-weighted calculation, not CAGR.
One more honest limit: CAGR treats the two endpoints as the whole story. Two holdings with identical CAGRs can have taken wildly different risks to get there, and past CAGR, however precisely calculated, does not predict the next period.
Frequently Asked Questions
CAGR is the single steady yearly growth rate that would carry a value from its starting point to its ending point over a set number of years. Money that grows from $10,000 to $20,000 in 5 years has a CAGR of 14.87%, even if the real path bounced around. It is a smoothed comparison rate, not a record of what happened in any single year.
ROI and total return ignore time: doubling your money is a 100% return whether it took 2 years or 20. CAGR puts the time back in. That same 100% return is a 14.87% CAGR over 5 years but only 4.73% over 15 years. Use total return to say how much you made, and CAGR to say how fast, per year, you made it.
Yes. The mode selector at the top solves four ways with the same compounding math: the growth rate from start, end and years; the final value from start, rate and years; the initial value needed to reach a target at a given rate; and the years needed for a start value to reach a target at a given rate. Most CAGR tools only do the first of those.
Yes. If the final value is lower than the initial value, the rate comes out negative. An investment that falls from $10,000 to $7,000 over 5 years has a CAGR of about -6.89% per year. The calculator handles losses exactly the same way as gains, and the year-by-year path slopes downward.
It is a mental shortcut: divide 72 by the annual growth rate to estimate how many years money takes to double. At a 14.87% CAGR the calculator reports 4.84 years, close to the exact compounding answer. The shortcut works best for rates roughly between 4% and 20%; outside that range it drifts.
No. Standard CAGR is nominal and endpoint-only: it sees the start value, the end value and the time between them, and nothing else. Inflation, taxes, fees, contributions and withdrawals along the way are all invisible to it. For money you added to over time, a money-weighted measure such as XIRR describes your personal result more honestly.
It depends entirely on what you are comparing against. Broad US stock index funds have delivered roughly 7 to 10% a year over long stretches, high-yield savings accounts sit nearer 4 to 5%, and a business or fund holding above 15% for a full decade is exceptional. Judge a CAGR against a relevant benchmark over the same period and against inflation, never against a round-number target.
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References
- Investor.gov (US Securities and Exchange Commission), “Compound Interest Calculator” – the official investor education tool built on the same compounding relationship CAGR reverses. Investor.gov: Compound Interest Calculator. Accessed October 2026.
- Corporate Finance Institute, “CAGR” – definition, formula and worked examples for compound annual growth rate in valuation practice. CFI: CAGR. Accessed October 2026.
- Investopedia, “Compound Annual Growth Rate (CAGR)” – reference treatment of the formula, its uses in fund reporting and its limits. Investopedia: CAGR. Accessed October 2026.
- US Bureau of Labor Statistics, “Consumer Price Index” – the inflation series used to convert a nominal CAGR into a real, inflation-adjusted growth rate. BLS: Consumer Price Index. Accessed October 2026.