What is CAGR and why does it matter?
CAGR stands for compound annual growth rate. It is the single constant yearly rate that, when compounded over your holding period, produces your actual starting-to-ending return. Think of it as the “smoothed” annual rate — CAGR irons out the volatility of individual years into one number you can compare against any other investment.
The formula is CAGR = (End / Start)^(1 / Years) − 1. Plug in your numbers above and the calculator returns the annualized rate instantly alongside your total ROI and net gain.
CAGR is the standard metric used in fund fact sheets, earnings releases, and investor presentations precisely because it enables apples-to-apples comparison. A fund that returned 100% over 5 years (14.87% CAGR) is clearly better than one that returned 100% over 10 years (7.18% CAGR) — but you can only see that when you annualize.
CAGR vs average annual return: the critical difference
These two numbers sound similar but can diverge dramatically. The average annual return (arithmetic mean) sums each year’s return and divides — it ignores compounding. The CAGR (geometric mean) is the rate that actually compounds to your real result.
Here is why it matters: suppose an investment gains 100% in year one, then loses 50% in year two. The arithmetic average is +25%. But the CAGR is 0% — because after a 100% gain and a 50% loss, you are exactly back where you started. The average annual return overstated your performance by 25 percentage points.
Mutual funds sometimes advertise the higher arithmetic average in marketing materials. Always check the CAGR (often labeled “annualized return” in fund documents) for an accurate picture of what you would have actually earned.
When CAGR is not the right tool
CAGR works perfectly for a lump sum held for a period with no additions or withdrawals. The moment you start adding money at different times — a monthly brokerage contribution, say — the timing of those deposits affects your personal return. CAGR cannot capture that.
For ongoing contribution programs, the correct measure is the money-weighted return (IRR), which gives more weight to periods when you had more money invested. The calculator above switches to IRR automatically when you enter a monthly contribution amount. The IRR is also what GIPS-compliant investment managers report for client portfolios.
For projecting future growth at an assumed CAGR, switch to Mode B (“What will it grow to?”) or use the full-featured Compound Interest Calculator, which adds an inflation toggle, rate-variance band, and year-by-year breakdown.
The Rule of 72 and CAGR benchmarks
A quick way to use your CAGR: divide 72 by it to get the approximate number of years for your money to double. At 6% CAGR, money doubles every 12 years. At 10%, every 7.2 years. At 12%, every 6 years.
Common CAGR benchmarks to compare against:
- U.S. broad market index (S&P 500): ~10% nominal, ~7% real
- U.S. bonds (10-year Treasury): ~3–5% depending on period
- High-yield savings / money market: 3–5% in current environment
- Real estate (price appreciation only): ~4–5% historically
- Inflation (CPI): ~3% long-run average
Any investment with a CAGR below inflation is losing real value, even if the nominal balance grows. The S&P 500 return calculator shows you both the nominal and real CAGR side by side for any time horizon.
Compound growth rate: same idea, different name
You will often see “compound growth rate” in business contexts — revenue growth decks, SaaS metrics, market-size projections — while “CAGR” dominates investment reporting. They are the same number produced by the same formula. A company that grew revenue from $2 million to $6.5 million over four years has a compound growth rate (CAGR) of approximately 34.3% per year.
The key word in both terms is compound: each year’s growth builds on the prior year’s cumulative base, not on the original starting value. That is what separates compound growth from simple annual growth, which applies the same dollar increment (not the same percentage) every year and therefore understates how quickly exponential processes accelerate.
Whether you are sizing a market, benchmarking a portfolio, or modeling a savings plan, the calculator above handles all three uses. Enter any starting and ending values with a time period and it returns the compound growth rate (CAGR) instantly.
Frequently asked questions
How do you calculate CAGR?
CAGR = (Ending Value / Beginning Value)^(1 / Number of Years) − 1. For example, if an investment grew from $10,000 to $18,000 over 5 years, CAGR = (18,000 / 10,000)^(1/5) − 1 = 1.8^0.2 − 1 ≈ 12.47% per year. The calculator above does this instantly and also shows the total ROI percentage alongside.
What is a good CAGR?
The U.S. broad stock market has delivered roughly 10% CAGR in nominal terms over long periods. For a single stock, fund, or business, what counts as "good" depends on the risk taken and the alternatives available. A 15–20% CAGR from a diversified portfolio over 10+ years would be considered exceptional. For a savings account or bond ladder, 3–5% is realistic and fine given the lower risk.
What is the difference between CAGR and average annual return?
The average annual return simply sums each year's return and divides by the number of years — it ignores compounding. CAGR is the geometric mean: the single constant rate that produces the actual end result when compounded year over year. If an investment gained 50% one year then lost 33% the next, the average is +8.5% but the CAGR is 0% — because you are back where you started. CAGR is always the more accurate measure.
What does a 10% CAGR mean?
A 10% CAGR means your investment grew at the equivalent of 10% per year, compounded annually, over the full holding period. At 10% CAGR, money roughly doubles every 7.2 years (Rule of 72). A $10,000 investment at 10% CAGR over 30 years would grow to about $174,494.
When should I use CAGR vs IRR (money-weighted return)?
Use CAGR for lump-sum investments where no money was added or withdrawn during the holding period. Use IRR (money-weighted return) when you made contributions at different times — such as monthly investing into a brokerage account. IRR accounts for the size and timing of each cash flow, making it more accurate for ongoing investment programs. The calculator switches to IRR automatically when you enter monthly contributions.
Is CAGR the same as compound growth rate?
Yes — compound growth rate and CAGR are the same concept, just different names. Both describe the single constant annual rate that, when compounded over a period, transforms the starting value into the ending value. Finance professionals typically say CAGR; business and sales teams often say compound growth rate or compound annual growth rate interchangeably. The formula is identical: (End / Start)^(1 / Years) − 1.
Worked examples
Each result is computed by the same engine that powers the calculator. Return assumptions are historical averages or user-supplied planning figures — not predictions.
Real estate purchase, 7-year hold
Home purchased at $320,000, sold at $498,000 after 7 years (price appreciation only, excluding rental income or costs).
- Starting value
- $320,000
- Ending value
- $498,000
- Holding period
- 7 yrs
- Total ROI
- 55.6%
A 55.6% total gain over 7 years is 6.52% CAGR — close to long-run real estate price appreciation averages. Add rental yield on top and total-return CAGR would be materially higher, but this calculator measures the price-appreciation component only.
Tech stock held 3 years
$4,500 in a single technology stock, ending at $11,200 three years later.
- Starting value
- $4,500
- Ending value
- $11,200
- Holding period
- 3 yrs
- Total ROI
- 148.9%
A 149% total return over 3 years annualizes to 35.6% CAGR — eye-catching, but carrying a level of volatility and concentration risk that broad index funds do not. CAGR smooths the bumpy actual path; the real three-year experience may have included drawdowns of 40-50% in between.
Target-date retirement fund, 15 years
$45,000 initial investment in a target-date fund, grown to $128,000 over 15 years with no additional deposits.
- Starting value
- $45,000
- Ending value
- $128,000
- Holding period
- 15 yrs
- Total ROI
- 184.4%
A 184% total gain over 15 years works out to 7.25% CAGR — close to the long-run real return of a globally diversified equity portfolio. This is within a reasonable range for a target-date fund that gradually shifted to bonds as the time horizon shortened.
CAGR by total return × years held
Annualized rate for each total gain (rows) at each holding period (columns). Reveals how dramatically the "same" total gain represents different performance depending on how long it took.
| Total return | 1 yr | 2 yr | 5 yr | 10 yr | 15 yr | 20 yr |
|---|---|---|---|---|---|---|
| +10% total | 10.00% | 4.88% | 1.92% | 0.96% | 0.64% | 0.48% |
| +25% total | 25.00% | 11.80% | 4.56% | 2.26% | 1.50% | 1.12% |
| +50% total | 50.00% | 22.47% | 8.45% | 4.14% | 2.74% | 2.05% |
| +100% total | 100.00% | 41.42% | 14.87% | 7.18% | 4.73% | 3.53% |
| +200% total | 200.00% | 73.21% | 24.57% | 11.61% | 7.60% | 5.65% |
| +500% total | 500.00% | 144.95% | 43.10% | 19.62% | 12.69% | 9.37% |
| +1000% total | 1000.00% | 231.66% | 61.54% | 27.10% | 17.33% | 12.74% |
CAGR formula: (End/Start)^(1/Years) − 1, where End/Start = 1 + total return decimal. A 100% total gain (2× money) over 20 years is only 3.53% CAGR — less than a long-term TIPS bond.
What affects your results
These inputs move the needle most — ranked by their leverage on the final outcome. All rate inputs are user-supplied; this calculator does not access live market data.
This is the largest lever in CAGR calculation because of the exponent. Moving from 5 years to 10 years — same total gain — cuts the annualized rate roughly in half. Conversely, cutting the holding period by even 6 months on a short-duration investment can dramatically lift the stated CAGR.
The ratio of ending to starting value feeds directly into the CAGR exponent. A 10% total gain over 1 year is a 10% CAGR; the same 10% over 10 years is only 0.96% — barely above zero in real terms. The total gain and the time period interact exponentially, not linearly.
If your investment paid dividends or interest that you spent rather than reinvested, your ending value is lower than the total-return benchmark — and your measured CAGR understates the investment's underlying performance. Use the total-return ending value (what your brokerage account actually shows) when calculating CAGR.
Common mistakes to avoid
- ✕
Confusing CAGR with the actual year-by-year return. CAGR is a smoothed average — if a stock returned +50% one year and −25% the next, the CAGR over two years is still a modest 6.07%. The actual experience was a roller coaster; CAGR describes the net destination, not the journey.
- ✕
Using CAGR to compare investments in different risk categories without adjusting for volatility. A 12% CAGR in a small-cap growth fund is not the same as a 12% CAGR in a diversified bond-equity blend — the first involves far greater downside swings.
- ✕
Applying CAGR to future projections. CAGR measures a period that already happened. Using a past CAGR as a guarantee of future performance is a common marketing misuse. For forward projection, use Mode B (with a return assumption clearly labelled as a planning proxy).
Key takeaways
- ✓
Always cite CAGR alongside the holding period. "Our fund returned 15% CAGR over 7 years" gives the full picture; "15% return" without a time frame is meaningless.
- ✓
Use CAGR as the common denominator when comparing across time periods. A savings account earning 4% APY for 3 years vs. an equity fund earning 45% total over 3 years: the equity fund's CAGR is 13.2% — a fair comparison on the same annualized axis.
- ✓
If your portfolio had cash flows in or out, CAGR is not the right tool — use money-weighted return (IRR). CAGR applies cleanly only to a single lump sum with no mid-period contributions or withdrawals.
More questions answered
What is CAGR and how is it calculated?
CAGR (compound annual growth rate) is the constant annual rate that would grow your starting value to your ending value over the same holding period. Formula: CAGR = (Ending Value / Starting Value)^(1 / Years) − 1. A portfolio growing from $10,000 to $22,000 over 8 years has a CAGR of (22,000/10,000)^(1/8) − 1 = 10.36% per year.
What is a good CAGR for an investment?
Context determines what's "good." The S&P 500 has averaged ~10% CAGR nominally over long periods. Investment-grade bonds have averaged ~4–5%. Real estate price appreciation averages ~4–7% depending on market and period. A CAGR that exceeds the appropriate benchmark for the same risk level is a good result; chasing high CAGR without accounting for risk leads to undiversified concentration.
What is the difference between CAGR and average annual return?
Arithmetic average annual return is the simple mean of year-by-year returns. CAGR (geometric average) is what you actually earned on your dollars. If an investment returned +100% in year 1 then −50% in year 2, the arithmetic average is +25%, but the CAGR is 0% — your $10,000 grew to $20,000 then fell back to $10,000. CAGR is the honest measure of what a buy-and-hold investor actually received.
Does CAGR account for inflation?
Standard CAGR uses nominal values (before inflation). To get a real CAGR, subtract inflation: roughly (1 + nominal CAGR) / (1 + inflation rate) − 1. At 7% nominal CAGR and 3% inflation, real CAGR ≈ 3.88%. For long-horizon planning, the real CAGR shows whether your wealth is genuinely growing in purchasing power or merely keeping up with rising prices.