Average Rate of Return Calculator
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How to use the tool
- Type your total rate of return (%)
Example A: 25 Example B: 90 - Enter the number of years held
Example A: 3 Example B: 7 - Press “Calculate” to see the compound annual growth rate (CAGR) expressed as a percentage.
Formula used
The calculator applies
$$ \text{CAGR}= \left(1+\frac{\text{Total Return}}{100}\right)^{rac{1}{n}}-1 $$where n = years invested.
Worked examples
- Example A: 25 % over 3 years CAGR = (1 + 0.25)^{1⁄3} − 1 = 7.72 %.
- Example B: 90 % over 7 years CAGR = (1 + 0.90)^{1⁄7} − 1 = 9.60 %.
Quick-Facts
- Long-term S&P 500 CAGR: ≈ 10.1 % (S&P Dow Jones Indices, 2023).
- Global inflation-adjusted equity return: ≈ 5.3 % (Dimson et al., Credit Suisse Yearbook 2022).
- Median U.S. mutual-fund holding period: 5.5 years (ICI Fact Book 2023).
- IRR and CAGR converge when cash flows occur only at start/end (Damodaran, 2012).
- FINRA recommends using annualized returns for cross-fund comparisons (FINRA Investor Tips, 2021).
FAQ
What does the calculator measure?
It transforms a multi-year total return into a single annual growth rate, mirroring compound interest effects (Investopedia, CAGR).
Why not use a simple average of yearly returns?
Simple averages ignore compounding; CAGR reflects “the rate at which an investment would have grown if it had grown at a steady rate” (Morningstar Glossary).
Can CAGR be negative?
Yes. A loss of 30 % in value over 2 years yields a CAGR of −16.35 %, signalling annual shrinkage.
How accurate is CAGR for volatile assets?
CAGR smooths volatility; pair it with standard deviation to gauge risk (CFA Institute, 2020).
Does the formula include inflation?
No. Subtract the average inflation rate to obtain a real CAGR (Bureau of Labor Statistics, CPI Guide).
How long should I hold data to trust the result?
Finance scholars suggest at least one full market cycle—about 7–10 years—for meaningful CAGR comparisons (Campbell & Shiller, Yale Notes).
Is a higher CAGR always better?
Higher returns often carry higher volatility; compare Sharpe ratios to judge reward per unit of risk (Sharpe, 1966).
Can I project future returns using the output?
Use CAGR as a baseline, but stress-test plans with lower scenarios because “past performance does not guarantee future results” (SEC Investor.gov).
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