Return Metrics Calculator
Compute CAGR, effective annual rate (APY), and Rule of 72 estimates for investment and savings scenarios.
Return metric
CAGR
$50,000 ā $120,000 over 7 years
CAGR
$50,000 ā $120,000 over 7 years
CAGR
13.32%
How it works
Return metrics translate growth into comparable rates. CAGR (compound annual growth rate) answers: āWhat steady annual rate would turn my start value into my end value over this many years?ā
Effective annual rate (APY-style) converts a nominal rate with a compounding frequency into a true yearly yield, which helps when comparing accounts that compound monthly vs annually.
The Rule of 72 is a quick mental shortcut: divide 72 by an annual percent return to estimate years to double. It is approximate and works best for everyday mid-single-digit to low-double-digit rates.
Use these tools when you already have start/end values or a stated rate and want a clean comparisonānot as a stock-picking signal.
For full accumulation with contributions, switch to the Investment Calculator. For savings-rate retirement timing, use Early Retirement.
Frequently asked questions
- When should I use CAGR instead of average return?
- CAGR describes the smoothed annual rate that connects a start value to an end value. It is often more useful than an arithmetic average of volatile yearly returns when you care about multiperiod growth.
- Is APY the same as APR?
- Not always. APR is a nominal quoted rate; APY/effective annual yield includes compounding. This tool focuses on effective annual conversion from a nominal rate and frequency.
- How accurate is the Rule of 72?
- It is a rule of thumb. It is handy for quick estimates and teaching, but CAGR math is better when you need precision.
- Can CAGR be negative?
- Yes. If the end value is below the start value, the implied annual rate is negativeāthe annualized rate of decline over the period.
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