Compound Annual Growth Rate (CAGR
### Corporate Finance & Portfolio Analysis: Why CAGR is Superior to Simple Averages Simple arithmetic average return (summing annual returns and dividing by years) gives a misleadingly inflated.
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📐 Formula
💡 Practical Example
For example, a business growing revenue from $15,000 to $38,000 over 5.0 years: Total absolute return is \. Compounded Annual Growth Rate (CAGR) is \^{1/5} - 1\right] = \mathbf{+20.43\%\text{ per year}}\). At this pace, revenue doubles every ~3.5 years (Rule of 72), and projecting another 5 years forward yields $96,267.00.
📖 About Compound Annual Growth Rate (CAGR
Corporate Finance & Portfolio Analysis: Why CAGR is Superior to Simple Averages
Simple arithmetic average return (summing annual returns and dividing by years) gives a misleadingly inflated picture of performance because it ignores the mathematical drag of volatility.
Arithmetic vs. Geometric Mean Example
- If your portfolio gains +100% in Year 1 (10,000 to 20,000) and loses -50% in Year 2 (20,000 back to 10,000):
- Arithmetic Average: (100\% - 50\%) / 2 = +25.0\% (misleading, you made zero dollars!).
- True CAGR: \^1/2 - 1] = 0.00\% (accurate reflection of wealth preservation).
How to Use This Calculator
Enter your Initial / Beginning Value () (e.g. 15000 (Starting investment, revenue, or portfolio)), Final / Ending Value () (e.g. 38000), Time Period (Years) (e.g. 5.0), and Future Extrapolation Projection Period (Years) (e.g. 5.0 (Project value forward at same CAGR)). Results update instantly as you type — no submit button or page reload required. Adjust any value to compare scenarios side by side.
The Formula
Compound Annual Growth Rate (CAGR) & geometric progression formulas: = [((Ending Value) / (Beginning Value))^(1) / (t_years) - 1] × 100\% Absolute Return (\%) = ((Ending Value - Beginning Value) / (Beginning Value)) × 100\% of 72 Doubling Time (Years) = (72) / (CAGR (\%)) Value Projection = Ending Value × (1 + CAGR)^t_future on Invested Capital (MOIC) = (Ending Value) / (Beginning Value)
Worked Example
For example, a business growing revenue from 15,000 to 38,000 over 5.0 years: Total absolute return is . Compounded Annual Growth Rate (CAGR) is \^1/5 - 1] = +20.43\% per year. At this pace, revenue doubles every ~3.5 years (Rule of 72), and projecting another 5 years forward yields 96,267.00.
Understanding Your Result
Evaluate your result against the specific financial decision driving this calculation. Small input differences can create large output swings — run two or three scenarios (conservative, base, optimistic) to understand the range of outcomes. For decisions involving more than a month's income, validate your result against a second source or consult a certified financial planner (CFP) or CPA depending on the tax implications.
💡 Financial Planning: Expert Principles & Risk Awareness
- All calculations assume fixed rates and idealized conditions. Real-world results vary due to market volatility, inflation, fees, and taxes.
- The Consumer Financial Protection Bureau (CFPB) recommends consulting a certified financial planner (CFP) for decisions involving significant sums.
- Run at least three scenarios: optimistic, pessimistic, and most-likely — to understand the full range of potential outcomes before committing.
- Inflation averages 2–3% annually in the US (Federal Reserve target). Long-term projections that ignore inflation significantly overstate future purchasing power.
- Tax treatment varies widely by account type (IRA, 401k, brokerage), jurisdiction, and income level. Verify tax implications with a CPA before acting.
- Compound interest works for you in savings/investments and against you in debt. The difference of even 1% in rate, sustained over decades, is enormous.
- Emergency funds (3–6 months of expenses) should be established before optimizing for returns — financial security precedes financial growth.
- Financial projections older than 12 months should be recalculated. Interest rates, tax brackets, and market conditions shift materially year to year.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.