CAGR Calculator
Calculate Compound Annual Growth Rate (CAGR %), cumulative percentage growth, net dollar gains, and portfolio growth multipliers over any time horizon.
Calculate Compound Annual Growth Rate (CAGR)
Enter initial beginning value, final ending value, and time horizon in years.
CAGR Output Results
Quick Summary
Our CAGR calculator compound annual growth rate formula measures the geometric rate of return for investments, revenue, or portfolio assets over multiple years. By smoothing annual fluctuations into a single annualized growth percentage, this tool enables direct performance comparison across different asset classes and time horizons.
How It Works: Compound Annual Growth Rate (CAGR) Principles
In financial analysis, annual returns fluctuate—a stock might rise 30% in year one, drop 10% in year two, and rise 15% in year three.
1. **Geometric Smoothing:** CAGR calculates the steady annual compounding rate that connects the initial value to the final value ($CAGR = (Final / Initial)^{1/t} - 1$).
2. **Total Cumulative Growth:** Measures overall percentage gain across the entire timeframe.
3. **Capital Multiplier:** Ratio of final value divided by starting capital ($2.50x$ means capital grew by 150%).
Formula Explanation
Your Compound Annual Growth Rate ($CAGR$), total cumulative growth ($Growth$), and growth multiplier ($Multiplier$) are calculated as follows:
Step-by-Step Worked Example
Here is a detailed 5-step breakdown for a company expanding revenue from $10,000 to $25,000 over 5 years:
- Step 1 (Calculate Capital Growth Multiplier): Multiplier $= \\$25,000 / \$10,000 = \mathbf{2.50x}$.
- Step 2 (Calculate Cumulative Percentage Growth): $\\$25,000 - \$10,000 / \$10,000 \times 100\% = \mathbf{150.00\% \text{ Cumulative Growth}}$.
- Step 3 (Calculate Exponent [1/Years]): $\1 / 5 = 0.20$.
- Step 4 (Raise Multiplier to Exponent): $(2.50)^{0.20} = 1.20112$.
- Step 5 (Subtract 1 to Determine CAGR): $1.20112 - 1 = 0.20112 = \mathbf{20.11\% \text{ CAGR}}$ (growing steadily at 20.11% per year doubles capital every 3.6 years!).
Calculation Examples: Real-World Scenario Comparison
Compare CAGR percentages across corporate revenue and investment scenarios:
| Initial & Final Values | Time Horizon | Cumulative Growth | Net Dollar Gain | Compound Annual Growth Rate (CAGR) |
|---|---|---|---|---|
| $10,000 to $15,000 | 3 Years | 50.00% Growth | +$5,000.00 | 14.47% CAGR |
| $10,000 to $25,000 | 5 Years | 150.00% Growth | +$15,000.00 | 20.11% CAGR |
| $50,000 to $120,000 | 10 Years | 140.00% Growth | +$70,000.00 | 9.15% CAGR |
| $100,000 to $500,000 | 7 Years | 400.00% Growth | +$400,000.00 | 25.85% CAGR! |
Benefits of Using the CAGR Calculator
Utilizing this calculator provides essential financial analysis benefits:
- Eliminates Volatility Distortion: Converts irregular annual returns into a clean geometric mean growth rate.
- Facilitates Direct Competitor Comparison: Compares revenue growth between start-ups and established corporations regardless of company size.
- Informs Private Equity Valuations: Essential metric used by venture capitalists to evaluate SaaS MRR and ARR growth trajectories.
- Standardizes Investment Performance: Compares mutual funds, tech stocks, and physical real estate assets on equal footing.
Frequently Asked Questions (FAQ)
What is Compound Annual Growth Rate (CAGR)?
CAGR represents the constant annual growth rate required for an investment or revenue figure to grow from its beginning balance to its ending balance over a specified timeframe.
What is the formula for CAGR?
CAGR = (Final Value ÷ Initial Value)^(1 ÷ Years) - 1.
Why is CAGR better than simple average return?
Simple arithmetic average overstates growth when negative years occur. For example, +50% followed by -50% results in a -25% real loss, but arithmetic average claims 0%. CAGR accurately reflects the real loss.
Does CAGR account for periodic contributions or withdrawals?
No. Standard CAGR assumes a single initial lump sum. For investments with interim cash flows, Money-Weighted Return or IRR (Internal Rate of Return) is used.
What is a good CAGR for a business or stock portfolio?
For stocks, 10% CAGR is a solid benchmark (matching historical S&P 500 returns). High-growth tech companies often target 20% to 30%+ CAGR.
Can CAGR be calculated for fractional years?
Yes! You can enter fractional years (e.g., 2.5 years) into the formula.
What is negative CAGR?
If final value is lower than initial value, CAGR is negative, indicating an annualized rate of decline.
How does CAGR relate to the Rule of 72?
Dividing 72 by the CAGR percentage calculates the exact number of years required for the initial capital to double.
How is CAGR used in corporate financial reporting?
Corporations publish 3-year and 5-year CAGR metrics for revenue, EBITDA, and net income in quarterly SEC earnings reports.
Is CAGR affected by inflation?
Standard CAGR measures nominal growth. To calculate real CAGR, adjust beginning and ending values for CPI inflation before applying the formula.