CAGR Calculator (Compound Annual Growth Rate)
Calculate the Compound Annual Growth Rate (CAGR) of investments, portfolios, or business revenues with interactive schedules and charts.
Calculate the Compound Annual Growth Rate (CAGR), total percentage returns, net profits, and year-by-year investment growth schedules.
Enter values to compute CAGR and investment returns.
Cumulative gain over horizon
Final value - Initial value
Total Return / Years
Ending value
| Year | Starting Value | Annual Growth | Cumulative Gain | Ending Balance |
|---|---|---|---|---|
Formula Used
Where V_initial = starting value, V_final = ending value, and t = duration in years.
Step-by-Step Calculation Breakdown
What Is the CAGR Calculator (Compound Annual Growth Rate)?
The CAGR Calculator computes the Compound Annual Growth Rate — the smoothed annualized rate of return that an investment, asset, or revenue stream would have earned if it had grown at the same rate every year over a given time horizon.
Unlike simple average returns, CAGR accounts for the compounding effect and gives a single, comparable growth rate regardless of volatility between individual years. It is the standard metric used in earnings reports, mutual-fund prospectuses, and VC pitch decks.
The CAGR Formula
CAGR = (V_final / V_initial)^(1/t) - 1
where V_initial is the beginning value, V_final is the ending value, and t is the number of years. Multiply by 100 to express as a percentage.
When Should You Use CAGR?
- Comparing investment performance across different time periods or asset classes
- Projecting future portfolio values at a known historical growth rate
- Benchmarking revenue growth in business valuations and financial models
- Evaluating real-estate appreciation over a multi-year holding period
How to Use the CAGR Calculator (Compound Annual Growth Rate)
Enter your values into the input fields provided. The calculator accepts standard numerical input and will process your calculation immediately, displaying both the result and the steps used to arrive at it.
Worked Example: Calculating CAGR on a Stock Investment
Problem: You purchased shares worth $12,000 in January 2018. By December 2025 (8 years later), your portfolio is valued at $28,500. What is the CAGR?
1. Identify the Variables
Beginning Value (V₀) = $12,000. Ending Value (Vₙ) = $28,500. Time horizon (t) = 8 years.
2. Calculate the Value Ratio
Divide ending value by beginning value: $28,500 / $12,000 = 2.375.
3. Apply the CAGR Exponent
Raise the ratio to the power of (1/t): 2.375^(1/8) = 2.375^0.125 ≈ 1.1139.
4. Subtract 1 and Convert to Percentage
1.1139 − 1 = 0.1139 → multiply by 100 = 11.39% per year.
How to Calculate CAGR (Compound Annual Growth Rate) Step-by-Step
Understanding the underlying solution workflow helps build mathematical intuition:
Real-World Applications of CAGR Calculator (Compound Annual Growth Rate)
Investment Portfolio Benchmarking
Compare the annualized performance of stocks, bonds, mutual funds, and ETFs on an apples-to-apples basis, stripping out the noise of volatile individual-year returns.
Business Revenue Forecasting
CFOs and analysts use CAGR to model long-term revenue projections, set growth targets for quarterly earnings calls, and value startups during fundraising rounds.
Real-Estate Appreciation Analysis
Property investors compute CAGR to evaluate how much a home, commercial building, or REIT has appreciated annually, guiding buy-hold-sell decisions.
Common Pitfalls & Mistakes to Avoid
Ignoring Intermediate Cash Flows
CAGR only considers the starting and ending values — it cannot handle regular deposits, dividends, or withdrawals. Use IRR (Internal Rate of Return) for portfolios with periodic cash flows.
Confusing CAGR with Average Annual Return
Arithmetic average returns overstate performance when volatility is high. CAGR is a geometric mean — always lower and more accurate for compounded growth.
Using Inconsistent Time Periods
Ensure the starting and ending dates precisely match your intended holding period. A one-month miscounting error on a 3-year horizon can shift the CAGR significantly.
Key Terminology Glossary
Expert Tips for CAGR Calculator (Compound Annual Growth Rate)
- CAGR measures smoothed annual growth over time, smoothing out volatility and annual fluctuations.
- Always use consistent units for starting and ending values.
- CAGR does not account for intermediate cash inflows or outflows — use IRR for portfolios with regular cash flows.
About the CAGR Calculator (Compound Annual Growth Rate)
The CAGR Calculator (Compound Annual Growth Rate) is maintained by Basic Math Tools, an educational platform committed to providing accurate STEM and financial computing tools. Every tool processes calculations transparently in your browser for privacy and speed.
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