CAGR Calculator

CAGR (compound annual growth rate) smooths uneven year-over-year growth into one annualized percent—use beginning value, ending value, and the number of years.

CAGR = (end ÷ start)^(1 ÷ years) − 1, shown as a percent.

Tip: Keep “Beginning Value” and “Ending Value” on the same basis (units, period, and definition) before you calculate.

Cluster: Advanced calculators hub · Complete percentage guide

Smooth annualized return between two balances. CAGR answers: “What steady yearly rate would take me from beginning value to ending value over N years?” It is the standard headline for mutual funds and portfolios when cash flows in the middle are ignored or small.

Contrast with growth rate , which does not annualize the path the same way, and with investment growth , which explicitly adds periodic contributions. For a single-period ROI fraction, use ROI .

Enter beginning value, ending value, and years below. For economy-wide purchasing power, see inflation .

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CAGR

How we calculate. CAGR = (end ÷ start)^(1 ÷ years) − 1, shown as a percent. See our methodology and accuracy policy .

CAGR: The Smoothed Reality

CAGR represents the constant rate of return that would take an investment from its beginning value to its ending value over a specified period. Unlike simple averages, CAGR smooths out volatility to show what your investment actually achieved.

Why Simple Averages Mislead

  • Example: If you gain 100% one year and lose 50% the next, your simple average is +25%.
  • Reality: You started with $100, grew to $200, then dropped to $100. Your actual gain is 0%.
  • CAGR tells the truth: It correctly shows 0% annual growth in this scenario.

CAGR Investment Benchmarks

S&P 500 historical CAGR: ~10% over the long term. Real estate: 3-5% (price appreciation). Emerging markets can show 15%+ but with higher volatility. When evaluating investments, compare CAGR over similar time periods - a 5-year CAGR is more reliable than a 1-year figure.

Understanding CAGR

Real-world scenario: An investor checked a portfolio that grew from $50,000 to $72,000 over 5 years and used CAGR here so the annualized return matched the statement language—not a simple average of yearly swings.

What is CAGR?

Compound Annual Growth Rate (CAGR) measures the average annual growth rate of an investment over a period longer than one year. It smooths out volatility to show steady growth.

  • Shows the "smoothed" rate of return
  • Useful for comparing investments with different time periods
  • Does NOT reflect actual year-by-year performance

The Formula

CAGR Calculation
CAGR = (End Value / Start Value)^(1/Years) - 1

Worked Example

Scenario: Investment grew from $10,000 to $19,500 over 5 years.
Step 1: End/Start = 19500/10000 = 1.95
Step 2: 1.95^(1/5) = 1.95^0.2 = 1.143
Step 3: 1.143 - 1 = 0.143 = 14.3%
Answer: 51.3% (part ÷ whole × 100; verified with this calculator).

Common Use Cases

  • Investments: Compare mutual funds, stocks
  • Business: Revenue growth over years
  • Real estate: Property value appreciation

Pro Tips

  • CAGR hides volatility: A stock can crash and recover
  • Use for long periods: Best for 3+ year comparisons
  • Compare apples to apples: Same time periods only

Common mistakes

  • Mixing years and compounding periods: CAGR needs the true number of years between beginning and ending values—not the count of deposits.
  • Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
  • Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

Limitations: cagr calculator results are estimates for learning and quick checks—not financial, legal, tax, or medical advice. Policies, grading scales, and local rules may differ; confirm outcomes with official sources before making decisions.

When to use this calculator

  • Use this page when you need a smoothed annual growth rate between a start and end value.
  • Use growth rate for period growth with an optional period count.
  • Use percent change for a single old→new relative change (not annualized).

Still unsure about cagr? Start with the quick answer above, then open the linked calculator that matches your wording.

Comparison: when to use each method

Use this table to pick the right percent workflow before you calculate.

ScenarioWhen to use
Percent of a numberFinding a part of a whole (tax, tip, score)
Percent changeComparing old vs new values

Frequently Asked Questions

What does CAGR tell an investor?

CAGR provides a smoothed annual rate of return, making it easier to compare the performance of different investments over time, ignoring short-term volatility.

How is CAGR different from average annual return?

Average return is just the mean of yearly gains. CAGR accounts for compounding, which is more accurate for long-term growth.

Is CAGR a good predictor of future growth?

No. CAGR describes historical growth. It doesn't guarantee that the investment will continue to grow at that rate in the future.

Growth & investment rates guides

Concept-first articles that complement the calculators on this page:

🔍 Authoritative References

For more information about advanced financial calculations, consult these trusted sources: