CAGR Calculator

Calculate the Compound Annual Growth Rate of an investment.

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How it works (Formula)
CAGR = (End Value / Start Value)^(1/Years) - 1
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What Is the CAGR Calculator?

The CAGR (Compound Annual Growth Rate) Calculator is a sophisticated financial tool used to measure the mean annual growth rate of an investment over a specific period longer than one year. Unlike a simple average return, which can be distorted by one "lucky" year, CAGR "smooths" out volatility to show you the steady growth rate that would have been required to get from your starting balance to your ending balance.

What makes the Nuumra version better is our "Volatility Comparison." We don't just give you a percentage; we help you understand the difference between your absolute total return and your geometric annual growth, providing a realistic view of your investment's true performance.

How to Use the CAGR Calculator

  1. Beginning Value — Enter the initial price or account balance.
  2. Ending Value — Enter the current market value or final balance.
  3. Number of Years — Enter the total duration of the investment.
  4. Calculate — Press the button to see your annualized growth rate.

How the CAGR Formula Works

The calculator solves for the geometric mean of growth:

CAGR = [(Ending Value / Beginning Value)^(1/t) − 1] × 100

Where t is the number of years. This formula is critical because it accounts for the compounding effect—meaning it assumes that any "gains" in Year 1 remained invested to generate more gains in Year 2.

Example: An investment that grows from $10,000 to $25,000 over 5 years has an absolute return of 150%, but a CAGR of 20.11%.

Understanding Your Growth Results

Once you hit Calculate, here is what each result means:

  • Absolute Total Return — The simple percentage gain from start to finish, ignoring the time factor.
  • Compound Annual Growth Rate — The "smoothed" yearly growth rate. This is the number you should use when comparing individual stocks to the S&P 500.
  • Analysis Hint — A summary of why CAGR is a more accurate representation of long-term wealth building than simple average returns.
  • Benchmark Against the Index — A CAGR of 12% is great. A CAGR of 12% in a year when the market did 20% is underwhelming. Always compare your CAGR to a relevant benchmark (like the S&P 500 or NASDAQ).
  • The Rule of 72 — Use your CAGR to see how fast you are doubling your money. Divide 72 by your CAGR. If your CAGR is 10%, your money doubles every 7.2 years.
  • Beware of Outliers — CAGR is sensitive to the start and end dates. If you started your measurement at the absolute bottom of a crash and ended at a peak, your CAGR will be artificially high.
  • Business Revenue — CAGR is the gold standard for measuring business growth. Using CAGR for revenue growth over 3-5 years is much more professional than showing volatile Year-over-Year (YoY) jumps.

Frequently Asked Questions

Why use CAGR instead of Average Return?
CAGR is more accurate. If a stock goes up 100% then down 50%, your "average" return is 25%, but you have $0 profit. CAGR correctly shows this as a 0% return.
What is a "Good" CAGR?
For long-term stock investing, a CAGR of 8-10% is the historical standard. For a high-growth startup, investors often expect a CAGR of 30-50%+.
Does CAGR include dividends?
That depends on your "Ending Value" input. If you reinvested dividends and they are part of your final balance, then yes, CAGR accounts for them.
Can CAGR be negative?
Yes. If your Ending Value is less than your Beginning Value, you will have a negative CAGR, indicating an annualized loss.
Is CAGR the same as IRR?
Similar, but IRR (Internal Rate of Return) can handle multiple cash "ins and outs" over time. CAGR only looks at a single starting and ending point.
Does CAGR predict future performance?
No. CAGR is a historical "back-looking" metric. While it helps you understand how an asset performed in the past, it does not guarantee future results.
What is a "Smoothing" effect?
"Smoothing" means CAGR ignores the "ups and downs" in the middle of the term and tells you what steady path would have reached the same destination.

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