calculator cagr

What Is CAGR?

CAGR stands for Compound Annual Growth Rate. It tells you the smoothed yearly return that would take your beginning value to your ending value over a given number of years. Instead of showing a bumpy path with ups and downs, CAGR gives a single annualized rate.

Investors, business owners, and analysts use CAGR to compare performance across different assets, portfolios, or projects. It is especially helpful when the holding periods are different.

CAGR Formula

The formula used in this calculator is:

CAGR = (Ending Value / Beginning Value)^{1 / Years} − 1

• Beginning Value: Initial investment or starting amount
• Ending Value: Final amount after growth
• Years: Time period in years (can be decimals, like 3.5)

Example Calculation

Suppose you invested $10,000 and it grew to $18,500 over 5 years.

• Beginning Value = 10,000
• Ending Value = 18,500
• Years = 5

CAGR = (18,500 / 10,000)^1/5 − 1 ≈ 0.1312, or 13.12% per year.

Why CAGR Is Useful

1) Easy apples-to-apples comparisons

If one investment was held for 3 years and another for 8 years, raw total return is not enough. CAGR makes comparisons more meaningful by putting both on an annual basis.

2) Better than simple average returns

A simple average of annual returns can be misleading because volatility matters. CAGR respects the compounding process and gives a more realistic annualized growth figure.

3) Great for planning goals

Want to know how fast your portfolio must grow to reach a target? CAGR gives you a clear benchmark to track progress and set expectations.

Important Limitations of CAGR

• It smooths volatility: Real-world returns are rarely this steady.
• No cash flow handling: CAGR does not account for deposits/withdrawals between start and end.
• No risk context: Two assets can have identical CAGR but very different risk.

If you make regular contributions, consider metrics like money-weighted return (IRR/XIRR) or time-weighted return depending on your use case.

Nominal CAGR vs Real CAGR

Nominal CAGR ignores inflation. Real CAGR adjusts for inflation to estimate your true purchasing-power growth. This calculator can optionally estimate real CAGR using:

Real CAGR ≈ (1 + Nominal CAGR) / (1 + Inflation Rate) − 1

If inflation is high, your real growth may be much lower than your nominal headline return.

Tips for Better Use

• Use accurate start/end values (including fees, if possible).
• Use precise holding period years (e.g., 2.75 instead of 3).
• Compare CAGR alongside volatility and drawdowns.
• Evaluate real CAGR for long-term financial planning.

Quick FAQ

Is CAGR the same as average annual return?

No. CAGR is compounded and geometric; average annual return is arithmetic.

Can CAGR be negative?

Yes. If ending value is below beginning value, CAGR will be negative.

Can I use months instead of years?

Yes—convert months to years (for example, 18 months = 1.5 years) and enter that value in the Years field.