Financial Tool

Compound Annual Growth Rate (CAGR)

Measure the geometric progression ratio that provides a constant rate of return over a time period.

Σ The Formula

CAGR = [(EV / BV)^(1/n)] - 1

Real World Examples

Investment Growh
$10,000 to $16,000 over 5 years → 9.86% CAGR
Real Estate
$300k to $450k over 10 years → 4.14% CAGR

# About This Calculator

The Compound Annual Growth Rate (CAGR) is one of the most accurate ways to calculate and determine returns for anything that can rise or fall in value over time.

Investors use CAGR to compare two alternative investments. For example, if one investment returned 10% then -5% then 20%, its average return is deceiving. The CAGR provides a "smoothed" annual rate that represents what the investment would have returned if it grew at a steady rate each year.

Note: CAGR does not reflect investment risk; it only measures the smoothed historical or projected return.

How To Use

  1. Enter the **Beginning Value** (Starting investment).
  2. Enter the **Ending Value** (Current or target value).
  3. Enter the **Number of Years** (The time elapsed).
  4. The result is the annual growth rate required to reach that end value.

Frequently Asked Questions

How is CAGR different from Average Return?+

Average return (arithmetic mean) ignores the effects of compounding. CAGR (geometric mean) accounts for the fact that gains or losses in one year change the base for the next year.

Can CAGR be negative?+

Yes. If the Ending Value is lower than the Beginning Value, the CAGR will be a negative percentage, indicating an annual loss.

Is Compound Annual Growth Rate (CAGR) free to use?+

Yes, Compound Annual Growth Rate (CAGR) on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Compound Annual Growth Rate (CAGR)?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Compound Annual Growth Rate (CAGR) are accurate for academic and professional use.

Can I use Compound Annual Growth Rate (CAGR) on my phone?+

Yes! Compound Annual Growth Rate (CAGR) is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

The Compound Annual Growth Rate (CAGR) is one of the most accurate ways to calculate and determine returns for anything that can rise or fall in value over time.

Investors use CAGR to compare two alternative investments. For example, if one investment returned 10% then -5% then 20%, its average return is deceiving. The CAGR provides a "smoothed" annual rate that represents what the investment would have returned if it grew at a steady rate each year.

Note: CAGR does not reflect investment risk; it only measures the smoothed historical or projected return.

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