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CAGR Calculator

CAGR expresses total growth as a single smoothed annual rate, ignoring the bumpy path in between.

Calculated Result
14.87%%

CAGR

Total Growth

100%

Growth Multiple

2×

CAGR

14.87%

14.87% — Compound annual growth rate

Calculation Breakdown

  1. FormulaCAGR = (Ending / Beginning)^(1/years) − 1CAGR = \left(\frac{EV}{BV}\right)^{\frac{1}{n}} - 1

What Is the CAGR Calculator?

CAGR is the compound annual growth rate of a value over a period.

How Does the CAGR Calculator Work?

It takes the ratio of ending to beginning value, raises it to the power of one over the years, and subtracts one.

CAGR Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

CAGR=(EVBV)1n−1CAGR = \left(\frac{EV}{BV}\right)^{\frac{1}{n}} - 1

CAGR is the geometric mean growth rate that turns the beginning value into the ending value.

How to Use the CAGR Calculator

  1. Enter the beginning value, ending value and the number of years.

Step-by-Step Example Calculation

$10,000 growing to $20,000 in 5 years

Input Values:

beginningValue:10000
endingValue:20000
years:5
Worked Steps: Doubling in five years equals roughly 14.9% CAGR.

Understanding Your Result

The result is the equivalent steady annual growth rate.

Factors That Affect the Result

  • Only the endpoints and the elapsed time matter.

When Should You Use This Calculator?

  • Use it to compare investments held for different lengths of time.

Assumptions & Limitations

  • It ignores intermediate volatility and any cash flows.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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