Compound Annual Growth Rate (CAGR) Calculator

Compound Annual Growth Rate (CAGR) Calculator | Online Free Tool | Elysia Tools

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category: Finance
Input types: number
Output type: html
Sample coverage: 4
API ready: Yes

Overview

The Compound Annual Growth Rate (CAGR) Calculator helps you determine the annualized rate of return for an asset or business over a specified period. By inputting the beginning value, ending value, and the number of years, you can instantly calculate the CAGR, compare it to the simple average growth rate, and visualize the smoothed growth curve.

When to use

When evaluating the historical performance of an investment portfolio or mutual fund over multiple years.
When comparing the growth rates of different assets or business revenues that experience high volatility year-over-year.
When projecting future investment values or setting realistic long-term financial growth targets.

How it works

1Enter the initial investment amount in the Beginning Value field.
2Input the final investment amount in the Ending Value field and specify the duration in years.
3Adjust the decimal places for precision and click calculate to generate the CAGR percentage, a comparison with the simple average growth rate, and a visual growth curve.

Use cases

Analyzing the annualized return of a stock portfolio over a five-year period.
Comparing the revenue growth rates of two competing businesses over a decade.
Evaluating the performance of real estate investments from purchase to sale.

Examples

1. Evaluating a Stock Portfolio's 5-Year Performance

Retail Investor

Background

An investor bought a basket of stocks for $10,000 in 2019, and the portfolio value grew to $25,000 by 2024.

Problem

The investor wants to know the annualized return to compare it against the S&P 500 index benchmark.

How to use

Enter 10000 as the Beginning Value, 25000 as the Ending Value, and 5 as the Number of Years.

Outcome

The calculator displays a CAGR of 20.11%, showing that the portfolio outperformed a simple average growth rate calculation which ignores compounding.

2. Comparing Business Revenue Growth

Financial Analyst

Background

A startup's annual revenue increased from $50,000 to $450,000 over a span of 8 years.

Problem

The analyst needs to report the steady annualized growth rate to potential venture capital investors.

How to use

Input 50000 as the Beginning Value, 450000 as the Ending Value, and 8 as the Number of Years.

Outcome

The tool calculates a CAGR of 31.61%, providing a clear, annualized metric for investor presentations.

FAQ

What is the difference between CAGR and simple average growth rate?

CAGR accounts for the compounding effect over time, representing a smoothed annual growth rate, whereas the simple average growth rate merely divides the total growth by the number of years.

Can CAGR be negative?

Yes, if the ending value is lower than the beginning value, the CAGR will be negative, indicating a loss over the period.

Does CAGR account for volatility during the investment period?

No, CAGR calculates a smoothed rate of return and does not reflect year-to-year fluctuations or portfolio volatility.

How does the number of years affect the CAGR calculation?

The number of years acts as the exponent denominator in the formula; a longer period spreads the growth out, resulting in a lower annualized rate for the same total return.

Can I calculate CAGR for periods shorter than a year?

The standard CAGR formula is designed for annual periods, but you can input fractional years to get an annualized rate.

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Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Evaluating a Stock Portfolio's 5-Year Performance

2. Comparing Business Revenue Growth

FAQ

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