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⚡ Quick answer

To calculate CAGR, use the formula: CAGR = (End ÷ Start)^(1/n) − 1, where n is the number of years.

CAGR

Compound annual growth rate between a starting and ending value over n years.

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📖 What it is

The CAGR, or Compound Annual Growth Rate, represents the average annual growth rate of an investment over a specified period, accounting for compounding. By using the CAGR calculator, you can easily assess the growth trajectory of your investment from a starting value to an ending value over a defined number of years.

To utilize this tool, you will need to input the starting value of your investment, the final value after the investment period, and the number of years the investment has been held. The output will give you the CAGR, expressing the annual growth rate as a percentage.

It's important to note that CAGR assumes a steady growth rate, which may not always reflect real-world volatility. Additionally, ensure that the starting value is not zero, and be careful not to use months instead of years for the duration.

How to use

  1. Identify the starting value of your investment.
  2. Determine the ending value of your investment.
  3. Count the number of years the investment was held.
  4. Plug these values into the CAGR formula.
  5. Calculate the result to find the CAGR.

📐 Formulas

  • CAGR Formula—CAGR = (End ÷ Start)^(1/n) − 1
  • Growth Factor—Growth Factor = End ÷ Start
  • Annual Growth Rate—Annual Growth Rate = CAGR × 100

💡 Example

Start $1M, end $1.5M over 3 years →

CAGR = (1.5M ÷ 1M)^(1/3) − 1 ≈ 0.1447 →

CAGR ≈ 14.47%

Real-life examples

  • Investment Growth Example

    Starting with $1M and ending with $1.5M over 3 years results in a CAGR of approximately 14.47%.

  • Savings Account Example

    If you invest $5,000 that grows to $6,500 over 5 years, the CAGR is about 5.66%.

Scenario comparison

  • Investment A—Investing $10,000 at a 10% annual return for 5 years results in $16,105, CAGR = 10%.
  • Investment B—Investing $10,000 at a 5% annual return for 5 years results in $12,762, CAGR = 5%.

Common use cases

  • Assessing long-term investment growth.
  • Evaluating performance of mutual funds.
  • Comparing returns from different investment options.
  • Forecasting financial goals based on past growth.
  • Calculating retirement account growth over time.

How it works

The Compound Annual Growth Rate (CAGR) calculation provides a smoothed annual rate of growth, allowing you to visualize the investment's performance over time. It effectively eliminates the effects of volatility, giving a clearer picture of potential growth.

What it checks

This tool checks the compound annual growth rate between a starting and ending value over a specified number of years.

Signals & criteria

  • Start
  • End
  • Years

Typical errors to avoid

  • Using months without converting n.
  • Start=0.
  • One-off spikes in end value.

Decision guidance

Low: A low CAGR suggests minimal growth which may require reevaluation of the investment strategy.
Medium: A medium CAGR indicates reasonable growth, suggesting that the investment is performing adequately.
High: A high CAGR reflects strong performance, indicating a potentially lucrative investment opportunity.

Trust workflow

Recommended steps after getting a result:

  1. Ensure accurate input values for Start, End, and Years.
  2. Double-check calculations for consistency with expected growth patterns.
  3. Consult financial advisors if the results contradict market conditions.

FAQ

FAQ

  • IRR vs CAGR?

    IRR handles intermediate cash flows; CAGR is two-point smoothing.

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