How to Calculate Negative Cagr in Excel

What is CAGR?

CAGR stands for Compound Annual Growth Rate. It's a financial metric that calculates the mean annual growth rate of an investment over a specified period longer than one year. CAGR is particularly useful for comparing the growth of investments with different initial values or investment periods.

The formula for CAGR is:

CAGR is expressed as a percentage and represents the average annual growth rate over the entire period.

What is Negative CAGR?

Negative CAGR occurs when the ending value of an investment is less than the beginning value. This indicates a decline in the investment's value over time. Negative CAGR is common in economic downturns, market crashes, or when an investment strategy is not performing as expected.

For example, if an investment starts at $10,000 and ends at $8,000 after 5 years, the CAGR would be negative, indicating a decline in value.

Excel Formula for CAGR

Excel provides built-in functions to calculate CAGR. The most common function is the XIRR function, which calculates the internal rate of return for a schedule of cash flows. However, for simple CAGR calculations, you can use the following formula:

For example, if you have an investment that starts at $10,000 and ends at $15,000 after 5 years, you would enter the following formula in Excel:

This formula will return the CAGR as a decimal. To convert it to a percentage, multiply the result by 100.

Step-by-Step Guide to Calculate Negative CAGR in Excel

1. Enter Your Data

   Start by entering your investment data into Excel. You'll need the beginning value, ending value, and the number of years.

   For example:

   • Beginning Value: $10,000
   • Ending Value: $8,000
   • Number of Years: 5

2. Enter the Formula

   In a new cell, enter the CAGR formula. For our example, the formula would be:

   =((B2/A2)^(1/B3) - 1)

   Where:

   • A2 contains the beginning value ($10,000)
   • B2 contains the ending value ($8,000)
   • B3 contains the number of years (5)

3. Format the Result

   To display the result as a percentage, select the cell with the formula and go to the "Home" tab. Click on the percentage button in the Number group.

4. Interpret the Result

   The result will be a negative percentage, indicating a decline in the investment's value. For our example, the result would be approximately -5.85%, indicating a 5.85% annual decline over the 5-year period.

Worked Example

Let's walk through a complete example to calculate negative CAGR in Excel.

Scenario

You invested $20,000 in a business 3 years ago. Today, the business is worth $15,000. Calculate the CAGR for this investment.

Step 1: Enter the Data

Enter the following data into Excel:

• A1: Beginning Value
• A2: $20,000
• B1: Ending Value
• B2: $15,000
• C1: Number of Years
• C2: 3

Step 2: Enter the Formula

In cell D2, enter the following formula:

Step 3: Format the Result

Select cell D2 and click on the percentage button in the Number group.

Result

The result will be approximately -5.79%, indicating a 5.79% annual decline in the investment's value over the 3-year period.