Question

For which of the following purposes is CAGR (Compounded Annual Growth Rate) not used?

• A. To calculate and communicate the average growth of a single investment
• B. To understand and analyze donations received by an NGO
• C. To demonstrate and compare the performance of investment advisors
• D. To compare the historical returns of stocks with a savings account

Hint:

CAGR is useful for evaluating the average growth rate of investments over time, but it’s important to remember that it assumes a consistent rate of return. It's not applicable when growth varies year by year, or when compounding doesn't occur (as in donations).

Answer 1

The Correct Option is B

The Compound Annual Growth Rate (CAGR) is a financial metric representing the average annual growth rate of an investment over a defined period. Its calculation is as follows:

\[ \text{CAGR} = \left( \frac{\text{Ending Value}}{\text{Beginning Value}} \right)^{\frac{1}{n}} - 1 \]

Here, \(n\) denotes the number of years.

Common uses for CAGR include:

• Assessing the average growth of an individual investment.
• Evaluating and comparing the performance of investment advisors.
• Comparing historical returns between stocks and savings accounts.

CAGR is generally unsuitable for analyzing NGO donations, as these contributions fluctuate in purpose and amount annually and are not typically evaluated using compound growth principles.

Therefore, the incorrect application is: To understand and analyze donations received by an NGO