Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Which of the following is correct about the compound annual growth rate?

Options:

It is an average annualized return of an investment.

It is calculated by taking the arithmetic mean of series of returns.

It is a linear measure that does not account for the effects of compounding.

It smoothens out the volatile nature of year by year growth/decay rates and provides more accurate results.

Correct Answer:

It smoothens out the volatile nature of year by year growth/decay rates and provides more accurate results.

Explanation:

The correct answer is Option (4) → It smoothens out the volatile nature of year by year growth/decay rates and provides more accurate results.

CAGR is based on compounding and gives a single growth rate that links the beginning value to the ending value.

It does not use arithmetic mean and it is not a linear measure.

It reflects the effect of compounding and smoothens year-to-year fluctuations.

The correct statement is: It smoothens out the volatile nature of year by year growth/decay rates and provides more accurate results.