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Multiple Choice
Which of the following best describes the average rate of growth for an investment over a period of time?
A
Simple Interest Rate
B
Compound Annual Growth Rate (CAGR)
C
Future Value (FV)
D
Present Value (PV)
Verified step by step guidance
1
Understand the concept of Compound Annual Growth Rate (CAGR): CAGR is a measure used to describe the average annual growth rate of an investment over a specified period of time, assuming the investment grows at a steady rate. It is widely used in financial analysis to compare the performance of investments.
Recognize why Simple Interest Rate is not the correct answer: Simple interest calculates interest based only on the principal amount, without compounding. It does not account for the reinvestment of earnings, which is crucial for understanding growth over time.
Understand the difference between Future Value (FV) and Present Value (PV): Future Value refers to the value of an investment at a specific point in the future, given a certain rate of return. Present Value refers to the current value of future cash flows, discounted at a specific rate. Neither of these terms directly describes the average rate of growth over time.
Learn the formula for CAGR: The formula for CAGR is \( \text{CAGR} = \left( \frac{FV}{PV} \right)^{\frac{1}{n}} - 1 \), where \( FV \) is the future value, \( PV \) is the present value, and \( n \) is the number of years. This formula calculates the average annual growth rate of an investment.
Apply the concept of CAGR to the problem: Since the question asks for the average rate of growth for an investment over a period of time, the correct answer is Compound Annual Growth Rate (CAGR), as it accounts for compounding and provides a standardized measure of growth.