Question

Internal Rate of Returns for a project is the rate of interest that ______________

• A. Considers only internal costs
• B. Considers profits over labour costs only
• C. Equates the stream of discounted benefits and costs
• D. Denote the actual value of the project

Hint:

Simple way to remember: IRR is the interest rate where Profit = 0 (after discounting). If your IRR is 15%, and the bank loan is 10%, you are making a profit.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The question asks for the technical definition of the Internal Rate of Return (IRR), another fundamental metric in project appraisal and financial analysis.

Step 2: Detailed Explanation:

• The Internal Rate of Return (IRR) is defined as the specific discount rate at which the Net Present Value (NPV) of all cash flows (both positive and negative) from a project equals exactly zero.

• At this rate, the stream of discounted benefits is exactly equal to the stream of discounted costs. It represents the "break-even" interest rate of an investment.

• Mathematically, it is the value of $r$ that satisfies the equation:
\[ \sum_{t=0}^{n} \frac{B_t - C_t}{(1+r)^t} = 0 \]

• IRR is used to determine if a project's return is higher than the cost of capital. If a forestry project's IRR is higher than the prevailing market interest rate, it is considered a good investment.

• Unlike NPV, which gives a dollar/rupee value, IRR provides a percentage return, making it easier to compare different types of investments.

Step 3: Final Answer:
The IRR is the rate that equates the stream of discounted benefits and costs.