The correct option is Greater than one.
In corporate finance and capital budgeting, the Profitability Index (PI) is a crucial metric used to evaluate the relative profitability of investment projects. PI provides insight into the efficiency of capital allocation by comparing...
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The correct option is Greater than one.
In corporate finance and capital budgeting, the Profitability Index (PI) is a crucial metric used to evaluate the relative profitability of investment projects. PI provides insight into the efficiency of capital allocation by comparing the present value of expected future cash inflows to the initial investment required. It is particularly helpful when a firm faces capital rationing, as it allows managers to prioritize projects that yield the highest returns per dollar invested.
Mathematically, the Profitability Index is expressed as:
PI=Initial InvestmentPresent Value of Future Cash Flows
When a project has a positive Net Present Value (NPV), the present value of future cash inflows exceeds the initial cost of the project. This directly implies:
Present Value of Future Cash Flows>Initial Investment⟹PI>1
Thus, a positive NPV always corresponds to a Profitability Index greater than one. Understanding this relationship is fundamental for finance MCQs, as it links the absolute value of expected profits (NPV) with the relative measure of investment efficiency (PI).
The Profitability Index is especially useful in situations of limited capital. For example, if a firm has a budget constraint, managers cannot invest in all available projects. By ranking projects according to their PI, they can select the ones that provide the maximum return per unit of investment, ensuring optimal use of scarce resources. For instance, a project with a PI of 1.5 generates $1.50 in present value for every $1 invested, signaling a highly profitable opportunity. Conversely, a PI below one indicates that the project will not recover its initial investment, resulting in a negative NPV.
It is important to distinguish the other possible values of PI:
PI = 1 – The project breaks even; present value of inflows equals the initial investment, and NPV = 0.
PI < 1 – The project is unprofitable; present value of inflows is less than the investment, resulting in a negative NPV.
PI > 2 – Rarely occurs; only projects with exceptionally high returns produce a PI above two.
From a practical perspective, PI complements NPV in decision-making. While NPV gives an absolute value indicating the total net gain in dollars, PI provides a relative measure of profitability, which is particularly helpful when comparing projects of different sizes. For finance students and professionals, understanding both metrics ensures better assessment of project feasibility and efficiency.
In corporate finance exams and MCQs, questions often focus on the conceptual understanding of PI rather than complex calculations. Knowing that a positive NPV guarantees a PI greater than one is a recurring test point because it reflects the fundamental principle of investment efficiency and capital allocation.
Additionally, the Profitability Index is a vital tool for investment analysis in real-world finance. Companies use it to allocate funds across multiple projects strategically, maximize shareholder value, and manage financial risk. By ensuring that every dollar invested generates more than one dollar in present value, managers make informed, rational decisions that enhance long-term profitability.
In conclusion, if a project has a positive NPV, the corresponding Profitability Index (PI) will always be greater than one. Mastering this concept is essential for finance students, corporate managers, and investment analysts. It strengthens exam performance, enhances understanding of capital budgeting principles, and provides practical insight into selecting and prioritizing projects for efficient capital allocation.
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