Capital budgeting concepts: select the correct statement(s) among the definitions of Payback Period (PBP), Internal Rate of Return (IRR), and Net Present Value (NPV).
-
APayback Period is the number of years required to recover the initial cash investment in a project.
-
BIRR is the discount rate that equates the present value of expected net cash flows with the initial cash outflow.
-
CNPV equals the present value of a proposal’s net cash flows minus the proposal’s initial cash outflow.
-
DAll of these
-
ENone of these
Answer
Correct Answer: All of these
Explanation
Introduction / Context:Payback, IRR, and NPV are the three most frequently cited tools in capital budgeting. Correctly understanding their definitions ensures that decision criteria are applied consistently across projects and that trade-offs between liquidity, return, and value creation are transparent.
Given Data / Assumptions:
- Projects have identifiable initial cash outflows and a stream of net cash inflows/outflows.
- Time value of money is recognized via discounting.
- Decision rules: NPV > 0, IRR > hurdle rate, payback within a target period.
Concept / Approach:Payback focuses on liquidity and risk by measuring how quickly capital is recovered (ignores time value unless “discounted payback” is used). IRR is the yield that sets NPV to zero and is compared to a hurdle rate. NPV directly measures value added in present-value terms and is the most theoretically sound criterion when used correctly.
Step-by-Step Solution:
Write PBP definition: years to recoup initial outlay from net inflows.Write IRR definition: the rate r such that NPV(r) = 0.Write NPV definition: NPV = PV(inflows) − Initial Outflow.Verification / Alternative check:
Confirm with a simple example: discount cash flows at a trial rate; when NPV crosses zero, that rate is IRR; payback occurs when cumulative undiscounted inflows equal the initial outlay.Why Other Options Are Wrong:
Each of a, b, c is correct; only “All of these” fully captures the set of proper definitions.“None of these” contradicts standard finance theory.Common Pitfalls:
Using IRR for non-conventional cash flows that create multiple IRRs; rely on NPV in such cases.Ignoring scale differences when comparing projects solely by IRR.Final Answer:
All of these