NPV, IRR, and ROIC in Capital Allocation

Updated for the 2026-2027 CFA® Level I curriculum.

Capital allocation decisions come down to one question: does this investment create value? NPV, IRR, and ROIC each answer that question from a different angle. CFA Level I candidates need to calculate each measure, interpret what it signals, and know what to do when NPV and IRR disagree. This note builds directly on the capital allocation process and connects forward to common allocation pitfalls.

Key Takeaways

• NPV converts future cash flows into a present dollar value added, using the required rate of return as the discount rate.

• IRR is the discount rate at which NPV equals zero. It expresses return as a percentage, not a dollar amount.

• ROIC compares after-tax operating profit to invested capital and shows whether existing investments earn more than their cost of capital.

• Accept a project when NPV is positive or IRR exceeds the required return.

• NPV and IRR usually agree for independent projects but can disagree for mutually exclusive projects with different scale or timing.

• When NPV and IRR conflict, NPV is the correct decision rule because it measures value in dollar terms.

• A common mistake is treating IRR as if it were a currency amount rather than a percentage return.

What You Need to Know for CFA Level I

• Calculate NPV given a set of cash flows and a required rate of return.

• Identify IRR as the rate that sets NPV to zero, without necessarily solving it algebraically by hand.

• Interpret positive, negative, and zero NPV in terms of value creation.

• Explain why NPV and IRR can produce different rankings for mutually exclusive projects.

• Apply ROIC as a measure of capital allocation efficiency, distinct from a single-project accept or reject decision.

• Recognize that NPV is the preferred decision rule when NPV and IRR conflict.

What Are NPV, IRR, and ROIC?

Each measure answers a different capital allocation question.

• NPV (net present value) asks: how many dollars of value does this project add today?

• IRR (internal rate of return) asks: what annual percentage return does this project generate?

• ROIC (return on invested capital) asks: how efficiently is the company using the capital it has already committed?

NPV and IRR apply to a specific investment decision. ROIC applies more broadly, often to assess whether a company's existing capital base is generating returns above its cost of capital.

Net Present Value Formula and Interpretation

NPV discounts all expected cash flows back to today at the required rate of return, then subtracts the initial outlay.

Where:

• is the expected cash flow in period

• is the required rate of return (often the cost of capital)

• is the time period

• is the initial investment, entered as a negative cash flow

Interpretation:

• . The project is expected to add value above the required return. Accept it.

• . The project earns exactly the required return. Value neutral.

• . The project earns less than the required return. Reject it.

NPV expresses the answer in dollars, which is why it aligns directly with shareholder value creation.

Internal Rate of Return Formula and Interpretation

IRR is the discount rate that makes NPV equal zero.

There is no simple algebraic formula. Candidates solve for IRR by trial and error, interpolation, or a financial calculator. The decision rule is straightforward.

• IRR > required return. Accept the project.

• IRR < required return. Reject the project.

IRR is useful because it expresses return as a single percentage, which is easy to compare across projects of different sizes. That convenience is also its weakness, covered in the conflict section below.

How ROIC Is Used in Capital Allocation

ROIC measures how much after-tax operating profit a company generates for each dollar of capital invested.

ROIC = NOPAT / Invested Capital

Where NOPAT is net operating profit after tax and invested capital includes both debt and equity capital used in operations.

ROIC does not evaluate a single new project the way NPV and IRR do. Instead, it evaluates how well a company has allocated capital across its existing investments. A company with ROIC above its weighted average cost of capital is creating value from its invested capital base. A company with ROIC below its cost of capital is destroying value even if reported earnings look healthy.

For Level I, know that ROIC complements project-level metrics. NPV and IRR help decide whether to fund a specific investment. ROIC helps assess whether past capital allocation decisions, taken together, have paid off.

NPV vs IRR: When Can They Disagree?

For a single independent project, NPV and IRR almost always agree on the accept or reject decision. Conflicts appear when comparing mutually exclusive projects, especially when the projects differ in scale or the timing of cash flows.

When NPV and IRR disagree on mutually exclusive projects, NPV is the correct rule to follow. It measures value in the same units that matter to shareholders: dollars, not percentages.

Worked Capital Allocation Example

A company can choose only one of two mutually exclusive projects. The required return is 10%.

Step 1: Calculate NPV for each project.

Step 2: Calculate IRR for each project.

Set NPV equal to zero and solve for the rate.

Step 3: Interpret the conflict.

IRR ranks Project A higher, 30% versus 20%. NPV ranks Project B higher, $45,454.55 versus $18,181.82. This is a classic scale conflict. Project A returns a higher percentage, but Project B adds more total dollar value because it is five times larger.

Decision: Since the projects are mutually exclusive, the company should select Project B. NPV measures dollars of value added, which is the correct basis for maximizing shareholder wealth.

Common Exam Traps

• Treating IRR like a dollar figure. IRR is a percentage return, not a cash amount. Candidates sometimes compare IRR directly to NPV as if the units matched.

• Getting the cash flow sign wrong. The initial outlay must enter the NPV formula as a negative value. A sign error flips the entire calculation.

• Picking the higher IRR automatically. For mutually exclusive projects, a higher IRR does not guarantee a higher NPV. Always check for a scale or timing conflict before deciding.

• Blending in AAR or profitability index logic. Those measures belong to earlier or eliminated curriculum material. Keep this note focused on NPV, IRR, and ROIC only.

• Calculating a metric without linking it to the decision. Getting the right NPV or IRR number is not the same as stating whether to accept, reject, or choose between projects. The exam rewards the full interpretation, not just the arithmetic.

Practice Question

A company evaluates two mutually exclusive projects with a required return of 12%.

• Project X: initial outlay of $200,000, single cash inflow of $250,000 in Year 1.

• Project Y: initial outlay of $50,000, single cash inflow of $65,000 in Year 1.

Project X has an IRR of 25%. Project Y has an IRR of 30%. Which project should the company select, and why?

1. Project Y, because it has the higher IRR.

2. Project X, because it has the higher NPV.

3. Either project, because both IRRs exceed the required return.

FAQs About NPV, IRR, and ROIC in Capital Allocation