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NPV, IRR, and MIRR in Capital Budgeting Decisions

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Abstract

This paper examines three primary capital budgeting decision criteria β€” net present value (NPV), internal rate of return (IRR), and modified internal rate of return (MIRR) β€” in the context of evaluating a proposed plant construction project. Using a hypothetical $100 million factory investment as a working example, the paper explains how each measure is calculated, what it indicates about project viability, and how the three criteria relate to one another. The discussion concludes with a comparison of their practical strengths and limitations, arguing that NPV is the most reliable primary criterion for maximizing firm value, while IRR and MIRR serve as useful secondary measures.

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What makes this paper effective

  • Uses a single consistent numerical example ($100 million factory) throughout all three measures, making direct comparison easy and concrete for the reader.
  • Clearly distinguishes the conceptual difference between NPV (absolute value added) and IRR/MIRR (rates of return), which is a common source of confusion in finance courses.
  • Arrives at a practical recommendation rather than treating all three methods as equally valid, demonstrating evaluative judgment rather than mere description.

Key academic technique demonstrated

The paper uses a running worked example as a rhetorical anchor. By applying each new concept (NPV, IRR, MIRR) to the same hypothetical project, the writer allows readers to see not just how each metric is defined, but how they interact and differ in practice. This technique β€” sometimes called the "persistent example" β€” is particularly effective in quantitative business writing because it grounds abstract financial theory in traceable numbers.

Structure breakdown

The paper opens with a framing introduction that establishes the decision context and introduces all three methods. Each of the next three sections then covers one method in isolation, building toward a concluding section that compares all three and offers a recommendation. This funnel structure β€” broad context β†’ individual analysis β†’ synthesized judgment β€” is a reliable pattern for short analytical finance papers.

Introduction to Capital Budgeting

For a plant construction project, a firm needs a reliable method to determine whether the investment is worth pursuing. There are a number of ways companies evaluate such projects, but the most common are net present value (NPV), internal rate of return (IRR), and modified internal rate of return (MIRR). Each of these methods is grounded in the concept of discounted cash flow. The incremental cash flows of the project are evaluated to determine whether the project generates a positive cash flow on a time-adjusted (discounted) basis (Investopedia, 2012).

In theory, if a project makes a positive contribution to the company, it should be accepted. In practice, companies often face decisions between mutually exclusive options. Given tight financing constraints, that may well be the case here, meaning that competing projects must be evaluated against one another and only the best options selected.

Net Present Value (NPV)

Net present value (NPV) is a measure of whether a project's cash inflows exceed its cash outflows. The cash flows associated with a project are discounted at the company's cost of capital and weighed against the initial investment cost. For example, suppose a factory project costs $100 million to start and generates income of $40 million per year for five years. If the company's cost of capital is 12%, the net present value of this project is $44.19 million β€” the amount of wealth the project adds to the firm. Because the NPV is above zero, the project would be undertaken.

This NPV would, however, be compared to the NPVs of all mutually exclusive projects so that the best available project is selected.

Internal Rate of Return (IRR)

The internal rate of return takes the NPV calculation further by determining what the actual rate of return on the project is. If the rate of return exceeds the company's cost of capital, the project should be undertaken. The IRR is closely related to the NPV β€” both are based on the same underlying discounted cash flow calculation. The key difference is that while NPV focuses on an absolute dollar amount, IRR focuses on a percentage rate of return. As a result, a project with a higher IRR might be considerably smaller in scale than a project with a higher NPV but a lower IRR. This makes the choice of selection criterion important. The IRR is typically calculated in Excel. For the hypothetical project described above, the IRR is 15%.

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Modified Internal Rate of Return (MIRR) · 95 words

"MIRR's reinvestment assumption and practical advantage"

Choosing the Right Decision Criterion · 115 words

"Comparing NPV, IRR, and MIRR for final decisions"

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Key Concepts in This Paper
Net Present Value Internal Rate of Return Modified IRR Discounted Cash Flow Cost of Capital Capital Budgeting Mutually Exclusive Projects Reinvestment Assumption Return on Investment Firm Value
Cite This Paper
PaperDue. (2026). NPV, IRR, and MIRR in Capital Budgeting Decisions. PaperDue. https://www.paperdue.com/study-guide/npv-irr-mirr-capital-budgeting-78454

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