Hello! Welcome to the sixth and final lesson of our module on Managerial Accounting and Control.
In our previous lesson, we established how to price transactions between a firm's divisions using various transfer pricing methods. Those prices directly impact the revenues and costs—and therefore the profits—of each division. Today, we'll address the logical next step: how to use those profit numbers to evaluate the performance of the divisions themselves, particularly when they are run as investment centers, where managers control not only profits but also the assets used to generate them.
Our learning outcome is to evaluate the performance of investment centers using Return on Investment (ROI), Residual Income (RI), and Economic Value Added (EVA).
We will explore three key metrics that build upon each other. We'll start with the most common metric, ROI, and analyze its major drawback. We'll then see how RI was developed to solve this problem, and finally, how EVA refines RI to create a powerful measure of true economic value creation.
1. Return on Investment (ROI): The Efficiency Ratio
The most intuitive and widely used metric for an investment center is Return on Investment (ROI). It measures how efficiently a manager is using the assets at their disposal to generate profit. It's a ratio, expressed as a percentage.
The basic formula is:
A key strength of ROI is that it can be decomposed into two distinct drivers of performance, a concept often associated with the DuPont analysis framework:
- Sales Margin (or Return on Sales): Measures profitability. It shows how much profit is generated from each dollar of sales.
- Asset Turnover: Measures efficiency. It shows how much sales revenue is generated from each dollar invested in assets.
This decomposition is powerful because it shows that a manager can improve ROI by either increasing profitability (e.g., raising prices, cutting costs) or by using assets more efficiently (e.g., reducing inventory, collecting receivables faster).
To see a worked example of this calculation, please review the following resource.
LO 12.3 Evaluate an Operating Segment or a Project Using ...
This section from the textbook 'Managerial Accounting' provides a clear example of calculating ROI and its components for three different divisions of a company.
Please read the section 'Calculation and Interpretation of the Return on Investment'. Focus on the 'Scrumptious Sweets, Inc.' example. Observe how ROI is calculated for the Donut, Bagel, and Brownie divisions and how the decomposition into Sales Margin and Asset Turnover helps diagnose performance issues.
The Problem with ROI: Goal Congruence
While ROI is a useful tool for comparing the efficiency of different-sized divisions, it suffers from a major flaw: it can lead managers to make decisions that benefit their division but harm the company as a whole. This is known as a goal congruence problem.
Let's watch a video that illustrates this critical issue.
MA45 Calculating ROI and Residual Income - Sample Problem
The video 'Calculating ROI and Residual Income' by Tony Bell provides a simple, powerful example of the goal congruence problem.
Please watch from 00:43 to 06:02. Pay close attention to the scenario presented. Note the division's ROI before the new investment opportunity and what happens to the ROI after accepting it. Why would the manager, if judged solely on ROI growth, reject the project?
As the video demonstrates, a manager of a high-performing division (e.g., 25% ROI) may reject a new project that offers a perfectly good return (e.g., 20%) but is below the division's current average. Accepting the project would lower the division's overall ROI, potentially hurting the manager's performance review and bonus, even though the project would have earned a return well above the company's overall cost of capital. This is a classic example of underinvestment caused by a flawed performance metric.
2. Residual Income (RI): Solving the Underinvestment Problem
To overcome the goal congruence problem of ROI, companies developed Residual Income (RI). Instead of a percentage, RI is an absolute dollar amount. It measures the operating income a division earns above a minimum required return on its assets.
The formula is:
The term in the parentheses is the capital charge—it represents the cost of tying up capital in the division. A positive RI means the division is generating profits in excess of this cost.
Now, let's see how RI solves the problem we just saw with ROI.
MA45 Calculating ROI and Residual Income - Sample Problem
Let's continue with the same video, which now demonstrates the RI calculation for the same scenario.
Please watch from 06:02 to 09:30. Observe how the same investment opportunity is evaluated using RI. Does the manager's decision change? Why?
With RI, any project that earns a return greater than the minimum required rate will increase the division's total RI. Therefore, the manager is motivated to accept all profitable projects, aligning their interests with the company's overall goal of maximizing value.
The Limitation of RI
While RI solves the underinvestment problem, it has its own drawback. Because it's an absolute number, it's difficult to use it to compare the performance of divisions of different sizes. A large, mediocre division might generate a higher RI than a smaller, more efficient division simply due to its scale.
This is the core trade-off between the two metrics.
Comparing ROI and Residual Income (EVA) for Evaluating ...
This article, 'Comparing ROI and Residual Income', provides an excellent summary of this key difference.
Please read the sections 'ROI vs. RI: Understanding the key differences' and 'When to use ROI and RI'. Focus on the concept of 'scale' and the practical scenarios where each metric is most appropriate.
3. Economic Value Added (EVA): A Refined Measure of Value Creation
Economic Value Added (EVA) is a specific, trademarked version of residual income that aims to measure a division's or company's true economic profit. It refines the RI concept by using more precise, market-based inputs. The goal of EVA is to determine if a business is creating value for its shareholders.
The core idea is to move from accounting profit (like Net Income) to economic profit.
This video from The Finance Storyteller clearly explains the concept of EVA and distinguishes it from standard accounting metrics.
Please watch from the beginning to 05:02. Focus on the distinction between accounting profit and economic profit, and understand the components of the EVA formula: NOPAT, WACC, and Invested Capital.
The standard formula for EVA is:
Let's break this down:
- NOPAT (Net Operating Profit After Tax): This is the after-tax operating income available to all capital providers (both debt and equity holders). It's a more precise measure of operating performance than pre-tax income.
- Invested Capital: The total capital employed in the business, typically defined as total assets minus non-interest-bearing current liabilities.
- WACC (Weighted Average Cost of Capital): This is the blended, market-based cost of the company's debt and equity financing. It's a more formal and economically rigorous hurdle rate than the "minimum required rate of return" used in a typical RI calculation.
The key differences between a generic RI and EVA are that EVA is an after-tax measure and uses the more formal WACC as its capital charge rate.
An Alternative View of EVA
A particularly insightful way to express EVA, especially given your background, is:
Where ROIC (Return on Invested Capital) is NOPAT / Invested Capital.
This formulation makes the value-creation logic explicit: a firm only creates value when its return on invested capital is greater than its cost of capital. The resulting "spread" (ROIC - WACC), multiplied by the amount of capital invested, gives the dollar amount of value created (or destroyed).
4. Synthesis: Choosing the Right Performance Metric
We've covered three metrics, each with distinct strengths and weaknesses. The choice of which to use is a strategic one, involving a trade-off between simplicity, comparability, and alignment with shareholder value.
Here's a summary of the trade-offs:
| Metric | Pros | Cons | Best For |
|---|---|---|---|
| ROI | Simple, intuitive, excellent for comparing different-sized units. | Can lead to underinvestment (poor goal congruence). | Quick efficiency comparisons, benchmarking, evaluating capital-rationing decisions. |
| RI | Solves the underinvestment problem, promotes goal congruence. | Absolute number, difficult to compare different-sized units. | Internal performance evaluation to encourage managers to accept all profitable projects. |
| EVA | Aligns manager decisions with shareholder value creation; economically rigorous. | Complex to calculate (requires NOPAT, WACC, and other adjustments). Can be difficult for operational managers to understand. | Sophisticated corporate performance measurement, executive compensation, and strategic capital allocation. |
In practice, many sophisticated firms use a combination of these metrics. They might use ROI for operational-level comparisons, but link senior management bonuses to RI or EVA to ensure a focus on overall value creation.
Conclusion
Today, we have explored the primary tools for evaluating the performance of investment centers. We've seen that how you measure performance has a profound impact on the decisions managers make.
Key Takeaways:
- Return on Investment (ROI) is a powerful ratio for measuring efficiency but can create a conflict of interest, leading managers to reject projects that are profitable for the company but would lower their division's average ROI.
- Residual Income (RI) solves this goal congruence problem by measuring absolute profit above a capital charge, thus motivating managers to accept all value-creating projects. However, it is not ideal for comparing divisions of different sizes.
- Economic Value Added (EVA) is a specific, more rigorous form of RI that measures true economic profit by using after-tax operating income (NOPAT) and the Weighted Average Cost of Capital (WACC). It directly links divisional performance to shareholder value creation.
- The choice of metric involves a crucial trade-off between simplicity and comparability (ROI) versus goal congruence and value creation (RI/EVA).
Preview of the Next Lesson:
We've repeatedly seen the importance of the "cost of capital" today, whether as a "minimum required rate of return" for RI or as the "WACC" for EVA. This concept is a cornerstone of modern finance. In our next lesson, we will move into the Foundations of Corporate Finance module and dive deep into this topic. We will learn how to estimate a firm's cost of equity using the Capital Asset Pricing Model (CAPM) and its after-tax cost of debt, which are the building blocks for calculating the WACC.