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Return on equity

Return on equity is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Return on equity rather than just read about it. In short: The return on equity (ROE) is a measure of the profitability of a business in relation to its equity; where: ROE = ⁠Net Income/Average Shareholders' Equity⁠ Thus, ROE is equal to a fiscal year's net income (after preferred stock dividends, before common stock dividends), divided by total equity (excluding preferred shares), expressed as a percentage. Because shareholder's equity can be calculated by taking all asset…

Key takeaways

  • Return on equity belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Return on equity to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Return on equity from memory before moving on to harder problems.

Reference excerpt

The return on equity (ROE) is a measure of the profitability of a business in relation to its equity; where:

ROE = ⁠Net Income/Average Shareholders' Equity⁠ Thus, ROE is equal to a fiscal year's net income (after preferred stock dividends, before common stock dividends), divided by total equity (excluding preferred shares), expressed as a percentage. Because shareholder's equity can be calculated by taking all assets and subtracting all liabilities, ROE can also be thought of as a return on NAV, or assets less liabilities.

Usage ROE measures how many dollars of profit are generated for each dollar of shareholder's equity, and is thus a metric of how well the company utilizes its equity to generate profits. ROE is especially used for comparing the performance of companies in the same industry. As with return on capital, an ROE is a measure of management's ability to generate income from the equity available to it. ROEs of 15–20% are generally considered good. ROE is also a factor in stock valuation, in association with other financial ratios. Note though that, while higher ROE ought intuitively to imply higher stock prices, in reality, predicting the stock value of a company based on its ROE is dependent on too many other factors to be of use by itself. Both of these are expanded below.

The DuPont formula

The DuPont formula, also known as the strategic profit model, is a framework allowing management to decompose ROE into three actionable components; these "drivers of value" being the efficiency of operations, asset usage, and finance. ROE is then the net profit margin multiplied by asset turnover multiplied by accounting leverage:

R O E = Net income Sales × Sales Total Assets × Total Assets Shareholder Equity {\displaystyle \mathrm {ROE} ={\frac {\mbox{Net income}}{\mbox{Sales}}}\times {\frac {\mbox{Sales}}{\mbox{Total Assets}}}\times {\frac {\mbox{Total Assets}}{\mbox{Shareholder Equity}}}}

The application, in the main, is either to financial management or to fund management:

Splitting return on equity into the three components, makes it easier for financial managers to understand changes in ROE over time. For example, if the net margin increases, every sale brings in more money, resulting in a higher overall ROE. Similarly, if the asset turnover increases, the firm generates more sales for every unit of assets owned, again resulting in a higher overall ROE. Finally, increasing accounting leverage means that the firm uses more debt financing relative to equity financing. Interest payments to creditors are tax-deductible, but dividend payments to shareholders are not. Thus, a higher proportion of debt in the firm's capital structure leads to higher ROE. Financial leverage benefits diminish as the risk of defaulting on interest payments increases. If the firm takes on too much debt, the cost of debt rises as creditors demand a higher risk premium, and ROE decreases. Increased debt will make a positive contribution to a firm's ROE only if the matching return on assets (ROA) of that debt exceeds the interest rate on the debt. Identifying the sources of ROE in this fashion similarly allows investment analysts a better knowledge of the company and how it should be valued. Here, analysts will compare the current sources of ROE against the company's history and its competitors, and thereby better understand the drivers of value. In particular, as mentioned, ROE is used developing estimates of a stock’s growth rate, and hence the growth rate of its dividends. These then feed, respectively, into the terminal value calculation, and / or the dividend discount model valuation result. Relatedly, within the listed corporate, this analysis allows management to preempt any underperformance vs shareholders' required return, which could then lead to a decline in the company's shares value, since, "in order to satisfy investors, a company should be able to generate a higher ROE than the return available from a lower risk investment".

See also List of business and finance abbreviations Return on assets (RoA) Return on brand (ROB) Return on capital employed (ROCE) Return on capital (RoC) Return on net assets (RoNA) Leverage (finance)

References

Worked examples

Example 1 — a first encounter with Return on equity

Start with the simplest possible case. Write down what Return on equity claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Return on equity before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Return on equity ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Return on equity

In research
Return on equity appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Return on equity in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Return on equity is common in secondary-school and first-year university syllabi. It links to neighbouring topics Financial ratios, Investment indicators, so understanding it makes those chapters shorter.
In everyday life
Look for Return on equity outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Return on equity in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Return on equity means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Return on equity out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Return on equity in simple terms?

The return on equity (ROE) is a measure of the profitability of a business in relation to its equity; where: ROE = ⁠Net Income/Average Shareholders' Equity⁠ Thus, ROE is equal to a fiscal year's net income (after preferred stock dividends, before common stock dividends), divided by total equity (ex…

Why does Return on equity matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Return on equity?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Return on equity.

Tags

  • Financial ratios
  • Investment indicators

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