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Return on equity, ROE: calculate using average equity

ROE relates a company’s profit to equity under a stated definition. It is not the percentage change in the value of your share. This lesson averages two balance-sheet dates and follows why the same profit can produce different ratios when the equity base changes.

What you will learn

  • Calculate ROE with matching profit and equity.
  • Explain how an average differs from an ending value.
  • Distinguish company ROE from return on a purchased share.

Match owners, period and equity base

Our definition uses annual net profit attributable to the parent company’s shareholders divided by average equity attributable to the same owners. All numbers are fictional. There are no non-controlling interests or preference shares in the model. The year is twelve months and we explicitly average equity at the beginning and end.

A two-point calculation is a simplification: large changes within the year can make a more detailed average describe the equity base differently. Always read how the actual company calculates the measure. Atlas Copco’s published definition uses profit attributable to parent owners and average equity excluding non-controlling interests; our exercise numbers do not describe its operations.

If the table does not fit, scroll it sideways.

Fictional annual data for the same ownership group
FieldAmount
Annual net profitSEK 60 million
Equity at the year’s startSEK 300 million
Equity at the year’s endSEK 500 million
Chosen two-point averageSEK 400 million

Calculate the average before the ratio

Average equity is (300 + 500) / 2 = SEK 400 million. ROE is 60 / 400 × 100 = 15% for the year. Dividing only by ending equity gives 60 / 500 = 12%, while dividing only by starting equity gives 60 / 300 = 20%. Those last two calculations use other equity bases.

Do not simply write 15%; also state the profit period and how the denominator was calculated. A company with the same profit but lower average equity can have higher ROE. This describes the relationship between two reported figures; explaining it may require information about debt, dividends and equity changes.

Shareholder return uses a purchase price

Separately assume someone buys a share for SEK 120, receives a SEK 2 dividend and sells for SEK 114 after the same year. Ignore fees and taxes. The shareholder’s total result is 114 + 2 − 120 = −SEK 4, or −4 / 120 × 100 ≈ −3.33%.

That negative share result can occur while company ROE is 15%. The shareholder uses the price paid as the base, while company ROE uses reported equity. The dividend enters the share example, but ROE is not a dividend percentage. Mixing those denominators creates a comparison that answers neither question correctly.

Interpret a relationship without ranking everything

A very small or negative equity base can make the percentage difficult to interpret. With zero average equity, division is undefined. Do not automatically treat a large number or two negative signs as evidence of a strong company. Check levels, the definition and what changed equity.

Investiq’s company guide helps you begin with the correct company and period. This ROE activity is an independent report calculation and does not imply the app displays the ratio or uses it as purchase advice. Continue with equity ratio for capital structure or total return for shareholder results. These measures answer different questions rather than replacing one another.

Try it yourself

Another fictional company has annual profit of SEK 24 million, starting equity of 160 million and ending equity of 240 million. Use the same two-point average. Find ROE and decide whether this determines a shareholder’s return.

Show the solution and explanation

ROE is 12%. Shareholder return is unknown because purchase price, ending price and dividend are not given.

The average is (160 + 240) / 2 = SEK 200 million; 24 / 200 × 100 = 12. Company profit divided by equity does not contain the prices required for shareholder return.

Check your understanding

Why does the main example use SEK 400 million as denominator?

It is the explicitly chosen average of equity at the year’s beginning and end.

Can ROE guarantee the next share price?

No. It describes a reported relationship during the specified period and gives no such price guarantee.

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Sources and examples

The sources support the factual explanations. Calculations and exercises were created for this lesson. Amounts and price changes are invented unless stated otherwise.

This material is educational and does not recommend securities to buy. A simulated result does not guarantee a future result.

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