Strategic Performance Management and Business Valuation · Economic Efficiency of the Firm - Performance Analysis

Return on Investment and Residual Income for Divisional Performance

Updated 11 October 2026 · Fact-checked

Return on Investment (ROI) is divisional profit as a percentage of capital employed. Residual Income (RI) is divisional profit minus a capital charge at the required rate of return. To solve a question, compute profit and investment base, calculate ROI or RI, then compare with the required return and recommend accept or reject.

Understand Return on Investment and Residual Income

A company with several divisions needs a way to judge each division and its manager. Profit alone is not enough. A division earning ₹10 lakh on ₹1 crore of assets is doing worse than one earning ₹5 lakh on ₹20 lakh. So you relate profit to the capital used.

Return on Investment (ROI) does this as a percentage. It is easy to understand and lets you compare divisions of different sizes. Its weakness is that it can push managers to reject projects that are good for the company.

Here is why. Suppose a division earns 30% ROI and the company's cost of capital is 12%. A new project offering 20% is worth doing for the company. But it would pull the division's ROI down from 30%. The manager, judged on ROI, may reject it. This is a dysfunctional decision: good for the manager's measure, bad for the company. The opposite also happens. A division with a low ROI may accept a project that is below the company's required return but above its own current ROI.

Residual Income (RI) fixes this. It is profit left after charging for the capital used: RI = profit − (capital employed × required rate of return). Any project earning above the required rate adds to RI, so the manager accepts it. RI is an absolute amount in rupees, so it favours larger divisions and cannot be compared directly across different sizes.

In the exam, you are usually asked to calculate both, compare them, show the effect of a new project, and comment on goal congruence.

Key rules to remember

Return on Investment (ROI): ROI = (Divisional profit ÷ Capital employed) × 100; State which profit (before or after tax, before or after divisional interest) and which capital base (opening, closing or average) you use.
Residual Income (RI): RI = Divisional profit − (Capital employed × Required rate of return); The deduction is called the capital charge or notional interest. Profit must be before interest on that capital.
Project acceptance under ROI: Accept if project ROI > division's current ROI (manager's view); This can conflict with the company's view, which is to accept if project return > cost of capital.
Project acceptance under RI: Accept if project profit − (project investment × required rate) > 0; Equivalent to project return > required rate, so it supports goal congruence.
Capital employed (common form): Capital employed = Total assets − Current liabilities; Use the base given in the question. Net book value or gross value may be specified.

How to solve Return on Investment and Residual Income questions

Use this order for any ROI or RI question. It keeps the working clean and earns method marks.

1Read what profit and investment base the question gives. Note whether interest or tax is already deducted.
2State the profit figure and capital employed you will use, with the basis (opening, closing or average).
3Calculate ROI = profit ÷ capital employed × 100.
4Calculate the capital charge = capital employed × required rate, then RI = profit − charge.
5If a new project is given, recompute ROI and RI for the division after adding the project profit and investment.
6Test the decision from two views: the manager's (ROI or RI change) and the company's (project return vs cost of capital).
7Write a clear recommendation and name any conflict, such as a dysfunctional decision.
8Add one line on limitations: short-term focus, depreciation and asset valuation effects, differences in risk.

Quickest way: Rate-versus-rate shortcut

When to use it: Use when the question asks whether a project should be accepted and what each measure suggests, and you are short of time.

Compute the project's own return: project profit ÷ project investment.
Compare it with the required rate. If higher, RI rises and the company gains.
Compare it with the division's current ROI. If lower, division ROI falls.
Then conclude. Above required rate but below current ROI means ROI rejects and RI accepts, a dysfunctional case.
Confirm with one RI figure: project profit − investment × required rate.

Common mistakes in Return on Investment and Residual Income

Deducting the capital charge from profit that is already after interest on the same capital.
Students take the profit figure without checking how it is defined.
Fix: Use profit before interest on the capital being charged. Check the question's wording before the capital charge step.
Mixing capital bases, such as profit with closing capital in one part and average capital in another.
Data for opening and closing values appears together and students pick whichever is handy.
Fix: Choose one base as stated, write it down, and use it for ROI and RI throughout.
Comparing RI of divisions of different sizes as if bigger RI means better management.
RI is in rupees, so it looks directly comparable.
Fix: Note that RI favours larger divisions. Use ROI alongside it for size-neutral comparison.
Judging a project only by its effect on division ROI and accepting or rejecting on that basis.
Students forget to bring in the company's cost of capital.
Fix: Always compare the project return with the required rate as well, then comment on goal congruence.
Writing ROI as a rupee figure or RI as a percentage.
Rushing through the working and mixing the formulas.
Fix: ROI is a percentage. RI is an amount in rupees. Label each answer with its unit.

Worked examples

Example 1

Division A of Bharat Industries has operating profit of ₹36,00,000 and capital employed of ₹1,20,00,000. The company's required rate of return is 15%. Calculate ROI and residual income. Division A is offered a project needing ₹20,00,000 that will earn a profit of ₹4,00,000 a year. Advise whether the manager and the company would accept it.

Show the solution

ROI = 36,00,000 ÷ 1,20,00,000 × 100 = 30%.
Capital charge = 1,20,00,000 × 15% = ₹18,00,000.
RI = 36,00,000 − 18,00,000 = ₹18,00,000.
Project return = 4,00,000 ÷ 20,00,000 × 100 = 20%.
With the project: profit = 40,00,000; capital = 1,40,00,000. ROI = 40,00,000 ÷ 1,40,00,000 × 100 = 28.57%, which is lower than 30%.
Project capital charge = 20,00,000 × 15% = ₹3,00,000. Project RI = 4,00,000 − 3,00,000 = ₹1,00,000. New division RI = 18,00,000 + 1,00,000 = ₹19,00,000.
Manager judged on ROI would reject (ROI falls from 30% to 28.57%). Manager judged on RI would accept (RI rises by ₹1,00,000). The company should accept since 20% exceeds 15%.

Answer: ROI = 30%; RI = ₹18,00,000. The project lowers ROI to 28.57% but raises RI to ₹19,00,000. The company should accept it. ROI would cause a dysfunctional rejection; RI supports the correct decision.

Example 2

Division X of Kaveri Ltd earns profit of ₹9,00,000 on capital employed of ₹60,00,000. Division Y earns profit of ₹30,00,000 on capital employed of ₹2,50,00,000. The required rate of return is 12%. Compute ROI and RI for each, and state which division performs better on each measure.

Show the solution

Division X ROI = 9,00,000 ÷ 60,00,000 × 100 = 15%.
Division Y ROI = 30,00,000 ÷ 2,50,00,000 × 100 = 12%.
Division X capital charge = 60,00,000 × 12% = ₹7,20,000. RI = 9,00,000 − 7,20,000 = ₹1,80,000.
Division Y capital charge = 2,50,00,000 × 12% = ₹30,00,000. RI = 30,00,000 − 30,00,000 = ₹0.
Division X is better on both ROI (15% vs 12%) and RI (₹1,80,000 vs nil).
Comment: Division Y only just earns its required return, so it adds no value above the capital charge despite larger profit.

Answer: X: ROI 15%, RI ₹1,80,000. Y: ROI 12%, RI ₹0. Division X performs better on both measures, even though Y has the larger absolute profit.

Exam tips

Always show the capital charge line separately. It earns method marks even if a later figure is wrong.
State your basis for capital employed and profit in one line before calculating.
In case-based MCQs, check whether the required rate is applied to opening, closing or average capital as the scenario says.
For comment questions, cover three points: goal congruence, comparison across sizes, and short-term focus.
When a project is offered, give the manager's view and the company's view separately, then recommend.

Practice questions from Economic Efficiency of the Firm - Performance Analysis

Return on Investment and Residual Income in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Return on Investment and Residual Income: frequently asked questions

What is the main difference between ROI and residual income?

ROI is a percentage return on capital employed. RI is an absolute rupee amount after a charge for capital. ROI can cause managers to reject profitable projects, while RI encourages accepting any project above the required rate.

Why does ROI lead to dysfunctional decisions?

A manager wants to keep division ROI high. A project with a return above the company's cost of capital but below the division's current ROI lowers the average, so the manager may reject it even though the company would gain.

Which profit figure should I use for RI?

Use the figure the question gives. In general, use divisional profit before interest on the capital being charged, and state any tax treatment you assume. Be consistent with the capital base.

Can RI be used to compare divisions of different sizes?

Not directly. A larger division usually shows a larger RI simply because it has more capital. Use ROI or RI relative to capital employed when you need a size-neutral view.