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Divisional Performance Measurement

CIMA Free Mock Exam

1 Introduction

A divisionalised (or decentralised) organisation is split into units whose managers are given authority to take decisions for themselves, and who are then held accountable for the results. Those units are called responsibility centres.

This chapter deals with four questions that follow from that structure, and they are the four questions the syllabus asks. What are the different types of responsibility centre and what should each be measured on? Which costs and revenues may fairly be laid at a manager's door? How is the budget used to evaluate a centre's performance? And for an investment centre — where the manager also decides how much capital to employ — which measure relates the profit earned to the capital used?

Throughout, keep the second question in view: a performance measure is not only a measurement, it is an instruction. Managers do what they are measured on, and a badly chosen measure will get them to do the wrong thing perfectly well.

2 Divisionalised structures

The first recording covers this chapter from divisionalisation through to residual income — sections 2, 3, 4, 7, 8 and 9 below.

Notice one. The tutor says there are “generally speaking three types of division” — cost, profit and investment. The 2027 syllabus names four, adding the revenue centre (section 3). Section 3.1 below is the complete list.

Notice two. The lecture uses dollars and pounds interchangeably (“$500,000” in one sentence, “£100,000” in the next). The chapter and the examination are in dollars throughout.

Notice three. Nothing on the tape covers section 5 (budgets and performance evaluation) or section 6 (reporting and data analytics). Both have to be read from the notes.

YouTube video

2.1 What makes a division

Having a branch office does not make an organisation divisionalised. What does is autonomy — the manager can take decisions without asking head office first, and runs that part of the business much as though it were a separate company.

Divisions are usually organised by product line, customer type or geographical location. Head office keeps strategy, the allocation of capital, and the design of the performance measurement system; everything else is delegated.

2.2 Advantages of divisionalisation

  • Decisions are taken by the people closest to the market, the product or the customer, who know more about them than head office does.

  • Decisions are taken faster, because they do not queue for head-office approval.

  • Divisional managers are more motivated: they are appraised on factors they largely control, and they are running something of their own.

  • It develops general managers, because a divisional manager has to take the whole range of decisions rather than one function's.

  • Objectives become clearer and narrower — one division rather than the whole group.

  • Divisional results can be compared with each other and with the plan.

2.3 Problems of divisionalisation

  • Loss of central control, and difficulty in co-ordinating divisions whose decisions affect each other.

  • Dysfunctional decisions — a manager doing what is best for the division may do what is worst for the group. This is the goal congruence problem, and it runs through sections 5, 7 and 8, and through the whole of chapter 6.

  • Where divisions trade with each other a transfer price has to be set (chapter 6).

  • Duplication of activities that could have been carried out once centrally.

  • Comparison between divisions can be unfair — different markets, different asset ages, different degrees of central support — and unfair comparison demotivates.

3 Responsibility centres

A responsibility centre is a unit of an organisation whose manager is accountable for a specified set of results. The 2027 syllabus names four types, and they differ in exactly one respect: how much the manager controls.

The four responsibility centres — what the manager controlscost vs flexed budgetCost centrecosts onlyrevenue vs budgetRevenue centrerevenue, selling costscontrollable profitProfit centrecosts and revenueROI · RI · EVAInvestment centre+ capital investmentIncreasing autonomy of the divisional manager

3.1 The four types, their objectives and their measures

Centre

The manager controls

Objective of the centre

Appropriate measures

Cost centre

Costs only. Output is set elsewhere, and so are selling prices.

Deliver the required output, to the required standard, at the lowest cost.

Total controllable cost against the flexed budget · cost per unit, per employee or per patient-day · material cost as a % of total cost · % of output meeting the quality standard

Revenue centre

Sales revenue, and the selling costs incurred in earning it. Not the cost of what is sold.

Maximise sales revenue from the resources allocated to the centre.

Revenue against budget · growth on the same period last year · market share · revenue per salesperson, per store or per customer · sales mix against plan · enquiry-to-order conversion rate

Profit centre

Costs and revenues, so also the trade-off between them (price, mix, discounting).

Maximise profit from the resources made available to the centre.

Controllable profit against the flexed budget · gross and operating margin · contribution per unit of the limiting factor · sales growth

Investment centre

Costs, revenues and capital investment.

Earn a return on the capital employed that exceeds the group's required return.

Return on investment · residual income · economic value added · asset turnover — plus every profit-centre measure

Two consequences follow from the table and both are examined.

  1. A revenue centre is not a profit centre. Its manager can raise revenue by discounting, and revenue will rise while profit falls. A revenue centre must therefore always be measured on revenue and on the selling costs of earning it, and usually on mix as well, or the measure invites exactly the wrong behaviour.

  2. Only an investment centre is measured on a return. Applying return on investment to a profit centre punishes a manager for assets they did not choose.

For each of the four types of responsibility centre, state the objective of the centre and suggest two or three performance measures that would be appropriate for its manager.

  1. Cost centre

  2. Revenue centre

  3. Profit centre

  4. Investment centre

Show answerHide answer

Every centre is measured on controllable factors only — see section 4.

Centre

Objective

Measures

Cost centre

Deliver the output required, to standard, at the lowest cost.

Total controllable cost against the flexed budget for the output actually achieved; cost per unit; material cost as a percentage of total cost; percentage of output meeting the quality standard.

Revenue centre

Maximise revenue from the resources allocated.

Revenue against budget and against the same period last year; market share; revenue per salesperson; sales mix against plan; controllable selling costs against budget (without which discounting looks like success).

Profit centre

Maximise profit from the resources made available.

Controllable profit against the flexed budget; operating margin; sales growth; contribution per unit of the limiting factor. Not return on investment — the manager did not choose the investment.

Investment centre

Earn a return on capital employed above the group's required return.

Return on investment, residual income and economic value added (sections 7, 8 and 10), together with all of the profit-centre measures.

The measures above are illustrations, not a list to be learned. What is being tested is the principle: match the measure to what the manager controls, and check what behaviour the measure would produce.

4 Controllability, cost variability and attributable costs

4.1 Controllable and uncontrollable costs and revenue

A cost or revenue is controllable by a manager if that manager can significantly influence it within the period being reported on. Everything else is uncontrollable by that manager — which does not mean it is uncontrollable by anybody.

The classic uncontrollable item in a divisional report is the apportioned head-office cost: a share of central salaries, group insurance or the group audit fee, charged out on a formula the divisional manager did not choose and cannot change. It must be shown, because it is a real cost of the group, but it must never be inside the figure on which the manager is appraised.

Do not confuse uncontrollable with unimportant. Depreciation on a machine the previous manager bought is uncontrollable by the present manager and it is still a genuine cost of the division. That is exactly why the divisional report in section 4.3 has more than one profit line.

4.2 Cost variability

Before any cost can be compared with a budget, its behaviour has to be known — how it responds to the level of activity:

Behaviour

What it does as output rises

Example

Variable

Rises in proportion to output; constant per unit.

Direct material

Fixed

Does not change over the relevant range; falls per unit.

Divisional manager's salary; factory rent

Semi-variable

Has a fixed element and a variable element.

Power; a maintenance contract with a call-out charge

Stepped fixed

Constant, then jumps at a threshold and is constant again.

Supervisors — one more is needed above a certain volume

This is not bookkeeping detail. It is the reason a division that produced 15% more than planned will have spent more than the budget, and why comparing the actual spend with the original budget tells nobody anything. Section 5.2 does the comparison properly.

4.3 Attributable costs and revenue, and the divisional report

A cost or revenue is attributable to a division if it would disappear were the division closed — whoever happens to control it. Attributable and controllable are different tests, and the difference gives the divisional performance report its structure:

Line

What it contains

What it measures

Revenue less controllable costs

Sales, and the costs the divisional manager can influence in the period.

Controllable profit — appraise the MANAGER on this line.

less costs attributable to the division but not controllable by the manager

Depreciation on assets bought before the manager arrived; the manager's own salary; committed lease costs; central costs incurred solely for this division.

Divisional (attributable) profit — appraise the DIVISION on this line.

less apportioned head-office costs

A formula share of costs that would continue if the division closed.

Net profit. Useful for the group's statutory reporting; useful for nothing else here.

Two questions, two lines

Should this manager be rewarded? Use controllable profit. Should the group keep this division? Use attributable profit — because closing it removes the attributable costs and revenues, and does not remove the apportioned ones.

The same distinction decides whether revenue belongs to a centre: revenue is attributable to a division if it would be lost were the division closed. A sale that would simply be picked up by the division next door is not.

5 Budgets and performance evaluation

A performance measure needs something to be measured against. For a responsibility centre that yardstick is normally the budget: the quantified plan for the centre for the period, agreed in advance.

5.1 What the budget does for a responsibility centre

  1. It sets the target — what the centre is expected to achieve, in the terms the centre is measured in (cost for a cost centre, revenue for a revenue centre, profit for a profit centre).

  2. It authorises — it tells the manager what may be spent, and therefore what autonomy actually amounts to in figures.

  3. It co-ordinates — one division's sales budget is another's production budget.

  4. It provides the control loop — actual results are compared with it, differences (variances) are reported, and the significant ones are investigated. That is management by exception.

  5. It motivates — but only if the target is seen as demanding and attainable, and only if the manager believes the comparison will be made fairly.

5.2 Fixed and flexed budgets

The budget set before the period began is the fixed budget — fixed in the sense that it was drawn up for one particular level of activity, not in the sense that its costs are fixed costs. If the centre ends up operating at a different level, comparing actual results with it mixes two quite different things: the fact that volume differed from plan, and the fact that spending per unit differed from plan.

The flexed budget separates them. It restates the budget for the activity level actually achieved — variable costs are re-costed at the budgeted rate per unit, fixed costs are left alone — and the comparison is then like with like:

Flexed budget cost = budgeted fixed cost + (budgeted variable cost per unit × actual units)

The Vilnius division of Arcania plc is a cost centre. Its budget for the quarter was prepared for an output of 10,000 units; actual output was 11,500 units.

Fixed budget (10,000 units) $

Actual (11,500 units) $

Direct materials

60,000

71,300

Direct labour

90,000

100,050

Variable production overhead

30,000

35,650

Divisional fixed overhead

48,000

49,200

Apportioned head-office costs

25,000

26,000

Total

253,000

282,200

Direct materials, direct labour and variable production overhead are wholly variable with output. The divisional fixed overhead and the head-office apportionment are fixed.

(a) Prepare a flexed budget and a variance report for the quarter, distinguishing clearly between costs the divisional manager controls and costs the manager does not.

(b) Comment on what the report shows.

Show answerHide answer

(a) Flexed budget and variance report

The three variable costs are flexed at the budgeted rate per unit — materials $6.00, labour $9.00, variable overhead $3.00 — and multiplied by the 11,500 units actually made. Neither fixed cost is flexed. A = adverse, F = favourable.

Flexed budget (11,500 units) $

Actual $

Variance $

Direct materials

69,000

71,300

2,300 A

Direct labour

103,500

100,050

3,450 F

Variable production overhead

34,500

35,650

1,150 A

Divisional fixed overhead

48,000

49,200

1,200 A

Controllable cost

255,000

256,200

1,200 A

Apportioned head-office costs

25,000

26,000

1,000 A

Total cost

280,000

282,200

2,200 A

(b) Comment

  • Against the fixed budget the division appears to have overspent by $29,200 ($282,200 − $253,000). That figure is meaningless: output was 15% above plan, so the variable costs had to be higher. Almost all of the $29,200 is volume.

  • On the flexed comparison the controllable overspend is $1,200 — under half of one per cent of a $255,000 controllable budget. On the face of it the manager has controlled costs well at a higher level of output.

  • The materials and labour variances point in opposite directions and are close in size ($2,300 A and $3,450 F). That is the classic signature of a linked pair — a cheaper grade of labour or material substituted, saving on one line and causing waste or rework on the other. They should be investigated together, never separately.

  • The $1,200 adverse on divisional fixed overhead is a genuine spending variance and is controllable; it is not explained by the extra volume.

  • The $1,000 adverse on apportioned head-office costs is not the manager's. It arises from central spending and a central apportionment formula. It belongs in the report on the division and must be excluded from the appraisal of the manager (section 4.3).

5.3 What the report contains for each type of centre

Centre

The budget report compares

Watch for

Cost centre

Actual cost against the cost budget flexed to actual output.

Flexing. An unflexed comparison rewards under-production.

Revenue centre

Actual revenue and selling costs against budget, by product and market.

Mix and discount: revenue can be bought.

Profit centre

Actual controllable profit against the flexed profit budget.

Whether the sales volume variance is the manager's or the market's.

Investment centre

All of the above, plus the return earned on the capital employed.

Whether new investment approved this year is being judged on this year's return.

5.4 Best practice in budget-based evaluation

  1. Flex before you compare. Section 5.2.

  2. Apply the controllability principle. Report uncontrollable items, but outside the line the manager is judged on.

  3. Let managers participate in setting their own budgets. Participation improves the quality of the estimate — the manager knows the division — and improves acceptance of the target. Its cost is budgetary slack (section 5.5).

  4. Make the target demanding but attainable. A target believed to be impossible is not a target; it is an excuse to stop trying.

  5. Use more than one measure. A budget is a financial yardstick and financial yardsticks are backward-looking. Pair them with non-financial indicators (chapter 8).

  6. Re-budget when the world moves. Rolling budgets, updated each quarter for the following four quarters, keep the yardstick current in a volatile market. The cost is the budgeting effort itself.

  7. Separate the uses. The same figure cannot always be the best plan, the best forecast and the fairest basis for a bonus.

5.5 Behavioural consequences

Because the budget is the yardstick for reward, managers manage the yardstick as well as the business:

Behaviour

What happens

What reduces it

Budgetary slack

The manager negotiates an easy target — overstating costs, understating revenue — so that the variance is favourable whatever happens.

Independent review of the estimates; comparison across divisions and with prior periods; rewarding the accuracy of the forecast, not only the outcome.

Gaming and short-termism

Discretionary spending — training, maintenance, research, advertising — is cut to hit this period's number, at the cost of later periods. Sales are pulled forward or pushed back across the year end.

Non-financial and lead indicators; multi-period targets; reporting the level of discretionary spend separately.

Budget-constrained evaluation style

Where a manager is judged rigidly on meeting the budget short-term, tension and manipulation rise and co-operation between divisions falls.

A profit-conscious style: the budget is one input to a rounded judgement about long-run effectiveness, not a pass mark.

Dysfunctional decisions

The manager takes the decision that improves the measure rather than the decision that is best for the group — see sections 7 and 8, and the whole of chapter 6.

Choose a measure whose optimum for the division is also the optimum for the group.

6 Reporting and data analytics for responsibility centres

Section 5 assumed a periodic report — a table of budget, actual and variance, arriving after the period has closed. That is still the core of responsibility accounting, but it is no longer the whole of it, and the syllabus asks how divisional managers use analytics, visualisation and self-service technologies to manage performance.

6.1 What a responsibility-centre report is for

A report exists to support a decision. If nothing a manager could decide would change because of a line in the report, that line is costing money and buying nothing. Three tests apply to every line: is it controllable by the person receiving it, is it timely enough to act on, and is it material enough to be worth acting on?

6.2 Four kinds of analytics

Kind

The question it answers

In a responsibility centre

Descriptive

What happened?

The variance report itself: actual against flexed budget for the period.

Diagnostic

Why did it happen?

Drilling from a divisional cost variance to product, shift, machine, supplier or customer to find where the variance actually arose.

Predictive

What is likely to happen?

Forecasting the out-turn for the year from part-year data; flagging the customers most likely to leave, or the maintenance most likely to be needed.

Prescriptive

What should we do?

Optimising the production schedule, the delivery route or the discount offered, given the constraints — and quantifying the effect on the centre's own measure.

The progression matters for performance management: descriptive analytics tells a manager the period was bad, and only diagnostic and predictive analytics let the manager do something about the next one.

6.3 Visualisation and dashboards

A dashboard presents a small number of measures for a responsibility centre visually and continuously, rather than as a monthly table. Well designed, it does three things a printed variance report cannot:

  • Exception first. Measures outside tolerance are highlighted, so attention goes where management by exception says it should.

  • Drill-down. A divisional total can be opened up to the branch, product or customer behind it during the conversation, rather than in a request that takes a week.

  • Trend, not point. A twelve-month line shows the direction of travel; a single month's variance does not.

The risks are real and examinable. A dashboard shows what is easy to measure, which is not always what matters; a chart drawn on a truncated axis exaggerates; and a screen refreshed hourly invites managers to react to noise. The remedy is to fix a tolerance before looking, and to keep the number of measures small.

6.4 Self-service and what it changes

With self-service reporting tools the divisional manager queries the data directly instead of asking the finance function for an analysis. That shortens the loop from days to minutes and frees the finance function from producing routine reports. It also moves two things into the manager's hands that used to sit with finance:

  1. Definition. If two divisions each build their own “gross margin”, the figures will not be comparable. Self-service needs a governed set of agreed definitions behind it, or divisional comparison quietly stops meaning anything.

  2. Interpretation. The finance function's role shifts from preparing the numbers to challenging them — and to guaranteeing the integrity of the data underneath. Where that data comes from, and how its integrity is assured, is dealt with in chapter 18.

Analytics changes what can be measured; it does not change any of the principles in sections 4 and 5. A real-time dashboard built on uncontrollable costs is still an unfair appraisal, and a beautifully visualised comparison against an unflexed budget is still the wrong comparison.

Chapter 8 takes the reporting half of this further: which non-financial indicators belong on the dashboard, and how the balanced scorecard organises them.

7 Investment centres and return on investment

An investment centre's manager decides how much capital the centre employs. Measuring such a manager on profit alone is useless: an extra $10,000 of annual profit is good news if it came from $40,000 of new investment and bad news if it came from $10m. The measure has to relate profit to the capital used.

The first of the two measures is return on investment (ROI), also met as return on capital employed:

ROI = (Controllable divisional profit ÷ Divisional capital employed) × 100%

  • Quoted as a percentage, which is why it is the more popular of the two with managers.

  • Use annual profit. If the data is monthly or quarterly, annualise it first.

  • Use controllable profit and controllable capital employed — the same principle as section 4.3, applied to both halves of the fraction.

Arcania plc has divisions throughout the Baltic States. The Ventspils division is currently making a profit of $82,000 a year on an investment of $500,000. Arcania has a target return of 15% (its weighted average cost of capital).

The manager of Ventspils is considering a new investment which will require additional investment of $100,000 and will generate additional profit of $17,000 each year. The investment will also enhance the product and improve brand reputation in the market.

(a) Calculate whether the new investment is attractive to the company as a whole.

(b) Calculate the ROI of the division with and without the new investment, and hence determine whether the manager would decide to accept it.

Show answerHide answer

(a) For the company

Return from the new project = $17,000 ÷ $100,000 = 17%.

17% > 15% target, so the company wants the investment to be made.

(b) For the division

Working

ROI

ROI without the project

82,000 / 500,000

16.4%

ROI with the project

(82,000 + 17,000) / (500,000 + 100,000) = 99,000 / 600,000

16.5%

The divisional ROI rises from 16.4% to 16.5%, so the manager is motivated to accept — which is what the company wanted. The decision is goal congruent.

So far so good. Now change one figure.

The circumstances are the same as in Example 3, except that this time the manager of the Ventspils division is considering a commercially worthwhile investment that will cost $100,000 and will give additional profit of $16,000 a year.

(a) Calculate whether the new investment is attractive to the company as a whole.

(b) Calculate the ROI of the division with and without the new investment, and hence determine whether the manager would decide to accept it.

Show answerHide answer

(a) For the company

Return from the new project = $16,000 ÷ $100,000 = 16%.

16% > 15% target, so the company again wants the investment to be made.

(b) For the division

Working

ROI

ROI without the project

82,000 / 500,000

16.4%

ROI with the project

(82,000 + 16,000) / (500,000 + 100,000) = 98,000 / 600,000

16.3%

The divisional ROI falls from 16.4% to 16.3%, so the manager rejects a project the company wants. The decision is not goal congruent.

The problem is structural, not arithmetical, and it runs both ways. A division already earning above the target rejects anything below its own current ROI, even where that is comfortably above the group's 15%. A division earning below the target accepts anything above its own current ROI, even where that is below the group's 15% — so a division at 13% will happily take a project yielding 14%, which the group does not want.

And the group cannot simply overrule the manager: taking the decision back is taking back the autonomy that made it a division in the first place.

8 Residual income

Residual income (RI) measures the same thing in absolute money rather than as a percentage. The profit is charged with a notional — imputed, not actually invoiced — interest cost on the capital employed, normally at the group's cost of capital:

Residual income = Controllable divisional profit − (Cost of capital × Divisional capital employed)

Whatever is left is the residual income. If it rises the manager has performed well; if it falls, badly.

Repeat Examples 3 and 4, but in each case assume that the manager is assessed on residual income, and that it is therefore residual income that determines how the decision is made.

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(1) The circumstances of Example 3 (additional profit $17,000)

Without the project $

With the project $

Profit

82,000

99,000

Notional interest at 15%

(75,000)

(90,000)

Residual income

7,000

9,000

Interest is 15% × $500,000 and 15% × $600,000. Residual income rises from $7,000 to $9,000, so the manager accepts.

(2) The circumstances of Example 4 (additional profit $16,000)

Without the project $

With the project $

Profit

82,000

98,000

Notional interest at 15%

(75,000)

(90,000)

Residual income

7,000

8,000

Residual income rises from $7,000 to $8,000, so this time the manager accepts as well.

In both cases the decision is goal congruent, and that is not a coincidence. Residual income rises for any project earning more than the notional interest rate, which is the group's own required return — so a manager maximising residual income automatically accepts exactly the projects the group wants and rejects exactly those it does not.

9 Return on investment compared with residual income

Return on investment

Residual income

Form

A percentage.

An absolute money amount.

Goal congruence

Can fail in both directions (Example 4 and the pitfall above).

Accepts any project earning above the cost of capital, which is what the group wants.

Comparing divisions of different sizes

Works — a percentage is size-neutral.

Does not. A bigger division reports a bigger residual income for no better management.

Familiarity

Immediately understood; the same idea as return on capital employed, which is how shareholders often judge the group.

Less familiar, and the notional interest charge takes explaining.

Risk

One rate for everything.

A different notional rate can be applied to divisions of different risk.

Two criticisms apply to both measures, and both follow from their being accounting measures:

  1. They favour divisions with older assets. Accumulated depreciation reduces the carrying amount of the capital employed, so the denominator shrinks year by year and the measure improves for no better performance. A manager can also improve the measure by not replacing assets — which is the same short-termism as section 5.5.

  2. They are based on profit, not cash. Both are therefore affected by the choice of accounting policies and by estimates such as depreciation, provisions and the treatment of development expenditure. That is precisely the criticism economic value added sets out to answer.

10 Economic value added

The second recording covers this section, and works Example 6 in full.

Notice one. The tutor works in dollars but says “£10 million” and “£11 million” for the research figures. The question is in dollars.

Notice two. Two spoken figures to correct: the closing economic value added for the earlier year is $59.85m, as the answer below shows; and where the opening capital employed for the later year is described as “the capital employed at the end of the previous year, 2014”, the previous year is meant. Neither affects the method, which is right throughout.

YouTube video

Economic value added (EVA) is a trade-marked measure developed by Stern Stewart & Co. It is residual income with two refinements: the profit is adjusted to bring it closer to a cash, economic figure, and the capital charge uses the weighted average cost of capital applied to a similarly adjusted capital employed.

EVA = NOPAT − (WACC × Adjusted capital employed)

where NOPAT is the adjusted net operating profit after tax and the capital employed is the opening figure for the year — on the reasoning that it was the assets in place at the start of the year that earned the year's profit.

The principle is that a business creates value only if its profit exceeds the minimum return that its shareholders and lenders could have obtained elsewhere on investments of comparable risk. EVA also gives one consistent language — value added to the investors' capital — in which every management decision can be modelled, monitored, communicated and rewarded.

EVA starts from operating profit. Under IFRS 18, effective for periods beginning on or after 1 January 2027, operating is the residual category; operating profit is the total of that category and is a defined, required subtotal. The starting figure is therefore comparable between companies in a way it was not before — though the adjustments below are still needed, because they are deliberately non-accounting.

10.1 The adjustments

Add back to profit

Why

Expenditure on building for the future — research, marketing, staff training

It is an investment in future earnings, not a cost of this year. Add it back to profit, and add it to capital employed as though it had been capitalised.

Non-cash expenses

To move the profit towards a cash figure.

Provisions

Accounting estimates, not cash costs of the period.

Goodwill previously written off

The amount paid was an investment; put it back.

Depreciation charged in the accounts, replaced by economic depreciation

Economic depreciation is the fall in the value of the asset to the business over the year. You will not be asked to calculate it; where it is not given, assume it equals the book charge, so there is no net adjustment.

Interest on debt capital, net of tax relief

The cost of debt is charged separately through the WACC, so it must not be charged twice. Add back the interest × (1 − tax rate).

The corresponding adjustments to capital employed are to add non-capitalised leases, the research and similar expenditure now treated as capitalised, goodwill previously written off, and provisions — and to treat debt as part of capital employed.

Two habits will get the arithmetic right. Take the opening capital employed, and then adjust it for the events of the previous year, because those are the events that changed the closing figure you are starting from. And put the interest add-back in after tax — interest × (1 − t) — not gross.

10.2 The weighted average cost of capital

WACC = (ke × We) + (kd × (1 − t) × Wd)

The cost of debt attracts tax relief, so it enters the average net of tax; the weights are the target capital structure, not necessarily the actual one.

Extracts from the accounts of Value Co are as follows.

Statements of profit or loss

2027 $m

2026 $m

Revenue

608

520

Pre-tax accounting profit (note 1)

134

108

Taxation

(46)

(37)

Profit after tax

88

71

Dividends

(29)

(24)

Retained earnings

59

47

Statements of financial position

2027 $m

2026 $m

Non-current assets

250

192

Net current assets

256

208

506

400

Financed by: shareholders' funds

380

312

Medium and long-term bank loans

126

88

506

400

Notes

  1. The pre-tax accounting profit is after deduction of the economic depreciation of the company's non-current assets. This is also the depreciation used for tax purposes.

  2. Capital employed at the end of 2025 amounted to $350m.

  3. Value Co had non-capitalised leases valued at $16m in each of the years 2025 to 2027. The leases are not subject to amortisation.

  4. Value Co's pre-tax cost of debt was estimated to be 9% in 2026 and 10% in 2027.

  5. Value Co's cost of equity was estimated to be 15% in 2026 and 17% in 2027.

  6. The target capital structure is 70% equity and 30% debt.

  7. The rate of taxation is 30% in both years.

  8. Economic depreciation amounted to $64m in 2026 and $72m in 2027. These amounts were equal to the depreciation used for tax purposes and the depreciation charged in the statements of profit or loss.

  9. Interest payable amounted to $6m in 2026 and $8m in 2027.

  10. Other non-cash expenses amounted to $20m in 2026 and $15m in 2027.

  11. Research and development expenditure on a new project started in 2026 and written off was $10m in 2026 and $11m in 2027.

Calculate the economic value added in each of 2027 and 2026.

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Step 1 — adjusted profit

2027 $m

2026 $m

Profit after tax

88

71

Non-cash expenses (note 10)

15

20

Research and development (note 11)

11

10

Interest after tax: 0.7 × 8; 0.7 × 6

5.6

4.2

Adjusted profit (NOPAT)

119.6

105.2

No depreciation adjustment is made: note 8 says the economic depreciation is the amount already charged.

Step 2 — adjusted opening capital employed

2027 $m

2026 $m

Capital employed at the start of the year

400

350

Non-cash expenses of the previous year

20

—

Research and development of the previous year

10

—

Non-capitalised leases

16

16

Adjusted capital employed

446

366

The 2027 column starts from the closing capital employed of 2026 ($400m) and is adjusted for what happened in 2026 — non-cash expenses of $20m and research of $10m. There was no research expenditure before 2026 (note 11), and no non-cash expense is given for 2025, so the 2026 column carries only the lease adjustment.

Step 3 — weighted average cost of capital

  • 2026: (15% × 0.7) + (9% × 0.7 × 0.3) = 10.50% + 1.89% = 12.39%

  • 2027: (17% × 0.7) + (10% × 0.7 × 0.3) = 11.90% + 2.10% = 14.00%

Step 4 — economic value added

  • 2026: 105.2 − (366 × 0.1239) = 105.2 − 45.35 = $59.85m

  • 2027: 119.6 − (446 × 0.1400) = 119.6 − 62.44 = $57.16m

Value Co added value in both years — in each case it earned more than its investors required — but the amount added fell by $2.69m. The adjusted profit rose by $14.4m; the charge for capital rose by $17.1m, because both the capital employed and the cost of capital increased. Growth financed at a rising cost of capital can destroy value even while profit rises, and that is exactly what EVA is designed to reveal.

10.3 Problems with EVA

  • It is an absolute measure, so it suffers the same comparison problem as residual income: a large division reports a large EVA.

  • It can still encourage short-termism, because the capital charge falls on investment made now and the returns arrive later.

  • Economic depreciation is difficult to calculate and departs from generally accepted accounting principles, so the figures are not the audited ones.

  • The adjustments are numerous and to a degree arbitrary; two analysts can produce two EVAs for the same company.

  • Like every financial measure it ignores what is not in the financial statements — brand, capability, customer satisfaction. Chapter 8 addresses that.

Responsibility centres come in four types — cost, revenue, profit and investment — and each is measured only on what its manager controls. A cost or revenue is controllable if the manager can influence it and attributable if it would disappear with the division; appraise the manager on controllable profit and the division on attributable profit. The budget is the yardstick, but only once it has been flexed to the activity actually achieved — and it will be managed as well as met, so watch for slack and short-termism. For an investment centre, ROI is a percentage that can produce dysfunctional decisions in both directions; RI is an absolute figure that cannot; EVA is RI with the profit and the capital adjusted towards economic reality and charged at the WACC.

11 Test your knowledge

Two quick checks before you move on: work through the flashcards to fix this chapter’s key terms and definitions, then sit the objective questions for exam-style practice. Both mark themselves and explain the answers as you go.

Practice questions

Divisional Performance Measurement

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