Performance Management
Variances, responsibility accounting, transfer pricing, divisional measures and standard costs. This section is 20% of the Part 1 exam and the most calculation-heavy part of it. Learn the mechanics until they are automatic, then spend your time on interpretation: which manager is responsible, whether a measure drives the right decision, and what a favorable variance can hide.
About 20 of the 100 multiple-choice questions, and a frequent essay topic. Estimated study time: 30 hours.
Your learning path
Five topics in the IMA outline order. Topic 1 carries most of the calculations.
- F / U describes the effect on operating income: higher cost or lower revenue than standard is unfavorable. Amounts are shown positive with F or U.
- Overhead names follow the CMA outline: variable overhead spending and efficiency; fixed overhead spending (budget) and production-volume.
- Sales volume, mix and quantity variances are valued at budgeted contribution margin per unit unless a question says otherwise.
- Formulas marked with an amber convention tag have more than one textbook version; the tag says which one the exam uses.
Cost & variance measures
Split the gap between budget and actual into effects you can act on: volume, price and efficiency. The exam tests both the arithmetic and who is accountable for each piece.
Static vs flexible budgetsSeparate the volume effect before analyzing efficiency
A static budget is prepared for one planned level of output. Comparing actual results with it mixes two stories: you sold a different volume, and you earned or spent differently per unit. A flexible budget restates the budget at the actual volume using budgeted prices and costs per unit, so the two stories separate cleanly.
- AQ
- actual units sold
- BP, BVC
- budgeted price and variable cost per unit
Together they make up the static-budget variance. The flexible-budget variance is the sum of every price, efficiency and spending variance below.
flowchart TD S[Static budget variance] --> V[Sales-volume variance] S --> FB[Flexible-budget variance] V --> MX[Sales mix variance] V --> QT[Sales quantity variance] FB --> SP[Selling-price variance] FB --> DM[Materials: price + usage] FB --> DL[Labor: rate + efficiency] FB --> OH[Overhead: spending + efficiency + volume] DM --> MY[Usage = mix + yield]
Brightwell Lamps: static vs flexible budget
Budget: 10,000 lamps at $60, variable cost $36 per lamp, fixed costs $150,000. Actual: 11,000 lamps sold for $649,000; variable costs $407,000; fixed costs $154,000. Explain the $2,000 shortfall against the static budget.
Direct materialsPrice variance at purchase, usage variance in production
Every input variance uses the same three columns: actual quantity at actual price, actual quantity at standard price, and the standard quantity allowed for actual output at standard price. Moving across one column at a time changes one thing, so each variance has a single cause.
Positive result on a cost = U. Usually owned by purchasing.
- SQ
- standard quantity per unit × actual units produced
Labor: replace price with rate and quantity with hours. Variable overhead: rate becomes the standard VOH rate.
Point of recognition
- Most firms isolate the price variance when materials are purchased, using the quantity purchased. Inventory is then carried at standard price.
- The usage variance always uses the quantity used. When purchases ≠ usage, the two variances do not add up to a single "total".
- Price variance owners: purchasing (supplier choice, order size, freight). Usage variance owners: production (waste, spoilage, machine settings).
Coldbrook Valves: purchases differ from usage
Standard: 2 kg per valve at $7.20/kg. In April Coldbrook bought 12,000 kg for $88,800 ($7.40/kg), used 9,800 kg and produced 4,700 valves. The price variance is recognized at purchase.
Direct laborRate versus efficiency, and cross-functional causes
AH = actual hours paid; AR = actual rate = payroll ÷ AH.
SH = standard hours per unit × actual output. Always priced at the standard rate.
- Rate variances come from overtime premiums, a different skill mix than planned, or wage settlements. HR and the production supervisor who schedules crews usually share them.
- Efficiency variances come from training, machine downtime, poor scheduling, or poor-quality materials. A cheap material purchase can show up here as extra hours.
- A favorable rate variance paired with an unfavorable efficiency variance often means less-skilled (cheaper, slower) workers were used.
Harlow Print: higher wages, fewer hours
Standard: 2.5 hours per job at $24.00. Harlow completed 800 jobs using 1,950 hours; payroll was $47,775 ($24.50 per hour).
Variable and fixed overheadSpending, efficiency, production-volume; 4-, 3- and 2-way analysis
Variable overhead behaves like labor: it is applied on an activity base (direct labor or machine hours), so it has a spending (rate) and an efficiency (quantity) variance. Fixed overhead does not change with activity, so it has a spending variance and a production-volume variance, and no efficiency variance.
SVOR = standard variable overhead rate per unit of the allocation base.
SFOR = budgeted FOH ÷ denominator level. Volume = (denominator − SH) × SFOR.
| Analysis | Variances reported | Use |
|---|---|---|
| 4-way | VOH spending · VOH efficiency · FOH spending · production-volume | Full detail when VOH and FOH actuals are known separately |
| 3-way | Spending (VOH + FOH) · efficiency (VOH) · production-volume | When only total actual overhead is known |
| 2-way | Flexible-budget, also called controllable (VOH spending + VOH efficiency + FOH spending) · production-volume | Separates what managers control from capacity utilization |
| 1-way | Total = actual overhead − overhead applied (SH × total standard rate) | Equals under- or over-applied overhead |
Torvik Tools: 4-, 3- and 2-way overhead analysis
Budget at a 10,000 DLH denominator: variable overhead $3 per DLH; fixed overhead $50,000 ($5 per DLH). Standard: 2 DLH per unit. Actual: 4,800 units, 9,800 DLH worked, variable overhead $30,380, fixed overhead $51,000.
Sales variances: price, volume, mix and quantityWhy contribution margin differed from budget
Revenue-side variances explain why contribution margin differed from the static budget. Price effects use actual units; volume, mix and quantity effects use budgeted contribution margin per unit so that price is never counted twice.
Revenue variance: a positive result is favorable.
CMA convention: budgeted contribution margin per unit, not selling price.
- BMi
- budgeted mix share of product i
- BCMi
- budgeted contribution margin per unit of product i
\(\overline{BCM}\) = budgeted weighted-average contribution margin per unit. Mix + quantity = volume.
AI/BI = actual/budgeted industry units; AS/BS = actual/budgeted market share. Size + share = quantity variance.
Halvorsen Audio: sales mix and quantity variances
Halvorsen sells two speakers. Budget for Q3: Standard 6,000 units at $50 (CM $20/unit) and Premium 4,000 units at $110 (CM $45/unit). Actual Q3: Standard 7,700 units at $48 and Premium 3,300 units at $114. Analyze the sales variances on a contribution-margin basis.
Materials mix and yieldSplitting the usage variance when inputs can be substituted
When inputs can be substituted (chemicals, food ingredients, a mix of labor grades), the usage variance splits into a mix variance (a different proportion of inputs) and a yield variance (more or less total input than standard for the output achieved).
SMi = standard mix proportion of input i.
\(\overline{SP}\) = weighted-average standard price per unit of input at standard mix. Mix + yield = usage.
Orchard Press: juice blend mix and yield
Standard blend: 70% apple juice at $1.00/L and 30% mango at $3.00/L; 100 L of input yields 90 L of drink. Orchard produced 18,000 L using 13,600 L of apple and 6,800 L of mango.
Who owns which variance
| Variance | Usually responsible | Typical causes |
|---|---|---|
| Material price | Purchasing | Supplier choice, order size, rush freight, market prices |
| Material usage / mix / yield | Production | Waste, spoilage, recipe changes, poor-quality input |
| Labor rate | HR, production supervisor | Overtime, skill mix, wage settlements |
| Labor efficiency | Production | Training, downtime, scheduling, poor material |
| VOH spending | Department managers | Utility and supply prices, wasteful use |
| Production-volume | Senior management, sales | Demand, capacity decisions; not cost control |
| Sales price, mix, share | Sales and marketing | Discounting, promotion mix, competitor action |
Finished Cost & variance measures?
Mark it complete once you can compute and label every variance above without notes.
Responsibility centers & reporting segments
Hold each manager accountable for what that manager can significantly influence, and report segments so that their real economic contribution is visible.
The four responsibility centersWhat each manager controls and how each is measured
Controllability is the organizing rule. A manager should be evaluated on revenues, costs and assets that the manager can significantly influence. It does not require complete control; shared influence is normal.
| Center | Manager controls | Evaluated on | Example |
|---|---|---|---|
| Cost (engineered) | Costs, with clear input–output links | Flexible-budget cost variances, quality | Assembly line, plant |
| Cost (discretionary) | Costs without measurable output | Staying within budget, quality of service | R&D, HR, legal |
| Revenue | Revenue and own selling costs | Sales price, volume, mix and share variances | Regional sales office |
| Profit | Revenues and costs | Contribution and controllable margin | Product line, store |
| Investment | Revenues, costs and invested capital | ROI, residual income, EVA | Autonomous division |
Contribution-format segment reportingEvaluate the manager on controllable margin, the segment on segment margin
Common costs are shown once, at company level, not allocated to segments.
- Controllable margin evaluates the manager: it subtracts only fixed costs the manager can change (local staff, local advertising).
- Segment margin evaluates the segment: it also subtracts fixed costs traceable to the segment but decided elsewhere (equipment depreciation, the segment manager's salary).
- A traceable cost disappears if the segment is dropped (over the relevant horizon). A common cost remains.
Division West: keep or drop?
Division West reports sales of $800,000, variable costs of $500,000, fixed costs controlled by the division manager of $120,000, other fixed costs traceable to West (equipment depreciation decided by head office) of $80,000, and an allocation of corporate headquarters costs of $150,000. The internal report shows a $50,000 loss.
Allocating common and shared costsAllocation bases, stand-alone vs incremental, budgeted rates
Companies still allocate shared costs (IT, a warehouse, headquarters) to price products, to make managers aware that the services are not free, and to discourage overuse. The basis matters, and so does whether managers can influence the result.
- Cause and effect (cost drivers) is the preferred basis; benefits received is next; ability to bear (e.g. sales dollars) is the weakest and penalises successful segments.
- Budgeted, not actual, rates: charging users actual service costs passes the service department's inefficiency on to them.
- Dual-rate: charge fixed service costs as a lump sum based on capacity reserved, and variable costs on actual usage, so one user's usage does not shift fixed cost onto another.
Seen as fair: every user shares the saving from cooperating.
Users are ranked; later users pay only the incremental cost. Users argue to be ranked last.
Shared IT platform: stand-alone vs incremental
A shared e-commerce platform costs $300,000 a year. On its own, the Retail division would need a $240,000 system and the Wholesale division a $120,000 system. Retail is the primary user.
Finished Responsibility centers?
Mark it complete when you can pick the right center and margin for any manager.
Transfer pricing
A transfer price splits one company's profit between two divisions. A good policy keeps divisional autonomy, evaluates managers fairly, and still leads to the decision that maximizes company profit.
The general rule: minimum and maximumIdle, partial and full capacity
Opportunity cost = contribution margin lost on external sales displaced by the transfer.
A transfer helps the company whenever \(TP_{min} \le TP_{max}\).
- Idle capacity: nothing is displaced, so the minimum is the seller's incremental (usually variable) cost, less any costs avoided on internal sales.
- Full capacity: each unit transferred displaces an outside sale, so the minimum is the market price less costs avoided internally.
- Partial capacity: only units beyond the idle capacity carry an opportunity cost, so the minimum per unit is a weighted average.
Full capacity: the negotiation range
The selling division's variable cost is $38. It operates at full capacity and sells everything outside at $50. The buying division can buy an equivalent part outside for $55 and wants 5,000 units.
Idle versus full capacity, with a cost avoided internally
Division S makes a part with variable cost $30 per unit, which includes $2 of selling cost not incurred on internal transfers. S sells the part outside for $50. Division B needs 5,000 parts and can buy them outside for $46.
Methods comparedMarket, cost-based, negotiated and dual pricing
| Method | Strength | Weakness | Best when |
|---|---|---|---|
| Market-based | Objective; reflects opportunity cost; preserves autonomy | No market, distress prices, ignores idle-capacity benefit | A competitive outside market exists |
| Variable cost | Gives the right short-run company decision | Seller earns nothing on transfers; no incentive | Seller has idle capacity |
| Full cost (plus markup) | Simple; seller recovers fixed costs | Buyer treats seller's fixed cost as variable; actual cost passes on inefficiency | Long-run supply contracts at standard cost |
| Negotiated | Autonomy; both divisions can gain | Time-consuming; reflects bargaining power; may need arbitration | Managers have good information and an outside option |
| Dual pricing | Both divisions motivated to transfer | Divisional profits exceed company profit; must be eliminated; weak cost pressure | Transfers are strategically important |
Multinational transfer pricingIncome taxes, import duties and the arm's-length standard
- The company goal is maximum total after-tax profit, not one division's result.
- A higher transfer price moves taxable income to the selling country but raises any import duty, which is levied on the transfer price.
- Tax authorities require an arm's-length price (US IRC §482; OECD guidelines), supported by documentation. Prices outside the acceptable range invite adjustments and penalties.
- Currency controls, repatriation limits, political risk and local minority shareholders also shape the policy.
- Cs, Cb
- seller's cost; buyer's other costs per unit
- R
- buyer's resale price
- ts, tb, d
- seller tax rate, buyer tax rate, import duty rate on TP
US maker, overseas distributor
A US division (tax 25%) makes a product for $40 and ships 10,000 units to a foreign subsidiary (tax 35%). The subsidiary pays a 10% import duty on the transfer price (deductible for its income tax), incurs $5 of other cost per unit, and resells at $100. Both $60 and $80 fall inside the arm's-length range. Which price maximizes company after-tax profit?
Finished Transfer pricing?
Mark it complete when you can find the range at idle, partial and full capacity.
Performance measures
Choose measures that make managers do what is best for the company. Know each formula, then know how each one can mislead.
Product and customer profitabilityGross margin is not customer profit
Customers consume resources differently: order frequency, rush deliveries, returns, support calls. Customer profitability analysis assigns these cost-to-serve activities with activity-based rates. Ranking customers by profit usually produces a "whale curve": a minority of customers generate more than all the profit, and the least profitable customers destroy part of it.
Use revenue net of discounts and returns. Product-line profitability works the same way, with product-sustaining costs.
Which customer is really profitable?
Activity rates: $150 per order, $400 per rush delivery, $75 per support hour. Customer A: revenue $180,000, product cost $126,000, 120 orders, 30 rush deliveries, 40 support hours. Customer B: revenue $240,000, product cost $168,000, 400 orders, 60 rush deliveries, 100 support hours.
Return on investment (ROI)DuPont breakdown, asset-base choices, dysfunctional rejection
Raise ROI by raising margin, raising turnover, or both.
- Asset base choices: total assets, assets employed (excluding idle assets), net book value, or gross book value.
- Net book value makes ROI rise as assets age, rewarding managers who postpone replacing equipment. Gross book value removes this effect.
- Use average assets when income is earned over a period and the asset base changed during it.
ROI through two lenses
A division reports operating income of $240,000, sales of $2,000,000 and average operating assets of $1,500,000.
Residual income and EVADollar measures that charge for capital
Accept any project with positive incremental RI, i.e. a return above the required rate.
NOPAT = operating income × (1 − tax rate). WACC is an after-tax rate.
- RI fixes the ROI rejection problem: every project earning more than the hurdle rate raises RI.
- RI and EVA are absolute dollar amounts, so larger divisions show larger numbers. Do not rank different-sized divisions on them directly.
- EVA uses after-tax profit and the WACC, and may adjust accounting figures (e.g. capitalize R&D) to reflect economic reality.
ROI says no, RI says yes
A division earns $450,000 on invested capital of $2,000,000. The required return is 15%. A new project costs $500,000 and adds $90,000 of annual operating income.
Calculating EVA
A division has operating income of $900,000, a 25% tax rate, total assets of $6,000,000, current liabilities of $1,000,000 and a WACC of 9%.
Balanced scorecard, KPIs and CSFsFour linked perspectives that translate strategy into measures
Critical success factors are the few things the strategy must get right. The balanced scorecard turns them into KPIs across four perspectives, linked by cause and effect in a strategy map.
| Perspective | Question | Sample KPIs | Indicator type |
|---|---|---|---|
| Financial | How do shareholders see us? | ROI, RI, EVA, revenue growth, cash flow | Lagging |
| Customer | How do customers see us? | Market share, retention, satisfaction, on-time delivery | Mostly lagging |
| Internal business process | What must we excel at? | Cycle time, defect rate, yield, MCE, time to market | Leading |
| Learning and growth | Can we keep improving? | Training hours, skills coverage, staff turnover, system capability | Leading |
flowchart BT L[Learning & growth: trained staff, better systems] --> P[Internal process: shorter cycle time, fewer defects] P --> C[Customer: on-time delivery, retention] C --> F[Financial: revenue growth, ROI]
An internal-process KPI. Only processing time adds value; MCE of 1 means no waiting, moving or inspecting.
- Leading indicators predict future results (training, defects); lagging indicators report results already achieved (profit, ROI).
- Good KPIs are tied to strategy, few in number, a mix of financial and non-financial, controllable by the person evaluated, timely and objectively measured.
Finished Performance measures?
Mark it complete when you can explain why RI can beat ROI and design a four-perspective scorecard.
Standard costing systems
Standards are the yardstick behind every variance. Set them well, record the variances correctly, and dispose of them at period end.
Setting standardsIdeal, practical, and how they are built
| Standard | Assumes | Effect |
|---|---|---|
| Ideal (theoretical) | Perfect efficiency: no waste, downtime or spoilage | Constant unfavorable variances; demotivating; useful only as a kaizen aspiration |
| Practical (attainable) | Efficient work with normal breaks, setups, spoilage | Preferred for budgeting, inventory and evaluation; variances are meaningful |
| Historical / expected actual | Past or expected performance | Builds in past inefficiency; too loose to drive improvement |
- Sources: engineering studies (accurate, costly), adjusted historical data, benchmarking, and participation by the people who will be measured.
- Participation improves acceptance but invites budgetary slack.
- Price standards include freight and are net of discounts; quantity standards include normal waste; labor rates include payroll taxes and fringe benefits.
Overhead rates = budgeted overhead ÷ denominator activity (normal or practical capacity).
Building a standard cost card
One unit requires 3.2 lb of material at $5.00, 1.5 labor hours at $24.00, variable overhead at $6.00 per labor hour, and fixed overhead at $8.00 per labor hour.
Recording variancesJournal entries in a standard cost system
Inventories and work in process are carried at standard. Each variance gets its own account: unfavorable variances are debits (extra cost) and favorable variances are credits.
Journal entries for materials and labor
Standard: 3.2 lb at $5.00 and 1.5 hours at $24.00 per unit. Bought 5,000 lb at $5.30 on account. Used 4,200 lb to make 1,250 units. Labor: 1,950 hours at $23.80.
| Entry | Account | Debit | Credit |
|---|---|---|---|
| Purchase | Materials inventory (5,000 × $5.00) | 25,000 | |
| Materials price variance (5,000 × $0.30) | 1,500 | ||
| Accounts payable (5,000 × $5.30) | 26,500 | ||
| Issue | Work in process (4,000 std lb × $5.00) | 20,000 | |
| Materials usage variance (200 × $5.00) | 1,000 | ||
| Materials inventory (4,200 × $5.00) | 21,000 | ||
| Labor | Work in process (1,875 std hours × $24) | 45,000 | |
| Labor efficiency variance (75 × $24) | 1,800 | ||
| Labor rate variance (1,950 × $0.20) | 390 | ||
| Wages payable (1,950 × $23.80) | 46,410 |
Disposing of variancesClose to cost of goods sold, or prorate
- Immaterial variances are closed to cost of goods sold.
- Material variances are prorated to work in process, finished goods and cost of goods sold (and materials inventory for a price variance recognized at purchase), in proportion to the standard cost in each account, so that inventories approximate actual cost as GAAP requires.
Prorating a material variance
Net production variances are $24,000 U and judged material. Ending balances at standard: WIP $60,000, finished goods $90,000, cost of goods sold $450,000.
Investigating variances, and the limits of standardsManagement by exception and behavioral side effects
- Management by exception: investigate based on size (dollars and percent), recurrence, trend, controllability, and whether the expected benefit exceeds the cost of investigating.
- Statistical control charts separate random variation from an out-of-control process: investigate points outside the limits or non-random runs.
- Investigate large favorable variances too: cheap materials, skipped maintenance or a loose standard can all look favorable.
- Limits: standards go stale in fast-changing processes; price-variance pressure encourages bulk or low-quality buying (at odds with JIT and TQM); efficiency pressure encourages building unneeded inventory.
Finished Standard costing systems?
Mark it complete when you can journalise variances and decide how to dispose of them.
Interactive tools
Each tool is pre-filled with an example from the lessons. Change any input; the results show the formula, your numbers, and what they mean.
Variance calculator
Materials, labor, overhead (4-, 3- and 2-way) and two-product sales variances. F/U is decided by the effect on operating income.
ROI, RI and EVA comparator
See how a proposed project changes each measure, and whether a manager judged on that measure would accept it.
Transfer-price range finder
Works for idle, partial and full capacity. Costs avoided on internal sales reduce the seller's minimum.
Formula sheet
Every formula in Performance Management on one sheet. Print it from here: the sidebar is hidden and the sheet prints black on white.
Flashcards
Recall first, then flip. Your grade schedules the next review (SM-2-lite).
Practice MCQs
Practice mode gives instant feedback; timed mode allows 1.8 minutes per question, like the exam. Filter by topic, difficulty, or questions you missed.
Written-response practice
Write your answer first (aim for about 30 minutes per case), then compare it with the model answer and score yourself against the rubric. Show your calculations: the exam awards marks for method.
Glossary
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