Managerial Accounting¶
IESE MBA Year 1 -- Professors Gaizka Ormazabal & Edi Soler Technical Notes: CN-223-E through CN-229-E 22 sessions, two parts: Business Decisions (1-11) and Management Control (12-22)
Why This Matters¶
Every manager makes decisions that have economic consequences: Should we drop this product line? Accept a discount order? Make a component in-house or buy it? Managerial accounting gives you the quantitative toolkit to evaluate these alternatives -- and then to design the internal systems (cost allocation, transfer pricing, variance analysis, performance metrics, incentive contracts) that keep everyone in the organization pulling in the same direction.
Unlike financial accounting (which follows GAAP/IFRS for external reporting), managerial accounting has no regulatory standard. It follows economic principles applied case by case. The information stays internal, so there is no risk of manipulation by outsiders -- but there is a real risk of bad internal signals leading to bad decisions.
Three objectives of managerial accounting: 1. Evaluate alternative decisions -- quantify the differential economic impact of choices 2. Evaluate business performance -- measure profitability of products, clients, divisions 3. Achieve goal congruence -- align employees' incentives with the firm's interests
How It All Connects¶
PART 1: BUSINESS DECISIONS PART 2: MANAGEMENT CONTROL
Relevant Costs & Revenues Cost Systems (allocation)
| |
Contribution Margin Transfer Pricing
| |
Decision Framework: Variance Analysis
- Product line decisions |
- Discounts Performance Measurement
- Technology changes (ROI, RI, EVA)
- Outsourcing / make vs buy |
- Special orders Monetary Incentives
| (bonus design, equity comp)
v |
Breakeven Analysis <-----> Pricing <------> Goal Congruence
Cross-references: - --> Financial Accounting: COGS, inventory valuation (absorption vs variable costing), balance sheet - --> Corporate Finance: WACC used in EVA, cost of capital in residual income, NPV of alternatives - --> Operations Management: make-vs-buy, capacity constraints, bottleneck analysis - --> Marketing Management: pricing decisions, contribution margin for product/customer profitability - --> Competitive Strategy: cost advantage, value chain analysis, ABC for strategic positioning
Part 1: Business Decisions¶
Lesson 1: Foundations -- Relevant Costs and the Decision Framework¶
Session 1 | Case: RCD Espanyol | Notes: CN-223-E, CN-224-E
The Central Idea¶
Not all costs matter for every decision. A relevant cost is a cost that is: 1. Future (not sunk) 2. Different between alternatives (differential)
Everything else is noise. Sunk costs -- money already spent -- are irrelevant no matter how painful they are. The decision framework strips away irrelevant costs and compares only what changes.
Key Concepts¶
| Term | Definition |
|---|---|
| Relevant Cost | A future cost that differs between the alternatives being considered |
| Sunk Cost | A past cost that cannot be recovered; always irrelevant to forward-looking decisions |
| Opportunity Cost | The value of the best foregone alternative; always relevant |
| Variable Cost | A cost that changes in proportion to the level of activity (units produced/sold) |
| Fixed Cost | A cost that does not change with the level of activity within a relevant range |
| Avoidable Cost | A fixed cost that can be eliminated if a product/activity is discontinued |
| Unavoidable Cost | A fixed cost that persists regardless of the decision |
| Contribution Margin | Revenue minus variable costs; the amount each unit contributes to covering fixed costs and generating profit |
Core Formulas¶
Contribution Margin (total):
CM = Revenue - Variable Costs
Contribution Margin per unit:
CMU = Price - Variable Cost per Unit
Break-Even Quantity:
BEQ = Fixed Costs / CMU
Margin of Safety:
Margin of Safety = Actual Sales - BEQ
Profit equation (single product):
Profit = Q x (P - VCU) - FC Profit = Q x CMU - FC
Profit equation (multi-product):
Profit = SalesVolume x [%A x CMU_A + %B x CMU_B + ...] - FC
Variable Definitions¶
| Variable | Meaning | Units |
|---|---|---|
| Q | Quantity sold | units |
| P | Selling price per unit | EUR/unit |
| VCU | Variable cost per unit | EUR/unit |
| CMU | Contribution margin per unit = P - VCU | EUR/unit |
| FC | Total fixed costs | EUR |
| BEQ | Break-even quantity | units |
Intuition: WHY Does Contribution Margin Matter?¶
Contribution margin answers a deceptively simple question: "If I sell one more unit, how much better off am I?" Fixed costs exist whether you sell zero units or a million. So the only thing that matters at the margin is how much revenue each unit brings in above its variable cost. That surplus -- the contribution margin -- first covers fixed costs, then generates profit.
This is why a product with a low or even negative gross margin under full-cost accounting might still be worth keeping: if it contributes positive CM, dropping it removes revenue without removing the fixed costs allocated to it.
Quick Mental Math¶
- Breakeven in units: Fixed Costs / CMU. If FC = EUR 100,000 and CMU = EUR 25, you need 4,000 units.
- Breakeven in euros: BEQ x P. At P = EUR 50, that is EUR 200,000 in revenue.
- CM ratio: CMU / P. Here, 25/50 = 50%. For every EUR 1 of revenue, EUR 0.50 covers fixed costs.
- Target profit: (FC + Target Profit) / CMU. Need EUR 50,000 profit? (100,000 + 50,000) / 25 = 6,000 units.
Back-of-Napkin: The Decision Framework¶
For ANY decision, follow this sequence: 1. List the alternatives (including "do nothing") 2. Identify all future cash flows that differ between alternatives 3. Ignore sunk costs and unavoidable fixed costs 4. Compare the differential contribution margin 5. Consider qualitative factors (strategy, reputation, relationships)
Lesson 2: Product Line Decisions -- Should We Drop a Product?¶
Session 2 | Case: Le Grand Hotel de Leysin
The Central Idea¶
A product showing an accounting loss under full-cost allocation may still be profitable to keep. The question is never "Is this product profitable after allocating all overhead?" The question is: "Would the company be better off without this product?"
Decision Rule¶
Keep the product if: its Contribution Margin > Avoidable Fixed Costs
Drop the product if: its Contribution Margin < Avoidable Fixed Costs
The Trap: Full-Cost Allocation¶
When corporate overhead is allocated to products, low-volume products often look unprofitable. But dropping them does not eliminate the overhead -- it just redistributes it to the remaining products, making them look worse too. This is the death spiral of cost allocation.
Worked Intuition¶
Suppose Product C has: - Revenue: EUR 200,000 - Variable costs: EUR 150,000 - Allocated fixed costs: EUR 80,000 (only EUR 30,000 avoidable)
Full-cost profit: 200,000 - 150,000 - 80,000 = -EUR 30,000 (looks like a loser)
Relevant analysis: - CM = 200,000 - 150,000 = EUR 50,000 - Avoidable FC = EUR 30,000 - Net benefit of keeping = 50,000 - 30,000 = EUR 20,000
Dropping Product C would make the company EUR 20,000 worse off, not EUR 30,000 better off.
Quick Mental Math¶
Ask: "If I shut this down tonight, what costs actually disappear?" Those are avoidable. Everything else stays. If CM exceeds avoidable costs, keep it.
Lesson 3: Discount Decisions -- Should We Accept a Lower Price?¶
Session 3 | Case: Becker Textilwerk
The Central Idea¶
A customer wants a big discount. Should you say yes? The answer depends on whether the discounted price exceeds the variable cost per unit (so you earn positive CM), whether you have spare capacity, and whether the discount will contaminate your regular pricing.
Decision Rule¶
Accept the discount if: Discounted Price > VCU (positive incremental CM) AND you have excess capacity (no opportunity cost) AND it will not erode regular-price sales
When Capacity Is Constrained¶
If accepting the discount order means turning away full-price customers, the opportunity cost equals the CM lost on displaced sales:
Relevant Cost = VCU + Opportunity Cost (lost CM on displaced units)
The discount order must cover this full relevant cost to be worthwhile.
Intuition: WHY Is Excess Capacity the Key?¶
With excess capacity, the marginal cost of producing one more unit is just the variable cost. Fixed costs are already covered by existing production. Any price above VCU adds to profit. But at full capacity, every unit you produce for the discount customer is a unit you cannot produce for a full-price customer -- and you must count that sacrifice.
Back-of-Napkin¶
- Excess capacity? Compare discount price vs VCU. If discount price > VCU, accept.
- At capacity? Compare discount price vs VCU + CM lost on displaced sale. Usually reject.
- Watch for: cannibalization, precedent-setting, strategic relationship value.
Lesson 4: Technological Changes -- Investing in New Technology¶
Session 4 | Case: EnGuang Solar
The Central Idea¶
Technology investments typically substitute variable costs for fixed costs: automation replaces labor. The managerial accounting question is whether the cost structure change is favorable given your expected volume.
Decision Framework¶
Compare the two cost structures:
| Current | New Technology | |
|---|---|---|
| Fixed Costs | FC_old | FC_new (higher) |
| VCU | VCU_old | VCU_new (lower) |
| CMU | P - VCU_old | P - VCU_new (higher) |
| BEQ | FC_old / CMU_old | FC_new / CMU_new |
Indifference Point¶
The volume at which both alternatives yield the same profit:
Q* = (FC_new - FC_old) / (VCU_old - VCU_new)
Below Q, the old technology is better (lower fixed costs). Above Q, the new technology wins (lower variable costs generate more CM per unit).
Intuition: WHY Does Operating Leverage Matter?¶
Higher fixed costs and lower variable costs mean higher operating leverage. When volume is high, profits grow faster because each unit carries a bigger margin. But when volume drops, losses mount faster too -- fixed costs do not shrink. Technology decisions are bets on volume.
Quick Mental Math¶
- Calculate the incremental fixed cost: Delta_FC = FC_new - FC_old
- Calculate the incremental VCU saving: Delta_VCU = VCU_old - VCU_new
- Indifference volume: Delta_FC / Delta_VCU
- If you are confident volume will exceed this, invest.
Lesson 5: Outsourcing -- Make vs Buy¶
Session 5 | Case: 3P S.A.
The Central Idea¶
Should you make a component in-house or buy it from a supplier? The relevant comparison is the outsource price vs the costs you would actually save by outsourcing.
Decision Rule¶
Outsource if: Outsource Price < Variable Cost + Avoidable Fixed Costs
Keep in-house if: Outsource Price > Variable Cost + Avoidable Fixed Costs
Variable Definitions¶
| Variable | Meaning |
|---|---|
| VCU_make | Variable cost per unit to manufacture in-house |
| AFC_make | Avoidable fixed costs if production is outsourced |
| P_buy | Purchase price from external supplier |
| OC | Opportunity cost of using capacity for this product |
Full Decision Rule (with opportunity cost)¶
Outsource if: P_buy < VCU_make + AFC_make/Q + OC per unit
If the capacity freed up by outsourcing can be used for something else (alternative product, rental income), include that opportunity cost on the "make" side.
Intuition: WHY Not Just Compare Total Costs?¶
Because total costs include allocated fixed costs that will not disappear if you outsource. If you are paying EUR 100,000 in factory rent and it stays whether you make or buy, it is irrelevant. Only costs that actually go away matter.
Back-of-Napkin: Make vs Buy Threshold¶
"If outsource price < variable cost + avoidable fixed cost per unit, outsource."
Watch for: quality control, supply risk, strategic capabilities, long-term dependency.
Lesson 6: Special Orders¶
Session 6 | Case: Orbea
The Central Idea¶
A one-time order at a price below your normal selling price. Should you accept? This is the discount decision with an additional nuance: the order is typically from a new channel, so cannibalization risk may be lower.
Decision Rule (same as discount)¶
Accept if: Special Order Price > Incremental Cost per Unit
Incremental Cost = VCU (if excess capacity) or VCU + lost CM on displaced sales (if at capacity)
Capacity Constraint with Multiple Products¶
When capacity is scarce, rank products by CM per unit of the constrained resource (e.g., CM per machine hour, CM per labor hour). Accept orders that maximize CM per unit of the bottleneck.
CM per Bottleneck Unit = CMU / Resource Usage per Unit
Intuition¶
Special orders are attractive precisely because they are incremental: if the factory is idle, the marginal cost of filling that capacity is just the variable cost. But "special" must mean truly one-time. If it becomes regular business at a low price, you have a pricing problem, not a capacity-utilization opportunity.
Lesson 7: Cost Systems -- Allocating Indirect Costs¶
Session 7 | Lecture | Note: CN-225-E
The Central Idea¶
When you need to know product or divisional profitability, you must allocate indirect costs (costs shared across products, divisions, or customers). A cost system is the model a company uses to trace and allocate these costs. The choice of allocation base can dramatically change which products look profitable.
Elements of a Cost System¶
| Element | Definition | Example |
|---|---|---|
| Cost Object | What you are trying to cost | Product, division, customer |
| Direct Cost | Cost traceable to the cost object | Raw materials for Product A |
| Indirect Cost | Cost shared across cost objects | Factory rent, corporate SG&A |
| Cost Pool | A group of indirect costs allocated together | "Manufacturing overhead" |
| Allocation Base | The metric used to distribute a cost pool | Machine hours, labor hours, # of units |
| Allocation Rate | Cost pool / Total allocation base | EUR 1,500,000 / 30,000 machine hrs = EUR 50/hr |
The Four Steps¶
- Identify indirect costs and group them into cost pools
- Define an allocation base for each pool
- Compute the allocation rate = Total Cost Pool / Total Allocation Base
- Allocate to cost objects = Allocation Rate x Object's Usage of the Base
Core Formulas¶
Allocation Rate:
Allocation Rate = Total Indirect Cost in Pool / Total Allocation Base
Allocated Cost to Object j:
Allocated Cost_j = Allocation Rate x Allocation Base consumed by j
Full Cost of Product:
Full Cost = Direct Materials + Direct Labor + Allocated Manufacturing Overhead
Critical Warning: Allocation Rates Are Not Variable Costs¶
An allocation rate of EUR 50/machine-hour does not mean costs increase by EUR 50 for each additional machine hour. Overhead is often fixed. The rate is an accounting artifact for distributing costs, not a measure of marginal cost. Confusing the two leads to bad decisions.
Capacity Utilization and Allocation¶
If the denominator uses actual capacity utilization, the idle capacity cost gets allocated to products -- making them look more expensive (and potentially mispriced). If the denominator uses maximum capacity, idle capacity cost is isolated and not burdened onto products.
Rate (actual) = Total OH / Actual Hours Used --> products absorb idle capacity cost Rate (max capacity) = Total OH / Max Hours Available --> idle capacity cost is separated
Intuition: WHY Does the Allocation Base Matter So Much?¶
Because it determines which products subsidize which. A volume-based allocation (units produced) spreads overhead evenly -- great for high-volume products, terrible for low-volume specialty products that actually consume disproportionate resources. The wrong allocation base can make you think your best product is a dog and your worst product is a star.
Lesson 8: Activity-Based Costing (ABC) and Product Profitability¶
Session 8 | Case: Tidal Cloud | Note: CN-225-E
The Central Idea¶
Traditional cost systems allocate overhead using volume-based measures (units, labor hours). Activity-Based Costing (ABC) allocates overhead by identifying the activities that drive costs and using the specific cost driver for each activity.
ABC vs Traditional Costing¶
| Traditional | ABC | |
|---|---|---|
| Cost pools | Few, broad | Many, activity-specific |
| Allocation base | Volume-based (units, hours) | Activity-specific cost drivers |
| Accuracy | Lower (cross-subsidization) | Higher (reflects actual resource consumption) |
| Complexity | Low | High |
ABC Procedure¶
- Identify major activities (e.g., packing/shipping, machine setup, quality inspection, maintenance)
- Assign costs to each activity pool
- Identify the cost driver for each activity (the factor that causes the cost)
- Compute the activity rate = Activity Cost / Total Cost Driver Volume
- Allocate to products based on each product's consumption of each driver
ABC Allocation Formula¶
Activity Rate = Total Activity Cost / Total Cost Driver Volume
Cost Allocated to Product j = Activity Rate x Driver Volume consumed by j
Classic ABC Insight: Cross-Subsidization¶
Low-volume, complex products consume disproportionate overhead (more setups, more orders, more quality checks) but traditional systems spread these costs evenly across all units. Result: high-volume products subsidize low-volume products. ABC reveals this cross-subsidization.
Example (from CN-225-E, Limon)¶
Traditional allocation of distillery overhead by # bottles: - Creme de cassis (high volume): EUR 300,000 overhead --> Profit EUR 360,000 - Creme d'or (low volume): EUR 50,000 overhead --> Loss EUR 110,000
ABC allocation by # orders and maintenance hours: - Creme de cassis: EUR 240,000 overhead --> Profit EUR 420,000 - Creme d'or: EUR 160,000 overhead --> Loss EUR 220,000
ABC revealed that Creme d'or was even more unprofitable than traditional costing suggested (it had many small orders driving packing/shipping costs).
Intuition: WHY Does ABC Matter for Strategy?¶
Because strategic decisions about which products to push, which customers to serve, and how to price depend on knowing the true cost to serve. If you are cross-subsidizing without knowing it, your pricing is wrong, your product mix is suboptimal, and competitors who understand their costs better will eat your lunch.
--> Cross-reference: Competitive Strategy -- cost advantage requires knowing your true costs. ABC is a tool for identifying where value is created and destroyed in the value chain.
Lesson 9: Cost Systems and Competitive Strategy¶
Session 9 | Case: Bruxelles Services
The Central Idea¶
Cost system design is not just an accounting exercise -- it is a strategic choice. The level of detail, the allocation bases, and the treatment of capacity costs all send signals within the organization that influence behavior.
Strategic Implications of Cost System Design¶
| Design Choice | Strategic Implication |
|---|---|
| Volume-based allocation | Favors high-volume products; may hide unprofitable niches |
| ABC allocation | Reveals true product/customer profitability; supports differentiation strategies |
| Actual vs standard rates | Actual rates pass capacity risk to products; standard rates isolate capacity decisions |
| Allocating corporate OH to divisions | Reminds divisions of corporate costs; but may distort divisional performance and behavior |
When to Use ABC vs Traditional¶
- Use ABC when: product diversity is high, overhead is large relative to direct costs, products consume resources in very different proportions
- Traditional is fine when: products are homogeneous, overhead is small, or the cost of implementing ABC exceeds the benefit
Part 2: Management Control¶
Lesson 10: Internal Accounting and Control Systems¶
Session 12 | Lecture
The Central Idea¶
Part 2 shifts from "What should we decide?" to "How do we design systems that make the whole organization decide well?" Management control systems use internal accounting information to: 1. Evaluate business performance (products, divisions) 2. Evaluate individual performance (managers, employees) 3. Achieve goal congruence (align individual incentives with firm goals)
Responsibility Centers¶
| Type | Manager Controls | Performance Metric |
|---|---|---|
| Cost Center | Costs only | Actual vs budgeted costs |
| Revenue Center | Revenue only | Actual vs budgeted revenue |
| Profit Center | Revenue and costs | Divisional profit |
| Investment Center | Revenue, costs, and investment | ROI, Residual Income, EVA |
The Delegation Problem¶
Decentralization is necessary (CEOs cannot make every decision), but it creates agency problems: divisional managers may act in their own interest rather than the firm's. The sales manager who cuts price to boost revenue volume (because her bonus is on revenue) may destroy profitability. Control systems exist to prevent this.
Lesson 11: Transfer Pricing -- Cost-Based¶
Session 13 | Case: Al Jakani | Note: CN-227-E
The Central Idea¶
When one division sells to another, the transfer price determines each division's profit. If the TP is wrong, divisional managers will make decisions that look good for their division but are bad for the company. Transfer pricing is the single most important mechanism for goal congruence in multi-divisional firms.
The Goal Congruence Condition¶
A transfer price achieves goal congruence when it leads divisional managers, acting in their own self-interest, to make the same decision the company would make if it were centralized.
Transfer Price Range¶
Variable Cost <= TP <= Market Price
For internal transfers to make economic sense: - The selling division will not accept less than its incremental cost (otherwise it loses money) - The buying division will not pay more than the external market price (otherwise it would buy outside)
Cost-Based Transfer Pricing¶
TP at Full Cost (+ markup):
TP = Variable Cost + Allocated Fixed Cost + Markup
Problem: includes allocated fixed costs that are not incremental. Can make a profitable transaction look unprofitable for one division.
TP at Variable Cost (+ markup):
TP = Variable Cost + Markup
Problem: the selling division earns no contribution to its fixed costs on internal sales. Its reported profit is artificially low.
The KBC Example (CN-227-E)¶
Private-label bikes: selling price EUR 300, variable cost of frame EUR 75, variable assembly cost EUR 60, allocated fixed overhead EUR 100/division.
Company CM = 300 - 75 - 60 = EUR 165 per bike (good deal!)
| TP Basis | TP | Frame Div Profit | Assembly Div Profit | Goal Congruent? |
|---|---|---|---|---|
| Full cost + 25% | 219 | +44 | -79 | NO (Assembly rejects) |
| Variable cost + 25% | 94 | -81 | +46 | NO (Frame rejects) |
| Market price | 140 | +15 | +0 to +10 | YES |
The Root Cause: Bad Cost Systems¶
In the KBC example, goal congruence was initially impossible because the cost system used an outdated production volume to compute allocation rates. After updating the cost system (70,000 units instead of 50,000; 35:65 split instead of 50:50), the goal-congruent range became 125 <= TP <= 150.
Lesson: Transfer pricing problems are often cost system problems in disguise.
Back-of-Napkin: Transfer Pricing Decision Tree¶
Is there excess capacity in the selling division?
YES --> TP = Variable Cost (+ small markup)
"At the margin, the selling division's cost is just variable cost"
NO --> Is there an external market?
YES --> TP = Market Price
"Both divisions can trade externally; market price is fair"
NO --> Negotiate within range [Variable Cost, Buyer's Max Willingness to Pay]
Lesson 12: Transfer Pricing -- Market-Based¶
Session 14 | Case: Salers Dairy
The Central Idea¶
When an external market exists for the intermediate product, using the market price as the transfer price generally achieves goal congruence. Each division faces the same price it would face if it were an independent company.
Market-Based TP¶
TP = Market Price of the intermediate product
Advantages¶
- Provides a fair benchmark: both divisions face the same opportunity cost
- Simulates arm's-length transactions
- Preserves divisional autonomy and accountability
Limitations¶
- Requires a competitive external market with observable prices
- Market prices may be volatile
- May not exist for specialized or proprietary intermediate products
- Transaction costs (search, quality assurance) may differ between internal and external trades
When Market Price Works Best¶
- The intermediate product is a commodity with many external suppliers/buyers
- Both divisions have genuine freedom to trade externally
- Market prices are stable and transparent
When Market Price Fails¶
- No external market exists (proprietary components)
- The internal transaction creates synergies not captured by market price (shared quality knowledge, lower logistics costs)
- Volatile markets make divisional profit measurement noisy
Lesson 13: Variance Analysis and Budgeting¶
Session 15 | Case: Agrismart | Note: CN-226-E
The Central Idea¶
Variance analysis decomposes the difference between budgeted and actual profit into components attributable to specific factors: sales volume, product mix, selling price, efficiency, input prices, and fixed costs. It answers: "We missed the budget -- but WHY?"
Profit Decomposition¶
Profit = Sales Volume x [%A x CMU_A + %B x CMU_B] - Fixed Costs
Where:
CMU = Price - VCU VCU = Efficiency Ratio x Input Price
The Six Variances¶
| Variance | Formula | What It Measures | Type |
|---|---|---|---|
| Sales Volume | (Q_actual - Q_budget) x CMU_budget_weighted | Did we sell more or fewer total units? | Competitive |
| Product Mix | Q_actual x SUM[(%_actual - %_budget) x CMU_budget] | Did the mix shift toward higher- or lower-margin products? | Competitive |
| Selling Price | Q_actual x SUM[%_actual x (P_actual - P_budget)] | Did we charge more or less per unit? | Competitive |
| Efficiency | -Q_actual x SUM[%_actual x (ER_actual - ER_budget) x IP_budget] | Did we use more or fewer inputs per unit? | Operational |
| Input Price | -Q_actual x SUM[%_actual x ER_actual x (IP_actual - IP_budget)] | Did inputs cost more or less per unit? | Operational |
| Fixed Cost | -(FC_actual - FC_budget) | Did fixed costs deviate from budget? | Operational |
Variable Definitions¶
| Variable | Meaning |
|---|---|
| Q | Total sales volume (units) |
| %_i | Product mix: share of product i in total sales |
| P_i | Selling price of product i |
| ER_i | Efficiency ratio: input quantity per unit of output |
| IP_i | Input price: cost per unit of input |
| CMU_i | Contribution margin per unit of product i |
| FC | Total fixed costs |
The Waterfall (Sequential Substitution Method)¶
The key rule: when analyzing one item, use actual values for all previously analyzed items and budgeted values for all remaining items.
Budgeted Profit
+/- Sales Volume Variance (change Q, keep everything else at budget)
= Sales-Adjusted Profit
+/- Product Mix Variance (change mix %, keep rest at budget)
= Mix-Adjusted Profit
+/- Selling Price Variance (change prices)
= Price-Adjusted Profit
+/- Efficiency Variance (change efficiency ratios)
= Efficiency-Adjusted Profit
+/- Input Price Variance (change input prices)
= Input-Price-Adjusted Profit
+/- Fixed Cost Variance (change fixed costs)
= Actual Profit
Competitive vs Operational Variances¶
- Competitive variances (sales volume, mix, selling price): measure market performance. Were we selling the right products at the right prices in the right quantities?
- Operational variances (efficiency, input price, fixed cost): measure production performance. Were we producing efficiently and buying inputs at good prices?
Favorable (F) vs Unfavorable (U)¶
- Positive variance = favorable (increases profit)
- Negative variance = unfavorable (decreases profit)
Convention: often expressed as absolute values with (F) or (U) notation.
The Fashion Textiles Example (CN-226-E)¶
Budget profit = EUR 3,025K; Actual profit = EUR 3,025K. Looks like everything went as planned!
But variance analysis reveals:
| Variance | Amount (EUR 000) | Assessment |
|---|---|---|
| Sales Volume | -941 (U) | Sold fewer total meters |
| Product Mix | +1,216 (F) | Shifted toward profitable Winter fabric |
| Selling Price | +400 (F) | Summer sold at higher price |
| Efficiency | +400 (F) | Used fewer materials for Summer |
| Input Price | -2,040 (U) | Materials much more expensive |
| Fixed Cost | +965 (F) | Fixed costs came in under budget |
| Net | 0 |
Insight: Total profit hit the target, but for completely different reasons than planned. The competitive side outperformed while the operational side underperformed. Without variance analysis, management would have missed this.
Intuition: WHY Decompose When the Total Is Fine?¶
Because the total can be on target while fundamental problems are brewing. If input prices are rising 30% and you are only surviving because the mix shifted toward premium products, you have a procurement problem that needs attention before the mix shifts back.
Quick Mental Math for Variance Analysis¶
- Price variance isolates the per-unit price effect: (Actual Price - Budget Price) x Actual Quantity
- Volume variance isolates the quantity effect: (Actual Volume - Budget Volume) x Budgeted CMU
- Mix variance: shift toward products with above-average CM is favorable
Terminology¶
| Term | Definition |
|---|---|
| Static Budget | The original profit plan using budgeted volumes and standard costs |
| Flexible Budget | Profit plan adjusted for actual volume of sales and production |
| Standard Cost | Budgeted (planned) cost per unit, used as a benchmark |
| Flexible Budget Variances | Selling price + efficiency + input price variances (differences from flexible budget) |
Lesson 14: Variance Analysis with Absorption Costing¶
Session 16 | Case: PriceClub Spain | Note: CN-226-E
The Central Idea¶
When inventories are valued at full cost (absorption costing, required by GAAP), a new variance appears: the production volume variance. This variance can make a manager look good simply by overproducing -- a dangerous incentive.
Variable vs Absorption Costing¶
| Variable Costing | Absorption Costing | |
|---|---|---|
| Inventory valued at | Variable cost only | Variable + fixed cost |
| Fixed mfg costs | Expensed immediately | Capitalized in inventory; expensed when sold |
| Production volume variance | Always zero | Can be large |
| Profit manipulation via overproduction | Not possible | Possible |
Key Formulas Under Absorption Costing¶
Standard Full Cost per Unit:
Standard Full Cost = Standard Variable Cost + (Budgeted Fixed Cost / Budgeted Volume)
Profit Under Absorption Costing:
Profit = Sales_Vol x Selling_Price - Sales_Vol x Std_Full_Cost - [Prod_Vol x ER x IP + FC - Prod_Vol x Std_Full_Cost] - SGA
Production Volume Variance:
PVV = (Actual Production - Budgeted Production) x Standard Fixed Cost per Unit
The WALLCO Example (CN-226-E)¶
Budget: produce and sell 1,000 wallets. Actual: produced 1,200, sold only 800.
| Variance | Absorption | Variable |
|---|---|---|
| Sales Volume | -10,000 | -28,000 |
| Production Volume | +18,000 | 0 |
| Selling Price | -800 | -800 |
| Efficiency | -2,000 | -2,000 |
| Input Price | -3,700 | -3,700 |
| Fixed Cost | -100 | -100 |
| Actual Profit | 6,400 | -29,600 |
The key insight: Under absorption costing, overproducing 200 units generates a favorable production volume variance of EUR 18,000 (= 200 x 90 standard fixed cost/unit). This makes actual profit (EUR 6,400) higher than budgeted profit (EUR 5,000) even though the company sold fewer units at a lower price with higher costs! Under variable costing, the picture is clear: the company lost EUR 29,600.
Difference: Absorption Profit - Variable Profit = (Production - Sales) x Std Fixed Cost/Unit = 400 x 90 = EUR 36,000.
Intuition: WHY Can Managers Game Absorption Costing?¶
Because overproduction pushes fixed costs into inventory (an asset on the balance sheet) instead of the income statement. Profit looks higher today, but those costs will hit the income statement when the inventory is eventually sold (or written off). It is borrowing from the future.
--> Cross-reference: Financial Accounting -- this is why GAAP requires absorption costing (matching principle), but why analysts often adjust for inventory changes.
Lesson 15: Financial Performance Measures¶
Session 17 | Case: Schneider Electric | Note: CN-228-E
The Central Idea¶
How do you evaluate the performance of a division that controls its own investments? You need metrics that account for both profit and the capital employed to generate it.
The Three Key Metrics¶
Return on Investment (ROI):
ROI = Operating Income / Invested Capital
| Pro | Con |
|---|---|
| Easy to compute and compare | Penalizes divisions with large asset bases |
| Widely understood | Incentivizes managers to reject projects above cost of capital but below current ROI |
| Ratio allows cross-division comparison | Encourages underinvestment |
Residual Income (RI):
RI = Operating Income - (Cost of Capital x Invested Capital)
| Pro | Con |
|---|---|
| Solves underinvestment problem | Not a ratio; hard to compare divisions of different size |
| Aligns with value creation: positive RI = value created | Requires estimating cost of capital |
| Encourages accepting all positive-NPV projects |
Economic Value Added (EVA):
EVA = NOPAT - (WACC x Invested Capital)
Where: - NOPAT = Net Operating Profit After Taxes - WACC = Weighted Average Cost of Capital
EVA is RI with specific accounting adjustments (capitalize R&D, operating leases, etc.) to remove distortions from conservative accounting rules.
Variable Definitions¶
| Variable | Meaning |
|---|---|
| Operating Income | Revenue - operating expenses (before interest and tax for some definitions) |
| Invested Capital | Total assets - current liabilities; or equity + debt |
| Cost of Capital | The minimum return investors require; typically WACC |
| NOPAT | Net Operating Profit After Taxes = Operating Income x (1 - Tax Rate) |
| WACC | Weighted Average Cost of Capital |
Intuition: WHY ROI Can Lead to Bad Decisions¶
Division A has ROI = 20%. A new project offers 15% return. The company's cost of capital is 10%. The project creates value (15% > 10%), but the division manager rejects it because it would dilute her ROI from 20% toward 15%. Under RI or EVA, the project has positive incremental RI (15% - 10% = 5% spread on invested capital), so the manager would accept it.
ROI vs RI: The Decision Test¶
| Scenario | ROI Decision | RI Decision | Correct Decision |
|---|---|---|---|
| New project return > Cost of capital but < Current ROI | Reject (dilutes ROI) | Accept (positive incremental RI) | Accept |
| New project return < Cost of capital | Reject | Reject | Reject |
| New project return > Current ROI | Accept | Accept | Accept |
Quick Mental Math¶
- ROI: Operating Income / Invested Capital. If you earn EUR 2M on EUR 10M of assets, ROI = 20%.
- RI: Operating Income - (Cost of Capital x Invested Capital). If cost of capital = 12%, RI = 2M - 1.2M = EUR 800K.
- EVA spread: ROIC - WACC. Positive spread = value creation.
--> Cross-reference: Corporate Finance -- WACC calculation, cost of equity (CAPM), value creation
Lesson 16: Non-Financial Performance Measures¶
Session 18
The Central Idea¶
Financial metrics are lagging indicators -- they tell you what already happened. Non-financial measures (customer satisfaction, defect rates, employee turnover, lead times) are leading indicators that predict future financial performance.
The Balanced Scorecard Framework¶
| Perspective | Question | Example Measures |
|---|---|---|
| Financial | How do we look to shareholders? | ROI, RI, EVA, revenue growth |
| Customer | How do customers see us? | Satisfaction, retention, market share, NPS |
| Internal Process | What must we excel at? | Defect rate, cycle time, on-time delivery |
| Learning & Growth | Can we continue to improve? | Employee satisfaction, training hours, innovation pipeline |
Why Use Non-Financial Measures?¶
- Leading indicators: customer complaints today predict lost revenue tomorrow
- Controllability: a factory manager can control defect rates more directly than EVA
- Strategy alignment: if your strategy is differentiation, measure quality and innovation, not just cost
- Gaming resistance: harder to manipulate non-financial metrics (though not impossible)
The Trade-Off: Too Many Measures¶
More measures = more information but also more confusion, more cost, and weaker incentive power (if bonuses depend on 15 metrics, each metric has only ~7% weight, reducing motivation to focus on any single one).
Lesson 17: Employee Incentives -- Designing Bonus Schemes¶
Session 19 | Case: ATH Technologies A | Note: CN-229-E
The Central Idea¶
Monetary incentives -- bonuses, equity compensation -- are the primary tool for aligning employee behavior with firm objectives. But every compensation design involves trade-offs: motivation vs risk-bearing, short-term vs long-term, individual vs team performance.
Three Problems Compensation Addresses¶
- Retention: Match or exceed outside wage opportunities
- Effort: Make pay contingent on performance to motivate effort
- Risk-taking: Control the amount of risk employees take
Bonus Scheme Design¶
Linear bonus (no floor/cap):
Bonus = Slope x Performance Metric
Simple but problematic: no downside protection, unlimited upside may incentivize excessive risk.
Bonus with floor and cap:
Cap
/-------- Max bonus
/
/ Slope
/
Floor -----/
Min bonus Min Target Max
Performance threshold Performance
Bonus = Fixed Salary + min(Cap, max(Floor, Slope x (Performance - Threshold)))
Key Design Elements¶
| Element | Description | Effect |
|---|---|---|
| Fixed salary | Guaranteed compensation | Retention; risk reduction |
| Target bonus | Expected variable pay at target performance | Effort motivation |
| Floor (Min threshold) | Performance below which no bonus is paid | Avoids rewarding bad performance |
| Cap (Max threshold) | Performance above which bonus stops increasing | Limits excessive risk-taking and windfall gains |
| Slope | Rate at which bonus increases with performance | Intensity of incentives |
| Performance metric | What is measured (RI, ROI, revenue, etc.) | Directs attention and effort |
Risk Premium¶
Variable pay subjects employees to uncertainty (performance depends partly on factors outside their control). Risk-averse employees demand a risk premium -- total expected compensation must exceed what they could earn in a fixed-salary job to compensate for bearing risk.
The Floor-Cap Trade-Off¶
- Floor prevents rewarding bad luck as bad performance
- Cap prevents rewarding good luck as good performance
- BUT near the floor: "I am already below threshold, no point trying" (gives up)
- AND near the cap: "I have already maxed out, any extra effort goes unrewarded" (coasts or defers revenue to next period)
Intuition: WHY Floors and Caps Reduce Risk-Taking¶
Without a cap, the upside is unlimited. An employee comparing Strategy 1 (safe, RI = 10M) vs Strategy 2 (risky, RI = 42M or -18M) may choose the risky strategy because the upside bonus is huge. With a cap at RI = 15M, both strategies pay the max bonus in the good scenario, but Strategy 2 pays zero in the bad scenario. The employee prefers the safe strategy.
The PrivateBuy Example (CN-229-E)¶
| Compensation Component | Value |
|---|---|
| Fixed salary | $100,000 |
| Target bonus (RI-based, floor and cap) | $200,000 |
| Restricted stock (3,000 shares x $25) | $75,000 |
| Stock options (20,000 options, Black-Scholes) | $65,167 |
| Total expected annual compensation | $440,167 |
Note: exceeds outside wage opportunity of $400,000 because of the risk premium.
Lesson 18: Equity Compensation and Long-Term Incentives¶
Session 19-20 | Note: CN-229-E
The Central Idea¶
Cash bonuses incentivize short-term performance. Equity compensation (restricted stock, stock options) ties managers' wealth to long-term stock price, aligning their interests with shareholders.
Types of Equity Compensation¶
| Type | What It Is | Incentive Effect |
|---|---|---|
| Restricted Stock | Shares granted with vesting restrictions | Ties wealth to stock price; retention through vesting |
| Stock Options | Right to buy shares at exercise price X | Upside participation; zero downside below X |
Valuation¶
Restricted Stock Value:
Value = Number of Shares x Current Stock Price
Stock Options (Black-Scholes):
Value = [p x e^(-dT) x N(Z) - X x e^(-rT) x N(Z - sigma x sqrt(T))]
where Z = [ln(p/X) + T(r - d + sigma^2/2)] / (sigma x sqrt(T))
| Variable | Meaning |
|---|---|
| p | Current stock price |
| X | Exercise (strike) price |
| T | Time to expiration (years) |
| r | Risk-free rate (continuous) |
| d | Dividend yield (continuous) |
| sigma | Stock return volatility |
| N(.) | Cumulative normal distribution |
Advantages of Equity Compensation¶
- Long-term focus: stock price reflects future cash flows, not just current earnings
- Retention: vesting requirements keep employees at the firm
- Ownership alignment: managers become shareholders -- less likely to waste assets
- Cash conservation: no immediate cash outflow
- Market discipline: stock price is hard to manipulate long-term
Disadvantages of Equity Compensation¶
- Market noise: stock price reflects macro factors beyond the manager's control
- Dilution: existing shareholders share value with employees
- Valuation complexity: Black-Scholes assumptions may not perfectly fit employee options
- Gaming: short-term stock manipulation is possible (earnings management, buybacks before option exercise)
Lesson 19: Top Management Incentives and Governance¶
Session 20 | Case: Citigroup
The Central Idea¶
CEO and top management compensation raises all the design issues from Lessons 17-18, amplified by the scale of the stakes and the difficulty of monitoring. Corporate governance mechanisms (Board of Directors, compensation committees, shareholder votes) exist to oversee executive pay.
Key Governance Concepts¶
| Concept | Description |
|---|---|
| Agency problem | Managers (agents) may act in their own interest, not shareholders' (principals') |
| Board of Directors | Elected by shareholders to oversee management |
| Compensation Committee | Board subcommittee that sets executive pay |
| Say on Pay | Shareholder advisory vote on executive compensation |
| Clawback provisions | Company can reclaim bonuses paid based on later-restated financial results |
The Executive Pay Mix¶
Typical CEO compensation: - ~15-20% fixed salary - ~25-30% annual cash bonus - ~50-60% long-term equity (restricted stock + options)
The heavy equity weighting is intentional: it forces skin in the game and a long-term orientation.
Moral Hazard in Executive Compensation¶
- Excessive risk-taking: guaranteed base + unlimited upside from options can incentivize reckless bets (Citigroup pre-2008)
- Short-termism: if vesting is short, managers boost near-term metrics at the expense of long-term health
- Earnings management: managers manipulate accounting to hit bonus thresholds
Design Remedies¶
- Clawback provisions
- Multi-year performance periods
- Deferred compensation
- Relative performance evaluation (vs peers, not absolute)
- Mix of financial and non-financial metrics
Quick Reference¶
Master Formula Sheet¶
| Formula | Expression |
|---|---|
| Contribution Margin | CM = Revenue - Variable Costs |
| CM per Unit | CMU = P - VCU |
| Break-Even Quantity | BEQ = FC / CMU |
| Margin of Safety | Actual Sales - BEQ |
| Relevant Cost Test | Future? Differs between alternatives? If both yes --> relevant |
| Full Cost | Direct Materials + Direct Labor + Manufacturing Overhead |
| Allocation Rate | Total Indirect Cost / Total Allocation Base |
| ABC Activity Rate | Activity Cost / Total Cost Driver Volume |
| Make vs Buy | Outsource if P_buy < VCU_make + Avoidable FC per unit |
| Indifference Volume | (FC_new - FC_old) / (VCU_old - VCU_new) |
| TP Range | Variable Cost <= TP <= Market Price |
| Sales Volume Variance | (Q_actual - Q_budget) x CMU_budget_weighted |
| Product Mix Variance | Q_actual x SUM[(%_actual - %_budget) x CMU_budget_i] |
| Selling Price Variance | Q_actual x SUM[%_actual x (P_actual - P_budget)] |
| Efficiency Variance | -Q_actual x SUM[%_actual x (ER_actual - ER_budget) x IP_budget] |
| Input Price Variance | -Q_actual x SUM[%_actual x ER_actual x (IP_actual - IP_budget)] |
| Fixed Cost Variance | -(FC_actual - FC_budget) |
| Production Volume Variance | (Prod_actual - Prod_budget) x Std Fixed Cost per Unit |
| Absorption vs Variable Profit | Difference = (Production - Sales) x Std Fixed Cost per Unit |
| ROI | Operating Income / Invested Capital |
| Residual Income | Operating Income - (Cost of Capital x Invested Capital) |
| EVA | NOPAT - (WACC x Invested Capital) |
| Bonus (with floor/cap) | min(Cap, max(Floor, Slope x (Metric - Threshold))) |
| Restricted Stock Value | # Shares x Stock Price |
| Stock Option Value (B-S) | p x e^(-dT) x N(Z) - X x e^(-rT) x N(Z - sigma x sqrt(T)) |
Back-of-Napkin Decision Rules¶
| Decision | Quick Test |
|---|---|
| Keep or drop a product? | CM > Avoidable FC? Keep. |
| Accept a discount/special order? | Discount Price > VCU? (If excess capacity.) Accept. |
| Make or buy? | Outsource price < Variable cost + avoidable FC? Outsource. |
| Invest in new tech? | Volume > (FC_new - FC_old) / (VCU_old - VCU_new)? Invest. |
| Set transfer price? | Excess capacity --> variable cost. At capacity --> market price. |
| Variance diagnosis? | Price variance = per-unit price effect. Volume variance = quantity effect. |
| Accept a project? (Investment center) | Project return > Cost of capital? Accept (use RI, not ROI). |
Glossary¶
| Term | Definition |
|---|---|
| ABC (Activity-Based Costing) | Cost system that allocates overhead based on activity-specific cost drivers rather than volume measures |
| Absorption Costing | Inventory valuation method that includes both variable and fixed manufacturing costs |
| Allocation Base | The metric used to distribute indirect costs to cost objects |
| Allocation Rate | The cost per unit of the allocation base (= cost pool / total base) |
| Avoidable Cost | A fixed cost that disappears if a product, division, or activity is eliminated |
| Balanced Scorecard | Performance measurement framework using financial, customer, process, and learning perspectives |
| Break-Even Quantity (BEQ) | The volume at which total revenue equals total costs; profit is zero |
| Clawback | Contractual right to reclaim compensation paid based on results that are later restated |
| Contribution Margin (CM) | Revenue minus variable costs; the portion of revenue available to cover fixed costs and profit |
| Cost Driver | A factor that causes an activity's costs (used as allocation base in ABC) |
| Cost Object | Any item (product, customer, division) for which costs are being measured |
| Cost Pool | A grouping of indirect costs allocated using a single allocation base |
| Cost System | A company's model for tracing and allocating costs to cost objects |
| Cross-Subsidization | When one product's cost is overstated and another's is understated due to imprecise cost allocation |
| Death Spiral | Dropping a product redistributes its allocated fixed costs to remaining products, making them look unprofitable, leading to more drops |
| Differential Cost | The difference in total cost between two decision alternatives |
| EVA (Economic Value Added) | NOPAT minus the capital charge (WACC x Invested Capital); a measure of value creation |
| Efficiency Ratio | Quantity of input required per unit of output |
| Flexible Budget | Budget adjusted for actual volume; uses standard costs but actual quantities |
| Goal Congruence | Alignment between the interests of individual managers and the interests of the firm as a whole |
| Invested Capital | The total assets (net of current liabilities) employed by a division or company |
| Margin of Safety | The excess of actual (or expected) sales over break-even sales |
| NOPAT | Net Operating Profit After Taxes |
| Operating Leverage | The degree to which a firm's cost structure is composed of fixed vs variable costs |
| Opportunity Cost | The value of the next-best alternative foregone |
| Production Volume Variance | Under absorption costing, the variance caused by producing more or fewer units than budgeted, affecting how much fixed cost is capitalized in inventory |
| Relevant Cost | A future cost that differs between the decision alternatives under consideration |
| Residual Income (RI) | Operating income minus a charge for the capital employed (cost of capital x invested capital) |
| Responsibility Center | An organizational unit whose manager is accountable for specific financial results (cost, revenue, profit, or investment center) |
| Risk Premium | Additional expected compensation required by a risk-averse employee to accept variable pay |
| ROI (Return on Investment) | Operating income divided by invested capital |
| Standard Cost | The budgeted (planned) cost per unit used as a benchmark in variance analysis |
| Static Budget | The original budget prepared at the beginning of the period using planned volumes and standard costs |
| Sunk Cost | A past cost that cannot be recovered and is irrelevant to current decisions |
| Transfer Price (TP) | The price charged by one division of a company to another for an internal transaction |
| Variable Costing | Inventory valuation method that includes only variable manufacturing costs; fixed costs are expensed immediately |
| Variance Analysis | The decomposition of budget-vs-actual profit differences into component causes |
| Vesting | The period after which equity compensation (stock, options) becomes fully owned by the employee |
| WACC | Weighted Average Cost of Capital; the blended required return across debt and equity |