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Lesson 4 of 5 11–14% of the exam

Operating profitability and working capital

Net margin is complete but hard to compare, operating margin shows the core business, and EBITDA margin (earnings before interest, taxes, depreciation, and amortization) compares firms with different leverage, taxes and investment. More fixed costs mean more operating leverage. A longer cash conversion cycle ties up more cash.

7 min cram, 32 min full read. Based on the 2027 CFA® Program Level I curriculum, Equities, Learning Module 10. Sitting in November 2026? The 2026 version of this lesson is still available.

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Before this: Revenue drivers and pricing power, Working Capital and Liquidity, Financial Analysis Techniques

On the exam

  • Evaluate a company’s revenue drivers, operating profitability, and pricing power
  • Evaluate a company’s working capital, capital investments, and capital structure

Evaluate a company's operating profitability and working capital. Expect: which margin compares firms with different leverage, taxes and investment policies; how much profit moves when revenue moves under high operating leverage; what a shorter or longer cash conversion cycle says and what it does to financing needs.

How deeply to learn each part
Know the idea
Understand it in general. It frames other topics, but you will not calculate with it.
Use it
Understand it well enough to solve a question with it. Recognize when it applies.
Memorize
Learn it by heart. The exam will not give it to you.

You know this one. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still do.

You tested strong here. The full lesson is folded away. The takeaways, formulas and checkpoint below are your quick refresher, and the checkpoint is a fair test of whether you still know it.

Cram mode: the one-screen version of this lesson. Switch to Full for the explanations, worked examples and interactives.

Which profit measure should you use?

Memorize

Analysts measure profit at three levels, each usually expressed as a margin, income as a percentage of revenue. Companies use them loosely; a careful analysis does not.

MeasureWhat it includesStrengthWeakness
Net income, net margin everything: operating, financing and investing results and taxesthe most complete measure of what is left for shareholdershard to compare across firms or years: capital structure, capital spending and one-off items distort it; less useful for early-stage or cyclical firms with losses
Operating income, operating margin the core business, before financing costs, taxes and non-recurring itemscomparable across firms and over time; negative less often than net incomedepreciation and amortization (D&A) reflect investment policy: a firm that underinvests shows a higher margin for now
EBITDA, EBITDA margin operating profit before D&A, a measure before discretionary spendingcompares firms with different leverage, taxes and investment policiesnot defined under International Financial Reporting Standards (IFRS) or US generally accepted accounting principles (GAAP); no agreed way to adjust it, so use with caution

Operating income is also called earnings before interest and taxes (EBIT). EBITDA stands for earnings before interest, taxes, depreciation, and amortization. For most companies in the growth, mature and decline stages, net margin is still a useful measure across firms and over time.

Profit margins Memorize
Net margin=net incomerevenue,Operating margin=operating incomerevenue,EBITDA margin=EBITDArevenue\text{Net margin} = \dfrac{\text{net income}}{\text{revenue}},\quad \text{Operating margin} = \dfrac{\text{operating income}}{\text{revenue}},\quad \text{EBITDA margin} = \dfrac{\text{EBITDA}}{\text{revenue}}
Three ways to measure profit
Revenueeach level expressed as a margin of revenue
  • EBITDA Memorize before D&A; compares leverage, taxes, investment policies; not IFRS or GAAP
    • Operating income Memorize after D&A; core profit; distorted by investment policy
      • Net income Memorize after financing, non-operating items, taxes; complete but hard to compare

How do cost components compare with peers?

Use it

Another way in is to break the cost structure into cost components as a share of sales , each as a percentage of sales, and follow them over time against peers. It shows whether the company is making progress on its strategy and stated goals, and sharpens the story behind the valuation.

Year 1Year 2Year 3
Operating margin: Clearspring16.7%16.9%17.2%
Operating margin: peer average11.0%11.4%11.8%
Packaging: Clearspring / peers24% / 27%23% / 27%23% / 26%
Wages: Clearspring / peers12% / 16%12% / 16%11% / 15%
Energy and freight: Clearspring / peers21% / 17%22% / 17%23% / 18%
Maintenance: Clearspring / peers3.0% / 4.5%2.8% / 4.4%2.5% / 4.5%

Clearspring’s lower packaging and wage costs fit its cost leadership. But energy and freight take a bigger share of its sales than its peers’, because it trucks water from one large plant across the region. If energy costs rose 20% with prices unchanged, Clearspring’s margin would lose about 23 × 0.20 = 4.6 points and its peers’ about 18 × 0.20 = 3.6 points: a scenario to model. And its falling maintenance share needs checking: efficiency, or underinvestment that will catch up with it?

How do fixed costs create operating leverage?

Memorize

Operating leverage is the proportion of fixed to variable costs. It decides how stable margins are.

Operating profit Memorize
Operating profit=[Q×(P−VC)]−FC\text{Operating profit} = [Q \times (P - VC)] - FC

Here QQ is units sold, PP price per unit, VCVC variable cost per unit and FCFC total fixed operating costs. Variable costs move with output: inventory for a retailer, raw materials and hourly wages for a manufacturer. Fixed costs , stated as a total, do not change within a normal output range in the short run: salaries, D&A, software, insurance and some utilities.

Financial statements do not split costs into fixed and variable, so analysts estimate the split, for example with a regression of a cost line on revenue (financial statement forecasting shows how). The more a cost moves with revenue, the more variable it is. The estimate assumes the cost structure has not changed over the period.

Rearrange itOperating profit from price, variable cost and fixed cost: solve for any one
The question asks for
A company sells 20 million units at 0.90 each. Variable cost is 0.50 per unit and fixed operating costs are 5.00 million. Its operating profit, in millions, is closest to:

20 × (0.90 − 0.50) − 5.00 = 3.00

Operating profit (millions)3.00

On your calculator
  1. 20×(0.9−0.5)−5=
  1. 0.9ENTER0.5−20×5−

ENTER enter (on the HP, puts the number on the stack)

Companies with a higher share of fixed costs see bigger changes in cash flow and profit for a given change in revenue. A carmaker, with plants and staff to pay whatever it sells, swings more over the cycle than a software reseller whose main cost is the licenses it buys for each sale.

Exam tip With high operating leverage, a 10% rise in revenue raises operating profit by more than 10%. With only variable costs, profit would move exactly 10%.

InteractiveClearspring: profit margins, fixed costs and the cash cycle

Try this 0 of 3

  • Find the cost mix where a 10% sales rise lifts operating profit by more than 40%
  • Make the cash conversion cycle negative
  • In 'Which margin?', make the two operating margins equal
Volume change from 20 million bottles

Price stays USD 0.90 a bottle. Total cost at 20 million bottles stays USD 15.0m, so moving cost into fixed lowers the variable cost per bottle to USD 0.50.

  • Operating profit
  • Revenue
  • Total cost
  • Fixed cost
−103162841010203040Bottles sold, millions20m22m
Fixed costs as % of total costs33.3%
Operating profit at 20m bottlesUSD 3.00m
Change in operating profit if volume rises 10%+26.7%

A rise of 10% in volume moves operating profit from 3.00 to 3.80, or +26.7%: fixed costs make it move by more than volume, both ways.

Show working

Variable cost per bottle = (15.0 − 5.0) ÷ 20 = 0.50. Fixed costs are 5.0 of total costs of 15.0, or 33.3%.

Operating profit = [Q × (P − VC)] − FC. At 20m bottles: 20 × (0.90 − 0.50) − 5.0 = 3.00.

At 22m bottles: 22 × (0.90 − 0.50) − 5.0 = 3.80; 3.80 ÷ 3.00 − 1 = +26.7%.

Profit change on your calculator
  1. 22×(0.9−0.5)−5=3.8
  2. ÷3−1=0.2667
  1. 0.9ENTER0.5−22×5−3.8
  2. 3÷1−0.2667

ENTER enter (on the HP, puts the number on the stack)

Fixed costs make profits swing harder; the cash conversion cycle decides how much cash the sales tie up.

How much cash does working capital absorb?

Memorize

Financial Statement Analysis and Corporate Finance define a company’s operating cycle . How fast a company turns raw materials and inventory into cash can strengthen its competitive position and raise returns. Analysts measure it with activity ratios: inventory turnover, days of inventory on hand, receivables turnover, days sales outstanding and days payable outstanding.

Days of inventory on hand (DOH) is how long stock sits before it is sold, days sales outstanding (DSO) how long customers take to pay, days payable outstanding (DPO) how long the company takes to pay suppliers.

Working capital measures
Working capitalcash tied up in the operating cycle
  • Days of inventory on hand how long stock sits
  • Days sales outstanding how long customers take to pay
  • Days payable outstanding how long the company takes to pay
  • Cash conversion cycle Memorize DOH + DSO − DPO; shorter frees cash, longer needs financing
Cash conversion cycle Memorize
CCC=DOH+DSO−DPOCCC = DOH + DSO - DPO

A shorter cash conversion cycle (CCC) means efficient inventory and collections and good payment terms from suppliers, and so less working capital. A longer cycle is a use of cash that has to be financed.

Days measures (from Financial Statement Analysis) Use it
DOH=inventorycost of sales×365,DSO=receivablesrevenue×365,DPO=payablescost of sales×365DOH = \dfrac{\text{inventory}}{\text{cost of sales}} \times 365,\quad DSO = \dfrac{\text{receivables}}{\text{revenue}} \times 365,\quad DPO = \dfrac{\text{payables}}{\text{cost of sales}} \times 365

Financial Statement Analysis defines these, often with average balances; here they are a refresher.

Rearrange itDays on hand, outstanding or payable: solve for any one
The question asks for
A company has a balance of 1.50 against an annual flow of 18.00 (the flow that matches the balance). On a 365-day basis, the days ratio is closest to:

1.50 ÷ 18.00 × 365 = 30.4167

Days (365 basis)30.4167

On your calculator
  1. 1.5÷18×365=
  1. 1.5ENTER18÷365×

ENTER enter (on the HP, puts the number on the stack)

Rearrange itCash conversion cycle: solve for any one
The question asks for
A company has days of inventory on hand of 43.8, days sales outstanding of 30.4167 and days payable outstanding of 36.5. Its cash conversion cycle, in days, is closest to:

43.8 + 30.4167 − 36.5 = 37.7167

Cash conversion cycle, days37.7167

On your calculator
  1. 43.8+30.4167−36.5=
  1. 43.8ENTER30.4167+36.5−

ENTER enter (on the HP, puts the number on the stack)

How does strategy show up in working capital?

Use it

Operating cycles differ by industry. Manufacturers source raw materials and parts to fill orders; retailers buy and sell finished goods and try to collect quickly; software and telecommunications firms hold little working capital, because they make and ship no physical goods.

A narrow product range simplifies inventory and gives the buyer more bargaining power with suppliers, both of which shorten the cycle.

Makers of large, long-term products such as aircraft may value inventory by program accounting , which looks at the profitability of a whole program rather than the cost of each unit, so deferred production costs can build up in inventory.

Declining or negative working capital can be a significant source of funding, for example to repay debt. It is a strength when it comes from bargaining power, not from paying suppliers late because cash is short.

Go deeper Why negative working capital is not always good

A negative cycle can come from bargaining power, as when customers pay up front and suppliers accept long terms, or from distress, as when a company stretches suppliers because it cannot pay. The first is a durable source of funding; the second ends when suppliers tighten their terms. Check which by reading the payables trend next to cash and profit.

Memorize this

MemorizeWhich margin when?

MarginUse it forWatch out
Netthe full result for shareholdersleverage, taxes, one-offs, losses
Operatingcore profit across firms and yearsD&A differs with investment policy
EBITDAfirms with different leverage, taxes, investmentnot IFRS or GAAP; adjustments vary

Memory hook Peel from the bottom: net adds financing and tax, operating adds D&A, EBITDA strips both.

Know it cold Different leverage, taxes and investment policies → compare EBITDA margins.

MemorizeOperating leverage and the cycle

ItemRule
Operating profitQ×(P−VC)−FCQ \times (P - VC) - FC
More fixed costsprofit moves more than revenue, both ways
CCCDOH+DSO−DPODOH + DSO - DPO
Higher DPOshorter cycle, less cash tied up
Longer cyclemore financing needed

Memory hook Inventory and receivables hold cash; payables lend it to you.

Know it cold Only variable costs → profit moves exactly with revenue.

Three ways to measure profit
Revenueeach level expressed as a margin of revenue
  • EBITDA Memorize before D&A; compares leverage, taxes, investment policies; not IFRS or GAAP
    • Operating income Memorize after D&A; core profit; distorted by investment policy
      • Net income Memorize after financing, non-operating items, taxes; complete but hard to compare
Working capital measures
Working capitalcash tied up in the operating cycle
  • Days of inventory on hand how long stock sits
  • Days sales outstanding how long customers take to pay
  • Days payable outstanding how long the company takes to pay
  • Cash conversion cycle Memorize DOH + DSO − DPO; shorter frees cash, longer needs financing
Profit margins Memorize
Net margin=net incomerevenue,Operating margin=operating incomerevenue,EBITDA margin=EBITDArevenue\text{Net margin} = \dfrac{\text{net income}}{\text{revenue}},\quad \text{Operating margin} = \dfrac{\text{operating income}}{\text{revenue}},\quad \text{EBITDA margin} = \dfrac{\text{EBITDA}}{\text{revenue}}
Quick example

Revenue 500, EBITDA 100, D&A 45, interest 25, tax 25%. EBITDA margin 20.0%; operating income 55, 11.0%; net income (55 − 25) × 0.75 = 22.5, 4.5%.

On your calculator
  1. 100−45=÷500= 0.11
  2. 55−25=×0.75=÷500= 0.045
  1. 100ENTER45−500÷ 0.11
  2. 55ENTER25−0.75×500÷ 0.045

ENTER enter (on the HP, puts the number on the stack)

Operating profit Memorize
Operating profit=[Q×(P−VC)]−FC\text{Operating profit} = [Q \times (P - VC)] - FC
Quick example

A firm sells 2.0 million units at 12 with variable cost of 7 and fixed costs of 6.0 million. 2.0 × (12 − 7) − 6.0 = 4.0 million.

On your calculator
  1. 2×(12−7)−6= 4
  1. 12ENTER7−2×6− 4

ENTER enter (on the HP, puts the number on the stack)

Cash conversion cycle Memorize
CCC=DOH+DSO−DPOCCC = DOH + DSO - DPO
Quick example

DOH 58, DSO 32, DPO 40. 58 + 32 − 40 = 50 days. Negative means suppliers fund the operating cycle.

On your calculator
  1. 58+32−40= 50
  1. 58ENTER32+40− 50

ENTER enter (on the HP, puts the number on the stack)

Days measures (from Financial Statement Analysis) Use it
DOH=inventorycost of sales×365,DSO=receivablesrevenue×365,DPO=payablescost of sales×365DOH = \dfrac{\text{inventory}}{\text{cost of sales}} \times 365,\quad DSO = \dfrac{\text{receivables}}{\text{revenue}} \times 365,\quad DPO = \dfrac{\text{payables}}{\text{cost of sales}} \times 365
Quick example

Inventory 1.2, receivables 1.5, payables 1.0; revenue 18.0, cost of sales 10.0. DOH 1.2 ÷ 10.0 × 365 = 43.8; DSO 1.5 ÷ 18.0 × 365 = 30.4; DPO 1.0 ÷ 10.0 × 365 = 36.5 days. Inventory and payables go with cost of sales, receivables with revenue.

On your calculator
  1. 1.2÷10×365= 43.8
  2. 1.5÷18×365= 30.4167
  3. 1÷10×365= 36.5
  1. 1.2ENTER10÷365× 43.8
  2. 1.5ENTER18÷365× 30.4167
  3. 1ENTER10÷365× 36.5

ENTER enter (on the HP, puts the number on the stack)

How it is asked

  1. Operating profit from price, cost and units

    P 40, VC 26, 100,000 units, FC 0.9 million. Operating profit?

    Each unit earns 14 above its variable cost: 14 × 100,000 = 1.4m; less 0.9m = 0.5m. The trap is 1.4m (forgetting fixed costs).

  2. Profit change from a volume change

    P 40, VC 26, 100,000 units, FC 0.9m; volume −5%.

    Before 1.4m − 0.9m = 0.5m; after 95,000 × 14 − 0.9m = 0.43m: −14%.

  3. Cash conversion cycle

    DOH 25, DSO 30, DPO 70.

    DOH 25 + DSO 30 − DPO 70 = −15 days. Adding DPO (125) is the trap.

  4. Which margin?

    Compare firms with different debt, tax rates and capital spending.

    EBITDA margin. Net margin carries leverage and taxes; operating margin carries D&A.

Exam traps

  • Adding DPO in the cash conversion cycle. Payables are supplier financing, so DPO is subtracted.
  • Comparing net margins of firms with different leverage and tax rates. Use EBITDA margin for that comparison.
  • Reading a high operating margin as strength without checking investment. A firm that underinvests has low D&A today.
  • Thinking a 10% revenue rise lifts operating profit 10%. With fixed costs it lifts it by more.
  • Treating a longer cash conversion cycle as neutral. It is cash that must be financed.
  • Using revenue instead of cost of sales for inventory and payables days (the refresher formulas).

Checkpoint

4 exam-style questions. About 90 seconds each.

  1. 1A company sells 500,000 units at CHF 24 with variable costs of CHF 15 per unit and fixed operating costs of CHF 3.0 million. If unit sales rise 10%, operating profit will rise by closest to:

  2. 2A company's days of inventory on hand are 60, its days sales outstanding 45 and its days payable outstanding 50. Its cash conversion cycle is closest to:

  3. 3An analyst compares the profitability of two bus operators. One has just finished a large depot-building program funded mostly with debt; the other has invested little for years, has no debt and pays tax in a different country. To compare their operating profitability, the most appropriate measure is the:

  4. 4A machine maker's cash conversion cycle rises from 80 to 140 days, almost entirely because days of inventory on hand rose, while its sales are flat. The most likely implication is that the company:

Key takeaways

  • Net margin is complete but hard to compare; operating margin is core but sensitive to investment policy; EBITDA margin compares firms with different leverage, taxes and investment.
  • Compare cost components with peers to test the strategy and spot exposures.
  • Operating profit = Q × (P − VC) − FC; more fixed costs, bigger swings.
  • CCC = DOH + DSO − DPO; shorter frees cash, longer must be financed.
Profit margins Memorize
Net margin=net incomerevenue,Operating margin=operating incomerevenue,EBITDA margin=EBITDArevenue\text{Net margin} = \dfrac{\text{net income}}{\text{revenue}},\quad \text{Operating margin} = \dfrac{\text{operating income}}{\text{revenue}},\quad \text{EBITDA margin} = \dfrac{\text{EBITDA}}{\text{revenue}}
Quick example

Revenue 500, EBITDA 100, D&A 45, interest 25, tax 25%. EBITDA margin 20.0%; operating income 55, 11.0%; net income (55 − 25) × 0.75 = 22.5, 4.5%.

On your calculator
  1. 100−45=÷500= 0.11
  2. 55−25=×0.75=÷500= 0.045
  1. 100ENTER45−500÷ 0.11
  2. 55ENTER25−0.75×500÷ 0.045

ENTER enter (on the HP, puts the number on the stack)

Operating profit Memorize
Operating profit=[Q×(P−VC)]−FC\text{Operating profit} = [Q \times (P - VC)] - FC
Quick example

A firm sells 2.0 million units at 12 with variable cost of 7 and fixed costs of 6.0 million. 2.0 × (12 − 7) − 6.0 = 4.0 million.

On your calculator
  1. 2×(12−7)−6= 4
  1. 12ENTER7−2×6− 4

ENTER enter (on the HP, puts the number on the stack)

Cash conversion cycle Memorize
CCC=DOH+DSO−DPOCCC = DOH + DSO - DPO
Quick example

DOH 58, DSO 32, DPO 40. 58 + 32 − 40 = 50 days. Negative means suppliers fund the operating cycle.

On your calculator
  1. 58+32−40= 50
  1. 58ENTER32+40− 50

ENTER enter (on the HP, puts the number on the stack)

Days measures (from Financial Statement Analysis) Use it
DOH=inventorycost of sales×365,DSO=receivablesrevenue×365,DPO=payablescost of sales×365DOH = \dfrac{\text{inventory}}{\text{cost of sales}} \times 365,\quad DSO = \dfrac{\text{receivables}}{\text{revenue}} \times 365,\quad DPO = \dfrac{\text{payables}}{\text{cost of sales}} \times 365
Quick example

Inventory 1.2, receivables 1.5, payables 1.0; revenue 18.0, cost of sales 10.0. DOH 1.2 ÷ 10.0 × 365 = 43.8; DSO 1.5 ÷ 18.0 × 365 = 30.4; DPO 1.0 ÷ 10.0 × 365 = 36.5 days. Inventory and payables go with cost of sales, receivables with revenue.

On your calculator
  1. 1.2÷10×365= 43.8
  2. 1.5÷18×365= 30.4167
  3. 1÷10×365= 36.5
  1. 1.2ENTER10÷365× 43.8
  2. 1.5ENTER18÷365× 30.4167
  3. 1ENTER10÷365× 36.5

ENTER enter (on the HP, puts the number on the stack)

All Equities formulas, every lesson

Practice exam-style questions on Company Analysis

Questions about this lesson?

Where this comes back

Questions candidates ask

Which profit margin is best for comparing companies?

It depends on what differs. EBITDA margin compares firms with different leverage, taxes and investment policies. Operating margin shows core profitability but is affected by depreciation. Net margin is the most complete but the hardest to compare.

How do you calculate the cash conversion cycle?

Days of inventory on hand plus days sales outstanding minus days payable outstanding. A shorter cycle means less cash tied up; a longer one has to be financed.

What is operating leverage?

The proportion of fixed to variable costs. The more costs are fixed, the more operating profit and cash flow change for a given change in revenue.

Spotted an error? Tell us and we will fix it.

  1. Competitive strategy: cost leadership, differentiation and focus
  2. Company life cycle and the addressable market
  3. Revenue drivers and pricing power
  4. Operating profitability and working capital
  5. Capital investments and capital structure

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