Operating Leverage
How a change in sales amplifies into a larger change in profit — DOL, DFL, and DCL.
A 1% change in sales moves EBIT by about 2.50%. Fixed costs are what create this amplification.
A 1% change in EBIT moves pre-tax profit by about 1.33%. Interest is the fixed cost doing this.
DOL × DFL. A 1% change in sales moves pre-tax profit by roughly 3.33% once both effects compound.
Break-even is 6000 units; you are above it.
Leverage cuts both ways. High DOL means profits rise sharply as volume grows and collapse just as sharply when it falls, which is why capital-intensive firms suffer most in a downturn. The figures are local — they describe sensitivity at the current volume, not across the whole range.
Operating leverage measures how sharply profit responds to sales. With 200,000 of contribution against 120,000 of fixed costs, EBIT is 80,000 and the degree of operating leverage is 2.5 — so a 10% rise in sales lifts EBIT by about 25%.
Fixed costs are what create the amplification
If every cost were variable, profit would rise and fall exactly in step with sales — a 10% increase in volume would give a 10% increase in profit. Fixed costs break that proportionality. Once they are covered, each additional unit contributes its full margin straight to profit, so profit grows faster than sales.
The degree of operating leverage puts a number on this. A DOL of 2.5 means each 1% change in sales moves EBIT by about 2.5%. The higher the fixed-cost base relative to contribution, the higher the DOL.
Financial leverage does the same thing again
Interest is also a fixed cost, sitting below EBIT. The degree of financial leverage measures how changes in EBIT amplify into changes in pre-tax profit, and it works identically — the amplification comes from having a fixed charge that does not shrink when earnings fall.
Multiply the two and you get the degree of combined leverage: the total amplification from a change in sales all the way through to the bottom line. In the example, DOL of 2.5 and DFL of 1.33 combine to 3.33, so a 10% sales decline would cut pre-tax profit by about a third.
Contribution is units × (price − variable cost). All three are measured at a specific sales volume and change as volume changes.
Worked example: 10,000 units
Build up from contribution, then take the two ratios:
- 1 Find contribution per unit. Price 50 − variable cost 30 = 20 per unit.
- 2 Total the contribution. 10,000 units × 20 = 200,000.
- 3 Subtract fixed costs for EBIT. 200,000 − 120,000 = 80,000.
- 4 Take DOL. 200,000 ÷ 80,000 = 2.5. Every 1% of sales growth becomes 2.5% of EBIT growth.
- 5 Subtract interest for pre-tax profit. 80,000 − 20,000 = 60,000.
- 6 Take DFL and combine. 80,000 ÷ 60,000 = 1.33; DCL = 2.5 × 1.33 = 3.33.
What leverage does at different volumes
The same cost structure at different sales volumes. Leverage is highest just above break-even and falls as volume grows.
| Units | Contribution | EBIT | DOL |
|---|---|---|---|
| 6,000 | 120,000 | 0 | Undefined — break-even |
| 7,000 | 140,000 | 20,000 | 7.00 |
| 8,000 | 160,000 | 40,000 | 4.00 |
| 10,000 | 200,000 | 80,000 | 2.50 |
| 15,000 | 300,000 | 180,000 | 1.67 |
| 20,000 | 400,000 | 280,000 | 1.43 |
Leverage is a local measurement
The table shows something easy to miss: DOL is not a fixed property of a business. It depends on where you are relative to break-even. Just above break-even the amplification is enormous — at 7,000 units a 1% sales change swings EBIT by 7% — and it falls steadily as volume grows and fixed costs are spread thinner.
At break-even itself, DOL is undefined, because EBIT is zero and the ratio has no meaning. This is not a flaw in the calculation; it reflects that a firm exactly at break-even experiences an infinite percentage change in profit from any movement at all.
The strategic point is that leverage is symmetric. A software company with high fixed development costs and near-zero marginal cost has enormous operating leverage, which is wonderful while it is growing and brutal when it is not. A consultancy paying people per project has low leverage — it captures less upside but shrinks its costs alongside its revenue. Neither structure is better; they suit different levels of demand certainty. Combining high operating leverage with high financial leverage is what makes earnings genuinely volatile, which is why capital-intensive firms typically borrow less than their asset base might suggest they could.