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Combined leverage measures how fixed operating costs and interest amplify a change in sales. Calculate each leverage ratio from a cost workbook, then prove the combined result against a revenue scenario.
Combined financial and operating leverage measures how strongly pretax earnings move when sales change. Multiply operating leverage by financial leverage, or divide contribution margin by pretax income. The sensitivity depends on unchanged cost assumptions.
Separate variable and fixed operating costs:
Contribution margin = Sales − Variable operating costs
EBIT = Contribution margin − Fixed operating costs
Pretax income = EBIT − Interest
Degree of operating leverage, DOL = Contribution margin / EBIT
Degree of financial leverage, DFL = EBIT / Pretax income
Degree of combined leverage, DCL = DOL × DFL = Contribution margin / Pretax income
EBIT means earnings before interest and taxes. This version assumes no preferred dividends or other nonoperating items. It measures pretax income, excluding share issuance effects.
Fixed costs explain the operating effect: contribution grows with sales while fixed costs stay unchanged. OpenStax's operating leverage explanation shows how that structure magnifies operating earnings changes. The shorter definition belongs to the operating leverage glossary.
For financing, keep the interest schedule separate from operating costs. CFA Institute's capital structure reading distinguishes long-term debt and equity financing and discusses taxes and financial distress. The leverage calculation here isolates the earnings effect of a fixed interest commitment.
An illustrative US packaging company's annual workbook uses net revenue after credits. Its cost export classifies expenses by behavior over the expected volume range.
| Source rows | Classification | Amount (USD) |
|---|---|---|
| Product A net sales | Revenue | 6,000,000 |
| Product B net sales | Revenue | 4,000,000 |
| Product A volume-dependent costs | Variable operating costs | 3,600,000 |
| Product B volume-dependent costs | Variable operating costs | 2,400,000 |
| Salaried production and administration | Fixed operating costs | 1,200,000 |
| Facility occupancy | Fixed operating costs | 500,000 |
| Depreciation | Fixed operating costs | 300,000 |
| Debt schedule interest | Financing expense | 500,000 |
Finance reconciles the ledger, operations confirms cost behavior, and treasury confirms interest. The contribution margin ratio page covers classification.
An account name alone cannot establish cost behavior. Separate guaranteed staffing from overtime using documented agreements or operating assumptions.
These subtotals follow from the source rows. Dollar amounts are exact; ratios are rounded to three decimals.
| Step | Calculation | Result (USD unless % or ratio) |
|---|---|---|
| Sales (USD) | 6,000,000 + 4,000,000 | 10,000,000 |
| Variable costs (USD) | 3,600,000 + 2,400,000 | 6,000,000 |
| Contribution margin (USD) | 10,000,000 − 6,000,000 | 4,000,000 |
| Contribution margin rate | 4,000,000 / 10,000,000 | 40.0% |
| Fixed operating costs (USD) | 1,200,000 + 500,000 + 300,000 | 2,000,000 |
| EBIT (USD) | 4,000,000 − 2,000,000 | 2,000,000 |
| Pretax income (USD) | 2,000,000 − 500,000 | 1,500,000 |
| DOL | 4,000,000 / 2,000,000 | 2.000 |
| DFL | 2,000,000 / 1,500,000 | 1.333 |
| DCL | 4,000,000 / 1,500,000 | 2.667 |
Use unrounded ratios for the proof:
(Contribution margin / EBIT) × (EBIT / Pretax income) = Contribution margin / Pretax income
EBIT cancels, proving equality. Retain full precision when multiplying ratios; displayed rounding can create small differences.
Hold product mix, prices, variable cost rates, fixed costs and interest constant. Increase sales by 10.0%, then run a separate 10.0% decline from the same starting point.
| Measure | Starting case (USD unless %) | Sales up 10.0% (USD unless %) | Sales down 10.0% (USD unless %) |
|---|---|---|---|
| Sales (USD) | 10,000,000 | 11,000,000 | 9,000,000 |
| Variable costs, 60.0% of sales (USD) | 6,000,000 | 6,600,000 | 5,400,000 |
| Contribution margin (USD) | 4,000,000 | 4,400,000 | 3,600,000 |
| Fixed operating costs (USD) | 2,000,000 | 2,000,000 | 2,000,000 |
| EBIT (USD) | 2,000,000 | 2,400,000 | 1,600,000 |
| Interest (USD) | 500,000 | 500,000 | 500,000 |
| Pretax income (USD) | 1,500,000 | 1,900,000 | 1,100,000 |
| EBIT change from starting case | — | 20.0% | −20.0% |
| Pretax income change from starting case | — | 26.7% | −26.7% |
The increase in pretax income is (1,900,000 − 1,500,000) / 1,500,000 = 26.7%, rounded to one decimal place. Unrounded DCL multiplied by the 10.0% sales increase gives the same result. The downside check works identically.
This is exact for the linear assumptions shown. A price cut, a product mix change or a new staffing shift needs its own cost scenario; the starting DCL alone cannot describe it.
The operating team can use the sensitivity to compare fixed capacity commitments with variable purchasing or staffing arrangements. Treasury can see how a financing commitment adds earnings exposure. The operating versus financial leverage comparison separates those decisions.
There are also distinct break-even points. Operating break-even sales are 2,000,000 / 40.0% = $5,000,000. Pretax break-even sales are (2,000,000 + 500,000) / 40.0% = $6,250,000. Between them, operations cover fixed operating costs but not all interest.
Neither threshold proves sufficient cash. Depreciation is noncash, while debt principal and capital spending are absent. Tax expense also requires a separate schedule: the IRS explains that business interest deductions can be limited, so a constant after-tax multiplier needs confirmation.
Bring a revenue and cost workbook with fixed-cost classifications, interest and prepared scenarios. Covirage maps the columns, and its tools compute and check the supplied revenue, cost and earnings figures; the external AI model explains the results with every figure traced to its rows. Create a free Covirage account in about a minute, then set up your business and bring a sample of your own data.
See how this supports finance teams reviewing earnings sensitivity.
Operating leverage comes from fixed operating costs and links sales changes to operating earnings changes. Financial leverage comes from financing commitments, such as interest, and links operating earnings changes to pretax earnings changes. Combined leverage joins those two sensitivities for the same starting period.
Yes. A positive contribution margin divided by a pretax loss gives a negative ratio. That result needs careful explanation because a percentage movement against a loss is difficult to interpret. Show the dollar earnings scenarios beside the ratio rather than treating the sign as a risk ranking.
No. The calculation measures earnings sensitivity under stated cost assumptions. Collections, supplier payments, capital spending, debt principal and tax timing can change cash independently. Prepare a separate cash schedule before using an earnings scenario to decide whether the company can meet its obligations.
Recalculate it when the starting revenue level, contribution margin, fixed costs or interest changes. A new facility, a refinancing or a shift in product mix can make the previous ratio unsuitable. Keep the calculation tied to an identified budget or actual reporting period.