Combined Leverage Calculator
Model how a percentage change in sales relates to EBIT and EPS changes through operating and financial leverage.
How combined leverage works
Enter degree of operating leverage (DOL), degree of financial leverage (DFL), and the percentage change in sales. DOL and DFL are coefficients, not percentages. Enter 10 for a 10% sales increase or −10 for a 10% decrease.
Degree of combined leverage (DCL) is DOL multiplied by DFL. The modeled EBIT percentage change is DOL multiplied by the sales percentage change. The modeled EPS percentage change is DCL multiplied by that sales change.
For DOL 4 and DFL 1.25, DCL is 5. A 10% sales increase maps to a 40% EBIT increase and a 50% EPS increase under the model. A 10% decrease maps to −40% EBIT and −50% EPS.
These are sensitivities at one baseline, assuming the business cost structure, financing, tax treatment, and share count stay fixed. The calculator uses the supplied coefficients and does not verify how they were derived.
Step by step
- Enter DOL and DFL coefficients from the same baseline and period.
- Enter the sales percentage change, such as 10 for an increase of 10%.
- Review DCL and the modeled EBIT and EPS percentage changes.
Worked example
With DOL 4, DFL 1.25, and a 10% sales increase, DCL is 4 × 1.25 = 5. The model gives a 40% EBIT change and a 50% EPS change. With a 10% sales decrease, the modeled changes are −40% for EBIT and −50% for EPS.
The percentages are sensitivity results from the entered coefficients. They are not dollar changes and do not predict actual earnings when costs, financing, taxes, or share count change.
When to use this calculator
Use DCL to examine the modeled relationship between sales changes and EPS changes when DOL and DFL come from the same baseline.
Review the underlying operating and financing calculations when you need to understand where a coefficient came from. This tool does not assess financing choices or estimate future earnings.
Common input errors
Enter DOL and DFL as coefficients, for example 4 and 1.25, not as 400% and 125%. Enter a sales change of 10 for 10%, or −10 for a 10% decrease.
Do not combine leverage coefficients from different periods or operating baselines. A mismatch can make the multiplication uninformative. Check the source calculation and confirm its denominator is nonzero.
Formula and units
DCL = DOL × DFL
% change in EBIT = DOL × % change in sales
% change in EPS = DCL × % change in sales
DOL and DFL are dimensionless coefficients. Sales change is entered as a percentage value, so 10 means 10%, not 0.10. The outputs are modeled percentage changes, not currency amounts or a forecast.
Assumptions and limitations
The calculator multiplies supplied DOL and DFL coefficients and applies the result to a sales percentage change. It does not verify the underlying ratios or their denominators. Use coefficients calculated for the same baseline and period. The model holds business costs, financing, tax treatment, and share count constant. It is a sensitivity calculation, not a company forecast, risk rating, or borrowing advice. Percentage EPS change is not meaningful when the baseline EPS is zero.
Key terms
- Degree of combined leverage (DCL)
- The product of DOL and DFL. In this model it maps a sales percentage change to a modeled EPS percentage change.
- Degree of operating leverage (DOL)
- A supplied coefficient relating a percentage change in sales to an EBIT percentage change at a stated operating baseline.
- Degree of financial leverage (DFL)
- A supplied coefficient relating an EBIT change to an EPS change under stated financing, tax, and share assumptions.
Related calculations
The Operating Leverage Calculator derives DOL from sales, variable costs, and fixed costs at a baseline. The Financial Leverage Calculator derives DFL from EBIT, interest, tax rate, and shares. This calculator combines supplied DOL and DFL coefficients.
Use the related calculations only when their inputs describe the same business baseline and period. Their outputs do not establish that future costs, financing, or sales will follow the same pattern.
FAQ
What does DCL measure?
DCL is the product of DOL and DFL. In this model it links a percentage change in sales to a modeled percentage change in EPS, while DOL separately maps the sales change to EBIT. It is a sensitivity relationship under fixed assumptions.
How should I obtain DOL and DFL?
Calculate both at the same baseline business activity and for the same reporting period. DOL depends on operating costs and EBIT. DFL depends on EBIT and financing costs. This calculator accepts the coefficients but does not check their source calculations or denominators.
Do the DCL bands indicate risk?
No. The labels only describe numeric ranges: below 1.5, from 1.5 through 3, or above 3. They are not risk grades, safety thresholds, or investment guidance. Negative coefficients remain signed and are not ranked by risk.
Is the result a forecast?
No. It applies the stated coefficients to a sales change while holding the baseline cost structure, financing, tax treatment, and share count fixed. Actual results can differ when those conditions change.
What does a negative result mean?
The sign shows the direction produced by the entered coefficients and sales change. For example, with positive DOL and DFL, a sales decline gives negative modeled EBIT and EPS changes. A negative coefficient can reverse that direction; the tool does not decide whether the underlying inputs are meaningful.
Related tools
Use the Operating Leverage Calculator to calculate DOL and the Financial Leverage Calculator to calculate DFL from their respective inputs. Combined leverage multiplies those coefficients; it does not replace reviewing the underlying assumptions.