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Corporate Accounting and Financial Management · Capital Structure

Operating, Financial and Combined Leverage Formulas and Problems

Updated 11 October 2026 · Fact-checked

Leverage measures how fixed costs magnify changes in profit. Operating leverage (DOL = Contribution ÷ EBIT) shows how sales changes affect EBIT. Financial leverage (DFL = EBIT ÷ EBT) shows how EBIT changes affect EPS. Combined leverage (DCL = DOL × DFL = Contribution ÷ EBT) shows the total effect of sales on EPS.

Understand Leverage: Operating, Financial and Combined

Leverage means using a fixed cost to magnify returns. Fixed costs do not change when sales change. So when sales rise, profit rises by a larger percentage. When sales fall, profit falls by a larger percentage. This works in both directions.

Operating leverage comes from fixed operating costs such as rent, salaries and depreciation. It links sales to EBIT (earnings before interest and tax). The more fixed cost a firm has, the higher its operating leverage and its business risk.

Financial leverage comes from fixed financial costs: interest on debt and preference dividend. It links EBIT to EPS (earnings per share). More debt means higher financial leverage and higher financial risk.

Combined leverage joins the two. A small change in sales moves EBIT through operating leverage, and that EBIT change moves EPS through financial leverage. So DCL = DOL × DFL.

The degree of leverage is a multiple. A DOL of 3 means a 10% rise in sales gives a 30% rise in EBIT, as long as the cost structure stays the same. Treat each degree as valid only at the sales level for which you calculated it.

Key rules to remember

Contribution
Contribution = Sales − Variable cost
Fixed costs are not deducted here.
EBIT
EBIT = Contribution − Fixed operating cost
Fixed operating cost excludes interest.
EBT
EBT = EBIT − Interest
Interest is the fixed financial cost.
Degree of Operating Leverage (DOL)
DOL = Contribution ÷ EBIT = % change in EBIT ÷ % change in sales
Works only when EBIT is positive. DOL is undefined at EBIT = 0 (the break-even point).
Degree of Financial Leverage (DFL)
DFL = EBIT ÷ EBT = % change in EPS ÷ % change in EBIT
If preference shares exist, DFL = EBIT ÷ [EBIT − Interest − Preference dividend ÷ (1 − t)], where t is the tax rate.
Degree of Combined Leverage (DCL)
DCL = DOL × DFL = Contribution ÷ EBT = % change in EPS ÷ % change in sales
Shows the total risk: business plus financial.
Percentage change
% change in EBIT = DOL × % change in sales; % change in EPS = DFL × % change in EBIT = DCL × % change in sales
Use these to forecast profit changes.

How to solve Leverage: Operating, Financial and Combined questions

Build the income statement down to EBT first. Every degree of leverage then follows from three figures: contribution, EBIT and EBT.

  1. 1List the given data: sales, variable cost, fixed cost, interest, preference dividend, tax rate and number of shares.
  2. 2Find contribution = sales − variable cost. If you are given units, use contribution per unit × units.
  3. 3Find EBIT = contribution − fixed operating cost.
  4. 4Find EBT = EBIT − interest. If preference dividend is given, handle it separately as in the DFL formula.
  5. 5Calculate DOL = contribution ÷ EBIT and DFL = EBIT ÷ EBT.
  6. 6Calculate DCL = DOL × DFL, and check it equals contribution ÷ EBT.
  7. 7If the question gives a % change in sales, multiply by the right degree to get the % change in EBIT or EPS.
  8. 8Write a one-line interpretation, for example what a DOL of 2 means for the firm's risk.

Quickest way: Three-figure shortcut

When to use it: Use this when the question gives a simple statement of sales, costs and interest and asks for all three degrees.

  1. Write three lines only: Contribution, EBIT, EBT.
  2. Compute DOL = C ÷ EBIT, DFL = EBIT ÷ EBT, DCL = C ÷ EBT.
  3. Cross-check that DOL × DFL equals DCL. If not, you have an arithmetic slip.
  4. For a forecast, multiply the % change in sales by DCL to get the % change in EPS.

Common mistakes in Leverage: Operating, Financial and Combined

  • Using sales instead of contribution in DOL.

    Students confuse the sales figure with the figure before fixed costs.

    Fix: DOL always has contribution (sales − variable cost) in the numerator.

  • Deducting interest while finding EBIT.

    Interest looks like any other expense.

    Fix: Interest is a financial cost. It comes off only after EBIT, to reach EBT.

  • Including interest in fixed cost for DOL.

    The question lists all fixed charges together.

    Fix: Separate fixed operating cost from interest. Only operating cost belongs in the EBIT calculation.

  • Ignoring preference dividend in DFL.

    It is not an interest charge.

    Fix: Preference dividend is a fixed financial charge paid after tax. Gross it up by ÷ (1 − t) before deducting it from EBIT.

  • Writing DCL as DOL + DFL.

    Students think the two effects add.

    Fix: They multiply. DCL = DOL × DFL.

  • Not interpreting the answer.

    The number feels like the end of the question.

    Fix: Add a sentence: a higher degree means higher risk, and it applies only at the given sales level.

Worked examples

Example 1

A company sells 10,000 units at ₹100 each. Variable cost is ₹60 per unit. Fixed operating cost is ₹2,00,000. Interest is ₹1,00,000. Calculate DOL, DFL and DCL.

Show the solution
  1. Sales = 10,000 × ₹100 = ₹10,00,000.
  2. Variable cost = 10,000 × ₹60 = ₹6,00,000.
  3. Contribution = ₹10,00,000 − ₹6,00,000 = ₹4,00,000.
  4. EBIT = ₹4,00,000 − ₹2,00,000 = ₹2,00,000.
  5. EBT = ₹2,00,000 − ₹1,00,000 = ₹1,00,000.
  6. DOL = 4,00,000 ÷ 2,00,000 = 2.
  7. DFL = 2,00,000 ÷ 1,00,000 = 2.
  8. DCL = 2 × 2 = 4. Check: 4,00,000 ÷ 1,00,000 = 4.

Answer: DOL = 2, DFL = 2, DCL = 4. A 1% change in sales changes EPS by 4%.

Example 2

A firm has contribution of ₹6,00,000, fixed operating cost of ₹3,00,000 and interest of ₹1,00,000. Sales are expected to rise by 10%. Find the expected percentage rise in EBIT and EPS.

Show the solution
  1. EBIT = ₹6,00,000 − ₹3,00,000 = ₹3,00,000.
  2. EBT = ₹3,00,000 − ₹1,00,000 = ₹2,00,000.
  3. DOL = 6,00,000 ÷ 3,00,000 = 2.
  4. DFL = 3,00,000 ÷ 2,00,000 = 1.5.
  5. DCL = 2 × 1.5 = 3.
  6. % rise in EBIT = 2 × 10% = 20%.
  7. % rise in EPS = 1.5 × 20% = 30%, which equals DCL × 10% = 30%.

Answer: EBIT rises by 20% and EPS rises by 30%.

Exam tips

  • Always show contribution, EBIT and EBT as separate lines. Marks are given for each step.
  • Write the formula before substituting numbers.
  • End with a short interpretation linking DOL to business risk and DFL to financial risk.
  • Be ready for the theory question on the difference between operating and financial leverage. Cover cause, formula, what it links and which risk it measures.
  • If the question mentions preference shares or tax, check whether the DFL formula needs the adjusted version.

Practice questions from Capital Structure

Leverage: Operating, Financial and Combined in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Leverage: Operating, Financial and Combined: frequently asked questions

What is the difference between operating leverage and financial leverage?

Operating leverage arises from fixed operating costs and links sales to EBIT. Financial leverage arises from fixed financial costs such as interest and links EBIT to EPS. The first measures business risk and the second measures financial risk.

How do I calculate the degree of operating leverage?

Divide contribution by EBIT. Contribution is sales minus variable cost. You can also divide the percentage change in EBIT by the percentage change in sales.

Why is combined leverage the product of DOL and DFL?

A sales change first moves EBIT by the DOL multiple. That EBIT change then moves EPS by the DFL multiple. The two effects compound, so you multiply them.

Can DOL be negative or undefined?

DOL is undefined when EBIT is zero, which is the break-even point. It is negative when EBIT is negative. In such cases the figure has little meaning, so state that in your answer.