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Financial Management and Business Data Analytics · Capital Structure and Capital Stacking

Operating, Financial and Combined Leverage Numericals

Updated 10 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 the result of a change. In a business, a small rise in sales can produce a much bigger rise in profit, because some costs do not rise with sales. The reverse also holds: a small fall in sales can wipe out profit.

Operating leverage comes from fixed operating costs such as rent, salaries and depreciation. Once these are covered, each extra rupee of contribution goes straight to EBIT. The degree of operating leverage (DOL) tells you the percentage change in EBIT for a 1% change in sales. A firm with high fixed costs has a high DOL and higher business risk.

Financial leverage comes from fixed financial charges: interest on debt and, if present, preference dividend. These are paid whatever EBIT is. The degree of financial leverage (DFL) tells you the percentage change in EPS for a 1% change in EBIT. More debt means a higher DFL and higher financial risk.

Combined leverage joins the two. The degree of combined leverage (DCL) is the percentage change in EPS for a 1% change in sales. Because DCL = DOL × DFL, a firm with both high fixed costs and heavy debt faces very large swings in EPS.

Financial leverage is favourable (trading on equity) when the return on capital employed is higher than the cost of debt. Then debt raises EPS. If it is lower, debt reduces EPS.

Key rules to remember

Degree of Operating Leverage
DOL = Contribution ÷ EBIT = % change in EBIT ÷ % change in sales
Contribution = Sales − Variable cost. EBIT = Contribution − Fixed operating cost. DOL is measured at a given sales level.
Degree of Financial Leverage
DFL = EBIT ÷ EBT = % change in EPS ÷ % change in EBIT
EBT = EBIT − Interest. With preference shares: DFL = EBIT ÷ [EBIT − Interest − Preference dividend ÷ (1 − t)].
Degree of Combined Leverage
DCL = DOL × DFL = Contribution ÷ EBT = % change in EPS ÷ % change in sales
Use EBT, not EBIT, in the denominator of the direct form.
Earnings per share
EPS = (EBT − Tax − Preference dividend) ÷ Number of equity shares
Tax is on EBT. Preference dividend is paid after tax.
Fixed costs link
Operating fixed cost = Contribution − EBIT; Interest = EBIT − EBT
Use these to find missing figures from a given DOL or DFL.

How to solve Leverage: Operating, Financial and Combined questions

Use one layout for every leverage question. It gives step marks and prevents slips.

  1. 1Write the income statement in order: Sales, Variable cost, Contribution, Fixed operating cost, EBIT, Interest, EBT, Tax, PAT, Preference dividend, Earnings for equity, EPS.
  2. 2Fill each line from the data. Compute missing items such as variable cost from a per-unit figure or contribution from a P/V ratio.
  3. 3Calculate DOL = Contribution ÷ EBIT.
  4. 4Calculate DFL = EBIT ÷ EBT (adjust for preference dividend if given).
  5. 5Calculate DCL = DOL × DFL and check it equals Contribution ÷ EBT.
  6. 6If a change in sales is given, find % change in EBIT = DOL × % change in sales, and % change in EPS = DCL × % change in sales.
  7. 7Interpret in one or two lines: state what the leverage means for business risk, financial risk and total risk.

Quickest way: Shortcut with degrees of leverage

When to use it: Use when the question gives a % change in sales and asks for the new EBIT or EPS, and the base figures are known.

  1. Compute the base DOL, DFL and DCL once.
  2. Multiply DCL by the % change in sales to get the % change in EPS.
  3. Apply that % to base EPS to get new EPS.
  4. For a check, build the full statement only for the new sales if time remains.

Common mistakes in Leverage: Operating, Financial and Combined

  • Using EBIT instead of EBT in the denominator of DCL.

    DOL and DFL both feature EBIT, so students carry it over.

    Fix: Remember DCL = Contribution ÷ EBT. Cross-check with DOL × DFL.

  • Using sales instead of contribution in DOL.

    Sales is the first figure in the statement.

    Fix: DOL always needs contribution. Subtract variable cost first.

  • Ignoring preference dividend in DFL.

    Students treat only interest as a financial charge.

    Fix: Convert preference dividend to a pre-tax amount by dividing by (1 − t) and add it to interest in the denominator.

  • Deducting fixed cost from sales to get contribution.

    Confusion between contribution and EBIT.

    Fix: Contribution = Sales − Variable cost only. Fixed cost comes after.

  • Giving no interpretation.

    Students stop once the numbers are found.

    Fix: Add a line: DOL shows business risk, DFL shows financial risk, DCL shows total risk.

  • Treating leverage as constant at all sales levels.

    The degrees are quoted as single numbers.

    Fix: State that the degree applies at the given base level and changes when sales change.

Worked examples

Example 1

Ravi Textiles has sales of ₹10,00,000, variable cost of ₹6,00,000 and fixed operating cost of ₹2,00,000. It has 10% debentures of ₹5,00,000. Calculate DOL, DFL and DCL. If sales rise by 10%, find the % change in EBIT and EPS.

Show the solution
  1. Contribution = 10,00,000 − 6,00,000 = ₹4,00,000.
  2. EBIT = 4,00,000 − 2,00,000 = ₹2,00,000.
  3. Interest = 10% × 5,00,000 = ₹50,000. EBT = 2,00,000 − 50,000 = ₹1,50,000.
  4. DOL = 4,00,000 ÷ 2,00,000 = 2.
  5. DFL = 2,00,000 ÷ 1,50,000 = 1.33 (4/3).
  6. DCL = 2 × 4/3 = 2.67. Check: 4,00,000 ÷ 1,50,000 = 2.67.
  7. % change in EBIT = 2 × 10% = 20%.
  8. % change in EPS = 2.67 × 10% = 26.67%.

Answer: DOL = 2, DFL = 1.33, DCL = 2.67. A 10% rise in sales raises EBIT by 20% and EPS by about 26.67%.

Example 2

Meera Ltd has EBIT of ₹6,00,000. It has ₹10,00,000 of 12% debt and 20,000 equity shares. The tax rate is 25%. Calculate the DFL and EPS. Then find EPS if EBIT falls by 20%.

Show the solution
  1. Interest = 12% × 10,00,000 = ₹1,20,000.
  2. EBT = 6,00,000 − 1,20,000 = ₹4,80,000.
  3. Tax = 25% × 4,80,000 = ₹1,20,000. PAT = ₹3,60,000.
  4. EPS = 3,60,000 ÷ 20,000 = ₹18.
  5. DFL = 6,00,000 ÷ 4,80,000 = 1.25.
  6. % change in EPS = 1.25 × (−20%) = −25%.
  7. New EPS = 18 × (1 − 0.25) = ₹13.50.
  8. Check: new EBIT = 4,80,000; EBT = 3,60,000; PAT = 2,70,000; EPS = 2,70,000 ÷ 20,000 = ₹13.50.

Answer: DFL = 1.25, EPS = ₹18. A 20% fall in EBIT cuts EPS by 25% to ₹13.50.

Exam tips

  • Always draw the full income statement first. Even if only DCL is asked, the layout earns step marks.
  • In MCQs, check the denominator: DOL uses EBIT, DFL uses EBIT over EBT, DCL uses EBT. Wrong options are often built from these slips.
  • If DOL and DFL are given with a % change in sales, multiply them and apply the result to EPS directly.
  • In written answers, add a short comment on business risk, financial risk and what the firm should do about the combined risk.
  • Be ready to explain the difference between operating and financial leverage in 3-4 points: cause, cost type, measure and risk.

Practice questions from Capital Structure and Capital Stacking

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

How do I calculate the degree of operating leverage?

Divide contribution by EBIT. Contribution is sales minus variable cost. A DOL of 2 means a 1% change in sales changes EBIT by 2%.

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 financing charges like interest and links EBIT to EPS. The first relates to business risk, the second to financial risk.

Why is DCL equal to DOL × DFL?

DOL gives the effect of sales on EBIT and DFL gives the effect of EBIT on EPS. Multiplying them gives the effect of sales on EPS. The contribution and EBIT terms cancel, leaving Contribution ÷ EBT.

Can financial leverage be harmful?

Yes. If the return on capital employed is below the cost of debt, adding debt lowers EPS. Fixed interest must also be paid even when EBIT is low, which raises the risk of insolvency.