Leverage Analysis: Operating, Financial and Combined Leverage, EBIT-EPS (Basics)

Overview

Leverage shows how a change in sales or operating profit can cause a larger change in profits available to shareholders. In simple terms:

• Operating leverage arises from fixed operating costs (rent, depreciation).
• Financial leverage arises from fixed financial charges (interest, preference dividend).
• Combined leverage captures both effects.

This topic is very scoring because formulas and interpretation are standard. The key is to clearly show: sales → contribution → EBIT → EBT → EAT → EPS

Learning objectives

You should be able to:

• Define leverage and list types.
• Compute DOL, DFL, DCL using basic formulas.
• Interpret leverage: high leverage = high risk and higher potential return.
• Do a basic EBIT–EPS comparison between financing plans.
• Present answers with bold keywords, working steps and small tables.

Meaning of leverage

Leverage means use of fixed costs (operating or financial) so that a small change in sales/EBIT produces a larger change in profit or EPS.

Exam line: Leverage is the degree of sensitivity of profit (or EPS) to changes in sales (or EBIT).

Types of leverage: operating, financial, combined

Operating leverage (DOL): concept + formula

Concept

If a firm has high fixed operating costs, then a small sales change causes a bigger change in EBIT.

Formula (basic)

$DOL = \frac{\% \Delta EBIT}{\% \Delta Sales}$ Also commonly: $DOL = \frac{Contribution}{EBIT}$ Where: Contribution = Sales − Variable cost EBIT = Contribution − Fixed operating cost

Interpretation:

• Higher DOL → higher operating risk.

Financial leverage (DFL): concept + formula

Concept

If a firm uses debt (interest), then changes in EBIT cause larger changes in EPS (after interest).

Formula (basic)

$DFL = \frac{\% \Delta EPS}{\% \Delta EBIT}$ Common working formula: $DFL = \frac{EBIT}{EBIT - Interest}$ (Ignoring preference dividends and taxes for basics unless asked.)

Interpretation:

• Higher DFL → higher financial risk.

Combined leverage (DCL): concept + formula

Combined leverage shows total sensitivity of EPS to sales: $DCL = DOL \times DFL$ Also: $DCL = \frac{Contribution}{EBIT - Interest}$ Interpretation: High DCL means EPS is very sensitive to sales changes.

Risk: operating risk vs financial risk (table)

EBIT–EPS analysis (basic idea + steps)

EBIT–EPS analysis compares financing plans (more debt vs more equity) by calculating EPS at different EBIT levels.

Steps:

1. Start with given EBIT
2. Less: Interest = EBT
3. Less: tax = EAT
4. Divide by number of equity shares → EPS

Decision idea:

• high-debt plan may give higher EPS when EBIT is high, but lower EPS when EBIT is low (risk-return trade-off).

Mini worked examples

Example 1: DOL

Sales = 10,00,000; Variable cost = 6,00,000 → Contribution = 4,00,000
Fixed cost = 3,00,000 → EBIT = 1,00,000
DOL = Contribution/EBIT = 4,00,000/1,00,000 = 4

Example 2: DFL

EBIT = 2,00,000; Interest = 50,000
DFL = EBIT/(EBIT−Interest) = 2,00,000/1,50,000 = 1.33

Example 3: DCL

DCL = DOL×DFL = 4×1.33 ≈ 5.32

Common exam mistakes (and fixes)

• Mixing up contribution and profit: contribution = sales − variable cost.
• Using EBIT instead of EBT for EPS logic: EPS depends on interest and tax.
• Forgetting fixed costs when computing EBIT.
• No interpretation: always write “higher leverage = higher risk”.

Quick recap (1-minute revision)

• Leverage = fixed costs cause amplified profit/EPS changes.
• DOL = Contribution/EBIT (operating risk).
• DFL = EBIT/(EBIT−Interest) (financial risk).
• DCL = DOL×DFL (total sensitivity).
• EBIT–EPS compares financing plans; debt increases risk and potential EPS when EBIT is high.