flowchart LR S[Sales] --DOL--> E[EBIT] E --DFL--> EPS[EPS] S --DCL = DOL × DFL--> EPS style S fill:#E3F2FD,stroke:#1565C0 style E fill:#FFF3E0,stroke:#EF6C00 style EPS fill:#E8F5E9,stroke:#1B5E20
44 Leverages and EBIT-EPS Analysis
44.1 What is Leverage?
In finance, leverage is the use of fixed costs — operating or financial — to magnify the impact of changes in revenue on a firm’s earnings. The metaphor is mechanical — a small movement at one end produces a larger movement at the other. James Horne’s classic phrasing: “Leverage is the employment of an asset or funds for which the firm pays a fixed cost or fixed return” (horne2019?).
Three flavours of leverage are tested.
TipThree Types of Leverage
| Leverage | What it captures | Driver |
|---|---|---|
| Operating Leverage (OL) | How a change in sales translates into a change in EBIT (operating profit) | Fixed operating costs |
| Financial Leverage (FL) | How a change in EBIT translates into a change in EPS (or PAT) | Fixed financial costs — interest, preference dividend |
| Combined Leverage (CL) | How a change in sales translates into a change in EPS | Both fixed operating + financial costs |
44.2 Operating Leverage
The Degree of Operating Leverage (DOL) measures the sensitivity of EBIT to a change in sales:
\[\text{DOL} = \frac{\% \text{ change in EBIT}}{\% \text{ change in Sales}} = \frac{\text{Contribution}}{\text{EBIT}}\]
A high DOL means a small swing in sales produces a large swing in EBIT — desirable on the way up, painful on the way down.
TipHigh vs Low Operating Leverage
| Feature | High DOL firm | Low DOL firm |
|---|---|---|
| Cost mix | High fixed, low variable | Low fixed, high variable |
| Risk | Higher operating risk | Lower operating risk |
| Profit reaction to sales swings | Large | Small |
| Examples | Cement, airlines, telecom, hotels | Consumer goods retail |
44.3 Financial Leverage
The Degree of Financial Leverage (DFL) measures the sensitivity of EPS (or PAT) to a change in EBIT:
\[\text{DFL} = \frac{\% \text{ change in EPS}}{\% \text{ change in EBIT}} = \frac{\text{EBIT}}{\text{EBIT} - \text{Interest} - \frac{D_p}{1-t}}\]
If there are no preference shares, the second term in the denominator drops out, giving the cleaner form:
\[\text{DFL} = \frac{\text{EBIT}}{\text{EBT}}\]
A high DFL means a small change in EBIT produces a large change in EPS — the kicker of debt finance.
44.3.1 Trading on equity
When a firm borrows at a cost lower than its return on capital employed, the surplus accrues to equity. This is the trading-on-equity benefit — the textbook reason why financial leverage can lift EPS.
TipWhen Trading on Equity Works
| Condition | Effect on EPS |
|---|---|
| ROCE > Cost of Debt | EPS rises with leverage |
| ROCE = Cost of Debt | EPS unaffected |
| ROCE < Cost of Debt | EPS falls with leverage |
44.4 Combined Leverage
The Degree of Combined Leverage (DCL) stacks the two:
\[\text{DCL} = \text{DOL} \times \text{DFL} = \frac{\text{Contribution}}{\text{EBT}}\]
It captures the total sensitivity of EPS to a change in sales — the joint effect of fixed operating and fixed financial costs.
44.5 Risk Map: Operating, Financial, Total
TipRisk and Leverage
| Risk type | Measured by | Driver | Example |
|---|---|---|---|
| Operating / Business risk | Variability of EBIT | Fixed operating costs (DOL) | Capital-intensive industries |
| Financial risk | Variability of EPS given EBIT | Fixed financial costs (DFL) | High-debt firms |
| Total risk | Variability of EPS given Sales | DOL × DFL | High-fixed-cost + high-debt firms |
A managerial implication: a firm with high operating leverage should run low financial leverage — and vice versa. Stacking both produces explosive volatility in EPS.
44.6 EBIT-EPS Analysis
EBIT-EPS analysis is a graphical technique for choosing among financing alternatives by tracing the relationship between EBIT and EPS under each financing plan.
For any financing plan, EPS is computed as:
\[\text{EPS} = \frac{(\text{EBIT} - \text{Interest})(1 - t) - \text{Preference Dividend}}{\text{Number of Equity Shares}}\]
For each alternative, plot EPS on the Y-axis against EBIT on the X-axis. The result is a straight line — steeper for plans with more leverage (because more interest changes both intercept and slope).
44.6.1 Indifference Point
The indifference point is the level of EBIT at which EPS is the same under two financing alternatives. Algebraically — set the two EPS expressions equal and solve for EBIT.
For two plans (1) all-equity and (2) debt-equity mix:
\[\frac{(\text{EBIT} - 0)(1-t)}{N_1} = \frac{(\text{EBIT} - I)(1-t)}{N_2}\]
The indifference EBIT is the EBIT where the firm is neutral between the two plans. Above the indifference point, the more levered plan gives higher EPS; below it, the less levered plan does.
flowchart LR L[Low EBIT zone:<br/>Less-levered plan wins] --> IP[Indifference Point<br/>EPS equal] IP --> H[High EBIT zone:<br/>More-levered plan wins] style IP fill:#FFF8E1,stroke:#F9A825 style L fill:#FFEBEE,stroke:#C62828 style H fill:#E8F5E9,stroke:#1B5E20
44.6.2 Financial Break-even Point
The financial break-even point (FBP) is the level of EBIT at which EPS = 0. It is the EBIT just sufficient to cover all fixed financial charges:
\[\text{FBP} = \text{Interest} + \frac{\text{Preference Dividend}}{1-t}\]
44.6.3 Decision rules from EBIT-EPS analysis
TipEBIT-EPS Decision Rules
| Compare expected EBIT to | Decision |
|---|---|
| Below indifference EBIT | Choose the less-levered plan |
| Above indifference EBIT | Choose the more-levered plan |
| Around indifference EBIT | Pick on qualitative grounds — risk preference, control |
EBIT-EPS analysis ignores risk — it only compares EPS at given EBITs. The result is best read together with leverage and risk analysis.
44.7 A Worked Example
Consider a firm with two financing options:
- Plan A: ₹10 crore in equity (10 lakh shares of ₹100).
- Plan B: ₹5 crore equity (5 lakh shares of ₹100) + ₹5 crore in 12% debt.
Tax rate 30%. EBIT = ₹2 crore.
TipWorked-out EPS
| Item | Plan A (Equity) | Plan B (Debt-Equity) |
|---|---|---|
| EBIT | 2,00,00,000 | 2,00,00,000 |
| Interest | 0 | 60,00,000 |
| EBT | 2,00,00,000 | 1,40,00,000 |
| Tax (30%) | 60,00,000 | 42,00,000 |
| PAT | 1,40,00,000 | 98,00,000 |
| Equity shares | 10,00,000 | 5,00,000 |
| EPS (₹) | 14 | 19.6 |
Plan B (with debt) yields a higher EPS — because EBIT is above the indifference point. If EBIT had been ₹50 lakh, Plan A’s EPS would dominate.
44.8 Practice Questions
Q 01
DOL
Medium
The Degree of Operating Leverage (DOL) is defined as:
View solution
Correct Option: A
DOL = % Δ EBIT ÷ % Δ Sales = Contribution / EBIT.
Q 02
DFL
Medium
Which of the following best captures Degree of Financial Leverage (DFL) when there are no preference shares?
View solution
Correct Option: C
When there are no preference shares, DFL = EBIT ÷ EBT (= EBIT − Interest).
Q 03
DCL
Medium
If a firm's DOL is 2 and DFL is 3, its DCL is:
View solution
Correct Option: B
DCL = DOL × DFL = 2 × 3 = 6.
Q 04
Trading on Equity
Medium
Trading on equity benefits shareholders when:
View solution
Correct Option: C
When the firm earns more on its capital than it pays for its debt, the surplus accrues to equity — the trading-on-equity benefit.
Q 05
High DOL
Medium
A firm with a high degree of operating leverage typically has:
View solution
Correct Option: B
High DOL = high fixed operating costs (capital-intensive industries — cement, telecom, airlines).
Q 06
Indifference Point
Medium
The indifference point in EBIT-EPS analysis is the level of EBIT at which:
View solution
Correct Option: B
The indifference point is the EBIT at which two financing plans yield the same EPS. Above it, the more-levered plan dominates.
Q 07
FBP
Medium
The financial break-even point (FBP) is the level of EBIT at which:
View solution
Correct Option: B
FBP = Interest + Preference Dividend / (1 − t). It is the EBIT at which EPS = 0.
Q 08
Total Risk
Medium
Stacking high operating leverage on top of high financial leverage tends to produce:
View solution
Correct Option: B
Total leverage = DOL × DFL — high values together produce highly volatile EPS. Standard prescription: high operating leverage + low financial leverage (or vice versa).
ImportantQuick recall
- Leverage = use of fixed costs to magnify earnings response. Three types: Operating · Financial · Combined.
- DOL = % Δ EBIT / % Δ Sales = Contribution / EBIT. Driven by fixed operating costs.
- DFL = % Δ EPS / % Δ EBIT = EBIT / EBT (no preference). Driven by fixed financial costs.
- DCL = DOL × DFL = Contribution / EBT.
- Trading on equity works when ROCE > Cost of Debt. Beyond that, debt destroys value.
- EBIT-EPS analysis: graphical comparison of financing plans. Indifference point = EBIT at which EPS is equal under two plans.
- Financial Break-even Point = EBIT at which EPS = 0 = Interest + Pref Div / (1−t).
- Risk map: operating risk (DOL), financial risk (DFL), total risk (DCL). Avoid stacking high values of both.