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Microlesson · 5-min read

DOL, DFL, DCL — Measuring Operating, Financial and Combined Risk

# DOL, DFL, DCL — Measuring Risk Through Leverage

Leverage measures how sensitively profits respond to a change in sales. Each layer of fixed cost amplifies that sensitivity.

## The three leverages

LeverageWhat it capturesFormula (definition)Formula (% change)
DOLRisk from operating fixed costsContribution ÷ EBIT%Δ EBIT ÷ %Δ Sales
DFLRisk from interest & pref. dividendEBIT ÷ [EBIT − Int − PD/(1−t)]%Δ EPS ÷ %Δ EBIT
DCLTotal risk = DOL × DFLContribution ÷ [EBIT − Int − PD/(1−t)]%Δ EPS ÷ %Δ Sales

Financial Leverage Ratio (capital structure, not income-statement) = Debt ÷ Equity. Do not confuse this with DFL.

## Relationship with Margin of Safety

> DOL = 1 ÷ MOS (and MOS = 1 ÷ DOL)

A company operating just above break-even has a tiny MOS and a huge DOL — small drops in sales wipe out profit.

## How leverages interact with shocks

For a given % change in sales:

  • %Δ EBIT = DOL × %Δ Sales
  • %Δ EPS = DCL × %Δ Sales = DOL × DFL × %Δ Sales

This chain lets you forecast EPS sensitivity without rebuilding the full income statement.

## Highest vs. lowest combined leverage

When a question gives multiple situations (different fixed costs) and plans (different debt mixes), the highest DCL combination = highest fixed cost × highest debt; the lowest DCL combination = lowest fixed cost × lowest debt. Always state both the value and the combination (e.g., "Situation 3 + Plan A").

Worked example

### Example 1

Quick check (Jan 2025 EXIM Ltd.): Total Assets ₹80 lakhs, Asset turnover 2.5 → Sales = ₹2,00,00,000. Variable cost 70% → Contribution = ₹60,00,000. Fixed Cost ₹16,00,000 → EBIT = ₹44,00,000. Interest = 12.5% × 40,00,000 = ₹5,00,000. EBT = ₹39,00,000; Tax 30% → PAT = ₹27,30,000. Shares = 20,000 → EPS = ₹136.5.

  • DOL = 60 / 44 = 1.36
  • DFL = 44 / 39 = 1.13
  • DCL = 60 / 39 = 1.54 (also = 1.36 × 1.13 ✓)

### Example 2

Sensitivity drill (RTP May 2025 Kshitij Ltd.): Sales ₹180 L, BEP Sales ₹120 L. MOS ratio = 60/180 = 0.333 → DOL = 1/0.333 = 3. If EBIT rises by 15%, %Δ EPS = DFL × 15%. So you only need DFL — no need to re-solve EPS from scratch.

⚠️ Common exam mistakes

  • Using Debt/Equity (capital-structure leverage) and calling it DFL — they are different concepts.
  • Forgetting that DCL = DOL × DFL is a check; if your separately computed DCL ≠ DOL × DFL, one of them is wrong.
  • Computing %Δ EPS as DOL × %Δ Sales — that gives %Δ EBIT, not %Δ EPS.
  • Reporting DOL > 1 with no fixed cost — if FC = 0, DOL must equal 1.
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