What is DuPont Analysis: ROE Decomposition, Leverage Risk & Strategic Insights?
Mathematical Foundation
Laws & Principles
- The Same ROE, Two Completely Different Risk Profiles: Case A — High-Margin Software: 30% margin × 2.0× turnover × 1.25× leverage = 75% ROE. Almost no debt, exceptional margins, rapid asset velocity. Case B — Leveraged Retailer: 1% margin × 1.67× turnover × 7.5× leverage = 12.5% ROE. For every $1 of equity, $6.50 of debt. A 5% revenue decline wipes out the entire equity base. This is why DuPont — not raw ROE — is the correct investment analysis lens.
- ROE vs. ROA — Separating Operations from Capital Structure: ROA = Margin × Turnover = underlying performance independent of financing. ROE = ROA × Equity Multiplier. If ROA = 6% and cost of debt = 5%, leverage is accretive. If ROA falls to 4% with cost of debt at 5%, leverage is destructive — the company pays more for debt than it earns on debt-funded assets.
- 5-Step DuPont — Tax and Interest Separately: ROE = (NI/EBT) × (EBT/EBIT) × (EBIT/Sales) × (Sales/TA) × (TA/Equity). The first two factors isolate tax burden and interest burden from operating margin — essential for M&A modeling to separately quantify post-acquisition deleveraging effects.
- Trend Analysis Red Flag: Declining margin + rising leverage over 5 years signals a deteriorating business masking problems with debt. The ROE stays stable while fundamentals deteriorate — a structural warning that surfaces years before credit ratings or analyst downgrades catch it.
Step-by-Step Example Walkthrough
" Analyst evaluates a manufacturer: Net Income $150K, Sales $1M, Total Assets $2M, Shareholders' Equity $800K. "
- Net Profit Margin = $150,000 / $1,000,000 = 15.00%.
- Asset Turnover = $1,000,000 / $2,000,000 = 0.500×.
- Equity Multiplier = $2,000,000 / $800,000 = 2.500×.
- ROE = 15.00% × 0.500 × 2.500 = 18.75%.
- Verify: $150,000 / $800,000 = 18.75% ✓.
- ROA = 7.50% — at 2.5× leverage, accretive if cost of debt ≈ 5%.