Quality score
A single composite z-score capturing three orthogonal dimensions of corporate quality, built from 13 fundamental ratios.
Each pillar is itself a z-score of cross-sectional rank averages. See the stock screener on /live to explore any US ticker's pillar breakdown.
Profitability
6 ratios · 1/3 of composite weightSix ratios capturing how efficiently a firm generates profits relative to its asset base, equity, and revenue. The QMJ paper finds the Profitability pillar carries the bulk of the long-run quality premium.
| Ratio | Formula |
|---|---|
| GPOA | Gross Profit / Total Assets |
| ROE | Net Income / Shareholders' Equity |
| ROA | Net Income / Total Assets |
| CFOA | Operating Cash Flow / Assets |
| GMAR | Gross Profit / Revenue |
| ACC (inverted) | − (Net Income − Operating Cash Flow) / Assets |
Why each ratio matters
The 'champion' profitability metric identified by Novy-Marx. Gross profit is the cleanest line in the income statement — it sits closest to operations and is the least manipulable through accounting choices (no D&A, no SG&A capitalization tricks). Dividing by assets normalizes for firm size. High-GPOA firms have historically outperformed by 3-4% per year on average.
The classic measure of how much profit a firm generates per dollar of equity. High ROE = the firm rewards its shareholders. Caveat: ROE can be artificially inflated by leverage (debt → smaller equity base → larger ratio), which is why we also use ROA and combine multiple ratios.
Like ROE but measured against the full asset base — so leverage doesn't game it. Captures pure operational efficiency. A high ROA means the firm extracts profit efficiently from every dollar of assets, regardless of how those assets were financed.
ROA's cash-based twin. Replaces Net Income with Operating Cash Flow, eliminating non-cash distortions like depreciation amortization schedules and accrual smoothing. The QMJ paper considers CFOA more honest than ROA because cash doesn't lie — you either generated it or you didn't.
Measures pricing power. A high gross margin signals a competitive moat: the firm can charge meaningfully more than its inputs cost. Think Apple (margin ~45%) vs a generic electronics maker (margin ~15%). Margin is sticky — it reveals durable competitive advantage rather than ephemeral demand.
Accruals = the gap between reported earnings and actual cash. Sloan's seminal finding: firms with high accruals (NI ≫ OCF) systematically underperform — those 'paper profits' often unwind in subsequent quarters when the accruals normalize. We invert the sign so that fewer accruals = higher score.
Growth
5 ratios · 1/3 of composite weightFive-year changes in the profitability ratios above. Captures dynamic quality — firms whose returns are improving over time, not just firms that are already profitable. Static profitability tells you who is good now; growth tells you who is getting better.
| Ratio | Formula |
|---|---|
| Δ GPOA | GPOA(today) − GPOA(5 years ago) |
| Δ ROE | ROE(today) − ROE(5 years ago) |
| Δ ROA | ROA(today) − ROA(5 years ago) |
| Δ CFOA | CFOA(today) − CFOA(5 years ago) |
| Δ GMAR | GMAR(today) − GMAR(5 years ago) |
Why each ratio matters
Is the firm's gross-profit yield expanding or shrinking? An improving GPOA can come from operational leverage (revenue growing faster than assets) or margin expansion — both signs of widening competitive advantage.
Is the firm becoming more (or less) profitable per dollar of equity? Tracking ROE through cycles separates structurally improving businesses from temporary boom-bust patterns.
Improving asset productivity. ROA expansion is harder to game than ROE expansion (no leverage trick), so it tends to be the most reliable growth signal of the three.
Growing cash flow yield on assets. Even more honest than ROA growth because cash flow can't be massaged by accounting choices. If both ROA and CFOA grow together, the improvement is real.
Margin expansion. The single most powerful growth signal: a firm that can lift its gross margin over 5 years is almost always strengthening its competitive position (more pricing power, scale economies, or product mix shift toward higher-value offerings).
Safety
8 ratios · 1/3 of composite weightBalance-sheet strength: how robust is the firm to a recession, a credit crunch, or an unexpected operating shock? We combine three sub-pillars — Altman Z-score components, Piotroski liquidity ratios, and leverage.
| Ratio | Formula |
|---|---|
| Working Capital / TA | (Current Assets − Current Liabilities) / Total Assets |
| Retained Earnings / TA | Retained Earnings / Total Assets |
| EBIT / TA | Earnings Before Interest & Tax / Total Assets |
| Equity / Liabilities | Total Equity (book or market) / Total Liabilities |
| Revenue / TA | Revenue / Total Assets |
| Current Ratio (inverted use) | Current Liabilities / Current Assets |
| OCF / Liabilities | Operating Cash Flow / Total Liabilities |
| Leverage (inverted) | (Short-term + Long-term Debt) / Total Assets |
Why each ratio matters
Liquidity cushion relative to firm size. High working capital → the firm can pay its short-term bills without selling long-term assets or borrowing. Low working capital is a leading indicator of cash-flow stress.
How much profit the firm has accumulated and retained over its lifetime, normalized by size. High retained earnings = the firm has historically been profitable and has built a buffer. New or unprofitable firms score low here, which is exactly what Altman wanted to flag.
Operating profitability before financial structure effects. Critical for assessing whether the firm's core business is healthy enough to service its debt — independent of how the financing is arranged.
How much skin in the game the shareholders have versus creditors. A ratio above 1 means equity exceeds debt; below 0.5 means the firm is highly levered. Both Altman and Piotroski use this as a primary solvency indicator.
Asset turnover — how much revenue the firm generates per dollar of assets. High turnover = capital-light, efficient operations. Low turnover with high leverage = warning sign for distress.
Short-term solvency. We use it inverted (1 / current ratio) so that more liquidity scores higher. A firm with current ratio above 1.5 can typically weather a working-capital shock without external financing.
Can the firm pay back ALL its debts from its cash flow? This is Piotroski's most stringent solvency test. A ratio of 0.2 means the firm could theoretically retire its entire debt stack in 5 years using just operating cash flow — a strong signal of financial robustness.
Absolute leverage. Heavily indebted firms are fragile to interest-rate shocks, credit cycles, and revenue downturns (fixed cost of debt service vs variable revenue). We invert so that less leverage = higher score.
From ratios to a single number
- For each ratio, compute the cross-sectional rank z-score across the universe (robust to outliers and units).
- For each pillar, average those z-scores, then z-score again. Missing ratios within a pillar are tolerated (e.g. financials have no Gross Profit) — the pillar uses the ratios available.
- Strict portfolio eligibility: a firm must have all three pillars (Profitability, Growth, Safety) computable to enter the live portfolio. The most common exclusion is Growth for firms with less than 5 years of fundamentals (recent IPOs). These names still appear in the screener with a warning ⚠ but cannot be selected.
- Drop firms flagged insolvent by the Altman Z-score (Z < 1.81).
- Take the top decile, capped at 40 positions. Weights proportional to quality.
Asness, Frazzini, & Pedersen (2019), "Quality minus Junk", Review of Accounting Studies. Novy-Marx (2013), Sloan (1996), Piotroski (2000), Altman (1968).