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Capital-structure-agnostic earnings yield. Pairs with Greenblatt ROC to compute the famous Magic Formula rank (the universe-rank of earnings yield plus universe-rank of return on capital). Pre-tax operating earnings divided by the full claim on the firm gives a cleaner cross-firm valuation comparison than P/E or earnings yield alone, because it strips out the distortions from leverage, cash, and tax structure.

Easier to compare than operating margin across firms with very different leverage and depreciation profiles, because it adds D&A back. Software platforms commonly run above 30%; capital-light service businesses cluster around 20%; capital-intensive industrials sit below 15%. The weakness: ignores the cash needed to maintain the asset base — pair with FCF margin for a complete profitability picture.

Free cash flow the business throws off, divided by what the market currently charges for the equity. Treats the equity claim as a perpetual stream of free cash. More honest than earnings yield because it reflects the cash actually available to shareholders after all reinvestment. Cyclicals can swing below zero in a downturn — read with the trailing-cycle range.

Joel Greenblatt's reformulation of return-on-capital, designed to filter for businesses that earn high pre-tax returns on the tangible operating capital that actually generates EBIT. Excludes goodwill and acquired intangibles so that two firms with the same operating economics rank similarly regardless of acquisition history. Pairs with Greenblatt's Earnings Yield (EBIT/EV) to produce the famous 'Magic Formula' rank — quality stocks at value prices.

First-line profitability measure — how much revenue is left after the direct cost of producing it. Stable or rising gross margin signals pricing power and low input-cost exposure; falling gross margin is one of the earliest reliable signals of competitive pressure or commodity-input squeeze. Industry context is everything: 30% gross margin is excellent for a grocery chain and disastrous for a software company.

Operating margin minus interest, tax, and below-the-line items. Useful but noisier than operating margin: tax rate changes, debt-service shifts, and one-time items can move net margin year-over-year even when the operating business is unchanged. Always pair with operating margin and FCF margin — divergence between them is a tell about leverage, tax structure, or earnings quality.

Captures the leverage between revenue and operating profit — the core test of whether a business converts sales into income at the operating level. Independent of capital structure (excludes interest) and tax-jurisdiction noise. Trend matters as much as level: an improving operating margin indicates pricing power or operational efficiency gains; a falling margin signals input-cost pressure, wage inflation, or competitive erosion.

Capital-efficiency measure that ignores how the assets are financed. Useful for comparing within a sector but heavily biased by industry — banks and utilities run low ROA by design (huge balance sheets), software and franchise businesses run high ROA (asset-light). The DuPont decomposition links it to ROE: ROE = ROA × (assets / equity), so leverage inflates the gap between ROA and ROE.

Pre-tax cousin of ROIC using operating capital employed (long-term debt plus equity, approximately equal to total assets minus current liabilities). Damodaran publishes ROCE by industry annually, so it benchmarks cleanly against sector norms. Particularly useful for capital-intensive businesses where you want to see pre-tax returns on the long-term capital base.

The headline profitability metric. Net income divided by average book equity tells you how productive each dollar of shareholders' capital is. High sustained ROE compounds book value when the business can reinvest at a similar return. Two warnings: ROE rises mechanically with leverage (high D/E inflates ROE without making the business better), and aggressive buybacks can shrink the equity denominator faster than they shrink earnings, artificially boosting ROE even as fundamental returns are flat.

Top-line growth — the cleanest way to see whether the franchise is expanding. Best read alongside margin trend: revenue rising while margin compresses is often discount-driven volume rather than real growth, and can mask underlying weakness. Compare to industry peers — what looks weak in absolute terms can be best-in-sector if the industry is contracting.

Compares price pivots against the MACD histogram (MACD line minus signal line) at those same bars. Bullish divergence: price makes a lower low, histogram makes a higher low — momentum is improving beneath the surface. Bearish divergence: price makes a higher high, histogram makes a lower high. Slower than the MACD signal cross but a richer confirmatory tell — the histogram captures momentum acceleration, not just direction.

+1 at the right-hand pivot of bullish divergence; -1 at right-hand pivot of bearish divergence; 0 otherwise.

+1 = bullish divergence, -1 = bearish divergence.

Fires on the bar where the MACD line (EMA12 minus EMA26) crosses through the signal line (EMA9 of MACD). Bullish when MACD crosses up through signal, bearish when it crosses down. Far more commonly used as a trade trigger than divergence — see macd_divergence for the slower confirmatory tell. Whipsaws in chop; cleanest when combined with a trend-regime filter.

+1 on bullish cross (MACD crosses up through signal); -1 on bearish cross (MACD crosses down through signal); 0 otherwise.

+1 = bullish MACD-signal cross, -1 = bearish MACD-signal cross.

When price prints a lower low while RSI prints a higher low at those same pivot bars, momentum is improving even though price is still falling — a classic bullish divergence that often precedes a reversal up. The bearish mirror fires when price makes a higher high but RSI prints a lower high, telegraphing exhausted upside. Divergences are confirmation tells rather than precise timing signals — best used as a 'something is changing under the surface' alert, not a trade trigger on their own.

+1 at the right-hand pivot of a (lower-low price, higher-low RSI) pair; -1 at the right-hand pivot of a (higher-high price, lower-high RSI) pair; 0 otherwise.

+1 = bullish divergence, -1 = bearish divergence, 0 = no divergence at this bar.

ROC is the simplest momentum oscillator: (close − close_N_ago) / close_N_ago × 100. It's unbounded, sign-bearing, and reads as 'how much price has moved in absolute % terms over the lookback'. A configurable threshold (default 5%) separates ordinary fluctuation from strong directional thrusts. Useful as a coarse momentum cross when you want a less smoothed signal than RSI or MACD.

+1 while ROC is above +threshold (strong bullish thrust); -1 while ROC is below −threshold (strong bearish thrust); 0 inside the ±threshold band.

+1 = ROC above +threshold (bullish thrust), -1 = ROC below −threshold (bearish thrust), 0 = ROC within ±threshold.