AACO

What it would cost to take over the entire firm (equity plus debt, less cash) per dollar of pre-interest, pre-tax, pre-depreciation operating earnings. Capital-structure-agnostic — directly comparable across heavily and lightly levered businesses, which a P/E can't do. The weakness: EBITDA ignores capex, so capital-intensive businesses look artificially cheap on this metric. Cross-check with EV/FCF when capex is meaningful.

Valuation expressed against the cash actually available to all capital providers after capex. Often more honest than EV/EBITDA when capital expenditure is meaningful relative to depreciation, because EBITDA ignores capex entirely while FCF reflects it. The cleanest single-number 'what would I pay to own this whole business?' valuation lens for capital-intensive firms.

Adjusts the numerator for debt and cash so heavily-levered or cash-rich companies become comparable on a revenue-multiple basis. Particularly useful for cross-industry valuation work where some firms run net cash and others carry meaningful debt loads. Same caveats as P/S: best read alongside gross margin to translate the multiple into expected steady-state earnings power.

The multiple equity analysts most commonly quote because it reflects expected earnings rather than the trailing window. Same caveats as trailing P/E plus one extra: the denominator depends on consensus estimates, which can be systematically optimistic going into a downturn or pessimistic at a cyclical trough. Worth cross-checking against trailing P/E and sell-side estimate trend.

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.

An ABSOLUTE intrinsic-value signal, distinct from the relative multiples (PE, EV/EBITDA) which only compare a stock to its industry peers. Intrinsic value comes from the Residual Income Model: book value plus the present value of the residual income (earnings above a charge for the cost of equity) the firm is forecast to generate. This is the best-VALIDATED absolute value signal in the academic literature (Frankel & Lee 1998, replicated through 2026): the value-to-price ratio robustly predicts 1-3 year cross-sectional returns, survives every major factor model, and subsumes book-to-market. Because it is scored across the WHOLE universe (not within-industry), it complements the relative multiples rather than double-counting them. Pair it with a quality screen (Piotroski) to avoid value traps, and read the EPV decomposition to see whether a discount is unpriced earnings power or just speculative growth coming out of the price. One caveat: the model anchors on book equity, so for low-book, buyback-heavy, or asset-light firms (think Apple or Coca-Cola) book is a poor floor and the model can read durable franchises as wildly overvalued. Readings are clamped, and the metric is currently shadow-scored — shown for context, with zero weight in the fundamentals grade — pending validation.

How many dollars of share price the market is willing to pay for one dollar of trailing-twelve-month earnings. The universal valuation anchor for profitable companies — useful for cross-sector comparison and as a quick read on whether the market expects earnings growth, decline, or a quality re-rating. Sensitive to one-off items in the denominator (write-downs, tax holidays, share buybacks); pair with EV/EBITDA when capital structure or non-cash charges look noisy.

Useful when earnings are negative, noisy, or one-time-distorted (early-stage growth, restructurings, cyclical troughs). Works best within an industry, not across — gross margin profiles vary so wildly that 1x P/S for a software company means something completely different from 1x P/S for a grocery chain.

Divides the trailing P/E by the year-over-year EPS growth rate (in percentage points). Below 1.0 is conventionally read as 'cheap relative to growth'; above 2 implies the multiple is well ahead of recent growth. Sensitive to which growth window you choose and unstable when earnings cross zero — flips sign or explodes when prior EPS is negative.

Peter Lynch's adjustment to PEG: adds the dividend yield to the growth rate in the denominator so that mature dividend payers don't get unfairly punished by a low growth rate alone. Sweet spot is 1.0 (P/E equals growth plus yield); below 0.5 often signals a broken growth assumption rather than genuine value; above 2 is over-paying.

Productivity of the asset base — how efficiently the firm converts assets into sales. Combined with net margin, this is the core of the DuPont decomposition: ROA = net margin × asset turnover. Two businesses can land at the same ROA via opposite paths: thin-margin / high-turnover (Costco, supermarkets) vs. fat-margin / low-turnover (luxury, software).

Lower is generally better for shareholder cash returns — less of every dollar of revenue gets reinvested in maintaining the asset base. But very low values can flag under-investment in a capital-intensive business, which catches up later via deteriorating capacity or competitiveness. Pairs with FCF margin to separate 'thin operating margin' from 'fat operating margin offset by heavy capex'.

Sanity-check on earnings quality — a ratio of 1.0 means every dollar of GAAP earnings shows up as free cash flow. Persistently below 1.0 means working-capital build or capex is consuming earnings; persistently above 1.0 is unusual and may flag accounting conservatism (heavy non-cash charges) or a one-time release. Trend matters more than absolute level.

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.

End-to-end conversion ratio: of every dollar of revenue, how much falls through to genuine free cash flow available to all capital providers? More honest than net margin because it accounts for the capex needed to maintain (and grow) the business. The single best indicator of whether the business is a quality compounder or a GAAP-earnings illusion.

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.

Pre-capex version of cash conversion: compares operating cash flow directly to net income, before subtracting capex. Numbers persistently below 1.0 suggest accruals are doing the work (revenue recognised before cash collected, or expenses deferred). Numbers above 1.0 are typically driven by D&A exceeding true economic depreciation — a mild positive sign but not always meaningful.

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.

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.

Measures how productive the actual operating capital base is, independent of capital structure. Strips out the effects of cash, leverage, and below-the-line items so you see the underlying economic engine. The benchmark is the firm's weighted-average cost of capital (WACC) — sustained ROIC above WACC creates value, sustained ROIC below WACC destroys it. The single most important profitability metric for long-term compounding.

Bottom-line growth on a per-share basis — captures both operating progress and any net buyback effect. The denominator uses the absolute value of prior EPS so a turnaround from negative to positive earnings reads with the conventional sign rather than producing arithmetic nonsense. Pair with revenue growth to separate real franchise expansion from buyback-driven per-share lift.

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.

The single best operations-quality metric. Negative CCC means the firm is funded by suppliers — the customer pays before the supplier needs to be paid (Apple, Costco, Amazon at scale). Long CCC ties up working capital and forces operating-loan dependence. Combines three sub-metrics: days inventory outstanding, days sales outstanding, days payable outstanding.

How long the average sale sits as a receivable before becoming cash. Earnings-quality flag: receivables growing faster than revenue is one of the cleanest tells for revenue recognition stretching — Beneish flagged exactly this pattern as a primary fraud indicator. Industry context matters: B2B / project businesses run longer DSO than retail, but the trend is more important than the level.

DuPont productivity measure. Combined with margin, it tells the asset-light vs. asset-heavy story: low turnover with high margin is the luxury / branded model, high turnover with thin margin is the supermarket / discount model. Very high turnover in retail can also flag stockouts (lost sales) — the metric reads best industry-relative, not absolute.

Direct cash income from holding the share. Stable dividend yield over time often signals capital discipline and predictable cash generation; abnormally high yield is frequently a warning that the dividend isn't covered by free cash flow and may be cut. Always read alongside payout ratio and FCF coverage.

Net income divided by market cap, expressed as a percent. Lets you compare equity earning power directly to bond yields: a 6% earnings yield is the equity-side analog to a 6% coupon, with the difference that earnings can grow (or contract) while a bond coupon is fixed. The standard 'is the equity risk-premium adequate?' framing.

Sustainability check on the dividend yield. Below 30% means the dividend has substantial room to grow; 30–60% is the conventional sweet spot for a mature payer; above 85% is stretched and frequently precedes a cut. REITs and utilities run higher than the broad market by design — REIT payouts above 80% are normal because the structure requires distributing most income.

Captures the full cash return to shareholders — dividends plus share repurchases, expressed as a percentage of market cap. Buyback-heavy issuers (Apple, Alphabet) hide their real cash return behind a low headline dividend yield; total shareholder yield surfaces it. Increasingly the right lens for evaluating capital-return quality, especially for tech-era large-caps that prefer buybacks to dividends.

Designed to buy oversold pullbacks within an established uptrend (price above the regime moving average). Uses a 2-period RSI rather than the standard 14 to make it hyper-responsive to short-term swings. The default exit_method is RSI-threshold based: hold while RSI(2) is below the configured exit threshold and exit when RSI(2) crosses above exit. The book-style SMA exit is also supported by setting exit_method=sma with exit_ma.

+1 when price is above regime_ma and RSI(2) drops below oversold; held while inside the trade; back to 0 when the configured exit_method fires.

+1 = pullback-buy state active, -1 = pullback-short state active (symmetric rule in a down regime), 0 = flat.

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.

The 14-period Relative Strength Index is the canonical Wilder momentum oscillator, bounded 0-100. Readings below 30 mark oversold conditions and above 70 mark overbought. This signal flags time spent at those extremes: bullish while RSI is at or below 30 (a mean-reversion bounce bias), bearish while it is at or above 70. The 30/70 thresholds are standard practice layered on top of the TA-Lib primitive.

+1 while RSI(14) is at or below the oversold threshold (default 30); -1 while it is at or above the overbought threshold (default 70); 0 in between.

+1 = oversold (bullish mean-reversion bias), -1 = overbought (bearish), 0 = RSI in its mid-range.

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.

Reports whether the close sits within the configured proximity (default 1%) of the rolling 252-bar high or low. New-highs and new-lows are universally watched screening filters — momentum and breakout strategies start from here, and the broad market's new-high / new-low spread is a foundational breadth indicator.

+1 while close is within proximity of the 252-bar high; -1 while close is within proximity of the 252-bar low; 0 mid-range.

+1 = near 52-week high, -1 = near 52-week low, 0 = mid-range.

The DI ordering only counts while the ADX line confirms a real trend (ADX >= adx_min, default 25); in weak-ADX chop the signal stays neutral.

+1 while +DI > -DI and ADX >= adx_min (default 25); -1 while -DI > +DI and ADX >= 25; 0 while ADX is below 25 or the DI lines are tied.

+1 = +DI leading with ADX-confirmed trend strength, -1 = -DI leading with ADX-confirmed trend strength.

Turtle-style breakout signal: enters long when price exceeds the highest high of the prior lookback window, short when price drops below the lowest low of the prior window. The channel is shifted to the prior bar to avoid lookahead. Holds the position state for a fixed number of bars. Cornerstone of trend-following strategies — works best in directional regimes and gets chopped up in range-bound markets.

+1 when the bar high exceeds the prior N-day high, held for hold_bars; -1 when the bar low breaks the prior N-day low, held for hold_bars. Ambiguous bars that exceed both sides are ignored on daily OHLC data.

+1 = long breakout state, -1 = short breakout state.

Composite trend system: bullish when the tenkan crosses above the kijun, price is above the cloud (Kumo), and the close is above its level from 26 bars ago (Chikou-style momentum confirmation).

+1 on bullish trigger conditions, -1 on bearish, 0 otherwise.

+1 = full Ichimoku bullish setup, -1 = full bearish setup.

Computes the period-bar log-return spread (ticker minus SPY) and ranks the spread against its trailing 252-bar quantile. SPY = SPDR S&P 500 ETF Trust ('SPDR' = Standard & Poor's Depositary Receipts), the standard proxy for the US large-cap market. Ranking against the trailing window means the same threshold works in both gentle bull markets and high-volatility regimes — the metric is calibrated against the ticker's own history, not a fixed cutoff.

+1 while the ticker-vs-SPY spread ranks at or above the high_pct percentile (default 0.8 — the top 20%) of its trailing window; -1 while at or below low_pct (default 0.2 — the bottom 20%); 0 otherwise.

+1 = clear outperformance regime, -1 = clear underperformance regime.

While price is above its 200-day MA (uptrend regime), buy when today's close is the lowest in 7 sessions; exit when today's close is the highest in 7 sessions. A simple, robust short-term mean-reversion system — works because pullbacks within an uptrend tend to be shallow and quickly retraced. Symmetrically, the bearish variant short-sells 7-day highs in downtrends.

+1 on entry (new 7-day low closing above the 200-day MA), held until a new 7-day high; -1 on the mirror short entry (new 7-day high closing below the MA), held until a new 7-day low; 0 when flat.

+1 = pullback-buy state active, -1 = short-fade state active (7-day high below the 200-day MA), 0 = flat.

Bullish engulfing: a down candle followed by an up candle whose real body fully covers the prior real body. Bearish engulfing is the mirror. This implementation also checks prior_trend_window so the body engulfment is treated as a reversal after a move, not just another wide candle inside noise.

+1 when an up real body engulfs the prior down real body after a downtrend; -1 when a down real body engulfs the prior up real body after an uptrend.

+1 = bullish engulfing reversal, -1 = bearish engulfing reversal.

Identifies the most recent significant swing high and low, projects the standard Fibonacci levels (23.6%, 38.2%, 50%, 61.8%, 78.6%) across the swing, and fires only when price rejects off one of those levels back in the prior-trend direction. In an active uptrend the trigger fires when a bar's low pierces a Fib support by up to 0.5 ATR and closes back above it; in a downtrend the mirror case fires at Fib resistance. A 2×ATR swing-range floor suppresses emission inside noisy consolidations where every level sits within one ATR of every other. Only the first touch fires: the bar that arrives at a level after at least 3 bars away is the event — price sitting at a level does not re-fire day after day. Fibonacci levels are self-fulfilling support/resistance — heavily watched by chart-driven traders, so rejections at them tend to act as decision points whether the underlying ratios mean anything or not.

+1 in an uptrend when the bar's low pierces a Fib support (within atr_mult x ATR) and the close finishes above it; -1 in a downtrend when the bar's high pierces a Fib resistance and the close finishes below it. First touch only: fires only when none of the prior clear_bars (3) bars were at a level. 0 otherwise.

+1 = bullish rejection at Fib support, -1 = bearish rejection at Fib resistance, 0 = no rejection event.

Bearish head-and-shoulders: a left shoulder, a higher center peak (head), and a right shoulder of comparable height to the left, broken by a decisive close below the neckline (the line connecting the two intervening troughs). The inverse pattern — three troughs with a deeper middle and an upward neckline break — is bullish. The neckline break must come within 60 bars of the right shoulder — a pattern that lingers unbroken expires rather than firing on a late, far-extrapolated line cross. Among the most-watched and most-cited topping/bottoming patterns in classical chart analysis.

+1 when the close breaks up through the neckline of a confirmed inverse H&S; -1 on the downside neckline break of a standard H&S. The break must occur within 60 bars of right-shoulder confirmation — unbroken patterns expire.

+1 = bullish inverse H&S confirmed, -1 = bearish H&S confirmed.

When price comes within an ATR-relative band of a key moving average (typically 50- or 200-period) and reverses without closing through it, the MA is acting as support (in an uptrend) or resistance (in a downtrend). The cleanest trend-continuation entry — buy the pullback to a rising MA, sell the rally to a falling MA. The proximity band is sized as 0.5 × Wilder ATR(14), so a high-volatility name and a quiet utility get proportionally-scaled bands instead of a fixed percentage that fires constantly on one and almost never on the other. A rejection only counts when the prior 3 bars all traded clear of the band — price must approach the MA from a distance and get turned away; a stock simply riding along its MA does not fire. Failure of the rejection (a clean close through) is itself meaningful and often signals a regime change.

+1 when, after the prior 3 bars traded clear above the MA band, the bar's low tags the band and the close holds above the MA; -1 when, after 3 bars clear below the band, the bar's high tags it and the close stays below.

+1 = bullish MA rejection (support held), -1 = bearish MA rejection (resistance held).

A candlestick has a real body (open-to-close distance) and wicks (the excursions from the body to the high and low). A pin bar requires a small real body, one dominant rejection wick, and a prior swing in the opposite direction. Bullish pin: long lower wick after a downtrend, body near the top — price probed lower and was rejected. Bearish pin: long upper wick after an uptrend, body near the bottom. Most reliable at structural levels.

+1 when body/range <= body_max, lower wick/range >= wick_min, upper wick is tiny, and prior_trend confirms a downswing; -1 for the mirrored upper-wick rejection after an upswing.

+1 = bullish reversal candle, -1 = bearish reversal candle.

Morning star (bullish): a large down real body, a small-body middle candle (the star) below the first body, and a bullish third candle that closes back into the first body by the configured penetration. Evening star is the bearish mirror at a top. The three-candle structure is more reliable than a single doji because it includes follow-through confirmation.

+1 on confirmed morning star; -1 on confirmed evening star. middle_body_max controls the star body's maximum size; penetration controls how far bar three must close into bar one's body.

+1 = morning star (bullish reversal), -1 = evening star (bearish reversal).