stochastics
Stochastics (Slow)
Slow Stochastics with %K/%D crossover. Bullish: %K crosses above %D while below oversold (20). Bearish: %K crosses below %D while above overbought (80).
Signal family
Mean reversion — Oscillator-based signals that fire at overbought or oversold extremes — typically fade the prevailing move.
Parameters
| Name | Description | Default | Range |
|---|---|---|---|
| k_period | %K period | 14 | 5–50 |
| d_period | %D period | 3 | 2–10 |
| slow_period | Slow smoothing period | 3 | 1–10 |
| overbought | Overbought level | 80 | 60–90 |
| oversold | Oversold level | 20 | 10–40 |
Historical context
647,232 valid triggers on 3,714 distinct tickers between 2015-02-25 and 2026-04-22. Universe: us_only · mcap ≥ $100,000,000 · price ≥ $1 (3,717 tickers). Entry at open T+1. 1d = intraday T+1; 20d = open T+1 to close T+20.
Benchmarks: spxew (S&P 500 Equal Weight — the primary benchmark here; a median-stock view that avoids the 2020+ megacap-concentration distortion), spx (S&P 500, cap-weighted), and msci (MSCI World USD). Per-stock regime: trending = ADX(14) ≥ 25, high vol = 20d ann. vol ≥ 20%.
At a glance (20d alpha vs S&P 500 Equal Weight, US-only)
Reading this: the random-date null is: for each ticker, sample N random dates and compute the same alpha — what alpha does a signal with no information produce? If the signal's observed alpha beats the null (pperm≤0.05), it's adding real information. If it's inside or worse than the null, the signal doesn't add value over random firing — any observed alpha is either noise or a universe artifact.
How often does STOCHASTICS fire in each regime?
The signal's bucket distribution is itself informative. If 50%+ of all STOCHASTICS triggers fire in the "non-trending + high vol" quadrant, the signal is structurally a chop-market event — regardless of what its textbook definition claims. Bullish and bearish are shown separately; counts are across the full US-only sample after the mcap and price floor.
Per-stock regime quadrant — 20d alpha
Each trigger is tagged with the host stock's own technical regime on the trigger date: is the stock itself in a trend (ADX(14) ≥ 25) or ranging? And is its realized 20-day volatility high (≥ 20% annualized) or low? This is the textbook conditioning variable — "does this signal work better in trending stocks?" — answered at the level of the individual stock, not the market. Positive bars are good for the signal; negative bars mean alpha vanishes into the benchmark or worse.
Sub-period check — does the signal work in every era?
A multi-year average can hide major instability. We split the sample into three non-overlapping windows: 2015–2019 (pre-COVID, normalized monetary policy), 2020–2022 (pandemic crash + recovery + rate-shock bear), and 2023+ (post-ZIRP, AI megacap rally). If a signal's alpha is positive overall but comes entirely from one era, that's a red flag — the conditions that produced it may not repeat. A robust signal shows a consistent sign across all non-empty buckets.
↑ Bullish triggers
| Bench | Metric | 1d | 5d | 20d | 60d | 252d |
|---|---|---|---|---|---|---|
| spx | Stock % | -0.01% | +0.22% | +1.10% | +3.33% | +13.28% |
| Bench % | +0.01% | +0.30% | +1.21% | +3.46% | +14.25% | |
| Alpha % | -0.04% | -0.08% | -0.08% | -0.11% | -0.95% | |
| Median alpha | -0.05% | -0.22% | -0.58% | -1.76% | -9.05% | |
| Hit rate (α>0) | 48.6% | 47.7% | 47.2% | 45.4% | 39.5% | |
| p (naive) | <0.001 | <0.001 | 0.0003 | 0.0057 | <0.001 | |
| p (HAC) | <0.001 | <0.001 | 0.0077 | 0.1549 | 0.0091 | |
| N | 307,332 | 306,984 | 304,584 | 296,711 | 271,577 | |
| msci | Stock % | -0.01% | +0.22% | +1.10% | +3.33% | +13.28% |
| Bench % | +0.08% | +0.32% | +1.11% | +3.12% | +12.18% | |
| Alpha % | -0.07% | -0.11% | -0.01% | +0.22% | +1.09% | |
| Median alpha | -0.10% | -0.26% | -0.51% | -1.41% | -6.93% | |
| Hit rate (α>0) | 47.5% | 47.3% | 47.5% | 46.2% | 41.9% | |
| p (naive) | <0.001 | <0.001 | 0.8210 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | <0.001 | 0.8684 | 0.0055 | 0.0028 | |
| N | 306,336 | 304,085 | 302,125 | 295,074 | 270,226 | |
| spxew | Stock % | -0.01% | +0.22% | +1.10% | +3.33% | +13.28% |
| Bench % | +0.04% | +0.23% | +1.01% | +2.94% | +10.72% | |
| Alpha % | -0.06% | -0.01% | +0.11% | +0.42% | +2.69% | |
| Median alpha | -0.08% | -0.15% | -0.38% | -1.16% | -5.47% | |
| Hit rate (α>0) | 48.0% | 48.3% | 48.1% | 46.8% | 43.3% | |
| p (naive) | <0.001 | 0.1885 | <0.001 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | 0.2040 | 0.0005 | <0.001 | <0.001 | |
| N | 306,138 | 304,506 | 301,436 | 294,670 | 268,823 |
Permutation null detail — all horizons × both benchmarks
| Horizon | Bench | Observed α | Null mean | Null 95% CI | pperm |
|---|---|---|---|---|---|
| 1d | spx | -0.04% | -0.01% | [-0.04%, +0.25%] | 0.980 |
| 1d | msci | -0.07% | -0.03% | [-0.06%, +0.22%] | 1.000 |
| 1d | spxew | -0.06% | -0.03% | [-0.06%, +0.22%] | 0.910 |
| 5d | spx | -0.08% | +0.09% | [-0.01%, +0.35%] | 1.000 |
| 5d | msci | -0.11% | +0.10% | [-0.01%, +0.36%] | 1.000 |
| 5d | spxew | -0.01% | +0.12% | [+0.01%, +0.38%] | 1.000 |
| 20d | spx | -0.08% | +0.20% | [+0.06%, +0.54%] | 1.000 |
| 20d | msci | -0.01% | +0.33% | [+0.17%, +0.66%] | 1.000 |
| 20d | spxew | +0.11% | +0.40% | [+0.25%, +0.73%] | 1.000 |
| 60d | spx | -0.11% | +0.40% | [+0.18%, +0.79%] | 1.000 |
| 60d | msci | +0.22% | +0.85% | [+0.62%, +1.24%] | 1.000 |
| 60d | spxew | +0.42% | +1.08% | [+0.85%, +1.48%] | 1.000 |
| 252d | spx | -0.95% | +0.91% | [+0.45%, +1.51%] | 1.000 |
| 252d | msci | +1.09% | +3.23% | [+2.79%, +3.84%] | 1.000 |
| 252d | spxew | +2.69% | +4.62% | [+4.16%, +5.22%] | 1.000 |
Example triggers on US large-caps (2023+, mcap ≥ $30B)
Six recent bullish STOCHASTICS triggers on US mega-caps, filtered to |alpha| ≤ 25% to exclude catalyst-driven outliers (earnings surprises, M&A, binary events). The first three are the strongest outcomes — what the signal looks like when it works. The last three are the weakest — what the signal looks like when it fails. Each chart shows the stock's price with signal-appropriate technical overlays (e.g. MACD subpanel on MACD pages, Bollinger Bands on Bollinger pages, the 52-week trailing max line on 52w-high pages), a dot marking the trigger date, and the forward window shaded (green when the signal was right, red when it wasn't). Click any chart to open full-size.
Strongest outcomes (what STOCHASTICS looks like when it works)
Weakest outcomes (what STOCHASTICS looks like when it fails)
Stock-regime quadrants (2×2 per-stock, 20d alpha detail table)
| Quadrant | N | Stock % (spx) | Bench % (spx) | Alpha % (spx) | p (HAC) | Stock % (msci) | Bench % (msci) | Alpha % (msci) | p (HAC) | Stock % (spxew) | Bench % (spxew) | Alpha % (spxew) | p (HAC) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Trending + Low vol Clean directional grind, low whipsaw | 18,415 | +0.09% | +0.68% | -0.57% | <0.001 | +0.09% | +0.53% | -0.41% | <0.001 | +0.09% | +0.40% | -0.25% | <0.001 |
| Trending + High vol Crisis selloff or parabolic rally | 115,003 | +1.29% | +1.45% | -0.14% | 0.0106 | +1.29% | +1.31% | -0.01% | 0.7800 | +1.29% | +1.18% | +0.14% | 0.0086 |
| Non-trending + Low vol Quiet chop, summer doldrums | 28,057 | +0.29% | +0.81% | -0.49% | <0.001 | +0.29% | +0.66% | -0.33% | <0.001 | +0.29% | +0.50% | -0.16% | 0.0003 |
| Non-trending + High vol Classical "whipsaw zone" for momentum | 145,996 | +1.29% | +1.18% | +0.13% | 0.0032 | +1.29% | +1.17% | +0.16% | 0.0006 | +1.29% | +1.14% | +0.21% | <0.001 |
Sub-period breakdown table (20d alpha)
| Period | N | Alpha % (spx) | p (HAC) | Alpha % (msci) | p (HAC) | Alpha % (spxew) | p (HAC) |
|---|---|---|---|---|---|---|---|
| 2015-2019 2015-01-01 → 2020-01-01 | 84,909 | +0.21% | <0.001 | +0.37% | <0.001 | +0.27% | <0.001 |
| 2020-2022 2020-01-01 → 2023-01-01 | 100,318 | +0.03% | 0.5955 | +0.14% | 0.0175 | -0.17% | 0.0020 |
| 2023-2026 2023-01-01 → 2099-01-01 | 122,245 | -0.37% | <0.001 | -0.37% | <0.001 | +0.24% | <0.001 |
↓ Bearish triggers negative alpha = signal was right (stock underperformed market)
| Bench | Metric | 1d | 5d | 20d | 60d | 252d |
|---|---|---|---|---|---|---|
| spx | Stock % | -0.01% | +0.18% | +0.63% | +2.26% | +10.88% |
| Bench % | +0.02% | +0.20% | +0.96% | +2.91% | +13.28% | |
| Alpha % | -0.02% | -0.01% | -0.28% | -0.63% | -2.39% | |
| Median alpha | -0.02% | -0.13% | -0.74% | -1.91% | -8.24% | |
| Hit rate (α>0) | 49.4% | 48.4% | 45.9% | 44.5% | 39.4% | |
| p (naive) | <0.001 | 0.1096 | <0.001 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | 0.1217 | <0.001 | <0.001 | <0.001 | |
| N | 339,616 | 338,076 | 335,478 | 329,805 | 294,678 | |
| msci | Stock % | -0.01% | +0.18% | +0.63% | +2.26% | +10.88% |
| Bench % | +0.02% | +0.18% | +0.81% | +2.40% | +10.67% | |
| Alpha % | -0.02% | +0.01% | -0.11% | -0.10% | +0.23% | |
| Median alpha | -0.02% | -0.10% | -0.58% | -1.37% | -5.58% | |
| Hit rate (α>0) | 49.3% | 48.8% | 46.8% | 46.0% | 42.8% | |
| p (naive) | <0.001 | 0.1457 | <0.001 | 0.0022 | 0.0057 | |
| p (HAC) | <0.001 | 0.1590 | <0.001 | 0.1390 | 0.4648 | |
| N | 338,363 | 336,252 | 334,056 | 328,124 | 292,839 | |
| spxew | Stock % | -0.01% | +0.18% | +0.63% | +2.26% | +10.88% |
| Bench % | +0.03% | +0.19% | +0.74% | +2.12% | +9.53% | |
| Alpha % | -0.04% | -0.02% | -0.04% | +0.19% | +1.49% | |
| Median alpha | -0.02% | -0.10% | -0.47% | -1.09% | -4.53% | |
| Hit rate (α>0) | 49.3% | 48.8% | 47.3% | 46.7% | 43.9% | |
| p (naive) | <0.001 | 0.0289 | 0.0452 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | 0.0355 | 0.1608 | 0.0061 | <0.001 | |
| N | 338,115 | 334,836 | 332,853 | 327,373 | 291,487 |
Permutation null detail — all horizons × both benchmarks
| Horizon | Bench | Observed α | Null mean | Null 95% CI | pperm |
|---|---|---|---|---|---|
| 1d | spx | -0.02% | +0.00% | [-0.02%, +0.24%] | 0.010 |
| 1d | msci | -0.02% | -0.02% | [-0.04%, +0.22%] | 0.910 |
| 1d | spxew | -0.04% | -0.02% | [-0.04%, +0.22%] | 0.164 |
| 5d | spx | -0.01% | +0.12% | [+0.01%, +0.50%] | 0.010 |
| 5d | msci | +0.01% | +0.13% | [+0.01%, +0.51%] | 0.030 |
| 5d | spxew | -0.02% | +0.15% | [+0.03%, +0.53%] | 0.005 |
| 20d | spx | -0.28% | +0.26% | [+0.12%, +0.57%] | 0.005 |
| 20d | msci | -0.11% | +0.39% | [+0.24%, +0.70%] | 0.005 |
| 20d | spxew | -0.04% | +0.46% | [+0.31%, +0.77%] | 0.005 |
| 60d | spx | -0.63% | +0.60% | [+0.39%, +0.94%] | 0.005 |
| 60d | msci | -0.10% | +1.04% | [+0.82%, +1.41%] | 0.005 |
| 60d | spxew | +0.19% | +1.27% | [+1.06%, +1.61%] | 0.005 |
| 252d | spx | -2.39% | +1.81% | [+1.49%, +2.18%] | 0.005 |
| 252d | msci | +0.23% | +4.13% | [+3.82%, +4.53%] | 0.005 |
| 252d | spxew | +1.49% | +5.47% | [+5.13%, +5.83%] | 0.005 |
Example triggers on US large-caps (2023+, mcap ≥ $30B)
Six recent bearish STOCHASTICS triggers on US mega-caps, filtered to |alpha| ≤ 25% to exclude catalyst-driven outliers (earnings surprises, M&A, binary events). The first three are the strongest outcomes — what the signal looks like when it works. The last three are the weakest — what the signal looks like when it fails. Each chart shows the stock's price with signal-appropriate technical overlays (e.g. MACD subpanel on MACD pages, Bollinger Bands on Bollinger pages, the 52-week trailing max line on 52w-high pages), a dot marking the trigger date, and the forward window shaded (green when the signal was right, red when it wasn't). Click any chart to open full-size.
Strongest outcomes (what STOCHASTICS looks like when it works)
Weakest outcomes (what STOCHASTICS looks like when it fails)
Stock-regime quadrants (2×2 per-stock, 20d alpha detail table)
| Quadrant | N | Stock % (spx) | Bench % (spx) | Alpha % (spx) | p (HAC) | Stock % (msci) | Bench % (msci) | Alpha % (msci) | p (HAC) | Stock % (spxew) | Bench % (spxew) | Alpha % (spxew) | p (HAC) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Trending + Low vol Clean directional grind, low whipsaw | 34,920 | +0.15% | +0.51% | -0.31% | <0.001 | +0.15% | +0.31% | -0.10% | 0.0197 | +0.15% | +0.15% | +0.07% | 0.0802 |
| Trending + High vol Crisis selloff or parabolic rally | 120,452 | +0.79% | +1.08% | -0.24% | <0.001 | +0.79% | +0.96% | -0.09% | 0.0694 | +0.79% | +0.85% | +0.01% | 0.7966 |
| Non-trending + Low vol Quiet chop, summer doldrums | 38,657 | +0.20% | +0.65% | -0.42% | <0.001 | +0.20% | +0.42% | -0.19% | <0.001 | +0.20% | +0.33% | -0.09% | 0.0195 |
| Non-trending + High vol Classical "whipsaw zone" for momentum | 145,722 | +0.82% | +1.04% | -0.18% | <0.001 | +0.82% | +0.92% | -0.04% | 0.3119 | +0.82% | +0.90% | -0.03% | 0.5061 |
Sub-period breakdown table (20d alpha)
| Period | N | Alpha % (spx) | p (HAC) | Alpha % (msci) | p (HAC) | Alpha % (spxew) | p (HAC) |
|---|---|---|---|---|---|---|---|
| 2015-2019 2015-01-01 → 2020-01-01 | 105,960 | -0.39% | <0.001 | -0.17% | <0.001 | -0.11% | 0.0044 |
| 2020-2022 2020-01-01 → 2023-01-01 | 104,094 | +0.03% | 0.5379 | +0.18% | 0.0004 | -0.14% | 0.0063 |
| 2023-2026 2023-01-01 → 2099-01-01 | 129,706 | -0.41% | <0.001 | -0.28% | <0.001 | +0.13% | 0.0060 |
Methodology and caveats
How to read. Entry at open of T+1 (one trading day after the signal fires on close of T). 20d = open T+1 to close T+20. Alpha = stock return − benchmark return over the same window (Convention A, single-sided, textbook). For bullish triggers, POSITIVE alpha = signal was right. For bearish triggers, NEGATIVE alpha = signal was right (stock underperformed market). No sign-flipping; the direction of the bet determines what "good" looks like. Per-stock regime is each stock's own ADX(14) and RV(20) at the trigger date — not market-wide state.
Three p-values, three robustness tests. (a) p_naive: scipy one-sample t-test on winsorized alphas. Optimistic because overlapping 20d windows on the same ticker inflate effective N. (b) p_hac: Newey-West HAC with lag = horizon — corrects for the overlap and is the academic-finance standard. (c) p_perm: fraction of 200 random-date null iterations with mean ≥ observed. Tests whether the signal beats random date selection at all. A signal that clears all three (pnaive, phac, pperm all < 0.05) has real information; a signal that fails pperm has zero edge even if the t-test says "significant."
Caveats. (i) Universe reflects today's active tickers; delisted losers pruned → survivorship bias. (ii) Mcap ≥ $100M filter uses today's snapshot, not point-in-time — mild lookahead on which stocks enter the sample, not on returns. (iii) Means and p-values use winsorized alphas (1/99 percentile) to prevent data errors from dominating. Medians and hit rates use raw data. (iv) Zero transaction costs assumed. Realistic bid-ask + commissions remove 20–40bps from 20d alpha on US large-caps, more on small-cap. Sub-20bps alpha is noise in practice. (v) Past performance does not predict future results.
How to use this
1 · When to reach for this signal
Caution recommended. Bullish 20d alpha is -0.08% and worse than random — triggering on random dates would have produced better long-side returns. Either direction fails the "beats random" test. Don't use Stochastics (Slow) as a standalone entry trigger. It may still be useful as part of a composite (section 4).
2 · When it works — the setups that drive it
- Best bullish setup: Non-trending + High vol — alpha +0.13% / 20d on 145,996 historical triggers.
- Best bearish setup: Non-trending + High vol — alpha -0.18% / 20d on 145,722 historical triggers.
- Best era for bullish: 2015-2019 — alpha +0.21% / 20d.
- Best era for bearish: 2020-2022 — alpha +0.03% / 20d.
3 · When it fails — common false positives
- Weakest bullish cell: Trending + Low vol — alpha -0.57% / 20d on 18,415 triggers.
- Weakest bearish cell: Non-trending + Low vol — alpha -0.42% / 20d on 38,657 triggers.
- Worst era for bullish: 2023-2026 — alpha -0.37% / 20d.
- Worst era for bearish: 2023-2026 — alpha -0.41% / 20d.
Signal-specific failure patterns
4 · Pairing inside a screen
The statements below describe how this signal relates to others by construction — which indicator family it belongs to, and where same-family redundancy might reduce the independence of evidence inside a Daily Report. These are taxonomic classifications drawn from standard technical-analysis texts; they are not pairing backtests. A multi-signal convergence backtest is planned but not yet run.
Oscillator-family redundancy
Stochastics belongs to the momentum-oscillator family alongside RSI, Williams %R, and CCI — each is constructed from closing price over a short lookback, normalised to a bounded range (Murphy, Technical Analysis of the Financial Markets, 1999; Pring, Technical Analysis Explained, 5th ed. 2014; Kirkpatrick & Dahlquist, Technical Analysis, 3rd ed. 2015). Stacking two or more of these in the same direction within a single Daily Report produces correlated rather than independent evidence.
What would likely rescue this signal
This block calls out the data or conditions that could turn a technically weak signal into a usable one in a composite screen. Based on signal mechanics and the observed failure patterns above; individual combinations are not yet backtested.
- Pair with trend filter — Adding a 50DMA downtrend filter to bearish Stochastics should concentrate the alpha. Untested individually but consistent with how the other oscillators behave.
- Longer holding horizon — 60d alpha (−0.63) is more than double 20d alpha (−0.28). Time stops preserve more of the signal's edge than price stops.
See also Why technical-only signals don't survive on their own for the broader argument.
5 · Before you act — a 5-point checklist
- Normal trading day? Rule out earnings (within ±3 days), ex-dividend, or known corporate-action dates — the signal is almost certainly reading noise, not momentum, in those windows.
- Where is price vs its own 50 / 200 DMA? A mean-reversion signal firing against the long-term trend (e.g. oversold in a clean uptrend) is much more reliable than one firing with it.
- What's the sector breadth doing? An isolated signal in a broadly down-trending sector is a lower-confidence setup than one firing with the rest of its peer group.
- Is ADV20 enough for your size? If the trigger is on a $500M name and you want to move $1M notional, you're the tape. Consider adv20d ≥ 5% of your intended position.
- What invalidates you? Define a price level (for longs: a close below the trigger-day low; for shorts: close above the trigger-day high) and honor it. The backtest alpha is an average; any one trade can be at either tail.
Execution notes
Bearish is tradable. 20d and 60d both significant; 60d compounds. Entry open T+1. Bullish is a weak negative — skip.