ma_crossover
Moving Average Crossover
Golden Cross (bullish): fast MA crosses above slow MA. Death Cross (bearish): fast MA crosses below slow MA.
Signal family
Trend — Signals that fire when price is continuing or reversing an established directional move. Momentum-following by nature.
Parameters
| Name | Description | Default | Range |
|---|---|---|---|
| fast | Fast MA period | 50 | 5–200 |
| slow | Slow MA period | 200 | 20–500 |
Historical context
229,035 triggers on 21,536 tickers, 1989-03-31 → 2026-05-01. Universe: US large-cap (mcap ≥ $100,000,000, price ≥ $1). Long-only convention: BUY at open T+1, hold the horizon, compare to S&P 500 Equal Weight over the same window.
Methodology footnotes
Benchmarks shown in the detail tables: spxew (S&P 500 Equal Weight — primary, median-stock view, avoids the 2020+ megacap-concentration distortion), spx (S&P 500 cap-weighted, distorted post-2020), msci (MSCI World USD). Per-stock regime tags: trending = ADX(14) ≥ 25, high vol = 20d realized annualized vol ≥ 20%. 1d return = intraday T+1 open→close; 20d = open T+1 to close T+20.
At a glance — alpha vs S&P 500 Equal Weight, US-only
Holding-period sensitivity. Bullish columns: positive = signal worked (long the trigger beat the index). Bearish columns: negative = signal worked (the flagged stock underperformed).
| Horizon | Bullish α | Bearish α |
|---|---|---|
| 5-day | -0.01% | +0.03% |
| 20-day | +0.20% | -0.05% |
| 60-day | +0.16% | +0.24% |
| 1-year | +3.55% | +0.85% |
Sign flip across horizons. Bullish triggers go from -0.01% (5d) to +3.55% (1y) — short-term fade but longer holding recovers and wins.
Bearish: beats random (p=0.015).
Where does MA_CROSSOVER actually fire?
The bucket distribution often reveals what the signal really is, regardless of its textbook label. Heavy concentration in "non-trending + high vol" = it's mostly a chop-market event. Heavy in "trending + low vol" = it picks up the smooth grinds. Read the chart before the alpha numbers — context shapes everything that follows.
Does it work in every regime?
Trigger alpha split by the host stock's own regime on the trigger date — trending or ranging, high-vol or low-vol. The 20d alpha you'd actually capture if you took the trade. Bars matching your direction's "right" sign (green) = the signal worked in that regime; opposite sign = avoid it there. A signal with one strong-positive bar and three flat ones isn't a "20d alpha" signal — it's a "20d alpha when the stock is X" signal.
Does it work in every era?
A multi-year average can hide major instability. The sample splits into three windows: 2015–2019 (pre-COVID), 2020–2022 (pandemic + 2022 bear), and 2023+ (post-ZIRP + AI megacap rally). All three matching your direction's "right" sign = the signal is durable. One era doing all the work = a regime-specific edge that may not repeat. The bigger the variance across eras, the smaller the position you should run.
↑ Bullish triggers
| Bench | Metric | 1d | 5d | 20d | 60d | 252d |
|---|---|---|---|---|---|---|
| spx | Stock % | +0.00% | +0.14% | +0.69% | +2.02% | +13.37% |
| Bench % | +0.01% | +0.22% | +0.99% | +3.01% | +14.40% | |
| Alpha % | -0.02% | -0.07% | -0.21% | -1.01% | -1.20% | |
| Median alpha | -0.09% | -0.41% | -1.38% | -3.74% | -11.18% | |
| Hit rate (α>0) | 47.7% | 45.8% | 43.4% | 40.1% | 37.3% | |
| p (naive) | 0.0297 | 0.0003 | <0.001 | <0.001 | <0.001 | |
| p (HAC) | 0.0305 | 0.0003 | <0.001 | <0.001 | 0.0169 | |
| N | 110,777 | 107,245 | 106,920 | 104,949 | 92,545 | |
| msci | Stock % | +0.00% | +0.14% | +0.69% | +2.02% | +13.37% |
| Bench % | +0.04% | +0.22% | +0.84% | +2.59% | +11.78% | |
| Alpha % | -0.04% | -0.05% | -0.06% | -0.55% | +1.35% | |
| Median alpha | -0.12% | -0.40% | -1.23% | -3.31% | -8.69% | |
| Hit rate (α>0) | 47.1% | 46.0% | 44.1% | 41.2% | 39.9% | |
| p (naive) | <0.001 | 0.0050 | 0.1036 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | 0.0051 | 0.1097 | <0.001 | 0.0070 | |
| N | 110,459 | 106,960 | 106,702 | 104,528 | 92,127 | |
| spxew | Stock % | +0.00% | +0.14% | +0.69% | +2.02% | +13.37% |
| Bench % | +0.03% | +0.16% | +0.62% | +1.88% | +9.82% | |
| Alpha % | -0.04% | -0.01% | +0.20% | +0.16% | +3.55% | |
| Median alpha | -0.10% | -0.33% | -0.96% | -2.47% | -6.05% | |
| Hit rate (α>0) | 47.7% | 46.6% | 45.4% | 43.2% | 42.4% | |
| p (naive) | <0.001 | 0.4653 | <0.001 | 0.0151 | <0.001 | |
| p (HAC) | <0.001 | 0.4655 | <0.001 | 0.0415 | <0.001 | |
| N | 109,789 | 105,519 | 105,348 | 103,501 | 91,322 |
Permutation null detail — all horizons × both benchmarks
| Horizon | Bench | Observed lift | Null mean | Null 95% CI | pperm |
|---|---|---|---|---|---|
| 1d | spx | +0.09% | +0.08% | [+0.07%, +0.10%] | 0.139 |
| 1d | msci | +0.10% | +0.09% | [+0.07%, +0.10%] | 0.149 |
| 1d | spxew | +0.09% | +0.08% | [+0.06%, +0.09%] | 0.020 |
| 5d | spx | +0.37% | +0.36% | [+0.32%, +0.40%] | 0.249 |
| 5d | msci | +0.38% | +0.36% | [+0.33%, +0.40%] | 0.204 |
| 5d | spxew | +0.38% | +0.34% | [+0.30%, +0.38%] | 0.025 |
| 20d | spx | +1.12% | +1.15% | [+1.07%, +1.22%] | 0.746 |
| 20d | msci | +1.16% | +1.16% | [+1.09%, +1.23%] | 0.577 |
| 20d | spxew | +1.31% | +1.12% | [+1.04%, +1.18%] | 0.005 |
| 60d | spx | +1.87% | +2.45% | [+2.31%, +2.57%] | 1.000 |
| 60d | msci | +1.89% | +2.47% | [+2.34%, +2.59%] | 1.000 |
| 60d | spxew | +2.28% | +2.38% | [+2.24%, +2.50%] | 0.905 |
| 252d | spx | +5.41% | +5.01% | [+4.79%, +5.27%] | 0.005 |
| 252d | msci | +5.55% | +4.96% | [+4.76%, +5.23%] | 0.005 |
| 252d | spxew | +6.02% | +4.62% | [+4.41%, +4.89%] | 0.005 |
Example triggers on US large-caps (2023+, mcap ≥ $30B)
Six recent bullish MA_CROSSOVER triggers on US mega-caps. Top three: the signal's best outcomes. Bottom three: the worst. Catalyst-driven outliers (|α| > 25%) excluded so what's left is the signal's own typical good and bad days, not earnings shocks.
Strongest outcomes (what MA_CROSSOVER looks like when it works)
Weakest outcomes (what MA_CROSSOVER 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 | 10,037 | +0.30% | +0.86% | -0.52% | <0.001 | +0.30% | +0.67% | -0.32% | <0.001 | +0.30% | +0.39% | -0.05% | 0.5184 |
| Trending + High vol Crisis selloff or parabolic rally | 57,317 | +0.97% | +1.00% | +0.06% | 0.3158 | +0.97% | +0.84% | +0.23% | 0.0002 | +0.97% | +0.59% | +0.54% | <0.001 |
| Non-trending + Low vol Quiet chop, summer doldrums | 10,996 | +0.42% | +0.87% | -0.41% | <0.001 | +0.42% | +0.71% | -0.25% | <0.001 | +0.42% | +0.49% | -0.02% | 0.7301 |
| Non-trending + High vol Classical "whipsaw zone" for momentum | 35,850 | +0.54% | +1.04% | -0.41% | <0.001 | +0.54% | +0.90% | -0.28% | <0.001 | +0.54% | +0.74% | -0.09% | 0.1860 |
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 | 27,578 | -1.08% | <0.001 | -0.80% | <0.001 | -0.72% | <0.001 |
| 2020-2022 2020-01-01 → 2023-01-01 | 36,368 | +0.66% | <0.001 | +0.72% | <0.001 | +0.49% | <0.001 |
| 2023-2026 2023-01-01 → 2099-01-01 | 50,218 | -0.37% | <0.001 | -0.21% | 0.0006 | +0.48% | <0.001 |
↓ Bearish triggers negative alpha = signal was right (stock underperformed market)
| Bench | Metric | 1d | 5d | 20d | 60d | 252d |
|---|---|---|---|---|---|---|
| spx | Stock % | +0.00% | +0.30% | +1.32% | +3.70% | +12.54% |
| Bench % | +0.03% | +0.29% | +1.56% | +3.91% | +14.95% | |
| Alpha % | -0.03% | -0.02% | -0.22% | -0.20% | -2.36% | |
| Median alpha | -0.07% | -0.27% | -1.00% | -2.31% | -10.55% | |
| Hit rate (α>0) | 48.0% | 47.1% | 44.9% | 43.3% | 37.4% | |
| p (naive) | <0.001 | 0.3064 | <0.001 | 0.0006 | <0.001 | |
| p (HAC) | <0.001 | 0.3120 | <0.001 | 0.0033 | <0.001 | |
| N | 111,434 | 107,675 | 106,456 | 103,697 | 93,782 | |
| msci | Stock % | +0.00% | +0.30% | +1.32% | +3.70% | +12.54% |
| Bench % | +0.06% | +0.29% | +1.38% | +3.48% | +12.49% | |
| Alpha % | -0.06% | -0.01% | -0.06% | +0.26% | -0.12% | |
| Median alpha | -0.11% | -0.27% | -0.85% | -1.83% | -8.16% | |
| Hit rate (α>0) | 47.4% | 47.0% | 45.5% | 44.6% | 39.8% | |
| p (naive) | <0.001 | 0.4279 | 0.0495 | <0.001 | 0.4394 | |
| p (HAC) | <0.001 | 0.4323 | 0.0524 | 0.0001 | 0.7317 | |
| N | 110,535 | 106,722 | 105,468 | 103,175 | 92,761 | |
| spxew | Stock % | +0.00% | +0.30% | +1.32% | +3.70% | +12.54% |
| Bench % | +0.05% | +0.24% | +1.39% | +3.50% | +11.73% | |
| Alpha % | -0.06% | +0.03% | -0.05% | +0.24% | +0.85% | |
| Median alpha | -0.09% | -0.20% | -0.80% | -1.72% | -7.00% | |
| Hit rate (α>0) | 47.6% | 47.7% | 45.9% | 44.9% | 41.0% | |
| p (naive) | <0.001 | 0.1289 | 0.1097 | <0.001 | <0.001 | |
| p (HAC) | <0.001 | 0.1325 | 0.1132 | 0.0007 | 0.0165 | |
| N | 110,300 | 106,246 | 104,802 | 102,404 | 92,156 |
Permutation null detail — all horizons × both benchmarks
| Horizon | Bench | Observed lift | Null mean | Null 95% CI | pperm |
|---|---|---|---|---|---|
| 1d | spx | +0.08% | +0.08% | [+0.07%, +0.10%] | 0.184 |
| 1d | msci | +0.08% | +0.09% | [+0.07%, +0.11%] | 0.169 |
| 1d | spxew | +0.06% | +0.08% | [+0.06%, +0.09%] | 0.050 |
| 5d | spx | +0.37% | +0.36% | [+0.32%, +0.39%] | 0.821 |
| 5d | msci | +0.38% | +0.36% | [+0.33%, +0.40%] | 0.781 |
| 5d | spxew | +0.38% | +0.34% | [+0.31%, +0.37%] | 0.995 |
| 20d | spx | +1.06% | +1.13% | [+1.06%, +1.20%] | 0.025 |
| 20d | msci | +1.10% | +1.15% | [+1.08%, +1.22%] | 0.080 |
| 20d | spxew | +1.00% | +1.10% | [+1.02%, +1.17%] | 0.015 |
| 60d | spx | +2.70% | +2.43% | [+2.30%, +2.55%] | 1.000 |
| 60d | msci | +2.74% | +2.45% | [+2.33%, +2.57%] | 1.000 |
| 60d | spxew | +2.41% | +2.36% | [+2.24%, +2.47%] | 0.771 |
| 252d | spx | +4.94% | +4.97% | [+4.73%, +5.18%] | 0.328 |
| 252d | msci | +4.86% | +4.92% | [+4.69%, +5.10%] | 0.279 |
| 252d | spxew | +4.17% | +4.58% | [+4.32%, +4.77%] | 0.005 |
Example triggers on US large-caps (2023+, mcap ≥ $30B)
Six recent bearish MA_CROSSOVER triggers on US mega-caps. Top three: the signal's best outcomes. Bottom three: the worst. Catalyst-driven outliers (|α| > 25%) excluded so what's left is the signal's own typical good and bad days, not earnings shocks.
Strongest outcomes (what MA_CROSSOVER looks like when it works)
Weakest outcomes (what MA_CROSSOVER 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 | 8,610 | +0.21% | +1.05% | -0.80% | <0.001 | +0.21% | +0.94% | -0.68% | <0.001 | +0.21% | +0.81% | -0.52% | <0.001 |
| Trending + High vol Crisis selloff or parabolic rally | 42,788 | +2.19% | +2.21% | -0.04% | 0.5391 | +2.19% | +1.94% | +0.22% | 0.0004 | +2.19% | +1.98% | +0.17% | 0.0063 |
| Non-trending + Low vol Quiet chop, summer doldrums | 13,530 | +0.38% | +0.91% | -0.51% | <0.001 | +0.38% | +0.82% | -0.41% | <0.001 | +0.38% | +0.70% | -0.29% | <0.001 |
| Non-trending + High vol Classical "whipsaw zone" for momentum | 49,902 | +1.03% | +1.25% | -0.20% | <0.001 | +1.03% | +1.12% | -0.09% | 0.0619 | +1.03% | +1.13% | -0.08% | 0.1217 |
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 | 29,173 | -0.55% | <0.001 | -0.40% | <0.001 | -0.41% | <0.001 |
| 2020-2022 2020-01-01 → 2023-01-01 | 37,771 | -0.19% | 0.0027 | +0.08% | 0.1981 | -0.42% | <0.001 |
| 2023-2026 2023-01-01 → 2099-01-01 | 47,844 | -0.03% | 0.5612 | +0.05% | 0.3571 | +0.50% | <0.001 |
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
Neutral signal. Bullish 20d alpha -0.21%, bearish -0.22%. Neither direction beats random date selection (pperm not significant either way). Observed alpha is likely noise or universe drift rather than information about the trigger. Useful for context, not for standalone entries.
2 · When it works — the setups that drive it
- Best bullish setup: Trending + High vol — alpha +0.06% / 20d on 57,317 historical triggers.
- Best bearish setup: Trending + High vol — alpha -0.04% / 20d on 42,788 historical triggers.
- Best era for bullish: 2020-2022 — alpha +0.66% / 20d.
- Best era for bearish: 2023-2026 — alpha -0.03% / 20d.
3 · When it fails — common false positives
- Weakest bullish cell: Trending + Low vol — alpha -0.52% / 20d on 10,037 triggers.
- Weakest bearish cell: Trending + Low vol — alpha -0.80% / 20d on 8,610 triggers.
- Worst era for bullish: 2015-2019 — alpha -1.08% / 20d.
- Worst era for bearish: 2015-2019 — alpha -0.55% / 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.
Trend-follower family
Moving-average crossover signals are derived from the intersection of two price moving averages at different lookbacks and are classified as trend-following (Murphy, Technical Analysis of the Financial Markets, 1999; Kirkpatrick & Dahlquist, Technical Analysis, 3rd ed. 2015). This construction overlaps with MACD, which is the difference of two EMAs (Appel, Technical Analysis: Power Tools for Active Investors, 2005); stacking MA crossover with MACD in the same direction 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.
- Use as confirmation filter, not entry trigger — The signals natural home is as a regime gate: take MACD bullish trades only when the 50DMA is above the 200DMA, or take RSI bearish only during death-cross regime. Layered onto other triggers, MA crossover improves precision without its own weak short-horizon returns doing damage.
- Volume confirmation for bearish death cross — Death crosses on expanding volume are more decisive than on contracting volume (the latter is often a late-stage rollover that is about to bounce). A filter requiring volume above 1.2x the 20d average during the week the cross prints would sharpen the bearish signal.
- Faster MA parameters — A formal parameter grid search (20/50, 50/150, 50/200, 100/200) would reveal whether the lag issue can be reduced by going faster without losing too much signal-to-noise.
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 trend signal is only as credible as the underlying trend it claims to confirm. Check the 200DMA orientation before acting.
- 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
MA crossover is a lagging structural indicator — not a timing signal. Best use: regime gate that tells you which side of the market structure favors your other triggers. The 1-year alpha numbers are the headline; the 20-day numbers are noise around a structural state. Entry open T+1 if traded directly.