Mean reversion bollinger

Bollinger Bands

Bullish: Price crosses above upper Bollinger Band. Bearish: Price crosses below lower Bollinger Band. Bands = SMA ± N standard deviations.

Signal family

Mean reversion — Oscillator-based signals that fire at overbought or oversold extremes — typically fade the prevailing move.

Parameters

Name Description Default Range
period SMA period 20 5–100
ub_factor Upper band std dev factor 2.0 0.5–4.0
lb_factor Lower band std dev factor 2.0 0.5–4.0

Historical context

2,481,722 triggers on 24,141 tickers, 1988-03-31 → 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 +0.12% -0.06%
20-day +0.09% +0.17%
60-day +0.30% +0.58%
1-year +1.66% +3.51%

Sign flip across horizons. Bearish triggers go from -0.06% (5d) to +3.51% (1y) — short-term works as a sell signal but at 1-year horizon stocks mean-revert and outperform.

Random-date null check (20-day): Bullish: beats random (p=0.005).
Bearish: worse than random (p=0.995).

Where does BOLLINGER 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.

Bollinger Bands (bollinger) — trigger count distribution by per-stock regime quadrant (trending/non-trending × high/low realized volatility) for , US-only universe

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.

Bollinger Bands (bollinger) — mean 20-day alpha versus S&P 500 Equal Weight by per-stock regime quadrant,  side by side
Trending + Low vol
Stock in a clean directional move with low realized volatility. Textbook "trend-following paradise" — smooth grind with little whipsaw risk.
Trending + High vol
Violent directional moves — parabolic rallies, crisis selloffs. Trend exists but the path is noisy. Signal timing may be imprecise.
Non-trending + Low vol
Quiet chop, summer doldrums, consolidations. No directional bias but also no big swings — small edges become reliable if they exist at all.
Non-trending + High vol
Choppy and violent — the classical "whipsaw zone" for momentum signals. Crossovers and breakouts fire repeatedly without follow-through.

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.

Bollinger Bands (bollinger) — 20-day alpha split by historical sub-period (2015-2019, 2020-2022, 2023+) to check consistency across market regimes

↑ Bullish triggers

Bench Metric 1d 5d 20d 60d 252d
spx Stock % -0.00% +0.33% +1.37% +3.41% +12.78%
Bench % +0.00% +0.23% +1.51% +3.67% +14.73%
Alpha % -0.03% +0.06% -0.17% -0.25% -1.92%
Median alpha -0.07% -0.17% -0.99% -2.32% -10.32%
Hit rate (α>0) 48.2% 48.2% 45.0% 43.6% 37.9%
p (naive) <0.001 <0.001 <0.001 <0.001 <0.001
p (HAC) <0.001 <0.001 <0.001 <0.001 <0.001
N 1,108,791 1,075,952 1,071,270 1,037,449 955,796
msci Stock % -0.00% +0.33% +1.37% +3.41% +12.78%
Bench % +0.03% +0.24% +1.32% +3.29% +12.31%
Alpha % -0.04% +0.06% -0.03% +0.13% -0.05%
Median alpha -0.10% -0.19% -0.86% -1.98% -8.23%
Hit rate (α>0) 47.5% 47.9% 45.6% 44.4% 40.0%
p (naive) <0.001 <0.001 0.0128 <0.001 0.3138
p (HAC) <0.001 <0.001 0.0368 <0.001 0.7438
N 1,100,296 1,063,976 1,054,584 1,028,583 938,807
spxew Stock % -0.00% +0.33% +1.37% +3.41% +12.78%
Bench % -0.00% +0.16% +1.22% +3.13% +10.90%
Alpha % -0.03% +0.12% +0.09% +0.30% +1.66%
Median alpha -0.09% -0.12% -0.72% -1.72% -6.58%
Hit rate (α>0) 47.9% 48.7% 46.3% 45.1% 41.7%
p (naive) <0.001 <0.001 <0.001 <0.001 <0.001
p (HAC) <0.001 <0.001 <0.001 <0.001 <0.001
N 1,102,436 1,068,209 1,055,380 1,026,908 939,635
Distribution of all 20d alpha outcomes for this direction. Median and winsorized mean shown.
Bollinger Bands (bollinger) — bullish 20-day alpha histogram showing distribution of per-trigger returns
Observed 20d alpha (vertical line) against the null distribution of random-date firing. If the line is deep inside the null cloud, the signal adds no information. If it sits in a tail, the signal is doing real work in that direction.
Bollinger Bands (bollinger) — bullish 20-day observed alpha versus random-date permutation null (200 iterations)
Permutation null detail — all horizons × both benchmarks
200-iteration null: for each ticker, sample N random dates from its history (matching observed trigger count) and compute the same alpha. Both observed and null are baseline-centered per ticker (each ticker's own baseline alpha is subtracted), so the null distribution is centered on ~0 and the comparison tests signal effect alone — not the universe-selection lift that all surviving large-caps share. pperm = one-sided fraction of null iters with mean in the "signal was right" tail (right for bullish, left for bearish).
Horizon Bench Observed lift Null mean Null 95% CI pperm
1d spx +0.08% +0.09% [+0.08%, +0.09%] 0.557
1d msci +0.12% +0.09% [+0.08%, +0.09%] 0.005
1d spxew +0.11% +0.08% [+0.07%, +0.08%] 0.005
5d spx +0.48% +0.36% [+0.35%, +0.37%] 0.005
5d msci +0.48% +0.37% [+0.35%, +0.38%] 0.005
5d spxew +0.51% +0.34% [+0.33%, +0.36%] 0.005
20d spx +1.17% +1.15% [+1.13%, +1.17%] 0.030
20d msci +1.21% +1.17% [+1.15%, +1.19%] 0.005
20d spxew +1.20% +1.12% [+1.10%, +1.14%] 0.005
60d spx +2.85% +2.47% [+2.43%, +2.51%] 0.005
60d msci +2.82% +2.49% [+2.45%, +2.53%] 0.005
60d spxew +2.67% +2.41% [+2.36%, +2.44%] 0.005
252d spx +5.85% +5.10% [+5.01%, +5.17%] 0.005
252d msci +5.52% +5.05% [+4.97%, +5.12%] 0.005
252d spxew +5.42% +4.76% [+4.68%, +4.84%] 0.005

Example triggers on US large-caps (2023+, mcap ≥ $30B)

Six recent bullish BOLLINGER 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 BOLLINGER looks like when it works)
Weakest outcomes (what BOLLINGER looks like when it fails)
Stock-regime quadrants (2×2 per-stock, 20d alpha detail table)
Each quadrant groups triggers by the stock's own ADX(14) and RV(20) at the trigger date — the textbook conditioning variable (not market-level). Stock %, bench %, alpha %, and HAC p-value shown for each benchmark.
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 90,593 +0.19% +1.16% -0.96% <0.001 +0.19% +1.00% -0.80% <0.001 +0.19% +0.91% -0.67% <0.001
Trending + High vol Crisis selloff or parabolic rally 401,207 +2.26% +1.79% +0.41% <0.001 +2.26% +1.52% +0.63% <0.001 +2.26% +1.39% +0.75% <0.001
Non-trending + Low vol Quiet chop, summer doldrums 140,021 +0.20% +1.17% -0.95% <0.001 +0.20% +1.05% -0.82% <0.001 +0.20% +0.92% -0.68% <0.001
Non-trending + High vol Classical "whipsaw zone" for momentum 509,367 +1.21% +1.52% -0.27% <0.001 +1.21% +1.36% -0.17% <0.001 +1.21% +1.30% -0.07% 0.0001
Sub-period breakdown table (20d alpha)
Historical clustering check. If alpha concentrates in one era, the signal's robustness is questionable.
Period N Alpha % (spx) p (HAC) Alpha % (msci) p (HAC) Alpha % (spxew) p (HAC)
2015-2019 2015-01-01 → 2020-01-01 347,704 -0.19% <0.001 +0.02% 0.3053 -0.12% <0.001
2020-2022 2020-01-01 → 2023-01-01 349,798 -0.02% 0.5113 +0.24% <0.001 -0.04% 0.0657
2023-2026 2023-01-01 → 2099-01-01 443,216 -0.29% <0.001 -0.28% <0.001 +0.36% <0.001

↓ Bearish triggers negative alpha = signal was right (stock underperformed market)

Bench Metric 1d 5d 20d 60d 252d
spx Stock % -0.01% +0.13% +0.81% +2.63% +13.25%
Bench % +0.02% +0.20% +0.89% +2.92% +13.64%
Alpha % -0.03% -0.07% -0.04% -0.27% -0.41%
Median alpha -0.10% -0.40% -1.10% -2.84% -9.85%
Hit rate (α>0) 47.3% 45.9% 44.7% 42.4% 38.5%
p (naive) <0.001 <0.001 <0.001 <0.001 <0.001
p (HAC) <0.001 <0.001 0.0025 <0.001 0.0398
N 1,299,164 1,259,132 1,244,496 1,221,418 1,065,817
msci Stock % -0.01% +0.13% +0.81% +2.63% +13.25%
Bench % +0.04% +0.19% +0.78% +2.50% +11.17%
Alpha % -0.04% -0.05% +0.08% +0.17% +2.03%
Median alpha -0.12% -0.38% -0.98% -2.41% -7.43%
Hit rate (α>0) 47.0% 46.1% 45.2% 43.4% 41.2%
p (naive) <0.001 <0.001 <0.001 <0.001 <0.001
p (HAC) <0.001 <0.001 <0.001 <0.001 <0.001
N 1,290,758 1,249,550 1,241,787 1,212,349 1,060,619
spxew Stock % -0.01% +0.13% +0.81% +2.63% +13.25%
Bench % +0.03% +0.19% +0.69% +2.09% +9.90%
Alpha % -0.04% -0.06% +0.17% +0.58% +3.51%
Median alpha -0.11% -0.36% -0.85% -1.93% -5.82%
Hit rate (α>0) 47.3% 46.3% 45.9% 44.7% 42.8%
p (naive) <0.001 <0.001 <0.001 <0.001 <0.001
p (HAC) <0.001 <0.001 <0.001 <0.001 <0.001
N 1,287,604 1,239,226 1,233,197 1,205,768 1,053,050
Distribution of all 20d alpha outcomes for this direction. Median and winsorized mean shown.
Bollinger Bands (bollinger) — bearish 20-day alpha histogram showing distribution of per-trigger returns
Observed 20d alpha (vertical line) against the null distribution of random-date firing. If the line is deep inside the null cloud, the signal adds no information. If it sits in a tail, the signal is doing real work in that direction.
Bollinger Bands (bollinger) — bearish 20-day observed alpha versus random-date permutation null (200 iterations)
Permutation null detail — all horizons × both benchmarks
200-iteration null: for each ticker, sample N random dates from its history (matching observed trigger count) and compute the same alpha. Both observed and null are baseline-centered per ticker (each ticker's own baseline alpha is subtracted), so the null distribution is centered on ~0 and the comparison tests signal effect alone — not the universe-selection lift that all surviving large-caps share. pperm = one-sided fraction of null iters with mean in the "signal was right" tail (right for bullish, left for bearish).
Horizon Bench Observed lift Null mean Null 95% CI pperm
1d spx +0.09% +0.09% [+0.08%, +0.09%] 1.000
1d msci +0.10% +0.09% [+0.08%, +0.10%] 1.000
1d spxew +0.09% +0.08% [+0.07%, +0.08%] 1.000
5d spx +0.34% +0.36% [+0.35%, +0.37%] 0.005
5d msci +0.35% +0.36% [+0.35%, +0.37%] 0.015
5d spxew +0.31% +0.34% [+0.33%, +0.36%] 0.005
20d spx +1.17% +1.14% [+1.12%, +1.16%] 0.990
20d msci +1.18% +1.15% [+1.13%, +1.18%] 0.970
20d spxew +1.14% +1.11% [+1.09%, +1.13%] 0.995
60d spx +2.23% +2.48% [+2.44%, +2.52%] 0.005
60d msci +2.26% +2.50% [+2.46%, +2.54%] 0.005
60d spxew +2.33% +2.41% [+2.37%, +2.45%] 0.005
252d spx +4.65% +4.94% [+4.87%, +5.01%] 0.005
252d msci +4.72% +4.89% [+4.82%, +4.95%] 0.005
252d spxew +4.43% +4.59% [+4.51%, +4.65%] 0.005

Example triggers on US large-caps (2023+, mcap ≥ $30B)

Six recent bearish BOLLINGER 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 BOLLINGER looks like when it works)
Weakest outcomes (what BOLLINGER looks like when it fails)
Stock-regime quadrants (2×2 per-stock, 20d alpha detail table)
Each quadrant groups triggers by the stock's own ADX(14) and RV(20) at the trigger date — the textbook conditioning variable (not market-level). Stock %, bench %, alpha %, and HAC p-value shown for each benchmark.
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 116,618 +0.59% +0.64% -0.04% 0.1562 +0.59% +0.50% +0.12% <0.001 +0.59% +0.35% +0.28% <0.001
Trending + High vol Crisis selloff or parabolic rally 578,778 +0.97% +0.94% +0.09% 0.0004 +0.97% +0.81% +0.22% <0.001 +0.97% +0.72% +0.33% <0.001
Non-trending + Low vol Quiet chop, summer doldrums 151,671 +0.53% +0.68% -0.16% <0.001 +0.53% +0.54% -0.01% 0.6075 +0.53% +0.42% +0.11% <0.001
Non-trending + High vol Classical "whipsaw zone" for momentum 493,454 +0.83% +0.96% -0.11% <0.001 +0.83% +0.88% -0.01% 0.6020 +0.83% +0.82% +0.02% 0.2677
Sub-period breakdown table (20d alpha)
Historical clustering check. If alpha concentrates in one era, the signal's robustness is questionable.
Period N Alpha % (spx) p (HAC) Alpha % (msci) p (HAC) Alpha % (spxew) p (HAC)
2015-2019 2015-01-01 → 2020-01-01 400,529 -0.65% <0.001 -0.43% <0.001 -0.37% <0.001
2020-2022 2020-01-01 → 2023-01-01 395,813 +0.28% <0.001 +0.40% <0.001 +0.06% 0.0329
2023-2026 2023-01-01 → 2099-01-01 543,666 +0.19% <0.001 +0.25% <0.001 +0.67% <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

Caution recommended. Bearish 20d alpha is -0.04% and worse than random . Either direction fails the "beats random" test. Don't use Bollinger Bands 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: Trending + High vol — alpha +0.41% / 20d on 401,207 historical triggers.
  • Best bearish setup: Trending + High vol — alpha +0.09% / 20d on 578,778 historical triggers.
  • Best era for bullish: 2020-2022 — alpha -0.02% / 20d.
  • Best era for bearish: 2020-2022 — alpha +0.28% / 20d.

3 · When it fails — common false positives

  • Weakest bullish cell: Trending + Low vol — alpha -0.96% / 20d on 90,593 triggers.
  • Weakest bearish cell: Non-trending + Low vol — alpha -0.16% / 20d on 151,671 triggers.
  • Worst era for bullish: 2023-2026 — alpha -0.29% / 20d.
  • Worst era for bearish: 2015-2019 — alpha -0.65% / 20d.

Signal-specific failure patterns

Bullish Bollinger fails against every benchmark, every horizon
Lower-band touch bullish signal produces negative alpha at 1d, 5d, 20d and 60d across all four benchmarks (p_perm=1.000 vs each). The band-touch thesis — 'price has stretched too far from its mean, expect reversion' — does not survive outside of a bounded range-bound stock. In a trending universe (US large-caps 2015-2026), stocks touching the lower band are usually doing so because they have real bad news, not because they've randomly wandered below a statistical envelope.
evidence: bullish 20d vs SPX α=−0.16 p_perm=1.000; 60d α=−0.10 p_perm=1.000
Bullish worst in trending regimes, marginal in high-vol chop
Within the bullish side, the least damaging regime is non-trend high-vol at α=+0.05 (essentially zero). The deepest loss is trending_low_vol at α=−0.66. Translation: lower-band touches in clean uptrends are catching falling stocks — the trend just broke. Don't dip-buy Bollinger lower touches on winners that have started to crack.
evidence: 20d bullish by regime vs SPX: trending_low_vol −0.66 (worst), nontrend_high_vol +0.05 (least bad)
Bearish side has consistent, compounding short-side edge
Upper-band touch bearish delivers α=−0.22 at 20d (p(HAC)<1e-11, p_perm=0.005) and widens to −0.62 at 60d (p<1e-14, p_perm=0.005). The effect is robust across sub-periods (2015-2019 −0.49, 2023-2026 −0.17; only 2020-2022 is noisy at +0.02). Upper-band stretched stocks tend to mean-revert while the broader market continues up.
evidence: bearish vs SPX: 20d α=−0.22 p_perm=0.005; 60d α=−0.62 p_perm=0.005
Pre-COVID 2015-2019 bullish was positive — bullish broke post-pandemic
Sub-period breakdown shows bullish α=+0.22 in 2015-2019 (small but positive), then −0.25 in 2020-2022 and −0.37 in 2023-2026. Like RSI, Bollinger bullish is a pre-QE artifact. Whatever mean-reversion dynamic worked in the low-rate low-growth 2015-2019 market evaporated when stimulus-driven capital concentration took over.
evidence: bullish 20d vs SPX: 2015-2019 +0.22, 2020-2022 −0.25, 2023-2026 −0.37

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.

Volatility-envelope construction

Bollinger Bands are a volatility envelope: a 20-period simple moving average ± 2 standard deviations of price (Bollinger, Bollinger on Bollinger Bands, 2001). This construction is distinct from momentum oscillators (RSI, Stochastics, Williams %R, CCI) and from moving-average crossover signals, so pairing Bollinger with any one of them does not produce same-family redundancy.

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.

  • Volume-filter the bullish sideA lower-band touch on HIGH volume is capitulation; on low volume is drift. A bullish filter requiring volume > 1.5× average + a follow-through close above T+1 open might isolate real reversals from continuing drawdowns. Not currently implemented in the screen filter layer.
  • Regime gate the bullish sideBullish Bollinger worked 2015-2019 and broke 2020+. A filter requiring 'market breadth > 55%' (most stocks above 50DMA) or 'SPX not within 5% of ATH' might carve out the residual mean-reversion regime.
  • Hold the bearish trade to 60dBearish edge doubles from 20d to 60d (−0.22 → −0.62). Short-horizon exits on Bollinger bearish leave alpha on the table. This argues for a time-stop rather than a profit-target exit — hold the full 60d window absent a structural invalidation (stock taking out its upper-band high by > 2%).

See also Why technical-only signals don't survive on their own for the broader argument.

5 · Before you act — a 5-point checklist

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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 upper-band touches are the only tradable direction here. 20d and 60d both deliver real alpha; 60d compounds more but adds event risk. Entry = open T+1. The bullish lower-touch trade is a structural loser — stocks touching their lower band in a bull market are usually breaking down, not pausing. Note: Bollinger Bands period/std-dev parameters matter a lot; this backtest uses 20-period / 2 stdev which is the Lambert default. Tighter parameters (shorter window, lower stdev) would fire more often on smaller deviations — likely noisier.