Quantitative Research Suite · Phase 2

XAUUSD Historical Expected Range Explorer

Empirical session range distributions and directional move models derived from completed broker 1H candles. Calculate median session expectations, interquartile typical bounds, and 90th percentile overextension thresholds with strict zero look-ahead bias.

Zero Look-Ahead Bias EnforcedExness MT5 Broker ProvenanceSample: N=60 Completed Sessions (Baseline: 93–94 Completed Sessions)

Interactive Filter Matrix

Select session, historical lookback sample, and metric to recalculate empirical price distributions.

Active: 07:00 – 16:00 UTC
Shares 12:00–16:00 UTC overlap with New York.

Active: N = 60 completed sessions (Full baseline: N=95)

Total session volatility breadth

Median Expected

$53.33

50th percentile (50% above, 50% below)

Typical Span (IQR)

$43.8 – $67.6

25th to 75th percentile core zone

90th Percentile Bound

$101.80

90% of sessions had ranges ≤ this level

Directional Split

42% / 58% / 0%

Bull / Bear / Flat (Sum: 100%)

Sample Window

N=60

08-03 to 10-23

Empirical Frequency Distribution (London Session (European Core))

Histogram bins showing historical frequency of session ranges.

Mean: $59.6 ± $23.6 (σ)
$25 – $38
8 sessions13%
$38 – $51
16 sessions27%
$51 – $64Median Zone
18 sessions30%
$64 – $77
7 sessions12%
$77 – $90
1 sessions2%
$90 – $103P90 Threshold
4 sessions7%
$103 – $116
5 sessions8%
$116 – $129
1 sessions2%
$129 – $142
0 sessions0%

Multi-Session Empirical Comparison Matrix (Institutional Baseline: 93–94 Completed Sessions)

Side-by-side empirical metrics computed across completed regular sessions with zero look-ahead bias. (Asian N=94 includes today's concluded 00:00–09:00 UTC session; London/NY N=93 exclude today's incomplete trading days; active rolling filter above: 60D = N=60).

Session WindowHours (UTC)Sample (N)P25 RangeMedian RangeP75 RangeP90 ThresholdMove MedianDirectional Split (Bull / Bear / Flat)
Asian Session (Tokyo/Sydney)00:00 – 09:00 UTC95$36.9$47.7$64.4$78.2$22.545% / 54% / 1%
London Session (European Core)(Selected)07:00 – 16:00 UTC95$41.2$52.2$68.2$94.5$25.541% / 59% / 0%
New York Session (US Core)12:00 – 21:00 UTC95$38.1$46.1$63.6$80.9$16.843% / 57% / 0%
Full Gold Trading Day00:00 – 21:00 UTC95$60.0$79.1$102.6$124.3$34.142% / 58% / 0%

Interquartile Baseline (P25–P75)

Descriptive historical analysis shows 50% of completed sessions recorded ranges between $43.8 and $67.6. Market participants compare current session expansion against this empirical core to evaluate whether volatility is tracking standard dispersion or entering tail regimes.

Size position for this range →

Session Overlap Architecture

London (07:00–16:00 UTC) and New York (12:00–21:00 UTC) share a 4-hour overlap (12:00–16:00 UTC). During this window, European bullion clearing desks (LBMA OTC) and North American futures participants (COMEX) trade concurrently alongside tier-1 US macroeconomic announcements, generating the deepest market liquidity of the 24-hour cycle (estimated between 50%–65% of active daily turnover according to BIS and World Gold Council surveys).

View session overlap killzones →

90th Percentile Statistical Threshold

Sessions exceeding $101.8 represent the top 10% widest historical outcomes in this sample. While large intraday expansions reflect heightened volatility, empirical percentile boundaries alone do not predict automatic price exhaustion or guaranteed mean-reversion without external order-flow catalysts.

Historical Boundary: 10% sample occurrence

Historical Session Audit Log (London Session (European Core))

Latest 15 completed regular sessions with broker OHLC execution metrics.

Zero look-ahead bias enforced
Session DateOpen PriceHigh PriceLow PriceClose PriceTotal RangeNet MoveBias
2026-10-23$4012.72$4034.46$3975.40$4003.57$59.06-$9.15BEARISH
2026-10-22$4092.51$4101.18$4044.55$4051.96$56.63-$40.55BEARISH
2026-10-21$4112.20$4141.97$4111.43$4131.55$30.54+$19.35BULLISH
2026-10-20$4134.61$4155.60$4111.54$4131.09$44.06-$3.53BEARISH
2026-10-19$4184.05$4190.58$4139.56$4141.56$51.03-$42.50BEARISH
2026-10-16$4176.89$4199.09$4154.63$4167.95$44.46-$8.94BEARISH
2026-10-15$4136.03$4168.59$4130.38$4149.87$38.22+$13.84BULLISH
2026-10-14$4147.39$4157.75$4079.45$4080.50$78.31-$66.89BEARISH
2026-10-13$4191.95$4193.92$4156.69$4159.21$37.22-$32.73BEARISH
2026-10-12$4186.05$4188.34$4154.64$4165.16$33.69-$20.89BEARISH
2026-10-09$4196.07$4201.88$4168.35$4188.56$33.52-$7.51BEARISH
2026-10-08$4121.81$4140.51$4109.80$4112.09$30.72-$9.72BEARISH
2026-10-07$4130.62$4139.59$4066.34$4105.48$73.25-$25.15BEARISH
2026-10-06$4131.67$4179.74$4128.39$4164.48$51.35+$32.81BULLISH
2026-10-05$4155.11$4170.43$4123.12$4136.81$47.31-$18.31BEARISH
Quantitative Methodology & Mathematical Disclosures
  • Strict zero look-ahead bias: In-progress session candles excluded. Analyzed N=60 completed regular trading sessions (latest completed: 2026-10-23).
  • Session Sample Count Alignment: Asian session contains N=94 completed sessions (including today's concluded 00:00–09:00 UTC window), whereas London (07:00–16:00 UTC, N=93) and New York (12:00–21:00 UTC, N=93) enforce zero look-ahead bias by strictly excluding incomplete trading days until their formal daily session close.
  • Lookback Window Context: The active interactive distribution models the chosen rolling sample (default 60 completed sessions, or ~3 calendar months) to capture prevailing regime volatility. In contrast, the Multi-Session Benchmark Matrix evaluates the full 95-session baseline sample (N=95) to provide normalized seasonal benchmarks across all trading sessions.
  • Session Overlap Architecture: London (07:00–16:00 UTC) and New York (12:00–21:00 UTC) share a 4-hour overlap window between 12:00 and 16:00 UTC. This overlap is intentional and reflects authentic market microstructure: during these 4 hours, both London bullion fixings and US macroeconomic news releases occur simultaneously, driving peak liquidity and volume. Session metrics are calculated over each respective regulatory market window rather than artificially truncating the overlap.
  • Directional totals: Bullish (42%) + Bearish (58%) + Neutral/Flat (0%) sum to exactly 100.0%.
  • Broker feed source: Exness MT5 tick bridge via ohlcv_cache (1H completed bar aggregation).
  • Interquartile typical bounds: $43.78 to $67.62. Empirical 90th percentile threshold: $101.8.
  • Empirical Distribution vs Prediction: Metrics describe historical sample distributions and the 95% confidence interval of the sample mean [$53.59, $65.53]. They do not constitute prediction intervals or predictive forecasts of future session price ranges.
  • 90th Percentile Bound: 90% of observed historical sessions recorded ranges <= $101.8. Expansion beyond this boundary occurred in 10% of sessions as a descriptive historical frequency, not a predictive signal of automatic reversal or exhaustion.
  • Statistical Classification Notice: This research tool computes purely descriptive statistics from past completed broker sessions. Metrics include empirical percentiles (P25, median, P75, P90) and the 95% confidence interval for the sample mean. They do not constitute prediction intervals, Bayesian posteriors, or predictive trading signals.
  • Trading Risk Disclaimer: Past session range distributions reflect historical market structure under specific macroeconomic and volatility environments. They do not constitute guaranteed trading boundaries, stop-loss insurance, or investment advice.