ErgodicLabs · Edge Matrix · Quantitative Research
Algorithmic Strategy
Quantitative Validation Report
Advanced Index Trader Pro  ·  USTEC H1  ·  June 03, 2026  ·  Ref: EM-20260603-003958
Instrument
USTEC
Timeframe
H1
Period
6.69 years
Sample
1,048 trades
Tests Run
17 / 19 pass
70/100
STABLE
+351.5%
Total Return
25.3%
Annual CAGR
13.6%
Max Drawdown
1.9×
Calmar Ratio
63.5%
Win Rate
0.195R
Expectancy
0.88:1
Reward:Risk
5.46
T-Statistic
This system demonstrates a statistically confirmed positive expectancy across 6.69 years of backtest data encompassing 1,048 closed positions on USTEC H1. The strategy achieves 0.88:1 reward-to-risk, operating 10.4 percentage points above its mathematical breakeven threshold of 53.2%. Annualised CAGR of 25.3% relative to 13.6% maximum drawdown yields a Calmar ratio of 1.9×, below the professional benchmark range of 3–5×. Monte Carlo validation across 2,000 block-bootstrap simulations confirms structural consistency under adverse trade sequencing. 17 of 19 validation tests pass. 2 tests fall below the 70-point threshold and warrant review.
⚠ MODERATE EDGE (0.195R)
Section I
Analytical Findings & Observations
F.1
Statistical Significance Strength
The strongest dimension is Stat Significance (100/100). T-statistic of 5.46 exceeds the 99% two-tailed significance threshold of 2.576. (p = 0) Probability of results arising by chance is below 0.1%. The edge is statistically real given this 1001-trade sample. This test applies a Welch t-test on the profit distribution and requires the mean return to be significantly different from zero.
F.2
Tail Risk Elevation Finding
CVaR (95%) measures 2.38× the average loss — within acceptable range. The worst 51 trades (5% of sample) average $428.99 against a $180.08 mean loss. CVaR 99%: 3.34× average loss. Tail risk level: MODERATE. This elevation is partially structural: with a 0.88× RR ratio, the absolute average loss is modest, making tail events appear proportionally larger in ratio terms. Active monitoring of worst-case trade magnitude under live conditions is advisable.
F.3
MC Drawdown Envelope Observation
Block-bootstrap Monte Carlo (2,000 simulations, block size 15, AC lag-1: 0.053) produces a 95th-percentile maximum drawdown of 26.6% — approximately 1.9× the historical 13.7%. P50: 13.3%, P99: 35.1%. The historical sequence sits at the 53th percentile of the simulated distribution, confirming results were not predicated on an unusually favourable trade ordering. Risk management sizing against the MC P95 envelope rather than historical DD is advisable for live deployment.
F.4
Execution Sensitivity Observation
Under 10% execution degradation (wider spreads, adverse fills), expectancy retains 0.53× of its backtest level. At 0.195R base expectancy, the strategy remains profitable under this stress test. Forward testing under broker-accurate spread conditions is standard practice before capital deployment.
Development Considerations
Areas for Further Development
Edge Quality Improvement
Edge Quality scored 66/100. Expectancy of 0.195R is positive but thin — the win rate margin of 10.4% above breakeven (53.2%) leaves limited cushion against execution costs. Repeatability score is 88/100, indicating wins are consistent rather than lottery-driven. The primary lever is tightening entry criteria to filter lower-quality setups, which would reduce trade count but improve expectancy per trade without structural changes to the strategy.
Drawdown Endurance
DD Endurance scored 68/100. The strategy spends 72% of calendar time below its high-water mark — equity is in drawdown for nearly three quarters of the backtest. Longest single episode: 204d 2h 41m, longest recovery: 127d 2h 4m. Recovery speed is strong (median penance 2.04× vs the theoretical 3.0× IID expectation), so the issue is frequency of drawdown entry, not recovery speed. Consider whether the entry filter can be tightened to reduce the number of small losing episodes — these accumulate the underwater time, not the major DD events.
Streak Resilience
Consecutive Loss scored 72/100. Max losing streak of 5 against expected 7.4 (ratio 0.68×). Loss clustering ratio of 0.94 — losses are not clustering abnormally. Worst streak damage required 9× average wins to recover. Streak behaviour is within statistical expectations for this strategy.
Section II
Validation Test Results
79
Temporal
100
Statistical
87
Drawdown
72
Capital
100
Edge
87
Edge
89
Concentration
98
Ulcer
94
Sample
100
Return
94
MC
72
Consecutive
92
Cliff
92
MC
68
DD
73
Execution
88
Holding
66
Edge
74
Expected
Temporal Stability 79
GOOD — 9/10 profitable, 1 losing
9 of 10 equal calendar periods generated positive returns; 1 period was non-profitable. Return consistency CV of 0.66 indicates moderate variation in per-period returns. This score measures temporal robustness — a strategy that only profits in one or two periods may be regime-dependent rather than exhibiting a repeatable edge.
Statistical Significance 100
Highly significant edge (t=5.46, 99% confidence)
T-statistic of 5.46 exceeds the 99% two-tailed significance threshold of 2.576. (p = 0) Probability of results arising by chance is below 0.1%. The edge is statistically real given this 1001-trade sample. This test applies a Welch t-test on the profit distribution and requires the mean return to be significantly different from zero.
Drawdown Analysis 87
LOW drawdown (13.6% max, 2.5% avg episode)
Maximum drawdown of 13.6% with an average episode depth of 2.5%. The median recovery speed is 2.2 days per 1% of drawdown. 81 drawdown episodes were detected. No single episode dominates the overall drawdown profile, indicating consistent rather than event-driven risk. This test scores three components: max DD depth (50%), average episode depth (30%), and recovery quality in days per 1% of DD (20%).
Capital Efficiency 72
FAIR — 25.3% annual, Calmar 1.9
Compound annual growth rate of 25.3% against 13.7% maximum drawdown. Calmar ratio of 1.9× falls below the professional benchmark of 3–5×. CAGR is computed using true compound growth (end equity / start equity)^(1/6.69 years), not simple annualisation. Capital efficiency rewards strategies that generate high risk-adjusted returns relative to their worst historical loss.
Edge Temporal Decay 100
STABLE — Edge is consistent with no meaningful decay
Rolling expectancy regression slope is positive (normalised +0.89), indicating the edge has strengthened over the backtest horizon. Second-half expectancy exceeds first-half by 101% (ratio 2.01). Profit factor across four quartiles (1.389, 1.342, 1.544, 1.841) trends upward overall (normalised slope +0.31). Win rate trends upward across quartiles (normalised slope +0.14). This test detects whether a strategy's edge is eroding over time — a critical check for curve-fitted systems that perform well historically but deteriorate as market conditions evolve.
Edge Consistency 87
EXCELLENT — Edge performs consistently across all conditions
Win rate variance across weekdays falls within acceptable bounds. No structurally unprofitable weekday detected. Profit factor log-variance of 0.1632 and day-of-week variance of 12.5018 indicate edge quality does not fluctuate meaningfully by session day. This test checks whether the strategy's edge is consistent across all trading sessions or is heavily dependent on specific days or conditions.
Concentration Risk 89
EXCELLENT — Well distributed
Top 10% of winning trades account for 26.5% of total profit — well within the 30% ideal-diversification threshold. The largest single winner represents 0.8% of total profit, confirming no individual trade disproportionately sustains the overall result. Profit distribution is scored on two components: top-decile share (80%) and single largest winner share (20%). A well-distributed profit profile indicates genuine repeatable edge rather than lottery-dependent returns.
Ulcer Index 98
Excellent drawdown profile (UI: 2.4%)
Ulcer Index of 2.4% represents minimal cumulative drawdown pain. Max DD: 13.7%, avg DD: 1.65%, time underwater: 67.0%. Unlike maximum drawdown which captures a single worst point, the Ulcer Index integrates both depth and duration of all underwater periods — a UI below 5% indicates drawdowns are shallow, brief, and recover quickly.
Sample Adequacy 94
EXCELLENT — 1048 trades over 6.7y exceeds requirements
1048 trades over 6.7 years exceeds the academic minimum of 175 trades. MinTRL (minimum track record length) statistic: 111. Confidence factor applied to all other tests: 1. Sample adequacy is the foundational test — a backtest with insufficient trades cannot produce statistically valid conclusions regardless of how impressive the individual metrics appear.
Return Autocorrelation 100
Returns are independent (AC: 0.033)
Lag-1 autocorrelation of 0.033 (lag-2: 0.022) — no meaningful serial dependence. Returns are effectively independent. No martingale signature or hidden clustering pattern detected. Significant autocorrelation can indicate position-sizing escalation or regime-dependent behaviour that inflates backtest results.
MC DD Stability 94
EXCELLENT — Highly stable under randomization
Under 1,000 permutation shuffles of the exact trade sequence, the 95th-percentile maximum drawdown reaches 18.4% — a 1.4× expansion from the 13.7% historical figure. 99th percentile: 22.1%. A ratio below 2.0× confirms the strategy does not rely on a particularly favourable trade ordering. This test measures whether the backtest drawdown is structurally representative or a statistical artefact of a lucky sequence of trades.
Consecutive Loss 72
FAIR — Healthy adversity handling
Maximum consecutive losing streak of 5 trades against a statistically expected maximum of 7.4 (ratio 0.67×). Loss clustering ratio of 0.94 — losses are not grouping more frequently than random distribution predicts. Worst streak required approximately 5 average wins to fully recover (damage ratio 9×). This test checks four dimensions: observed vs expected streak length (30%), loss clustering (25%), worst streak damage (25%), and recovery speed (20%).
Cliff Ratio 92
EXCELLENT — Healthy risk profile
95th-percentile loss of $438.94 is 2.77× the average win of $158.61 — a healthy ratio indicating tail losses are not catastrophically larger than typical wins. Average loss: $180.08. Single largest loss ($773.52) is 1.76× above the P95 level — no structural outlier. This test uses the 95th-percentile loss rather than the single largest loss as the primary metric, making the score more robust to one-off broker anomalies while still flagging structural outliers separately.
MC Robustness 92
HIGHLY ROBUST — Results hold under all simulated conditions
Block-bootstrap Monte Carlo (2,000 simulations, block size 15 preserving serial structure, AC lag-1: 0.053) produces a survival rate of 100.0% across all simulations. Coefficient of variation: 0.175. MC DD envelope — P50: 13.3%, P95: 26.6%. No position-scaling pattern detected — the strategy applies approximately uniform lot sizing regardless of recent outcomes. Block bootstrap preserves the serial correlation structure of returns (unlike naive IID resampling), producing more realistic stress scenarios.
DD Endurance 68
FAIR — MANAGEABLE (2.0x penance, 72% underwater)
Median penance ratio of 2.04× is near the theoretical IID expectation of 3.0× (Bailey & López de Prado, 2014). A ratio below 1.0 means recovery consistently takes less time than the drawdown formation period — a strong signal of genuine edge. Time spent underwater: 72.4%. Longest DD episode: 204d 2h 41m (8.4% of backtest). Longest recovery: 127d 2h 4m. 81 episodes detected. Scored on four components: penance ratio (35%), longest DD as % of backtest (25%), % time underwater (25%), and recovery consistency CV (15%).
Execution Cost Sensitivity 73
FAIR — Edge sensitive to execution costs
Under a 10% uniform execution degradation scenario (wins reduced 10%, losses increased 10%), per-trade expectancy retains 0.53× of its backtest level. Original expectancy: $33.54 → degraded: $17.64 (47.4% impact). Strategy remains profitable under this stress test. At 0.195R base expectancy, broker execution quality is material to profitability at this sensitivity level.
Holding Time 88
GOOD — Winners held 1.1x longer than losers
Losers are held 0.91× longer than winners on average (winners: 7.6h, losers: 6.9h). Hold time ratio is within acceptable bounds. Discipline tier: GOOD. Median ratio: 0.61×. At the current 0.195R expectancy, this does not materially impact performance.
Edge Quality 66
FAIR — Solid edge detected
Expectancy of 0.195R per trade reflects a genuine but not exceptional edge. Win rate of 63.5% operates 10.4 percentage points above the mathematical breakeven of 53.2%. Largest win is 5.35× the average win — some concentration in large outlier wins. Edge quality is scored on four dimensions: expectancy (35%), repeatability (30%), win rate margin (15%), and execution decay (20%).
Expected Shortfall 74
FAIR — Moderate tail risk present (ES ratio: 2.4x avg loss)
CVaR (95%) measures 2.38× the average loss — within acceptable range. The worst 51 trades (5% of sample) average $428.99 against a $180.08 mean loss. CVaR 99%: 3.34× average loss. Tail risk level: MODERATE. This elevation is partially structural: with a 0.88× RR ratio, the absolute average loss is modest, making tail events appear proportionally larger in ratio terms. Active monitoring of worst-case trade magnitude under live conditions is advisable.