Mind of Az • Omni-Dimensional Stress Matrix
PROD-AUDIT v1.0 MPS ACCELERATED 1987–2024 (37 YEARS)Quantitative Risk Engine (Rp) • 5-Dimensional Adversarial Stress Audit across 13 Historical Liquidity Fractures
37-Year Omni-Dimensional Stress Matrix [13 historical liquidity fractures tested from 1987 to 2024]
Popperian Falsification Protocol: Built deliberately to break, stress-test, and invalidate quantitative signals prior to live capital deployment.
Exhaustive replay across 13 distinct historical liquidity shocks from 1987 Black Monday through the 2023 banking crisis.
PFI = 0.016 (Hurdle < 0.80), proving that strategy parameters reside in broad, resilient stability basins rather than overfitted peaks.
Simulated execution latency decay with $$t_{1/2} = 48.5\text{ ms}$$; confirms alpha retains profitability even with high queue latency.
Extreme Value Theory tail models assert 12.17% VaR and 17.96% CVaR under catastrophic market dislocations.
Requires a 1.5x simultaneous historical volatility and liquidity shock to breach defined institutional risk limits.
Dimension 1: Total Return Performance Matrix (13 Crises)
Dimension 1: Max Drawdown Mitigation (Lower is Better)
Dimension 3: Execution Latency Decay & Half-Life Curve
Dimension 2: Market Impact Feedback (Self-Inflicted Slippage)
Orders saturate order book depth, forcing spreads wider: s → s × (1 + 3.0 × Q/K). This pushes Microstructure Pressure P upward, forcing non-linear microstructure saturation into rapid decay and collapsing realized alpha mid-execution.
Dynamically dampens allocation by (1 − (P/K)²) × √Depth. When liquidity is tight, size is throttled before order book saturation occurs, cutting market impact friction by over 78%.
13 Historical Crises Stress-Test Performance Table
Comprehensive out-of-sample stress test results spanning all major liquidity fractures (1987 to 2024)
| Crisis Regime | Epoch | B&H Ret (DD) | Rp Static | Rp Kalman | Rp Markov | Alpha Spread | Drawdown Shield |
|---|---|---|---|---|---|---|---|
|
1987 Black Monday
Portfolio insurance cascade: -22.6% single-day gap shock, catastrophic liquidity collapse.
|
1987 | -0.85% (-33.8%) | -7.62% (-33.8%) | -7.62% | -7.62% | -6.77% | +0.0% |
|
1998 LTCM Russian Default
Cross-asset contagion, basis trade blowup, systemic credit spread widening.
|
1998 | -27.65% (-55.3%) | -21.29% (-49.5%) | -19.87% | -21.29% | +6.36% | +5.7% |
|
2000 DotCom Collapse
Prolonged valuation deflation, persistent negative drift, multi-year liquidity desertion.
|
2000-2002 | -45.35% (-61.6%) | -32.04% (-57.5%) | -32.04% | -32.04% | +13.31% | +4.1% |
|
2007 Quant Quake
Crowded statistical arbitrage multi-factor unwind and cascading deleveraging.
|
2007 | -17.90% (-25.1%) | -4.34% (-13.5%) | -4.34% | -3.98% | +13.56% | +11.6% |
|
2008 GFC Lehman Crash
Systemic order book freeze: carrying capacity K collapsed, spreads expanded to emergency levels.
|
2008 | -74.88% (-90.3%) | -56.65% (-82.2%) | -56.65% | -56.65% | +18.23% | +8.2% |
|
2010 Flash Crash
High-velocity acceleration singularity followed by instantaneous algorithmic rebound.
|
2010 | -5.42% (-11.8%) | -10.25% (-15.0%) | -9.76% | -9.71% | -4.83% | +-3.2% |
|
2011 Euro Sovereign Downgrade
US sovereign rating downgrade, European sovereign debt contagion, persistent vol spikes.
|
2011 | -66.27% (-66.3%) | -62.91% (-62.9%) | -62.91% | -62.91% | +3.36% | +3.4% |
|
2015 Swiss Peg RMB Shock
Discontinuous gap risk, peg removal, unhedged foreign exchange liquidation cascade.
|
2015 | -22.37% (-35.5%) | -9.64% (-21.7%) | -8.45% | -9.64% | +12.73% | +13.8% |
|
2018 Volmageddon
Inverse-VIX product collapse, short-volatility blowup, instantaneous convexity cascade.
|
2018 | +4.66% (-18.9%) | +4.15% (-12.3%) | +4.15% | +6.40% | -0.51% | +6.6% |
|
2020 COVID Fracture And V Rebound
Rapid 35% liquidity freeze followed by structural stimulus-fueled harmonic resonance rally.
|
2020 | -22.33% (-54.1%) | -7.14% (-43.5%) | -6.56% | -7.14% | +15.19% | +10.6% |
|
2022 Inflation Rate Shock
Continuous downward yield pressure, tight carrying capacity, duration compression.
|
2022 | -36.12% (-39.8%) | -31.72% (-35.8%) | -32.28% | -31.72% | +4.40% | +4.0% |
|
2023 SVB Regional Bank Shock
Sudden digital deposit flight, regional bank credit shock, rapid policy backstop.
|
2023 | -1.21% (-33.0%) | +14.03% (-19.9%) | +14.03% | +14.03% | +15.24% | +13.1% |
|
2024 Yen Carry Unwind
Foreign exchange carry trade unwind, Nikkei -12.4% crash, cross-market algorithmic deleveraging.
|
2024 | +19.27% (-20.9%) | +18.41% (-20.9%) | +18.41% | +18.41% | -0.86% | +0.0% |