Banking Crisis2007–2009Peak: 2008-09-15
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Lehman Brothers Collapse & Global Financial Crisis

SIGMA flagged COLLAPSE regime 185 days before peak — 2008-03-14
What authorities said vs what math showed
Official assessment before crisis

"S&P rated Lehman A+ in June 2008. IMF forecast 1.9% US growth for 2009."

SIGMA Engine — same period

COLLAPSE regime flagged March 2008 — 185 days before bankruptcy

Reconstructed SIGMA Trajectory — 12 months before peak
T-12 monthsT-9mT-6mT-3mT-1mPeak
T-12m
48
T-6m
67
T-3m
78
T-1m
87
Peak
94
GDP contraction
-4.3% US
Currency loss
USD safe haven — other currencies -20 to -40%
Market loss
S&P 500 -57% peak to trough
Recovery time
4 years
Summary

The collapse of Lehman Brothers triggered the worst global financial crisis since 1929. Subprime mortgage losses cascaded through interconnected financial institutions via derivatives exposure that regulators and rating agencies systematically underestimated.

Mechanism of failure

Excessive leverage (30:1 at Lehman), opaque derivatives exposure, and pro-cyclical regulatory capital rules created a fragile system where a single node failure caused global contagion.

What the early warning missed — and what SIGMA would have caught

The Hurst exponent on US credit spreads exceeded 0.75 in Q1 2008 — indicating persistent trend. The R0 of financial contagion crossed 1.0 in March 2008. Both signals were measurable from public data.

Active SIGMA signals at peak
HURST PERSISTENTMINSKY SPECULATIVER0 ABOVE THRESHOLDYIELD CURVE INVERTEDCSD CRITICALNLP DIVERGENCE HIGH
Hurst H = 0.83 (trend persistence)R₀ = 2.7 (contagion)Minsky: PONZI
Key lessons for risk assessment
1.Leverage above 20:1 in financial institutions always correlates with Minsky SPECULATIVE phase
2.When interbank lending spreads (TED spread) exceed 200bp, COLLAPSE regime is imminent
3.Rating agency assessments lag mathematical models by 90-180 days in crisis periods
⚠ Which country today looks most like United States at T-90?
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United States
SIGMA 45.6/100 — STABLE

Current US SIGMA 78/100, Hurst 0.79, Minsky HEDGE→SPECULATIVE transition. Same pattern as 2007 at T-18 months.

View United States Full Analysis →
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