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docs(book): Complete Chapter 11 with What Works/What Fails conclusion
Chapter 11: Statistical Arbitrage — Pairs Trading - Final word count: 13,831 → 18,772 (+4,941 words, +36% growth) Section 11.9 Updated: What Works / What Fails conclusion (NEW format) - Elite playbook (3 strategies that work): * Cointegration testing (not correlation): Sharpe 2.0 vs -2% * Regime detection: VIX >40 + correlation >0.80 = instant exit * Leverage discipline: 2-3x max (LTCM 25x = 98% wipeout) - Retail graveyard (4 fatal mistakes): * Correlation ≠ cointegration: Aug 2007 $150B * Ignoring regime changes: COVID PEP/KO -656% ROI * Excessive leverage: LTCM $4.6B * Sector concentration: Amaranth $6.6B (71% in energy) - Final verdict: 8-18% realistic, requires professional risk management - ROI on safety: >100,000% Chapter 11 NOW 100% COMPLETE with full disaster-driven pattern: ✅ Section 11.0: Opening disaster ($150B Aug 2007) ✅ Section 11.10: Four additional disasters ($21.7B) ✅ Section 11.11: Production system (500 lines OVSM) ✅ Section 11.12: Worked example (PEP/KO, +9% ROI) ✅ Section 11.9: "What Works / What Fails" conclusion Total disasters documented: $171.7B Prevention cost: $100K ROI: >100,000% Textbook progress: - Part IV (Chapters 15-20): 86,003 words, $10.82B - COMPLETE - Chapter 11: 18,772 words, $171.7B - COMPLETE - Total disaster-driven content: 104,775 words, $182.5B+ 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <[email protected]>
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docs/book/11_pairs_trading.md

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@@ -3867,35 +3867,125 @@ The production system (Section 11.11) prevented the exact disaster documented in
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## 11.9 Conclusion
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## 11.9 Conclusion: What Works, What Fails
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Pairs trading stands at the intersection of statistical rigor and market pragmatism. Born at Morgan Stanley in the 1980s, validated academically by Gatev et al. (2006), and stress-tested catastrophically in August 2007, the strategy has evolved from a proprietary edge into a well-understood, crowded, but still viable approach.
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### What Works: The Elite Pairs Trader Playbook
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**The core insight remains valid:** When two assets share long-run economic relationships (cointegration), temporary divergences create trading opportunities. But the path from insight to profit requires navigating a minefield of practical challenges.
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> 💰 **Renaissance earns 66% annually on stat arb while retail loses money**
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**What we've learned:**
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#### ✅ Strategy 1: Cointegration (Not Correlation)
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1. **Theory matters:** Cointegration testing separates real mean reversion from spurious correlation
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2. **Implementation matters more:** 11% gross returns become 3% net when transaction costs are realistic
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3. **Risk management matters most:** August 2007 proved that statistical relationships fail precisely when most needed
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**What elite traders do:**
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- Engle-Granger ADF test (p < 0.05)
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- Half-life validation (1-60 days)
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- Rolling cointegration checks
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The distance from academic backtest (Sharpe 2.0) to production reality (Sharpe 0.8-1.2) is measured in:
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- Transaction costs (38 bps per round-trip)
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- Regime changes (correlations break during crises)
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- Strategy crowding (more capital chasing fewer opportunities)
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- Implementation details (static vs. adaptive hedge ratios)
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**Results:** Gatev et al.: 11% annual, Sharpe 2.0 vs correlation-based: -2% annual
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Yet pairs trading endures because it offers what few strategies can: **market-neutral returns from statistical inefficiencies**, accessible to individual traders with modest capital.
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**Code:** Section 11.11
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**The August 2007 lesson** is not that pairs trading is dead—survivors like Renaissance and AQR proved it works with proper risk controls. The lesson is that **no statistical relationship is immune to failure, and survival requires defensive engineering**.
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---
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#### ✅ Strategy 2: Regime Detection + Emergency Exit
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**What elite traders do:**
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- VIX >40 = exit ALL pairs
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- Correlation >0.80 = exit ALL
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- Automated, zero hesitation
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**Results:**
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- Aug 2007: Elite -5% vs retail -25%
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- COVID: +9% vs forced liquidation -20%
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- Section 11.12: Saved $29K
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---
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#### ✅ Strategy 3: Leverage Discipline (2-3x Max)
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**What elite traders do:**
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- Base 2-3x (not 25x)
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- Dynamic: leverage ∝ 1/volatility
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**Results:**
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- LTCM 25x98% wipeout
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- Conservative 3x → survived COVID
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---
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### What Fails: The $171.7B Graveyard
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#### ❌ Mistake 1: Correlation ≠ Cointegration
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**The trap:** "0.85 correlation = good pair!"
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**Reality:** Correlation breaks during stress
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**Disaster:** Aug 2007 ($150B), COVID ($10B+)
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---
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#### ❌ Mistake 2: Ignoring Regime Changes
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**The trap:** "My pairs are market-neutral!"
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**Reality:** Correlation →1.0 during panics, "neutral" fails
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**Example:** COVID PEP/KO lost -656% ROI (Section 11.10.3)
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**Disaster:** LTCM ($4.6B), COVID ($10B+)
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---
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#### ❌ Mistake 3: Excessive Leverage
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**The trap:** "Low-risk, can use 25x leverage"
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**Reality:** 1% spread widening × 25x = 26% loss → wipeout
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**Disaster:** LTCM ($4.6B)
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---
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#### ❌ Mistake 4: Sector Over-Concentration
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**The trap:** 71% in one sector
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**Reality:** Sector event kills ALL pairs
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**Disaster:** Amaranth ($6.6B)
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---
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### Final Verdict: Pairs Trading in 2025+
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> 📊 **NOT dead—but requires professional-grade risk management**
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**The Opportunity:**
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- Realistic: 8-18% annual, Sharpe 1.2-1.8
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- System (11.11): 12-18% expected
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**The Requirements:**
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1. ✅ Cointegration testing
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2. ✅ Regime detection (VIX, correlation)
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3. ✅ Dynamic hedge ratios (Kalman)
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4. ✅ Leverage discipline (2-3x)
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5. ✅ Sector limits (30% max)
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6. ✅ Emergency exit automation
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**The Cost:** ~$50K dev + $30K-60K/year
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**The Value:** $500K-1M/year disaster prevention per $10M portfolio
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Every risk control in this chapter—position limits, stop-losses, circuit breakers, correlation monitoring—costs essentially nothing to implement but means the difference between -5% (survivors) and -65% (failures) when the next crisis arrives.
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**ROI on safety:** >100,000%
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And it will arrive. Markets have regime changes. Correlations break. Liquidity evaporates. The question is not *if* your pairs will diverge catastrophically, but *when*and whether you'll be prepared.
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**The Bottom Line:**
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- $171.7B lost vs $100K prevention cost
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- Renaissance survives with 66% returns
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- Retail fails without risk controls
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**This chapter's goal:** Give you the tools to stay off the disaster list.
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The code is OVSM (Section 11.11). The theory is proven. The disasters are documented. The prevention is automated.
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The code is OVSM. The theory is proven. The risks are known. What happens next is up to you.
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**What happens next is up to you.**
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