{
  "$schema": "https://hedgefund.wiki/api/schema.json#/definitions/Term",
  "endpoint": "https://hedgefund.wiki/api/risk-management.json",
  "version": "2026.05.0",
  "description": "Risk management concepts, methodologies, and frameworks used by institutional hedge funds.",
  "concepts": [
    {
      "id": "var-family",
      "name": "Value at Risk Family",
      "subconcepts": [
        {
          "id": "parametric-var",
          "name": "Parametric (Variance-Covariance) VaR",
          "method": "Assume returns are jointly normal with known covariance Σ; VaR_α = z_α × √(w' Σ w) × NAV.",
          "pros": ["Closed-form", "Fast for large portfolios", "Clean Greeks decomposition"],
          "cons": ["Massively underestimates fat tails", "Assumes constant correlations", "Misses optionality"],
          "use_when": "Linear, well-behaved portfolios with quick recompute needs."
        },
        {
          "id": "historical-var",
          "name": "Historical Simulation VaR",
          "method": "Apply historical return distribution to current positions; read percentile of P&L distribution.",
          "pros": ["No distributional assumption", "Captures observed fat tails and correlations"],
          "cons": ["Sensitive to lookback length", "Cannot extrapolate beyond observed history", "Slow for full revaluation"],
          "use_when": "Standard institutional choice; most banks under FRTB use this."
        },
        {
          "id": "monte-carlo-var",
          "name": "Monte Carlo VaR",
          "method": "Simulate from a fitted joint distribution (often copula-based with t-marginals); revalue portfolio per scenario.",
          "pros": ["Handles non-linearity (options)", "Customizable distributions", "Captures tail dependence via copulas"],
          "cons": ["Compute-intensive", "Distribution choice and parameterization are model risk"],
          "use_when": "Option-heavy or path-dependent portfolios."
        }
      ]
    },
    {
      "id": "expected-shortfall",
      "name": "Expected Shortfall (Conditional VaR)",
      "summary": "Average loss in the worst α% of outcomes — coherent, tail-sensitive, replacing VaR under Basel FRTB.",
      "regulatory_use": "Basel III FRTB market risk capital uses ES at 97.5% level (equivalent to ~99% normal VaR).",
      "see_also": [{ "type": "term", "id": "expected-shortfall" }, { "type": "formula", "id": "expected-shortfall" }]
    },
    {
      "id": "stress-testing",
      "name": "Stress Testing",
      "summary": "Re-pricing the portfolio under hypothetical or historical shock scenarios.",
      "scenario_types": [
        {
          "id": "historical-replay",
          "scenarios": [
            "Black Monday Oct 19, 1987 (S&P -22.6% in a day)",
            "Asian Crisis Aug-Oct 1997",
            "Russia/LTCM Aug-Sep 1998",
            "Tech Crash Apr 2000 - Oct 2002",
            "Aug 2007 Quant Quake (cross-strategy stat-arb deleveraging)",
            "Lehman Sep 15, 2008 - Mar 2009",
            "Flash Crash May 6, 2010",
            "Aug 24, 2015 China devaluation flash crash",
            "Brexit Jun 23-24, 2016",
            "Volmageddon Feb 5, 2018 (XIV blowup)",
            "Q4 2018 selloff (rates + credit + equities together)",
            "March 2020 COVID dash-for-cash",
            "Jan 2021 GameStop short squeeze",
            "Mar 2022 nickel short squeeze (LME canceled trades)",
            "Sep 2022 UK gilts/LDI crisis",
            "Mar 2023 SVB / regional bank crisis",
            "Aug 5, 2024 Yen carry unwind"
          ]
        },
        {
          "id": "hypothetical",
          "scenarios": [
            "Rates +200bp parallel shift",
            "Equity -25%",
            "USD/JPY +15% (yen weakening)",
            "Oil -50%",
            "Credit spreads +200bp",
            "Vol +20 vol points (SPX IV)",
            "Repo blowout (+100bp on funding spreads)"
          ]
        },
        {
          "id": "reverse",
          "summary": "Find the smallest shock that breaches a threshold (e.g., -20% NAV)."
        }
      ],
      "regulatory_requirements": [
        "Form PF: large hedge fund advisers report stress test results quarterly.",
        "AIFMD Annex IV: regular stress reporting to home regulator.",
        "Basel FRTB SA: prescribed stress scenarios for bank prop / inventory."
      ],
      "see_also": [{ "type": "term", "id": "stress-test" }, { "type": "regulation", "id": "form-pf" }]
    },
    {
      "id": "drawdown-control",
      "name": "Drawdown Control",
      "summary": "Active reduction of leverage or risk as drawdowns deepen, to protect capital and preserve optionality to recover.",
      "techniques": [
        {
          "name": "CPPI (Constant Proportion Portfolio Insurance)",
          "method": "Risk = m × (NAV − floor); reduce risk to zero at floor.",
          "pitfall": "Procyclical — sells into selloffs; can lock at the floor in trending bear markets."
        },
        {
          "name": "Vol targeting",
          "method": "Scale exposure to target a constant ex-ante vol; reduces in vol spikes.",
          "pitfall": "Lags realized vol; can amplify deleveraging cascades."
        },
        {
          "name": "Discretionary stop-out",
          "method": "Manager triggers de-risking on -X% from peak.",
          "pitfall": "Behavioral inconsistency; difficult under stress."
        },
        {
          "name": "Pod risk leashes (multi-strat)",
          "method": "PM is cut by 50% at -3%, fired at -5/8%.",
          "pitfall": "Forces premature exits; selects for short-horizon strategies."
        }
      ]
    },
    {
      "id": "counterparty-risk",
      "name": "Counterparty Risk",
      "summary": "Risk that a trading counterparty defaults before performing on outstanding obligations.",
      "mitigation": [
        "ISDA Master + CSA with daily Variation Margin and Initial Margin (UMR phases 1-6, 2016-2022)",
        "Central clearing where mandated (Title VII; EMIR; UMR)",
        "Multi-PB structure (typically 2-4 prime brokers post-Lehman)",
        "Tri-party custody for excess collateral",
        "Daily counterparty exposure monitoring + concentration limits",
        "Settlement (PvP for FX via CLS; T+1 for US equities since May 2024)"
      ],
      "case_studies": [
        { "type": "event", "id": "lehman-collapse", "label": "Lehman Sep 2008 — UK Rule 7 freeze" },
        { "type": "event", "id": "mf-global-2011", "label": "MF Global Oct 2011 — segregated funds shortfall" },
        { "type": "event", "id": "archegos-2021", "label": "Archegos Mar 2021 — total return swap exposure" }
      ],
      "see_also": [{ "type": "term", "id": "counterparty-risk" }, { "type": "term", "id": "isda" }]
    },
    {
      "id": "liquidity-risk",
      "name": "Liquidity Risk",
      "summary": "Risk of being unable to exit at a fair price within needed timeframe; encompasses market liquidity and funding liquidity.",
      "metrics": [
        "Days-to-liquidate (e.g., at 25% of ADV) for each position",
        "Liquidity buckets: 1 day, 1 week, 1 month, 3 months, 6+ months",
        "Asset-liability liquidity matching to redemption terms",
        "Bid-ask spread and effective spread time series",
        "Amihud illiquidity (|return| / dollar volume)",
        "Funding-liquidity coverage ratio (cash + margin headroom / 30-day stressed outflow)"
      ],
      "case_studies": [
        { "type": "event", "id": "ltcm-collapse" },
        { "type": "event", "id": "march-2020-dash-for-cash" },
        { "type": "event", "id": "woodford-2019" }
      ],
      "see_also": [
        { "type": "term", "id": "liquidity-risk" },
        { "type": "term", "id": "amihud-illiquidity" },
        { "type": "term", "id": "side-pocket" }
      ]
    },
    {
      "id": "model-risk",
      "name": "Model Risk",
      "summary": "Risk of loss arising from decisions based on flawed or misapplied models.",
      "components": [
        "Specification error (wrong functional form)",
        "Estimation error (parameters fit to a regime that has shifted)",
        "Implementation bugs (off-by-one, look-ahead, survivorship bias)",
        "Misuse (using a model outside its calibrated domain)"
      ],
      "controls": [
        "Independent model validation (separate team)",
        "Champion-challenger ensembles",
        "Backtest with strict out-of-sample discipline",
        "Model inventory and tiering (SR 11-7 framework)"
      ]
    },
    {
      "id": "operational-risk",
      "name": "Operational Risk",
      "summary": "Risk from failed processes, people, systems, or external events.",
      "subcategories": ["Trade settlement failures", "Fat-finger errors", "Cyber incidents (ransomware, account takeover)", "Vendor / SaaS outages (e.g., June 2024 CrowdStrike)", "Compliance breaches (insider trading, sanctions, AML)"],
      "metrics": ["NAV restatements", "Trade error count and $ impact", "Reg breach count", "Failed-trade rate"],
      "regulatory_focus": "SEC Rule 206(4)-7 (compliance program); NYDFS Part 500 cybersecurity; SEC 2024 cyber disclosure rules."
    }
  ]
}
