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Exposure netting
Exposure netting
Definition
Exposure netting reduces a book of positions to its true economic exposures: longs against shorts, options against stock (delta), futures against cash, all expressed in common units (beta-adjusted dollars, delta-dollars, DV01) so that offsetting risks cancel and residual risks stand exposed. A book that is 100% long and 80% short is not “180% invested” — its NET is 20% long and its GROSS is 180%, and the two numbers describe different risks: net is direction, gross is leverage, financing, and single-name accident surface.
How it works / structure
- The unit conversions (engine-executable): equities to
BETA-ADJUSTED dollars (a $100k position at beta 1.5 nets
as $150k of index exposure — Sharpe’s CAPM beta is the
common factor unit); options to DELTA-dollars
(
port-portfolio-greekssupplies the greeks; parity makes synthetics net exactly —opt-put-call-parity); rates to DV01 (instrument-treasury-futures); futures at notional (instrument-equity-index-futureshedges net against cash books). - The report structure: net and gross by book, by
sector/factor driver (feeding
port-correlation-budgets), and by scenario (netting that holds in first-order delta can fail in convexity — a delta-neutral book with short gamma is flat until it moves,risk-scenario-analysisfull repricing is the audit). - Margin recognition: portfolio margining (FINRA 4210
risk-based methodology) recognizes true netting — hedged
books margin on net risk, not gross positions
(
acct-margin-rulesfacts). - Basis honesty: netting across related-but-different
instruments (long stock vs short index future) leaves
BASIS exposure — the net is not zero, it is the spread
(
strategy-pairs-tradingis deliberate basis; accidental basis is unbudgeted risk).
When it applies
Every book with more than one instrument type (options books are unreadable without delta netting); hedging verification (a “hedged” book is a netting claim — the report grades it); leverage accounting (gross exposure is the honest leverage number for financing and accident math); factor budgeting (net-by-driver feeds the correlation budgets).
Risk profile & failure modes
- Net-only blindness: a 20% net book at 300% gross carries enormous single-name, borrow, and financing risk the net number hides — both numbers, always.
- Static-beta drift: betas estimated in calm regimes shift in stress (high-beta compression, correlation convergence) — beta-netted “market neutral” books have documented directional stress behavior.
- Convexity leaks: first-order netting with second-order exposure (short-gamma “neutral” books) — the 2018-style failure; scenario repricing is the required audit.
- Cross-instrument fiction: netting a single stock against an index hedge treats idiosyncratic risk as hedged; it is not — the residual is the whole single-name distribution.
Evidence & limits
Beta as the netting unit is CAPM-standard (Sharpe 1964) with its documented estimation instabilities; portfolio-margin recognition of netting is FINRA-regulated methodology; parity netting of synthetics is arbitrage mathematics. Netting REPORTS are accounting — exact; netting ASSUMPTIONS (stable betas, first-order sufficiency) are the risk, and the entry’s audits target them.
Falsifiable-thesis examples
Illustrations only, not signals:
- “This book’s beta-netted market exposure will keep its daily correlation to the index below 0.3 this quarter (neutrality audit)” — falsified by the realized correlation.
- “Scenario repricing at ±5% moves will stay within 2× the delta-predicted P&L (convexity-leak audit)” — falsified by the scenario table.
Cross-references
- The greeks layer:
port-portfolio-greeks; the parity identities:opt-put-call-parity - The budgets it feeds:
port-correlation-budgets,risk-correlation-exposure - Deliberate basis:
strategy-pairs-trading; margin recognition:acct-margin-rules - The audit:
risk-scenario-analysis
Sources
- Sharpe, W. (1964), Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk — Journal of Finance 19(3), 425-442
- SEC/FINRA — Portfolio margining (risk-based margin methodology)
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