Statistical Arbitrage

A quantitative strategy that exploits temporary statistical pricing anomalies between related securities.

Quantitative Finance

Definition

Statistical arbitrage (stat arb) identifies pairs or baskets of related securities that have temporarily diverged from their historical pricing relationship. When the spread exceeds a statistical threshold, the strategy goes long the relatively cheap security and short the expensive one, profiting when the relationship reverts. Modern stat arb uses factor models, machine learning, and high-frequency data.

lightbulb Example

Two oil companies historically trade with a 0.95 correlation. Company A drops 5% on no news while B is flat—the spread widens to 2.5 standard deviations. The strategy buys A and shorts B, profiting when the spread reverts to normal within days.

verified_user Key Points

  • Exploits temporary statistical mispricing
  • Mean-reversion based—buys cheap, shorts expensive
  • Requires large position sizing for small per-trade profits
  • Model risk and regime changes are key risks

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