Statistical arbitrage

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Statistical arbitrage, as opposed to (deterministic) arbitrage, is related to the statistical mispricing of one or more assets based on the expected value of these assets. For example, consider a game in which one flips a coin and collects $1 on heads or pays $0.50 on tails. In any single flip it is uncertain if one will win or lose money. However, in the statistical sense, there is an expected value of $1x50% - $0.50x50% = $0.25 for each flip. According to the law of large numbers, the mean return on actual flips will approach this expected value as the number of flips increases. This is precisely the way in which a gambling casino makes a profit. In other words, Statistical Arbitrage conjecture statistical mispricings or price relationships that are true in expectation -- in other words, in the long run when repeating a Trading Strategy.

Trading Strategy

As a trading strategy, Statistical Arbitrage, or StatArb, is a heavily quantitative and computational approach to equity trading. It describes a variety of automated trading systems which commonly make use of data mining, statistical methods and artificial intelligence techniques. A popular strategy is pairs trade, in which stocks are put into pairs by fundamental or market-based similarities. One stock in the pair is bought long, the other is sold short. This hedges risk from whole-market movements. Stephen N. P. Smith is one of the founders of this approach.

Statistical arbitrage has become a major force at both hedge funds and investment banks. Many bank proprietary operations now center to varying degrees around statistical arbitrage trading. Some of the leading statistical arbitrage hedge funds are: Renaissance Technologies, D.E. Shaw and Citadel Investment Group. In the bank space, some of the leading stat arb desks include: Goldman Sachs (global), Deutsche Bank (London), TD Securities (Chicago) and Morgan Stanley (New York). Some major French banks such as Societe Generale or BNP Paribas, formerly very successful in Europe are now trying to gain new market shares in the US.

References

External links

[Open-source implementations of many statarb strategies, in PHP code]

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