Pairs Trading And Statistical Arbitrage
A directional trade has one way to lose. A pairs trade has a way to lose on both legs at once, exactly when the relationship stops holding.
Pairs trading takes a long position in one instrument and a short position in a related one, aiming to profit from the gap between them narrowing rather than from market direction. If the two converge, both legs contribute. If they rise together the legs cancel, which is the market-neutral property. If the divergence widens, both legs lose at the same time.
What to remember
- Market neutral removes directional risk, not risk. Relationship risk, double execution and double financing all remain.
- The losing case hits both legs simultaneously, which is the outcome that descriptions of this strategy tend to skip.
- Correlation is not enough. The property the strategy needs is a spread with a stable average to return to, checked across several windows.
- Costs are doubled on entry, exit, commission and overnight financing, against a target that may only be a couple of percent.
Lesson 16 of 24 in Trading strategies
A spread trade written out as two tickets
Pairs trading buys one instrument and sells a related one at the same time, aiming to profit from the gap between them narrowing rather than from the market going up or down. It is worth seeing the arithmetic before the theory, because the theory makes it sound cleaner than it is.
Two correlated instruments, A and B, have historically moved together. Over three weeks A rises 4% while B rises 1%, a divergence of three percentage points against a historical average of well under one. A pairs trader sells A and buys B in sizes chosen so both legs carry the same monetary exposure, then waits for the gap to close.
- Convergence to the average: the gap narrows to 0.8 points. The short leg gains, the long leg gains, and the profit is the change in the spread rather than in either instrument.
- Both rise together: A gains another 5% and B gains 5%. The legs cancel. The position is flat, which is the market-neutral property working as intended.
- Divergence widens: A gains 6% while B falls 1%. Both legs now lose, which is the case that people who describe this as low risk tend to skip.
That third line is the whole risk of the strategy. A single directional trade has one way to lose. A pairs trade has a way to lose on both legs simultaneously, and it happens precisely when the relationship you relied on stops holding.
What market neutral does and does not remove
Market neutral means the position has little exposure to the overall direction of the market. It does not mean low risk, and the distinction gets blurred constantly.
What it removes is broad directional risk, so a general sell-off affects both legs roughly equally. What it leaves entirely intact is relationship risk, which is the risk that the specific link between these two instruments changes. It also introduces execution risk on two positions instead of one, and financing costs on both.
When the relationship simply ends
Correlation is a description of the past, and it is measured over a chosen window. Two instruments that moved together for two years can stop for reasons that have nothing to do with statistics:
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Pairs Trading And Statistical Arbitrage: questions
What is a market neutral trading strategy?
How do you choose pairs for pairs trading?
Is pairs trading lower risk than directional trading?
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