Operator's Manual

What it is

Long the leader, short the laggard, in the same sector. The market's moves hit both legs and cancel out; what is left is the gap between two businesses. Crash or melt-up, you are exposed only to the spread.

Every pair has a page. trademath.com/pairs lists the true-peer pairs, each name against its sector fund and each sector against the market, and any two names in the universe render at /pairs/LONG-SHORT. The page draws the spread at the desk's sizing with the market cancelled, both legs' Alpha on one axis, where today's spread sits in its own 120-session path (stretch), the equal-risk ratio and net β, the desk's status for the pair and the house book's closed trades in it, with a Track button that puts it in your tracker. The compare chart on the desk links to it ("pair page ↗"). Each pair page also says, in words, whether the spread has tended to close its gaps or to drift, counts the last times the two sat this far apart and how many of those closed within ten sessions, and names the hand-off when one leg is a fresh riser and the other a stale leader.

The Hedge Ideas board scans every sector for a strong leader and a weak laggard scored far apart, and requires both legs to be early in their moves: a stretched leader or a washed-out laggard disqualifies the pair however wide the gap. Δ is the score gap. Each card shows the sector, both Alphas, each leg's extension, and the equal-risk sizing; click it and the whole thesis loads, leader on the chart, laggard in compare, spread lane underneath.

Ideas, not desk trades. The board’s pairs are ideas: the ranking’s view of who leads and who lags in each sector. Worth tracking, worth charting, and since the Bernoulli generation never on the desk's list and never in the house book. The leader-vs-laggard pair was retired as a desk shape because its short leg is the problem. In a trending tape laggards get bought in rotations and the short leg eats the long leg’s edge (the four-way hedge test below); in the other tapes it tested marginal next to the shapes that replaced it. The desk’s hedged shapes are the hedged short (a weak name against its own sector fund), the cycle pair (a fresh riser against a stale leader in the same sector) and the dislocation bounce, each offered only in the tapes where it tested positive. That is why a long trending stretch can show nothing but plain longs; the line under the list names what is not offered. Track an idea and the tracker grades it by the general findings; the house does not take it. The Daily Pulse lists the desk’s trades, not the board’s ideas.

Finding a pair: the board, the Pairs tab and the pair page

The board at trademath.com/pairs lists every pair the desk follows: every true-peer pair, every name against its sector fund, every sector against the market, with the four things a pairs trader filters on. Each row says what it is and draws it: the pair set long the stronger leg, a mark for ◆ true peers, then every read under its own label (Alpha for each leg and the gap, stretch, closes, net β, the last 20 sessions), and two charts under them: both legs' Alpha over 120 sessions, and the spread over the same sessions with its ordinary middle half shaded and today's dot. Pairs that close their gaps are listed first, the most stretched on top; a spread that only drifts is a trend and sits last (the sort box has the plain most-stretched order too). ? How to read a row opens the anatomy of a row. Stretch is where today's spread sits inside its own last 120 sessions, 0 to 100, at equal daily risk: the top and bottom quarters are the stretched ones. Closes or drifts says whether that spread has come back when it moved away or trended on; a pair is a bet that a gap closes, and a spread that drifts is a trend in a pair's clothes. Net β is the market left over after the two legs cancel, green within a quarter of the market's size. The Alpha gap is the distance between the legs' scores. A row flags a leg that is on the desk's list today (three sessions behind for a free account, the list's own rule). Open any row for the pair's page, or chart ▸ to draw it on the desk's Pairs tab; star a pair to watch it: it joins your watch list beside your names, and sits on top here and on the desk's Pairs tab.

Three places, one pair. Find it on the board; chart it on the desk's Pairs tab, live, beside your tracker; read and size it on the pair's own page, where the reads are in words. Each of the three shows the same strip at its top and links the other two, and the desk's Explore menu (the globe) has the board, the Universe and the Daily Pulse.

The Pairs tab on the desk, between Sectors and Stocks, is where a pair is read on the desk itself: the board on the left with pills for the same filters, one pair on the right. At the top it says where you and the desk stand: whether the pair or either leg is on today's list and as what, whether you are tracking it, whether you watch it. Then three charts over the same 120 sessions: each leg against the market, with its price and change, the gap between them shaded (the pair is that gap); both legs' Alpha on one axis with the 60 and 40 run lines; and the spread itself with the house's trades shaded in. The reads in words sit above the charts. Any stock or sector chart hands its two names into the tab ("Pairs ▸"), so a comparison you have drawn becomes a pair you can read; "Reverse symbols" flips the legs in place. Without an account the tab shows a sample: a handful of pairs built from the names open to everyone, the ones whose spread has lately gone the long leg's way first. A free account opens every pair; each pair's own page is public either way.

The pair page adds the reads a single pair deserves. Past stretches: the last times these two sat at least this far from their one-year average, and how many of those closed half the gap within ten sessions, a count from the pair's own history, shown only when the spread is stretched now. The hand-off: when both legs are stocks, whether one is a fresh riser and the other a stale leader, the state a cycle pair starts from, and whether the leader's lead is rolling over. Then sizing for your account, the house's trades in this pair with their results, a Track button and the related pairs.

Pair alerts (Pro, with alerts on): the evening a pair you watch stretches into the top or bottom tenth of its range, comes back to the middle, or has a leg cross 60 or 40, one email lists it with a link to the page. A reading, not a trade.

The sector pair

From 2.5 the desk lists a pair made of two sector funds, and only in a dislocation: long the sector whose own tape is Trending, short the sector whose own tape is a Grind or a Dislocation, dollar for dollar, two at most, ranked by how far the first has outrun the second over the last quarter. Each sector fund is read by the same four-state tape as the index, so the trade is a bet that two sectors disagree and will go on disagreeing for a while. Its exit is the end of the disagreement: out the close either sector's tape leaves its state, or on day 21. Tested: the exit is the edge. Held while the tapes disagree, the shape averaged +4.5% a trade since 2019 and +3.5% since 2008, with the three replayed dislocations (2018, 2020, 2022) each better for it and no other year changed; held to the cap regardless, it lost. Ninety-three trades across three episodes, with energy one leg in most of them: a small sample, said plainly, and the first rule the desk's scorecard has passed.

Why pairs, and why not in an up-tape

In testing, wider score gaps preceded larger forward spreads, and unlike single-name signals the edge persisted over multi-week horizons, because market drift is out of the equation. Freshness matters: pairs with both legs early in their moves carried by far the strongest forward spread, while pairs built from two exhausted moves showed none.

The one place the pair fails is a trending tape, and the reason is the short leg. We hedged the same fresh-leader entry four ways, with nothing, the index, its sector, and a laggard stock. Hedging with the index or the sector kept the run's number positive in every tape but a dislocation; hedging with a laggard turned it negative in an up-tape, because laggards get bought in rotations. So the trade line quotes runs plain with an index or sector hedge as a switch, and brings the laggard pair back in flat and grinding tapes, where selling the weak name pays.

Reading the spread lane

Bars are the spread's journey: the leader's relative line minus the laggard's, measured from the chart's six-month start at every zoom, so a day's value never changes when you switch 1M/3M/6M. Colour carries the trend: grey when the spread is quiet, green through a Widening run, red through a Narrowing run, amber at transition moments: a brief undecided hand-off between opposite runs, and the third straight Narrowing day, where the tested exit fires. Each coloured stretch opens with its marker (▲ Widening, ▼ Narrowing, ◆ transition), and a run needs two consecutive days to earn its colour with one-day gaps bridged, so single-day flickers stay grey.

A day can look like narrowing before the lane calls it. The state is a trend test, the spread's slope over the last two weeks against its own noise, and right after a strong Widening run the first down days cannot pull that slope through the band, so they read amber, undecided, until it crosses. That lag is the same rule the exit was tested with; it trades a few days of give-back for not being shaken out by one-day wobbles.

The number in parentheses is the current spread; it re-reads as you hover. Both legs' earnings sit at the lane's floor: an amber E for the focus leg, a purple E for the compare leg: because the pair owns its whole calendar risk.

Track the pair and the lane keeps your score. A dotted line marks your entry level, bars above it mean the trade is paying, and the readout switches to percentage points since entry. Your holding is a band whose colour is the verdict (green paying, red losing, amber sideways), from your entry to today, stepping a shade brighter through the tested payoff window, whose edges wear chevrons: > opens it at day 10, < closes it at day 21. When the tested exit first fires, a red dashed marker shows the day. If you tracked the pair with the symbols reversed from the name you are viewing, the lane says so and signs the readout as your trade.

The spread's own trend, Widening, Flattening, or Narrowing, is judged from its recent path against its own noise. In our testing, pairs entered while the spread was still widening clearly outperformed those already flattening, and pairs entered against a narrowing spread lost on average. The same word appears on each board card.

On the right: the hedge readout, net β (the leftover market exposure at the shown sizing, green near zero), the dollar sizing, and the verdict. The net β freezes into the tracker at entry; if a pair's exposure at your frozen sizing later drifts well away from what you entered with, the tracker raises a hedge drift flag with both numbers. Drift toward neutral never warns.

How to trade it

Enter when the gap is wide and the lane is still widening, the divergence and its momentum. Exit when the rule fires; gap closure is the trade ending, not a dip to add into.

Give it two weeks. The first days of a new pair did little in testing; the spread's gains concentrated in weeks two and three, and by about a month the typical spread had stopped growing and began to give back. An expectation, not a schedule, individual pairs pay early, late, or not at all. The lane, not the calendar, has the final word.

The exit that tested best: three straight Narrowing days, or day 21, whichever comes first. It fires on winners too, and that is its best case, the tracker says exit with the win when you are ahead. We made sixteen exits compete on the same replayed trades: caps, two Narrowing days, hard stops, trailing give-backs, profit takes, an exit on the legs' own Alpha. Every one landed within a fifth of a percent of this rule. Exits change the shape of the outcome, not the mean, the leg exit halves the worst case at a third of the holding time and is a candidate for grinding tapes once a third such tape is on record. Price stop-losses tested worse than no rule at all, because a spread breathes with noise and a stop locks the breathing in. Leaving the moment a pair drops off the board was far too early; treat that as a review prompt.

Sizing, one rule everywhere: 1 : 0.82 means $1 long for every $0.82 short, scaled so both legs swing the same dollars on a typical day. The quieter stock takes the bigger side; the P&L then tracks the spread, not whichever leg is noisier. Your trade line and the Size-it card turn that into shares for your account.

How pairs enter and leave the board

Ideas enter hard and stay patient. A pair joins on strict conditions, a genuine leader against a genuine laggard, both fresh, and once seated it is not evicted by a single red day. Each card shows its tenure (day 4); a pair inside that patience band wears a holding tag with a dashed border.

Tested, not taste: pairs retained through a wobble went on to outperform fresh entries over the following weeks. So leaving the board means something, the thesis died: the laggard recovered, the leader broke, or a leg went stale. Even then, treat the departure as a review prompt; the exit remains the three-day Narrowing run on the spread itself.

The bell names the reason each time: laggard recovering, leader faded, short leg washed out (bounce territory, where the short stops paying), leader stretched, gap narrowed, and rarely laggard left the universe. On big days several departures collapse into one bell event.

Timing matters too. After a sector's violent surge, its higher-beta names tend to give part of it back over roughly three weeks; after a violent washout they tend to rebound over roughly two. The flags name the name, ⚡ COIN headwind ~3wk: sector surged, and whether that helps or hurts depends on which leg it is. Information, not a gate.

Split sectors and compressed sectors

A pair needs raw material: real winners and real losers. Sometimes a sector provides both, scores stretched wide, a sector at war with itself. Sometimes the whole sector huddles around neutral and the "leader" is barely distinguishable from the middle.

The pairs that struggled most in our testing shared a profile: a gap that barely qualified, drawn from a compressed sector. The same modest gap inside a split sector held up better. Early evidence, one stretch of history, so the cards do not gate on it; the Market tab's sector cards carry it as the split and quiet tags. When a sector is quiet, ask more of the gap.

The Relative ticket: a name's own basket

Every stock's ticket flips from Directional to Relative: instead of "buy it or don't", the name is expressed against its own sector, long a strong name versus one or two genuinely weaker same-sector peers, or the sector fund when no peer qualifies; shorts mirrored. The hedge legs follow the board's discipline: a washed-out name never serves as a short leg, a stretched name never as a long hedge, and the ticket prefers peers that actually move with the anchor so the basket behaves like one spread.

Sizing is the same rule: each leg scaled so both sides swing similar dollars on a typical day, shown as a dollar template with the main leg at $1,000. Use any multiple and divide by price for shares.

The hedge is insurance in the strict sense. Against the plain directional long across twenty years of tapes: in rising tapes the hedge costs, a strong name's sector and peers are strong too, and shorting them subtracts real drift. In flat tapes it costs a little. When the market breaks the ranking flips hard: in the 2020 crash the hedged forms made money while unhedged leaders took their worst losses, and in the 2022 bear hedges roughly broke even while plain longs bled. Everywhere, hedged worst cases were far smaller. That is why the trade line quotes a long plain and offers the index or sector hedge as a switch with its own tested number: you choose the premium with the number in front of you.

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