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Cross-sectional momentum

Rank markets and hold the strongest · 8 min

ProGoal: Rank markets and hold the strongestBefore this: Time-series momentumFurther reading: Carver, Systematic Trading
Six months of five generated markets
-28%3%34%0129
  • Market A
  • Market B
  • Market C
  • Market D
  • Market E

Ranked by return over the window, from best to worst.

Predict first

All eight markets in a portfolio fall 20% in a shared crash. A long-only rule that holds the two best-ranked markets…

Cross-sectional momentum compares markets with each other. Every month (or week), rank all markets by their return over the lookback and hold the top few; a long-short version also shorts the bottom few. It asks "which is strongest?", not "is it going up?".

rank by Cₜ ÷ Cₜ₋ₗ − 1 · hold the top k equally · rebalance every m days

Because it is relative, a long-only version still falls in a shared selloff. Rotations are frequent, so turnover and costs matter. And when many traders hold the same winners, the reversal after a crash can be violent, as last year's losers rebound fastest: the momentum crash. Comparing against an equal-weight portfolio of the same markets, not against cash, is the fair test.

Try it: rank, hold the top, rebalance
0.51×1.61×2.72×01755
  • Top-ranked markets
  • All eight, equal weight
  • Crisis days (shared selloff)
Sharpe, momentum0.70
Sharpe, equal weight-0.61
Max drawdown, momentum-33.2%
Max drawdown, equal-58.0%
Turnover a year6.5×
Worst crisis day-10.8%

Long only: a cross-sectional rule still holds markets in a selloff, because it ranks them against each other, not against zero.

Generated markets, not real data. They show how a rule depends on the market it meets; they do not predict how real markets behave.

Worked calculation

Ranking five markets

6-month returns
A +12%, B −4%, C +20%, D +3%, E −10%
Ranked
C, A, D, B, E
Long-only top 2
50% C, 50% A
Long-short top/bottom 1
long C, short E
Next month C, D lead
sell A, buy D
Check yourself
3 questions

Why can momentum portfolios suffer sharp losses right after a market crash?

3-month returns: P +8%, Q +15%, R −2%, S +11%, T +1%. Which two does a top-2 rule hold?

Last month the rule held C and A. This month the ranking is C, D, A, B, E. What trades does a top-2 rule make?

Missed questions come back for review after one day, then three, then a week.

Practice

A market closed at 50 twelve months ago and at 55 today. What is its 12-month return (in %)? A time-series momentum rule holds the sign of that return.

Hint: Return = today ÷ then − 1.

More in Drills →

Closing round

Three years of a fresh generated world are on screen; the next two years do not exist yet. Tune the rule on what you can see, commit to two predictions, then generate the future.

0.77×0.94×1.10×0625
  • Your rule so far
Sharpe before split-0.29
Return before split-14.5%
Max drawdown before-30.6%

Over the next two years, after costs, this rule will…

Will the deepest drawdown after the split be worse than before it?

Generated markets, not real data. They show how a rule depends on the market it meets; they do not predict how real markets behave.