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E929  KILL  Below costsTested · October 2026

Sector leaders' move to 15:30 shows no reliable lead over peers

Ranking sectors by their biggest stocks' move until 15:30 and trading the sector's other stocks from close to next open earned +1.42 bp a day against a 10 bp cost, not distinguishable from zero.

equities lead-lag sector overnight closing-auction long-short

A common idea says news hits the biggest stock in a sector first and reaches its smaller peers later. An earlier test had found peers catching up in the overnight gap between close and next open. So we ranked sectors by their five largest stocks' move until 15:30, early enough to submit a closing-auction order, bought the peers of the three strongest sectors, shorted those of the three weakest, and exited at the next open. Over 722 days large-cap peers earned +1.42 bp a day (a bp is 0.01%) against a 10 bp cost, and small-cap peers +0.01 bp against 30 bp.

Trading days722Dec 2023 to Oct 2026
Large-cap peers, gross+1.42 bp/dayt-statistic 0.83 (signal-to-noise); median -1.3 bp; cost 10 bp/day
Small-cap peers, gross+0.01 bp/dayt 0.00; cost 30 bp/day
Net after cost, large caps-8.58 bp/day1.42 minus 10
01 · The idea being tested

News in a sector shows up first in its biggest, most-watched stocks and reaches the sector's smaller names with a delay.

Why people believe it

People argue that investors in less-followed stocks pay less attention and react more slowly, so a move in the sector leaders should be followed by the same direction in their peers. An earlier test of the same idea on daily data found the peers catching up between the close and the next morning's open, a gap that cannot be traded from a signal known only after the close.

Why it would persist The argument, as stated before testing

People argue that the less-followed peers get fewer analysts' updates, so the delay could last long enough to survive until the next open.

02 · How it was tested

Each day we measured how the five most heavily traded large stocks in each of 11 sectors had moved from the previous close until 15:30 New York time, relative to the S&P 500. That is 20 minutes before the deadline for closing-auction orders, so the signal is usable. We bought the other stocks of the three strongest sectors at the close, shorted those of the three weakest, and closed both sides at the next morning's opening auction. Returns are measured relative to the S&P 500 and are charged a assumed trading cost. The same test ran on large-cap peers and on small-cap peers.

Pass required

Per cell: gross mean at least 3 times cost; Newey-West t (5 lags) at least 2.5; median above 0; net above 0 in both halves; net above 0 under doubled costs; Holm-adjusted p below 0.05 over the 2 cells.

Killed if

Gross mean at or below cost.

Costs

Cell 1: 4 bp per leg on two legs plus 2 bp for borrowing the short side = 10 bp per day. Cell 2: 14 bp per leg on two legs plus 2 bp = 30 bp per day. Stress case: costs doubled.

Controls

Descriptive checks on the same days: the same overnight trade using the leaders' full-day return to the close instead of the 15:30 return (the version that cannot be traded), and the followers' return from 15:30 to the close with the 15:30 signal.

03 · What happened
Why it was rejected

Gross return was below cost in both cells (+1.42 bp against 10 bp, +0.01 bp against 30 bp), which meets the pre-set rejection criterion.

  • Large-cap peers (cell 1) earned +1.42 bp a day gross over 722 days (t 0.83, a t-statistic, is the average divided by its noise; median -1.3 bp), a net of -8.58 bp after the 10 bp cost. Net is gross minus cost.
  • The positive average does not count: a t of 0.83 is consistent with zero, the median day lost 1.3 bp before cost (11.3 bp after), and it is far below the 10 bp cost.
  • Small-cap peers (cell 2) earned +0.01 bp a day gross (t 0.00) against a 30 bp cost.
  • The first half of the period earned +1.3 bp a day and the second half +1.5 bp a day in cell 1; both are below the 10 bp cost.
  • Using the leaders' full-day return to the close, which cannot be traded because it is known only after the closing-auction deadline, the same overnight trade earned +1.1 bp (large caps) and +0.0 bp (small caps).
  • The long-short portfolio's return from 15:30 to the close on the 15:30 signal was +1.2 bp (large caps) and +0.6 bp (small caps), gross; far below the 10 and 30 bp costs of the full trade.
  • The earlier test on daily data over a longer period had found about +2.5 bp a day overnight for large-cap peers. The comparable figure in this window was +1.1 bp, a difference within this window's noise.

Gross return against cost, both cells

0 bp10 bp20 bp30 bpLarge-cap peers+1.42 bp+10 bpSmall-cap peers+0.01 bp+30 bp

Gross returnCost

Mean gross daily return of the overnight pairs trade, next to the cost of running it. Neither cell reaches its cost; the large-cap bar of +1.42 bp has a t-statistic of 0.83, so it is not separable from zero.

Chart data (bp)
Gross returnCost
Large-cap peers1.4210
Small-cap peers0.0130

Other versions of the same signal

0 bp0.5 bp1 bp15:30 signal, close to open (tested)+1.42 bp+0.01 bpFull-day signal, close to open+1.1 bp0 bp15:30 signal, 15:30 to close+1.2 bp+0.6 bp

Large-cap peersSmall-cap peers

Gross daily return of three versions on the same days. The tradable 15:30 signal and the untradable full-day signal give the same near-zero answer overnight, and the 15:30-to-close row is a separate leg, not an increment.

Chart data (bp)
Large-cap peersSmall-cap peers
15:30 signal, close to open (tested)1.420.01
Full-day signal, close to open1.10
15:30 signal, 15:30 to close1.20.6

Large-cap peers by half of the period

0 bp2.5 bp5 bp7.5 bp10 bpcost: 10First half+1.3 bpSecond half+1.5 bp

Gross mean per day in each half, against the 10 bp cost. Both halves are positive and both are far below the cost, so the sign does not decide anything.

Chart data (bp)
Gross return
First half1.3
Second half1.5
04 · What it means

Why it failed Interpretation · not established

The earlier daily test measured about +2.5 bp a day overnight in peers. Even if that average were real, it is a quarter of the 10 bp cost of trading a long and a short basket in and out, and in this window the comparable figure was +1.1 bp. Moving the signal to 15:30 made the trade possible but did not make the gross return larger than the cost, which is what decided the result.

Lesson

An effect measured in one test can fail to appear in another, and even where it appeared it was smaller than the cost of trading it.

Scope of this result

Covers current S&P 500 and S&P 600 members, 11 sectors, a 15:30 signal, closing-auction entry and opening-auction exit, December 2023 to October 2026, equal-weighted baskets and the stated costs. Index membership and sector labels are today's, and the 15:30 price is the last trade of the hourly bar rather than a quote.

A rejected experiment applies to the tested conditions and does not prove an idea can never work. bp = basis point, 0.01%.

1. Test design

Pre-registered
Yes: rule and criteria fixed before the test data was examined
Data
Hourly bars (15:30 price taken from the 14:30 bar) and daily open and close prices for the S&P 500 and S&P 600 constituents and the S&P 500 index fund — public retail market-data site; 1 hour and 1 day; 2023-12..2026-10; public; no login | Sector labels for current index members — public encyclopedia constituent lists; per stock; 2026-10; public
Universe
11 sectors. Leaders: per sector, the 5 S&P 500 stocks with the highest 20-day median dollar volume up to the previous day. Cell 1 followers: the other S&P 500 stocks of the sector. Cell 2 followers: S&P 600 stocks of the sector with 20-day median dollar volume of at least $5M. A sector needs at least 5 followers to be ranked. Index membership is today's, so survivors are over-represented.
Signal
Leader signal per sector: equal-weight return of the 5 leaders from the previous close to the 15:30 price, minus the S&P 500 index fund's return over the same window. The 15:30 price is the last trade of the 14:30 hourly bar, not a quote. Sectors are ranked each day; long the equal-weight followers of the top 3, short those of the bottom 3.
Execution
Enter at the closing auction on day t, exit at the opening auction on day t+1. Follower return is close t to open t+1, minus the index fund's return over the same window, on adjusted prices. One portfolio observation per day.
Costs
Cell 1: 4 bp per leg on two legs plus 2 bp for borrowing the short side = 10 bp per day. Cell 2: 14 bp per leg on two legs plus 2 bp = 30 bp per day. Stress case: costs doubled.
Controls
Descriptive checks on the same days: the same overnight trade using the leaders' full-day return to the close instead of the 15:30 return (the version that cannot be traded), and the followers' return from 15:30 to the close with the 15:30 signal.
Sample split
First and second half of the 722 days. Rule and criteria fixed before this test was run.
Pass criterion
Per cell: gross mean at least 3 times cost; Newey-West t (5 lags) at least 2.5; median above 0; net above 0 in both halves; net above 0 under doubled costs; Holm-adjusted p below 0.05 over the 2 cells.
Kill criterion
Gross mean at or below cost.
Power
Daily standard deviation about 50 bp over about 720 days gives a standard error near 1.9 bp and a minimum detectable effect near 5 bp, half the large-cap cost.

2. Result

Observations
722
Instruments
—
Net mean
-8.58 bp
95% interval
Not reported
Median
-11.3 bp
Worst
—
Finding 1
Large-cap peers (cell 1) earned +1.42 bp a day gross over 722 days (t 0.83, a t-statistic, is the average divided by its noise; median -1.3 bp), a net of -8.58 bp after the 10 bp cost. Net is gross minus cost.
Finding 2
The positive average does not count: a t of 0.83 is consistent with zero, the median day lost 1.3 bp before cost (11.3 bp after), and it is far below the 10 bp cost.
Finding 3
Small-cap peers (cell 2) earned +0.01 bp a day gross (t 0.00) against a 30 bp cost.
Finding 4
The first half of the period earned +1.3 bp a day and the second half +1.5 bp a day in cell 1; both are below the 10 bp cost.
Finding 5
Using the leaders' full-day return to the close, which cannot be traded because it is known only after the closing-auction deadline, the same overnight trade earned +1.1 bp (large caps) and +0.0 bp (small caps).
Finding 6
The long-short portfolio's return from 15:30 to the close on the 15:30 signal was +1.2 bp (large caps) and +0.6 bp (small caps), gross; far below the 10 and 30 bp costs of the full trade.
Finding 7
The earlier test on daily data over a longer period had found about +2.5 bp a day overnight for large-cap peers. The comparable figure in this window was +1.1 bp, a difference within this window's noise.

3. Interpretation

Why it failed
The earlier daily test measured about +2.5 bp a day overnight in peers. Even if that average were real, it is a quarter of the 10 bp cost of trading a long and a short basket in and out, and in this window the comparable figure was +1.1 bp. Moving the signal to 15:30 made the trade possible but did not make the gross return larger than the cost, which is what decided the result.
Lesson
An effect measured in one test can fail to appear in another, and even where it appeared it was smaller than the cost of trading it.
Scope
Covers current S&P 500 and S&P 600 members, 11 sectors, a 15:30 signal, closing-auction entry and opening-auction exit, December 2023 to October 2026, equal-weighted baskets and the stated costs. Index membership and sector labels are today's, and the 15:30 price is the last trade of the hourly bar rather than a quote.

4. Reproducibility

Steps
1) Take hourly and daily bars for current S&P 500 and S&P 600 members plus the S&P 500 index fund, December 2023 to October 2026, and sector labels from public constituent lists. 2) Each day, pick the 5 S&P 500 stocks with the highest 20-day median dollar volume per sector as leaders. 3) Compute each sector's leader return from the previous close to the 15:30 price (last trade of the 14:30 bar), minus the index fund's. 4) Rank the 11 sectors; take the equal-weight followers of the top 3 long and bottom 3 short, from close t to open t+1 minus the index fund's, on adjusted prices. 5) Deduct 10 bp (large caps) or 30 bp (small caps), compute the mean, median and Newey-West t with 5 lags, apply Holm over the two cells.
Grade
COMPLETE
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