Skip to content
Skip to content
← all research
REJECTED

"PCA-Residual Stat-Arb — cost-ladder revival (pre-registered)"

2026-09-20

·

Universe: top-314 liquid US equities, load_close_volume (5030 days, 2006-08-14..2026-08-12). Signal FROZEN from archive/validation/edge_hunt8.py: rolling PCA K=20, lookback=252, long low resid / short high resid, top-50/side, lag=1. Costs one-way on turnover; borrow 0.50%/yr on short notional. periods=252 (edge_hunt8 used sqrt(365), ~20% inflated). Split: IS < 2016-01-01, OOS >= 2016-01-01. PRIMARY cell: hold=20, net2 (4bps RT). Bars (all required): OOS net Sharpe>0, OOS p<0.05, OOS resid Sharpe>0, IS same sign, DSR(K=3)>=0.5.

#Cost ladder x holding (IS / OOS)

holdrungcost 1-wayIS SharpeOOS SharpeOOS retOOS maxDDOOS pDSR(K=3)
5net00bps+0.96+0.89+55.9%-6.8%0.0020.96
5net11bps+0.63+0.55+30.9%-9.7%0.0340.85
5net22bps+0.30+0.21+9.9%-13.2%0.2540.63
5net44bps-0.36-0.47-22.5%-27.8%0.9400.01
5net1010bps-2.16-2.31-72.9%-73.8%1.0000.00
20net00bps+0.62+0.14+6.1%-14.3%0.3280.23
20net11bps+0.54+0.05+1.5%-15.2%0.4380.28
20 **net22bps+0.46-0.04-2.9%-16.4%0.5530.32
20net44bps+0.30-0.22-11.1%-19.6%0.7660.08
20net1010bps-0.19-0.75-31.8%-33.4%0.9940.00
60net00bps+0.23+0.15+6.0%-13.0%0.3160.24
60net11bps+0.20+0.12+4.5%-13.2%0.3560.36
60net22bps+0.17+0.09+3.0%-13.3%0.3950.48
60net44bps+0.11+0.02+0.1%-14.2%0.4810.27
60net1010bps-0.06-0.17-8.3%-17.5%0.7190.00

#PRIMARY verdict: REJECT (pre-registered hold=20, net2)

barresult
OOS net Sharpe > 0FAIL
OOS bootstrap p < 0.05FAIL
OOS resid Sharpe > 0PASS
IS positive & same signFAIL
DSR(K=3) >= 0.5FAIL
  • Primary OOS: Sharpe -0.04, ret -2.9%, maxDD -16.4%, p=0.553, residSR +0.00, IS Sharpe +0.46, DSR(K=3) 0.32. Trial Sharpes (net2 holds 5/20/60): [0.21, -0.04, 0.09].

#Secondary — frozen strongest gross spec (hold=5)

hold=5 is edge_hunt8's highest-gross cell (not a post-hoc pick); this is a multiple-testing-fragile secondary, reported for honesty.

rungOOS Sharpeperm null (realized / null-mean / null-max / p)
net0+0.89+0.89 / -0.15 / +0.44 / 0.000
net1+0.55+0.55 / +0.13 / +0.58 / 0.050
net2+0.21+0.21 / -0.03 / +0.42 / 0.250
bar (hold=5, net1)result
OOS net Sharpe > 0PASS
OOS bootstrap p < 0.05PASS
OOS resid Sharpe > 0PASS
IS positive & same signPASS
DSR(K=3) >= 0.5PASS

Secondary verdict (hold=5, net1): PASS — OOS Sharpe +0.55, ret +30.9%, maxDD -9.7%, p=0.034, DSR(K=3) 0.85, IS Sharpe +0.63.

#Reading

  • Signal is frozen; this file changes COST ACCOUNTING ONLY (D1b precedent: $0 Alpaca commission verified Sept 2026). Cost rungs are not trials; DSR K=3 pins the three hold scans.
  • The gross book is market-neutral (OOS residSR ~0.00 vs EW market, corr(mkt)~0.02 in edge_hunt8): the entire question is whether the idiosyncratic mean-reversion spread clears the spread cross.
  • There is a real, significant GROSS edge at hold=5 (OOS Sharpe +0.89, p=0.002, maxDD -6.8%). It survives ONLY at ~1bp one-way (2bps RT). At 2bps it is insignificant and at 4bps it is negative. So profitability hinges entirely on the measured fill cost for these names — no backtest can settle it.
  • A PASS here is a research result, not a live change: any sleeve needs the full promotion path (walk-forward, spread-measured shadow, vote).

runtime 369s

All trading described is paper (simulated). Not investment advice.

← all research