Pairs trading needs a stationary spread; Brandes tests seven U.S. equity pairs and shows correlation and costs can still break the trade.
SPY/QQQ look nearly perfectly correlated but fail every cointegration test and produce a negative walk-forward Sharpe.
Engle-Granger, Johansen, and Phillips-Ouliaris in log-price space; only GOOG/GOOGL and V/MA pass.
GOOG/GOOGL’s hedge ratio barely moves across folds; GLD/GDX’s drifts and its Sharpe rides gold-bull regimes.
Tight GOOG/GOOGL spreads break even near 15 bps; wider V/MA survives to about 37 bps.
Rule entries and a placebo of extreme z-scores decay the same way—reversion comes from the spread.
Cointegration filters fake pairs; β stability and cost tolerance decide what is actually tradeable.