AI Research XLESPYmacro:brent_daily

XLE 10-day relative strength vs SPY: forward-return predictability and Brent-trend regime flip

694
Overlapping daily observations

The idea was elegant: when Brent is below its 50-day trend, a strong XLE relative to SPY is likely positioning noise that should fade; when crude is above trend, that same strength should reflect real fundamentals and persist. Tested over roughly three years of overlapping daily observations, only half of that story survives.

Below a weak Brent tape, the relationship tip-toed negative — relative strength slightly foreshadowed weaker XLE returns — but the effect was mild, with a slope of -0.216 and a p-value just shy of conventional significance. Above trend, the persistence leg simply did not show up. The slope was basically flat, and the regime difference itself was statistically indistinguishable from zero. The full charts and regression tables are below; the honest takeaway is that this rule is more intuition than edge.

The research question

Over the past ~3 years, does XLE's 10-day total return relative to SPY predict XLE's forward 10-day return, and does the relationship flip depending on whether Brent crude is above or below its 50-day moving average? I expect relative strength to mean-revert when Brent is below trend—energy spikes against a weak crude tape are positioning-driven and fade—whereas relative strength above trend reflects genuine supply-demand re-rating and persistence.

How this was measured

Resampled XLE and SPY minute bars to daily closes, then computed 10-trading-day total returns. Relative strength is defined as XLE 10-day return minus SPY 10-day return. The predictor is the lagged relative-strength observation; the outcome is XLE's forward 10-day return. Brent regime is assigned using the PRIOR trading day's Brent close versus its 50-day moving average to avoid same-day settlement look-ahead. Because 10-day returns overlap daily, all regression p-values use HAC (Newey-West with 10 lags) standard errors. The below-trend and above-trend slopes are estimated both separately and inside a single interaction model, with the interaction term measuring the regime flip.

The key numbers

Overlapping daily observations
694
2023-10-10 to 2026-07-17
Brent below 50d MA observations
409
Brent above 50d MA observations
285
Below-trend HAC slope
-0.2163
Units: pct-point forward XLE per pct-point relative strength
Below-trend HAC p-value
0.0775
p=0.0775 >= 0.05 -> no statistically-clear below-trend predictive effect
Above-trend HAC slope
-0.0851
Units: pct-point forward XLE per pct-point relative strength
Above-trend HAC p-value
0.3577
p=0.3577 >= 0.05 -> no statistically-clear above-trend predictive effect
Above-minus-below slope
0.1312
Positive means above-trend relationship is more positive than below-trend
Regime interaction HAC p-value
0.3748
p=0.3748 >= 0.05 -> regime interaction is not statistically clear

Reading the numbers

Across 694 overlapping daily observations, the predictive slope was negative in both Brent regimes: -0.216 below the 50-day MA and -0.085 above it. Neither is statistically clear (p≈0.08 and p≈0.36), so the data do not confirm a reliable regime flip.

The charts

Brent below 50d MA: lagged XLE-SPY 10d relative vs forward XLE 10d return
What this chart says

Each dot pairs a day's prior 10-day XLE-vs-SPY relative strength with the next 10-day XLE return, but only for days when Brent traded below its 50-day moving average. The cloud is wide and scattered, and the estimated downward slope is -0.216, meaning stronger recent relative strength was weakly associated with lower forward returns. The p-value of 0.078 is borderline but not below the usual 0.05 threshold, so this mean-reversion pattern is suggestive rather than decisive.

Brent above 50d MA: lagged XLE-SPY 10d relative vs forward XLE 10d return
What this chart says

This is the same scatterplot for the 285 days when Brent was above its 50-day moving average. The slope is also negative at -0.085, but flatter than in the below-trend regime and far from statistically clear with p=0.358. For the user's question, this matters because the expected flip to persistence above trend does not show up: higher relative strength is not followed by reliably stronger forward XLE returns when crude is above trend.

HAC slope of forward XLE 10d on lagged relative strength
What this chart says

The two bars directly compare the fitted slopes: -0.216 when Brent is below its 50-day MA and -0.085 when Brent is above it. Both bars sit below zero, so the relationship is negative in both regimes; the above-trend bar is merely less negative, not positive. The 0.131 gap between them points in the direction of a regime difference, but the interaction p-value of 0.375 says that gap could easily be noise, so the hypothesized negative-to-positive flip is not supported.

Regime-specific predictability summary

RegimeNHAC slopeHAC t-statHAC p-valuePearson rSpearman rho
Brent < 50d MA409-0.2163-1.7650.0775-0.1879-0.1623
Brent > 50d MA285-0.0851-0.920.3577-0.1033-0.0274

The takeaway

Bottom line: over roughly three years and 694 overlapping daily observations, XLE's 10-day relative strength versus SPY is not a dependable predictor of the next 10-day XLE return, and the Brent 50-day trend does not cleanly flip the relationship. When Brent traded below its 50-day MA, the slope was negative (-0.216, p≈0.078), which directionally matches your mean-reversion idea — but with 409 such days, this is a mild lean, not a proven effect. Above trend, the slope was basically flat (-0.085, p≈0.36), so the persistence leg of your hypothesis failed to appear; if anything, the relationship was slightly negative there too. The regime shift itself was small (+0.131 slope difference) and statistically indistinguishable from zero (interaction p≈0.375), meaning the two regimes are not reliably different. Practical takeaway: don't hang a strategy on this rule. The below-trend mean-reversion signal is the only hint of life, and it is too weak to separate from noise and overlapping-window artifacts.

The fine print