Back to Docs
T
Traderoid

RollingSkewness Node

Rolling return distribution asymmetry measurement

StatisticalDistributionRolling

Overview

Rolling Skewness measures return distribution asymmetry. Positive skew = more upside surprises (good). Negative skew = more downside surprises (bad). Rising rolling skew = market improving psychologically. Declining rolling skew = tail risk rising, need defense.

Traders prefer positive skew: win big occasionally, lose small frequently. Negative skew (eat fish, get caught by shark) is dangerous. Rolling skewness change is early indicator of regime shift. High volatility + negative skew = danger zone.

Formula & Calculation

Skewness Definition
Skewness = E[(X - μ)³] / σ³
3rd moment normalized by variance^1.5
Normal distribution: Skewness = 0
Interpretation
Skew > 0: Right tail (positive outliers)
Skew = 0: Symmetric
Skew < 0: Left tail (negative outliers = crashes)
Range typically -3 to +3 (extreme values rare)

Parameters

ParameterDefaultDescription
lookback60Rolling window
biasFalseSample vs population skew

Common Use Cases

1. Risk Diagnosis

Negative rolling skew = crash risk. Defense needed (wider stops, reduced leverage, hedges). Positive skew = opportunity for aggression.

2. Optimization Target

Optimize strategies for positive skew (rare). Avoid negative skew strategies. Design portfolios: diversify to positive skew.

3. Tail Hedging

When rolling skew becomes negative, add tail hedges (long OTM puts). Skew inflation = tail fear increasing = OTM puts expensive but necessary.

4. Earnings Alert

Rising negative skew before earnings = market fearing downside. Match position sizing to skew (reduce into negative skew).

Advantages & Limitations

Advantages

  • Captures distribution shape
  • Simple interpretation
  • Early warning of tail risk
  • Guides position sizing
!

Limitations

  • Requires many samples
  • Influenced by large outliers
  • Unstable in small windows
  • Backward looking only

Related Nodes