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RollingAlpha Node

Rolling CAPM excess return above benchmark

StatisticalPerformanceRolling

Overview

Rolling Alpha measures the excess return generated above what CAPM predicts, calculated in rolling windows. It decomposes strategy returns into systematic risk (Beta) versus active skill (Alpha). Positive rolling alpha indicates consistent outperformance; negative alpha suggests underperformance despite taking systematic risk.

Unlike static alpha (calculated once), rolling alpha shows whether alpha generation is consistent over time. Declining rolling alpha warns of strategy decay. This metric directly feeds Information Ratio and separates luck from skill.

Formula & Calculation

CAPM Framework
Return = Risk-free + Beta × (Market - Risk-free) + Alpha
Alpha = Return - Risk-free - Beta × (Market - Risk-free)
Alpha = Actual - Expected return from risk taken
Rolling Implementation
For each window: Alpha(t) = Sum(R_strategy) - Sum(R_risk_free) - Beta × Sum(R_market - R_risk_free)
Calculate Beta freshly in each window
Annualize: Alpha_annual = Alpha_window × (252/window_size)

Parameters

ParameterDefaultDescription
period252Rolling window length (1 year)
benchmarkSPYMarket return source

Common Use Cases

1. Skill Assessment

Rolling alpha > 0% consistently = true skill. Declining rolling alpha = strategy decay or changed market conditions.

2. Strategy Retirement

When rolling alpha turns negative, strategy is destroying value. Stop trading or redesign.

3. Rebalancing Timing

Use rolling alpha inflection points as signals to adjust factor exposures or strategy weights.

4. Manager Benchmarking

Compare fund managers: Consistent positive rolling alpha (after fees) indicates manager ability.

Advantages & Limitations

Advantages

  • Separates skill from risk
  • Shows performance changes
  • Industry standard metric
  • Directly interpretable
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Limitations

  • Assumes linear relationship (Beta)
  • Past alpha ≠ future alpha
  • Regression can be unstable
  • Benchmark selection critical

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