Advanced Volatility Models
Enhanced volatility modeling and portfolio risk analysis
HAR Portfolio Analysis
Simple 3-Variable Model: Yesterday, Last Week, Last Month
HAR Model: RVtoday = α + β₁×RVyesterday + β₂×RVlast week + β₃×RVlast month
HAR Components Analysis
Shows relative importance of yesterday, last week, and last monthComponent Contributions
Percentage breakdown of each time period's influenceVolatility Forecasts
Pure HAR model forecasts - no synthetic dataHAR Model Diagnostics
Statistical tests and model quality metrics will be displayed hereVolatility persistence measures how long market shocks last in your portfolio.
Higher persistence (>0.9) means volatility shocks take longer to fade away.
The time period that has the strongest impact on future volatility patterns.
Daily, weekly, or monthly components drive different trading strategies.
R-squared shows how well the HAR model explains volatility patterns.
Values above 30% are considered good for volatility modeling.
HAR insights guide portfolio rebalancing frequency and risk management.
Different dominant periods suggest different optimal strategies.
EWMA Portfolio Risk Analysis
Industry Standard Risk Management (RiskMetrics Methodology)
EWMA Model: σ²ₜ = λ × σ²ₜ₋₁ + (1-λ) × r²ₜ₋₁
Portfolio Risk Overview
EWMA-based risk metrics and portfolio analysisRisk Attribution by Asset
EWMA-based risk decomposition analysisAsset Correlation Heatmap
Exponentially weighted correlation matrixPortfolio Risk Metrics
Comprehensive risk measurement and attribution