Volatility Modeling Purpose Model, forecast, and interpret volatility using time-series models and options-implied measures. This skill covers EWMA and GARCH(1,1) for volatility forecasting, implied volatility extraction, volatility smile/skew/surface construction, the volatility term structure, the realized-vs-implied volatility gap (volatility risk premium), and the VIX index. These tools are foundational for options pricing, risk management, and trading strategy development. Layer 1b — Forward-Looking Risk Direction Prospective When to Use - Forecasting future volatility for risk managemen…