Basket implied volatility skew and stickiness

Battle Count: 51

Highly relevant for traders and quants dealing with index options and basket derivatives. Understanding the skew stickiness ratio is crucial for dynamic hedging and managing volatility risk in multi-asset portfolios.

Implementing the theoretical formulas requires advanced knowledge of stochastic calculus, Malliavin derivatives, and asymptotic analysis. Numerical implementation of the underlying Gaussian Volterra models is also computationally intensive.

The paper provides rigorous mathematical proofs and explicit formulas for the skew coefficients and stickiness ratios under specific model assumptions (Gaussian Volterra factors). Reproducibility depends on implementing the complex asymptotic expansions and Malliavin calculus derivations.