Affine Volterra covariance processes and application to commodity markets

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Highly relevant for quantitative researchers in commodity and energy markets who need to model stochastic volatility and correlation with memory effects. It provides analytical tractability (closed-form transforms) which is crucial for efficient pricing and risk calculation, though it is not a direct trading algorithm.

Implementing the theoretical model requires solving complex matrix-valued Riccati-Volterra equations numerically. The mathematical sophistication is high, involving stochastic analysis on convex cones and advanced integral equations.

The paper is purely theoretical and mathematical. Reproducibility involves verifying the mathematical proofs and derivations. There are no empirical datasets or code provided for numerical experiments.