MODEL 07 // Heavy-Tailed Reinsurance & Catastrophe Underwriting

Clayton Copula Tail Dependence & ALE

Applied Physics Catalogue
Governing Mathematical Equation
Cθ(u,v)=(u−θ+v−θ−1)−1/θ,λL=2−1/θ>0C_\theta(u, v) = (u^{-\theta} + v^{-\theta} - 1)^{-1/\theta}, \quad \lambda_L = 2^{-1/\theta} > 0

Systemic Risk Mechanism & Physics Formulation

Bivariate lower-tail copula capturing non-linear joint risk dependence and Aggregate Loss Exceedance (ALE) under Lloyd's Y5381 physical war exclusions.

Key Technical Deliverables

>Clayton Copula Systemic Dependency Loss Matrix
>Aggregate Loss Exceedance (ALE) Catastrophe Curve
>Lloyd's Y5381 Physical State Exclusion Validation