Modelling and valuation of catastrophe bonds across multiple regions

Battle Count: 56

The paper is primarily focused on insurance-linked securities and actuarial pricing rather than traditional quantitative trading. However, CAT bonds are traded in capital markets and the pricing models, dependence structures, and risk-adjustment techniques (Wang transform) are relevant to structured product pricing, alternative investment strategies, and risk management in fixed income/credit markets. The Monte Carlo simulation framework and copula-based dependence modelling have broader applicability in quantitative finance.

The mathematical framework involves multi-dimensional aggregate loss processes, bivariate normal approximations, and Wang transforms. Implementation requires: fitting left-truncated distributions (log-normal, inverse Gaussian, Pareto), estimating Poisson intensities, performing 20K Monte Carlo simulations with correlated random variates (using Fackler's method for Spearman correlation), and computing bivariate normal CDFs. The core algorithms are well-defined but require careful numerical implementation, especially for the dependent loss model and the normal approximation with left-truncated distributions.

The paper provides detailed mathematical formulations, fitted distribution parameters, Poisson intensities, and simulation parameters (20K Monte Carlo runs, recovery rate c=0, interest rate r=0.03). However, the PCS data is proprietary and not publicly available. The methodology is well-documented but full reproduction requires access to the Property Claim Services database. A GitHub link is referenced for the map figure but not for the code itself.