Design and pricing of a transparent parametric-modeled loss CAT bond: application to German windstorm

Battle Count: 50

The paper is primarily relevant to insurance-linked securities (ILS) and catastrophe bond markets rather than traditional quantitative trading. However, it has relevance for: (1) ILS fund managers pricing and trading cat bonds in secondary markets, (2) risk modeling for portfolio allocation in alternative asset classes, (3) understanding the pricing framework (Wang transform, Vasicek model, contingent claims) applicable to structured products, (4) basis risk assessment relevant to derivative pricing, and (5) spatial extremes modeling techniques transferable to other financial risk applications. The cat bond market is a growing asset class with increasing institutional investor participation.

High complexity due to: (1) fitting max-stable random fields requires composite likelihood estimation which is computationally intensive (pairwise likelihood over 95 CRESTA zones), (2) multiple model selection steps (GEV marginals, dependence structures, correlation functions), (3) calibration of vulnerability function via constrained regression, (4) pricing requires simulation of 2 million yearly loss realizations, (5) Wang transform application and n-forward measure changes, (6) Vasicek SDE solution and bond price computation, (7) frequency-severity model integration, (8) requires specialized R packages (SpatialExtremes, ismev) and proprietary data sources. The mathematical framework involves spatial extremes theory, stochastic calculus, and actuarial modeling.

The paper provides detailed mathematical formulations, parameter estimates, and references to specific R packages (ismev, SpatialExtremes, AER, trend, boot). However, the PERILS wind speed, exposure, and industry loss data are proprietary and not publicly available. The UK Met Office data and GfK GeoMarketing shapefiles are also not freely accessible. The methodology is fully described but exact reproduction requires licensed data. No GitHub repository is mentioned.