The quantitative foundations of reinsurance, from the collective risk model to layer pricing, stop-loss and capital.
The collective risk model: S = ΣX.
Burning cost, experience and exposure rating.
Layer severity, reinstatements, risk load.
Aggregate cover and the net stop-loss premium.
Allocating loss across layers.
VaR, TVaR and BCAR-style capital.
Credibility, Panjer, reserving.
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