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Reinsurance Mathematics

The quantitative foundations of reinsurance, from the collective risk model to layer pricing, stop-loss and capital.

Risk Foundations

The collective risk model: S = ΣX.

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Pricing Methods

Burning cost, experience and exposure rating.

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Excess of Loss

Layer severity, reinstatements, risk load.

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Stop-Loss

Aggregate cover and the net stop-loss premium.

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Exposure Curves & ILFs

Allocating loss across layers.

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Capital & Solvency

VaR, TVaR and BCAR-style capital.

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Actuarial Mathematics

Credibility, Panjer, reserving.

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