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Insurance and Asset Pricing in Incomplete Markets With Heavy Tailed Risks
A model for pricing risks in incomplete markets using prices for traded assets and allowing for heavy tailed risks is developed. The approach used is based on an approximation that collapses to the CAPM for multi normal portfolios. The pricing result is derived as an approximation using elliptical distributions and...
Pricing of Catastrophe Reinsurance and Derivatives Using the Cox Process With Shot Noise Intensity
The study uses the Cox process or a doubly stochastic Poisson process to model the claim arrival process for catastrophic events. The shot noise process is used for the claim intensity function within the Cox process. The Cox process with shot noise intensity is examined by piecewise deterministic Markov process...
Doubly Stochastic Poisson Process and the Pricing of Catastrophe Reinsurance Contract
The paper uses a doubly stochastic Poisson process or the Cox process to model the claim arrival process for catastrophic events. The shot noise process is used for the claim intensity function within the Cox process. The Cox process with shot noise intensity is examined by piecewise deterministic Markov process...
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