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About:
Pricing foreseeable and unforeseeable risks in insurance portfolios
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Academic Article
research paper
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Covid-on-the-Web dataset
title
Pricing foreseeable and unforeseeable risks in insurance portfolios
Creator
Constantinescu, Corina
Egídio Dos Reis, Alfredo
Maume-Deschamps, Véronique
Ni, Weihong
source
ArXiv
abstract
In this manuscript we propose a method for pricing insurance products that cover not only traditional risks, but also unforeseen ones. By considering the Poisson process parameter to be a mixed random variable, we capture the heterogeneity of foreseeable and unforeseeable risks. To illustrate, we estimate the weights for the two risk streams for a real dataset from a Portuguese insurer. To calculate the premium, we set the frequency and severity as distributions that belong to the linear exponential family. Under a Bayesian setup , we show that when working with a finite mixture of conjugate priors, the premium can be estimated by a mixture of posterior means, with updated parameters, depending on claim histories. We emphasise the riskiness of the unforeseeable trend, by choosing heavy-tailed distributions. After estimating distribution parameters involved using the Expectation-Maximization algorithm, we found that Bayesian premiums derived are more reactive to claim trends than traditional ones.
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2020-07-15
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8b47616b03d6bb9f1d79944e438e14fb2cea15d5
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Pricing foreseeable and unforeseeable risks in insurance portfolios
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named entity 'RISKS'
named entity 'INSURANCE'
named entity 'Poisson process'
named entity 'insurance'
named entity 'Gamma random variables'
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