Non-Life Insurance: Reserving
Massimiliano Maggioni and
Giuseppe Turchetti
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Massimiliano Maggioni: University of Milano
Giuseppe Turchetti: Sant’Anna School of Advanced Studies
Chapter 12 in Fundamentals of the Insurance Business, 2024, pp 261-296 from Springer
Abstract:
Abstract In this chapter, the reader can learn the concept of an insurance claim. Starting from this notion the run-off triangle is explained, i.e. the scheme representing claims that underlies the estimation of reserve amounts. The following paragraphs present reserve valuation methodologies, distinguishing between deterministic and probabilistic or stochastic methods. Deterministic methods are based on forecasting the value of the claims reserve through a projection into the future of expected costs, and using assumptions inferred from time series. In the course of the discussion, among the most important ones are presented: grossing up, chain ladder method and Fisher Lange method. In addition, the main outlines of Taylor’s separation method and the method of Bornhuetter and Ferguson are described. The stochastic methods are based on a probabilistic distribution of results. These include the Mack method, GLM models and bootstrapping. In the end, the evaluation principles for premium technical reserve are explained.
Keywords: Loss reserve; Reserve for losses IBNR; Reserve for losses IBNER; The run-off triangle; Deterministic methods; Grossing up method; Chain ladder method; Fisher Lange method; Taylor’s separation method; Bornhuetter–Ferguson method; Stochastic methods; Mack model; Generalised linear models; Bootstrapping; Premium reserve (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-319-52851-9_12
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DOI: 10.1007/978-3-319-52851-9_12
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