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Economic scenario generator and parameter uncertainty : a Bayesian approach

Recurso electrónico / Electronic resource
Registro MARC
Tag12Valor
LDR  00000cab a2200000 4500
001  MAP20190019422
003  MAP
005  20190626151329.0
008  190621e20190501esp|||p |0|||b|spa d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20190008310‎$a‎Bégin, Jean-François
24510‎$a‎Economic scenario generator and parameter uncertainty‎$b‎: a Bayesian approach‎$c‎Jean-François Bégin
300  ‎$a‎38 p.
520  ‎$a‎In this article, we study parameter uncertainty and its actuarial implications in the context of economic scenario generators. To account for this additional source of uncertainty in a consistent manner, we cast Wilkie's four-factor framework into a Bayesian model. The posterior distribution of the model parameters is estimated using Markov chain Monte Carlo methods and is used to perform Bayesian predictions on the future values of the inflation rate, the dividend yield, the dividend index return and the long-term interest rate. According to the US data, parameter uncertainty has a significant impact on the dispersion of the four economic variables of Wilkie's framework. The impact of such parameter uncertainty is then assessed for a portfolio of annuities: the right tail of the loss distribution is significantly heavier when parameters are assumed random and when this uncertainty is estimated in a consistent manner. The risk measures on the loss variable computed with parameter uncertainty are at least 12% larger than their deterministic counterparts.
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20100065242‎$a‎Teorema de Bayes
650 4‎$0‎MAPA20080576783‎$a‎Modelo de Markov
650 4‎$0‎MAPA20080608606‎$a‎Simulación Monte Carlo
650 4‎$0‎MAPA20080565992‎$a‎Incertidumbre
7730 ‎$w‎MAP20077000420‎$t‎Astin bulletin‎$d‎Belgium : ASTIN and AFIR Sections of the International Actuarial Association‎$x‎0515-0361‎$g‎01/05/2019 Volumen 49 Número 2 - mayo 2019 , p. 335-372