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Bounds of Ruin Probabilities for Insurance Companies in the Presence of Stochastic Volatility on Investments⋆⋆⋆

Mohamed Badaoui, Begoña Fernández (2011)

ESAIM: Proceedings

In this work we consider a model of an insurance company where the insurer has to face a claims process which follows a Compound Poisson process with finite exponential moments. The insurer is allowed to invest in a bank account and in a risky asset described by Geometric Brownian motion with stochastic volatility that depends on an external factor modelled as a diffusion process. By using exponential martingale techniques we obtain upper and lower...

Copula-based grouped risk aggregation under mixed operation

Quan Zhou, Zhenlong Chen, Ruixing Ming (2016)

Applications of Mathematics

This paper deals with the problem of risk measurement under mixed operation. For this purpose, we divide the basic risks into several groups based on the actual situation. First, we calculate the bounds for the subsum of every group of basic risks, then we obtain the bounds for the total sum of all the basic risks. For the dependency relationships between the basic risks in every group and all of the subsums, we give different copulas to describe them. The bounds for the aggregated risk under mixed...

Optimal stopping of a 2-vector risk process

Krzysztof Szajowski (2010)

Banach Center Publications

The following problem in risk theory is considered. An insurance company, endowed with an initial capital a > 0, receives insurance premiums and pays out successive claims from two kind of risks. The losses occur according to a marked point process. At any time the company may broaden or narrow down the offer, which entails the change of the parameters of the underlying risk process. These changes concern the rate of income, the intensity of the renewal process and the distribution of claims....

Optimisation de plans de financement immobiliers

Frédéric Gardi (2010)

RAIRO - Operations Research

La finance de marché est devenue un des domaines d'ap- plication privilégiés de la recherche opérationnelle. D'un autre côté, rares sont les applications touchant la banque de détail, tournée vers le grand public. Dans ce papier, nous abordons un problème d'actualité dans le secteur bancaire français : l'optimisation de plans de financement immobiliers. Le travail que nous présentons a été effectué dans le cadre du développement par la société Experian-Prologia d'une nouvelle application d'instruction...

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