Risk Minimization for Insurance Products via F-Doubly Stochastic Markov Chains

Biagini, Francesca ; Groll, Andreas und Widenmann, Jan (2016): Risk Minimization for Insurance Products via F-Doubly Stochastic Markov Chains. In: Risks, Bd. 4, Nr. 3, 23

Abstract

We study risk-minimization for a large class of insurance contracts. Given that the individual progress in time of visiting an insurance policy's states follows an F-doubly stochastic Markov chain, we describe different state-dependent types of insurance benefits. These cover single payments at maturity, annuity-type payments and payments at the time of a transition. Based on the intensity of the F-doubly stochastic Markov chain, we provide the Galtchouk-Kunita-Watanabe decomposition for a general insurance contract and specify risk-minimizing strategies in a Brownian financial market setting. The results are further illustrated explicitly within an affine structure for the intensity.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 2227-9091
• Sprache: Englisch