Regulated absolute ruin problem with interest structure and linear dividend barrier

Manman Li and Zaiming Liu

Economic Modelling, 2012, vol. 29, issue 5, 1786-1792

Abstract: The uncontrolled surplus of an insurance company is a classical risk model. Now the risk model includes three features, namely debit interest, short-term and long-term invested interest, and linear dividend barrier. In this paper, the PDMP method and martingales are used for solvency studies in the risk model under regulation of minimum cash requirement. The integro-differential equations are derived for the expected discounted dividends under absolute ruin. In the case of exponential claim amounts, explicit expressions are obtained, as well as the numerical illustrations and their economic interpretation.

Keywords: PDMP method; The expected discounted dividends; Linear dividend barrier; The confluent hypergeometric function (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecmode:v:29:y:2012:i:5:p:1786-1792

DOI: 10.1016/j.econmod.2012.04.013

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