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On a periodic dividend barrier strategy in the dual model with continuous monitoring of solvency

Benjamin Avanzi, Eric C.K. Cheung, Bernard Wong and Jae-Kyung Woo

Insurance: Mathematics and Economics, 2013, vol. 52, issue 1, 98-113

Abstract: We consider the dual model, which is appropriate for modeling the surplus of companies with deterministic expenses and stochastic gains, such as pharmaceutical, petroleum or commission-based companies. Dividend strategies for this model that can be found in the literature include the barrier strategy (e.g., Avanzi et al., 2007) and the threshold strategy (e.g., Cheung, 2008), where dividend decisions are made continuously. While in practice the financial position of a company is typically monitored frequently, dividend decisions are only made periodically along with the publication of its books. In this paper, we introduce a dividend barrier strategy whereby dividend decisions are made only periodically, but still allow ruin to occur at any time (as soon as the surplus is exhausted). This is in contrast to Albrecher et al. (2011a), who introduced periodic dividend payments in the Cramér–Lundberg surplus model, albeit with periodic ruin opportunities as well.

Keywords: Dual model; Barrier strategy; Erlangization; Dividends; Ruin (search for similar items in EconPapers)
JEL-codes: C44 C61 G24 G32 G35 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:52:y:2013:i:1:p:98-113

DOI: 10.1016/j.insmatheco.2012.10.008

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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