Analysis of a drawdown-based regime-switching Lévy insurance model

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      <subfield code="a">Landriault, David</subfield>
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      <subfield code="a">Analysis of a drawdown-based regime-switching Lévy insurance model</subfield>
      <subfield code="c">David Landriault, Bin Li, Shu Li</subfield>
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      <subfield code="a">In this paper, we propose a new drawdown-based regime-switching (DBRS) Lévy insurance model in which the underlying drawdown process is used to model an insurer¿s level of financial distress over time, and to trigger regime-switching transitions. By some analytical arguments, we derive explicit formulas for a generalized two-sided exit problem. We specifically state conditions under which the survival probability is not trivially zero (which corresponds to the positive security loading conditions of the proposed model). The regime-dependent occupation time until ruin is later studied. As a special case of the general DBRS model, a regime-switching premium model is given further consideration. Connections with other existing risk models (such as the loss-carry-forward tax model of Albrecher and Hipp, 2007) are established</subfield>
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      <subfield code="w">MAP20077100574</subfield>
      <subfield code="t">Insurance : mathematics and economics</subfield>
      <subfield code="d">Oxford : Elsevier, 1990-</subfield>
      <subfield code="x">0167-6687</subfield>
      <subfield code="g">12/01/2015 Volumen 60 Número  - enero 2015 </subfield>
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