Time-consistent reinsurance and investment strategies for mean-variance insurer under partial information

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      <subfield code="a">Time-consistent reinsurance and investment strategies for mean-variance insurer under partial information</subfield>
      <subfield code="c">Zongxia Liang, Min Song</subfield>
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      <subfield code="a">In this paper, based on equilibrium control law proposed by Björk and Murgoci (2010), we study an optimal investment and reinsurance problem under partial information for insurer with meanvariance utility, where insurer's risk aversion varies over time. Instead of treating this time-inconsistent problem as pre-committed, we aim to find time-consistent equilibrium strategy within a game theoretic framework. In particular, proportional reinsurance, acquiring new business, investing in financial market are available in the market. The surplus process of insurer is depicted by classical Lundberg model, and the financial market consists of one risk free asset and one risky asset with unobservable Markov-modulated regime switching drift process. By using reduction technique and solving a generalized extended HJB equation, we derive closed-form time-consistent investment reinsurance strategy and corresponding value function. Moreover, we compare results under partial information with optimal investment
reinsurance strategy when Markov chain is observable. Finally, some numerical illustrations and sensitivity analysis are provided</subfield>
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      <subfield code="t">Insurance : mathematics and economics</subfield>
      <subfield code="d">Oxford : Elsevier, 1990-</subfield>
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      <subfield code="g">02/11/2015 Volumen 65 - noviembre 2015 , p. 66-76</subfield>
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