Optimal proportional insurance under claim habit

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      <subfield code="a">This paper analyzes a two-period optimal insurance problem in which a policyholder with meanvariance preferences purchases proportional insurance, and premiums depend on claim history through a variance-based principle. We derive the time-consistent optimal strategy in closed form and the constant precommitment strategy in semi-closed form. For the general precommitment case, we obtain a semi-explicit second-period solution and a numerical first-period solution. We also compare the three optimal strategies and study how key parameters influence decisions and value functions</subfield>
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