Robust Optimal Investment and Reinsurance Problems with Learning

Nicole B\"auerle and Gregor Leimcke

Papers from arXiv.org

Abstract: In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize the expected exponential utility of terminal wealth which is shown to imply a robust approach. We can solve this problem using a generalized HJB equation where derivatives are replaced by generalized Clarke gradients. The optimal investment strategy can be determined explicitly and the optimal reinsurance strategy is given in terms of the solution of an equation. Since this equation is hard to solve, we derive bounds for the optimal reinsurance strategy via comparison arguments.

Date: 2020-01
New Economics Papers: this item is included in nep-upt
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Citations: View citations in EconPapers (2)

Published in Scandinavian Actuarial Journal Volume 2021 (2), pp. 82-109, 2021

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2001.11301

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