Merton Investment Problems in Finance and Insurance for the Hawkes-based Models
Anatoliy Swishchuk
Papers from arXiv.org
Abstract:
We show how to solve Merton optimal investment stochastic control problem for Hawkes-based models in finance and insurance, i.e., for a wealth portfolio X(t) consisting of a bond and a stock price described by general compound Hawkes process (GCHP), and for a capital R(t) of an insurance company with the amount of claims described by the risk model based on GCHP. The novelty of the results consists of the new Hawkes-based models and in the new optimal investment results in finance and insurance for those models.
Date: 2021-04, Revised 2021-05
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2104.02694
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