arXiv Open Access 2021

Merton Investment Problems in Finance and Insurance for the Hawkes-based Models

Anatoliy Swishchuk
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Abstrak

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.

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Penulis (1)

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Anatoliy Swishchuk

Format Sitasi

Swishchuk, A. (2021). Merton Investment Problems in Finance and Insurance for the Hawkes-based Models. https://arxiv.org/abs/2104.02694

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Tahun Terbit
2021
Bahasa
en
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arXiv
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Open Access ✓