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- Publisher Website: 10.1360/SCM-2017-0371
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Article: Optimal reinsurance and investment in a Markovian regime-switching economy with delayed system and common shock
Title | Optimal reinsurance and investment in a Markovian regime-switching economy with delayed system and common shock |
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Authors | |
Keywords | Extended Hamilton-Jacobi-Bellman equation Reinsurance/investment Mean-variance utility Delayed system Markovian regime-switching |
Issue Date | 2020 |
Publisher | Springer Verlag, co-published with Science China Press. The Journal's web site is located at http://link.springer.com/journal/11425 |
Citation | Science China Mathematics, 2020 (Forthcoming) How to Cite? |
Abstract | This paper studies the optimal reinsurance and investment problem for an insurer in a Markovian regime-switching economy with delayed system, in which the market modes are divided into a finite number of regimes, and all the key parameters change according to the value of different market modes. It is assumed that the insurance risk process of the insurer is modulated by a compound Poisson process while the price process of the risky asset is governed by a jump-diffusion model, and that the two jump processes are correlated through a common shock. Under the criterion of maximizing the expected mean-variance utility of terminal wealth, explicit expressions for the optimal strategies and value function are obtained within a game theoretic framework by using the technique of stochastic control theory and the corresponding extended Hamilton-Jacobi-Bellman equation. The existence and uniqueness of the solutions are also verified. Finally, numerical examples are presented to show the impact of some parameters on the optimal results. |
Persistent Identifier | http://hdl.handle.net/10722/287721 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 1.060 |
DC Field | Value | Language |
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dc.contributor.author | Zhang, C | - |
dc.contributor.author | Liang, Z | - |
dc.contributor.author | Yuen, KC | - |
dc.date.accessioned | 2020-10-05T12:02:18Z | - |
dc.date.available | 2020-10-05T12:02:18Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Science China Mathematics, 2020 (Forthcoming) | - |
dc.identifier.issn | 1674-7283 | - |
dc.identifier.uri | http://hdl.handle.net/10722/287721 | - |
dc.description.abstract | This paper studies the optimal reinsurance and investment problem for an insurer in a Markovian regime-switching economy with delayed system, in which the market modes are divided into a finite number of regimes, and all the key parameters change according to the value of different market modes. It is assumed that the insurance risk process of the insurer is modulated by a compound Poisson process while the price process of the risky asset is governed by a jump-diffusion model, and that the two jump processes are correlated through a common shock. Under the criterion of maximizing the expected mean-variance utility of terminal wealth, explicit expressions for the optimal strategies and value function are obtained within a game theoretic framework by using the technique of stochastic control theory and the corresponding extended Hamilton-Jacobi-Bellman equation. The existence and uniqueness of the solutions are also verified. Finally, numerical examples are presented to show the impact of some parameters on the optimal results. | - |
dc.language | eng | - |
dc.publisher | Springer Verlag, co-published with Science China Press. The Journal's web site is located at http://link.springer.com/journal/11425 | - |
dc.relation.ispartof | Science China Mathematics | - |
dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: https://doi.org/[insert DOI] | - |
dc.subject | Extended Hamilton-Jacobi-Bellman equation | - |
dc.subject | Reinsurance/investment | - |
dc.subject | Mean-variance utility | - |
dc.subject | Delayed system | - |
dc.subject | Markovian regime-switching | - |
dc.title | Optimal reinsurance and investment in a Markovian regime-switching economy with delayed system and common shock | - |
dc.type | Article | - |
dc.identifier.email | Yuen, KC: kcyuen@hku.hk | - |
dc.identifier.authority | Yuen, KC=rp00836 | - |
dc.identifier.doi | 10.1360/SCM-2017-0371 | - |
dc.identifier.scopus | eid_2-s2.0-85105108493 | - |
dc.identifier.hkuros | 315600 | - |
dc.publisher.place | China | - |
dc.identifier.issnl | 1869-1862 | - |