This paper studies an optimal reinsurance-investment problem for a mean-variance insurer with defaultable security and jumps. Specially, we assume that the risky asset's price process is described by a geometric Lévy process. By using a game theoretic approach, we establish the extended Hamilton-Jacobi-Bellman system for the post-default case and the pre-default case, respectively. Furthermore, we derive the closed-from expressions for the time-consistent reinsurance-investment strategy and the corresponding value function. Finally, we provide numerical examples to illustrate the impacts of model parameters on the time-consistent strategy._{}^{}

Mean-variance, Proportional reinsurance, Time-consistent strategy, Defaultable bond, Geometric Lévy process

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Birincil Dil | en |
---|---|

Konular | Matematik |

Dergi Bölümü | İstatistik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms440371,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651-477X},
eissn = {2651-477X},
address = {Hacettepe Üniversitesi},
year = {2018},
volume = {47},
pages = {763 - 781},
doi = {},
title = {Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps},
key = {cite},
author = {Zhang, Qiang and Cui, Qianqian and Chen, Ping}
}
``` |

APA | Zhang, Q , Cui, Q , Chen, P . (2018). Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps. Hacettepe Journal of Mathematics and Statistics, 47 (3), 763-781. Retrieved from http://dergipark.gov.tr/hujms/issue/38121/440371 |

MLA | Zhang, Q , Cui, Q , Chen, P . "Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps". Hacettepe Journal of Mathematics and Statistics 47 (2018): 763-781 <http://dergipark.gov.tr/hujms/issue/38121/440371> |

Chicago | Zhang, Q , Cui, Q , Chen, P . "Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps". Hacettepe Journal of Mathematics and Statistics 47 (2018): 763-781 |

RIS | TY - JOUR T1 - Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps AU - Qiang Zhang , Qianqian Cui , Ping Chen Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 763 EP - 781 VL - 47 IS - 3 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - |

EndNote | %0 Hacettepe Journal of Mathematics and Statistics Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps %A Qiang Zhang , Qianqian Cui , Ping Chen %T Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 3 %R %U |

ISNAD | Zhang, Qiang , Cui, Qianqian , Chen, Ping . "Time-consistent reinsurance-investment strategy for mean-variance insurers with defaultable security and jumps". Hacettepe Journal of Mathematics and Statistics 47 / 3 (Haziran 2018): 763-781. |