Optimal reinsurance and investment via stochastic projected gradient method based on Malliavin calculus
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910689787904000 |
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| author | Otsuki, Yuta Yagishita, Shotaro |
| author_facet | Otsuki, Yuta Yagishita, Shotaro |
| contents | This paper proposes a new approach using the stochastic projected gradient method and Malliavin calculus for optimal reinsurance and investment strategies. Unlike traditional methodologies, we aim to optimize static investment and reinsurance strategies by directly minimizing the ruin probability. Furthermore, we provide a convergence analysis of the stochastic projected gradient method for general constrained optimization problems whose objective function has Hölder continuous gradient. Numerical experiments show the effectiveness of our proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05417 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal reinsurance and investment via stochastic projected gradient method based on Malliavin calculus Otsuki, Yuta Yagishita, Shotaro Mathematical Finance Optimization and Control Computational Finance This paper proposes a new approach using the stochastic projected gradient method and Malliavin calculus for optimal reinsurance and investment strategies. Unlike traditional methodologies, we aim to optimize static investment and reinsurance strategies by directly minimizing the ruin probability. Furthermore, we provide a convergence analysis of the stochastic projected gradient method for general constrained optimization problems whose objective function has Hölder continuous gradient. Numerical experiments show the effectiveness of our proposed method. |
| title | Optimal reinsurance and investment via stochastic projected gradient method based on Malliavin calculus |
| topic | Mathematical Finance Optimization and Control Computational Finance |
| url | https://arxiv.org/abs/2411.05417 |