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De Finetti’s control for refracted skew Brownian motion

Zhongqin Gao et al.

Advances in Applied Probability2026https://doi.org/10.1017/apr.2026.10058article
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Abstract

In this paper we propose a refracted skew Brownian motion as a risk model with endogenous regime switching, which generalizes the refracted diffusion risk process introduced by Gerber and Shiu. We consider an optimal dividend problem for the refracted skew Brownian risk model and identify sufficient conditions, respectively, for barrier strategy, band strategy, and their variants to be optimal.

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https://doi.org/https://doi.org/10.1017/apr.2026.10058

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@article{zhongqin2026,
  title        = {{De Finetti’s control for refracted skew Brownian motion}},
  author       = {Zhongqin Gao et al.},
  journal      = {Advances in Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/apr.2026.10058},
}

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