On the Bailout Dividend Problem with Periodic Dividend Payments and Fixed Transaction Costs

التفاصيل البيبلوغرافية
العنوان: On the Bailout Dividend Problem with Periodic Dividend Payments and Fixed Transaction Costs
المؤلفون: Moreno-Franco, Harold A., Pérez, Jose-Luis
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control, 91B30, 60G51, 93E20
الوصف: We study the optimal bailout dividend problem with transaction costs for an insurance company, where shareholder payouts align with the arrival times of an independent Poisson process. In this scenario, the underlying risk model follows a spectrally negative L\'evy process. Our analysis confirms the optimality of a periodic $(b_{1},b_{2})$-barrier policy with classical reflection at zero. This strategy involves reducing the surplus to $b_1$ when it exceeds $b_{2}$ at the Poisson arrival times and pushes the surplus to 0 whenever it goes below zero.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.16077
رقم الانضمام: edsarx.2403.16077
قاعدة البيانات: arXiv