A Semi-Markov Dynamic Capital Injection Problem for Distressed Banks

نویسندگان

چکیده

Our study investigates the optimal dividend strategy for a bank, taking into account potential government capital injections. We explore different types of interventions, such as liberal, transparent, or uncertain strategies, and consider both single multiple interventions. approach differs from others it focuses on interventions that aim to maintain overall stability financial system, rather than just addressing banks have already sought assistance are in dire need it. Specifically, we focus situations where is more likely assist not requested its intervention too difficult save. To accomplish this, conduct comprehensive examination all possible scenarios involving single, one-time injection derive explicit solutions associated control problem. Furthermore, expand model include semi-Markov dynamic processes show unique viscosity solution Hamilton–Jacobi–Bellman equation. The government’s also takes bank’s solvency any past

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ژورنال

عنوان ژورنال: Risks

سال: 2023

ISSN: ['2227-9091']

DOI: https://doi.org/10.3390/risks11040067