Abstract
In this paper, we study a stochastic control problem faced by an insurance company allowed to pay out dividends and make capital injections. As in (Løkka and Zervos (2008); Lindensjö and Lindskog (2019)), for a Brownian motion risk process, and in Zhu and Yang (2016), for diffusion processes, we will show that the so-called Løkka–Zervos alternative also holds true in the case of a Cramér–Lundberg risk process with exponential claims. More specifically, we show that: if the cost of capital injections is low, then according to a double-barrier strategy, it is optimal to pay dividends and inject capital, meaning ruin never occurs; and if the cost of capital injections is high, then according to a single-barrier strategy, it is optimal to pay dividends and never inject capital, meaning ruin occurs at the first passage below zero.
Subject
Strategy and Management,Economics, Econometrics and Finance (miscellaneous),Accounting
Reference18 articles.
1. Ruin Probabilities;Albrecher,2010
2. Exit identities for Lévy processes observed at Poisson arrival times
3. Exit problems for spectrally negative Lévy processes and applications to (Canadized) Russian options;Avram;The Annals of Applied Probability,2004
4. The W,Z scale functions kit for first passage problems of spectrally negative Lévy processes, and applications to the optimization of dividends;Avram;arXiv,2019
5. On the optimal dividend problem for a spectrally negative Lévy process
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