In this paper, we consider the dividend optimization problem for a financial corporation with fixed transaction costs. Besides the dividend control, the financial corporation takes proportional reinsurance to reduce risk and invests its reserve in a financial market consisting of a risk-free asset (bond) and a risky asset (stock). Because of the presence of the fixed transaction costs, the problem becomes a mixed classical-impulse stochastic control problem. We solve this problem explicitly and construct the value function together with the optimal policy.

中文翻译：

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固定交易成本的最优再保险投资和分红问题

在本文中，我们考虑具有固定交易成本的金融公司的股利优化问题。除了分红控制外，金融公司还采取比例再保险以降低风险，并将其准备金投资于由无风险资产（债券）和风险资产（股票）组成的金融市场。由于存在固定交易成本，因此该问题成为混合经典脉冲随机控制问题。我们明确解决此问题，并与最优策略一起构造价值函数。