Optimal dividend and equity issuance problem with proportional and fixed transaction costs

Xiaofan Peng, Mi Chen and Junyi Guo

Insurance: Mathematics and Economics, 2012, vol. 51, issue 3, 576-585

Abstract: This paper investigates the optimal dividend problem of an insurance company, which controls risk exposure by reinsurance and by issuing new equity to protect from bankruptcy. Transaction costs are incurred by these business activities: reinsurance is non-cheap, dividend is taxed and fixed costs are generated by equity issuance. The goal of the company is to maximize the expected cumulative discounted dividend minus the expected discounted costs of equity issuance. This problem is formulated as a mixed regular-singular-impulse stochastic control problem. By solving the corresponding HJB equation, we obtain the analytical solutions of the optimal return function and the optimal strategy.

Keywords: Transaction costs; Mixed regular-singular-impulse control; HJB equation; Optimal dividend; Equity issuance (search for similar items in EconPapers)
JEL-codes: C61 G22 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:51:y:2012:i:3:p:576-585

DOI: 10.1016/j.insmatheco.2012.08.004

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