An Optimization Dichotomy for Capital Injections and Absolutely Continuous Dividend Strategies
Published Online:24 Mar 2026https://doi.org/10.1287/moor.2024.0768
References
- [1] (2020) Optimal ratcheting of dividends in insurance. SIAM J. Control Optim. 58(4):1822–1845.Crossref, Google Scholar
- [2] (2022) Optimal ratcheting of dividends in a Brownian risk model. SIAM J. Financial Math. 13(3):657–701.Crossref, Google Scholar
- [3] (2008) Optimal dividends in the dual model with diffusion. Astin Bull. 38(2):653–667.Crossref, Google Scholar
- [4] (2012) On a mean reverting dividend strategy with Brownian motion. Insurance Math. Econom. 51(2):229–238.Crossref, Google Scholar
- [5] (2011) Optimal dividends and capital injections in the dual model with diffusion. Astin Bull. 41(2):611–644.Google Scholar
- [6] (2019) The Løkka–Zervos alternative for a Cramér–Lundberg process with exponential jumps. Risks 7(4):120.Crossref, Google Scholar
- [7] (2007) On the optimal dividend problem for a spectrally negative Lévy process. Ann. Appl. Probab. 17(1):156–180.Crossref, Google Scholar
- [8] (2021) Equity cost induced dichotomy for optimal dividends with capital injections in the Cramér-Lundberg model. Mathematics 9(931):1–27.Google Scholar
- [9] (2020) Optimal dividend and capital structure with debt covenants. J. Optim. Theory Appl. 187(2):535–565.Crossref, Google Scholar
- [10] (2013) An optimal dividend and investment control problem under debt constraints. SIAM J. Financial Math. 4(1):297–326.Crossref, Google Scholar
- [11] (2003) A diffusion model for optimal dividend distribution for a company with constraints on risk control. SIAM J. Control Optim. 41(6):1946–1979.Crossref, Google Scholar
- [12] (1992) User’s guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. 27(1):1–67.Crossref, Google Scholar
- [13] (2007) Optimal dividend policy and growth option. Finance Stochastics 11(1):3–27.Crossref, Google Scholar
- [14] (1957) Su un’ impostazione alternativa dell teoria collettiva del rischio. Trans. XVth Internat. Congress Actuaries, vol. 2, (International Congress of Actuaries, New York), 433–443. Google Scholar
- [15] (2023) De Finetti’s control problem with competition. Appl. Math. Optim. 87:16.Crossref, Google Scholar
- [16] (2005) Optimal partially reversible investment with entry decision and general production function. Stochastic Processes Appl. 115(5):705–736.Crossref, Google Scholar
- [17] (1995) Optimization of the flow of dividends. Uspekhi Mat. Nauk. 50(2):25–46.Google Scholar
- [18] (1991) Brownian Motion and Stochastic Calculus, 2nd ed. (Springer-Verlag, New York).Google Scholar
- [19] (2016) A numerical method for SDEs with discontinuous drift. BIT Numer. Math. 56:151–162.Crossref, Google Scholar
- [20] (2020) Optimal dividends and capital injection under dividend restrictions. Math. Methods Oper. Res. 92(3):461–487.Crossref, Google Scholar
- [21] (2024) De Finetti’s control problem with a concave bound on the control rate. J. Appl. Probab. 61(3):834–850.Crossref, Google Scholar
- [22] (2008) Optimal dividend and issuance of equity policies in the presence of proportional costs. Insurance Math. Econom. 42(3):954–961.Crossref, Google Scholar
- [23] (2008) A mixed singular/switching control problem for a dividend policy with reversible technology investment. Ann. Appl. Probab. 18(3):1164–1200.Crossref, Google Scholar
- [24] (1998) Optimal stopping of controlled jump diffusion processes: A viscosity solution approach. J. Math. Systems Estimation Control 8(1):1–27.Google Scholar
- [25] (2005) Stochastic Integration and Differential Equations, Stochastic Modelling and Applied Probability, 2nd ed. (Springer-Verlag, Berlin).Google Scholar
- [26] (2021) A stochastic control problem with linearly bounded control rates in a Brownian model. SIAM J. Control Optim. 59(5):3103–3117.Crossref, Google Scholar
- [27] (2002) Optimal financing of a corporation subject to random returns. Math. Finance 12(2):155–172.Crossref, Google Scholar
- [28] (1984) Optimal consumption for general diffusions with absorbing and reflecting barriers. SIAM J. Control Optim. 22(1):55–75.Crossref, Google Scholar

