Linearisation techniques and the dual algorithm for a class of mixed singular/continuous control problems in reinsurance. Part II: Numerical aspects
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DOI: 10.1016/j.amc.2024.128655
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- Florin Avram & Dan Goreac & Jean-François Renaud, 2019. "The Løkka–Zervos Alternative for a Cramér–Lundberg Process with Exponential Jumps," Risks, MDPI, vol. 7(4), pages 1-9, December.
- Julia Eisenberg & Hanspeter Schmidli, 2011. "Minimising expected discounted capital injections by reinsurance in a classical risk model," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2011(3), pages 155-176.
- Shapiro, Alexander, 2011. "Analysis of stochastic dual dynamic programming method," European Journal of Operational Research, Elsevier, vol. 209(1), pages 63-72, February.
- Kei Noba & Jos'e-Luis P'erez & Xiang Yu, 2019. "On the bail-out dividend problem for spectrally negative Markov additive models," Papers 1901.03021, arXiv.org, revised Feb 2020.
- Florin Avram & Zbigniew Palmowski & Martijn R. Pistorius, 2007. "On the optimal dividend problem for a spectrally negative L\'{e}vy process," Papers math/0702893, arXiv.org.
- Løkka, Arne & Zervos, Mihail, 2008. "Optimal dividend and issuance of equity policies in the presence of proportional costs," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 954-961, June.
- Hohmann, Marc & Warrington, Joseph & Lygeros, John, 2020. "A moment and sum-of-squares extension of dual dynamic programming with application to nonlinear energy storage problems," European Journal of Operational Research, Elsevier, vol. 283(1), pages 16-32.
- Florin Avram & Dan Goreac & Juan Li & Xiaochi Wu, 2021. "Equity Cost Induced Dichotomy for Optimal Dividends with Capital Injections in the Cramér-Lundberg Model," Mathematics, MDPI, vol. 9(9), pages 1-27, April.
- Kulenko, Natalie & Schmidli, Hanspeter, 2008. "Optimal dividend strategies in a Cramér-Lundberg model with capital injections," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 270-278, October.
- Pablo Azcue & Nora Muler, 2005. "Optimal Reinsurance And Dividend Distribution Policies In The Cramér‐Lundberg Model," Mathematical Finance, Wiley Blackwell, vol. 15(2), pages 261-308, April.
- GOREAC, Dan & LI, Juan & XU, Boxiang, 2022. "Linearisation Techniques and the Dual Algorithm for a Class of Mixed Singular/Continuous Control Problems in Reinsurance. Part I: Theoretical Aspects," Applied Mathematics and Computation, Elsevier, vol. 431(C).
- Florin Avram & Dan Goreac & Rim Adenane & Ulyses Solon, 2022. "Optimizing Dividends and Capital Injections Limited by Bankruptcy, and Practical Approximations for the Cramér-Lundberg Process," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2339-2371, December.
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Keywords
Singular/continuous control; Linear programming; Dual algorithm; Reinsurance; Capital injection; Dividends; Occupation measure; Dual dynamic programming;All these keywords.
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