Abstract
In this chapter we show some examples of the optimal value functions and the optimal strategies for the classical risk model. In these examples, the optimal band strategies have one (barrier) or two bands; we have not found examples with more bands in the unbounded dividend payment case. However, when imposing a ceiling on the rate of dividends, band strategies with infinitely many bands can be found (even with claim-size distributions with bounded density); see [12].
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Azcue, P., Muler, N.: Optimal investment strategy to minimize the ruin probability of an insurance company under borrowing constraints. Insur. Math. Econ. 44, 26–34 (2009)
Azcue, P., Muler, N.: Optimal dividend policies for compound Poisson processes: the case of bounded dividend rates. Insur. Math. Econ. 51, 26–42 (2012)
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Azcue, P., Muler, N. (2014). Numerical Examples. In: Stochastic Optimization in Insurance. SpringerBriefs in Quantitative Finance. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0995-7_6
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DOI: https://doi.org/10.1007/978-1-4939-0995-7_6
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