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On Discrete Risk Process with Stochastic Premiums and Dividends Modulated by Random Discount Rates

DOI: 10.4236/jmf.2024.144023, PP. 397-416

Keywords: Discrete Time Surplus Process, Random Premiums, Constant Dividend Barrier, Random Discount Factor, Total Expected Discounted Dividends Prior to Ruin, Generating Function Method

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Abstract:

We extend the discrete time risk model studied by Korzeniowski [1] [2] via incorporating the effect of dividend payments subject to random discount factor. By applying generating functions technique, effective recursive formulas for the total expected discounted dividends prior to ruin are derived. Results are illustrated by examples representing various surplus process risk scenarios.

References

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https://doi.org/10.4236/jmf.2022.121008
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https://doi.org/10.4236/jmf.2023.132011
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[10]  Nie, C., Chen, M., Liu, H. and Yu, W. (2020) On a Discrete Markov-Modulated Risk Model with Random Premium Income and Delayed Claims. Mathematical Problems in Engineering, 2020, Article ID: 3042543.
https://doi.org/10.1155/2020/3042543

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