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The compound binomial model with randomly paying dividends to shareholders and policyholders

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  • He, Lei
  • Yang, Xiangqun

Abstract

Considering surplus of a joint stock insurance company based on compound binomial model, set up thresholds a1, a2 for shareholders and policyholders respectively. When surplus is no less than the thresholds, the company randomly pays dividends to shareholders and policyholders with probabilities q1, q2 respectively. For this model, we have derived the recursive formulas of both the expected discount penalty function and ruin probability, and the distribution function of the deficit at ruin.

Suggested Citation

  • He, Lei & Yang, Xiangqun, 2010. "The compound binomial model with randomly paying dividends to shareholders and policyholders," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 443-449, June.
    • Handle: RePEc:eee:insuma:v:46:y:2010:i:3:p:443-449
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    References listed on IDEAS

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    1. Cai, Jun & Dickson, David C. M., 2002. "On the expected discounted penalty function at ruin of a surplus process with interest," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 389-404, June.
    2. Tan, Jiyang & Yang, Xiangqun, 2006. "The compound binomial model with randomized decisions on paying dividends," Insurance: Mathematics and Economics, Elsevier, vol. 39(1), pages 1-18, August.
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    Cited by:

    1. Kam Pui Wat & Kam Chuen Yuen & Wai Keung Li & Xueyuan Wu, 2018. "On the Compound Binomial Risk Model with Delayed Claims and Randomized Dividends," Risks, MDPI, vol. 6(1), pages 1-13, January.

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