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Application of Game Theory to Pricing of Participating Deferred Annuity

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  • Hong Mao
  • Krzysztof M. Ostaszewski

Abstract

We study pricing models for a participating deferred annuity. Game theory is used to formulate different pricing models based on customers’ preference concerning benefits and risks. The objective is to maximize social welfare. Value at Risk (VaR) under multi-stage stochastic processes is applied to measure credit risk and its calculation is discussed. Monte Carlo simulation and stochastic optimization are used to find optimal solutions for price and dividend rate.

Suggested Citation

  • Hong Mao & Krzysztof M. Ostaszewski, 2007. "Application of Game Theory to Pricing of Participating Deferred Annuity," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 30(2), pages 102-121.
  • Handle: RePEc:wri:journl:v:30:y:2007:i:2:p:102-121
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    Cited by:

    1. José Daniel López-Barrientos & Ekaterina Viktorovna Gromova & Ekaterina Sergeevna Miroshnichenko, 2020. "Resource Exploitation in a Stochastic Horizon under Two Parametric Interpretations," Mathematics, MDPI, vol. 8(7), pages 1-29, July.
    2. Mao Hong & Wen Zhongkai, 2018. "Optimization of Price, Default Ratio and Capital under Regulatory Criterion of Maximizing Social Benefit," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 12(2), pages 1-15, July.

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