基于价格调整的长寿风险自然对冲策略

doi:10.16381/j.cnki.issn1003-207x.2015.12.002

Abstract

Abstract: In the framework of longevity risk hedging, a price-adjusted longevity risk natural hedging model is established by introducing the exogenous product prices. Firstly, the analytical solution of the optimal product mix of the model is derived by adopting the optimization theory. Then, optimal prices for life insurance products and annuities are obtained under the constraint that the actual product mix equals to the optimal product mix of the model. Under the optimal prices, the optimal product mix of the model is truly realized, that is, the actual product mix is exactly the optimal product mix which minimizes the longevity risk. Finally, the effectiveness of the natural hedging strategy based on the effect of price adjustment is illustrated by using numerical examples. Furthermore, the impact of the interest rates, age and gender on the natural hedging strategy is also examined.

Key words: longevity risk, natural hedging, product pricing, product mix

CLC Number:

F840.32

ZENG Yan, ZENG Qing-zou, KANG Zhi-lin. Natural Hedging Strategy for Longevity Risk Based on Price Adjustment[J]. Chinese Journal of Management Science, 2015, 23(12): 11-19.

References

[1] Cox S H, Lin Yijia. Natural hedging of life and annuity mortality risks[J]. North American Actuarial Journal, 2007, 11(3):1-15.

[2] Gatzert N, Wesker H. The impact of natural hedging on a life insurer's risk situation[J]. Journal of Risk Finance, 2012, 13(5):396-423.

[3] Barrieu P, Bensusan H, Karoui N, et al. Understanding, modeling and managing longevity risk:Key issues and main challenges[J]. Scandinavian actuarial journal, 2012(3):203-231.

[4] Wang J L, Huang H C, Yang S S, et al. An optimal product mix for hedging longevity risk in life insurance companies:The immunization theory approach[J]. Journal of Risk and Insurance, 2010, 77(2):473-497.

[5] Tsai J T, Wang J L, Tzeng L Y. On the optimal product mix in life insurance companies using conditional value at risk[J]. Insurance:Mathematics and Economics, 2010, 46(1):235-241.

[6] 黄顺林,王晓军. 基于VaR方法的长寿风险自然对冲模型[J]. 统计与信息论坛, 2011,(2):48-51.

[7] Cox S H, Lin Yijia, Tian Ruilin, et al. Mortality portfolio risk management[J]. Journal of Risk and Insurance, 2013, 80(4):853-890.

[8] Coughlan G D, Khalaf-Allah M, Ye Yijing, et al. Longevity hedging:A framework for longevity basis risk analysis and hedge effectiveness[J]. North American Actuarial Journal, 2011, 15(2):150-176.

[9] Li JSH, Hardy MR. Measuring basis risk in longevity hedges[J]. North American Actuarial Journal, 2011, 15(2):177-200.

[10] Tsai J T, Tzeng L Y, Wang J L. Hedging longevity risk when interest rates are uncertain[J]. North American Actuarial Journal, 2011, 15(2):201-211.

[11] 金博轶. 随机利率条件下保险公司长寿风险自然对冲策略研究[J]. 保险研究, 2013,(5):31-38.

[12] Wang Chouwen, Huang H C, Hong Dechuan. A feasible natural hedging strategy for insurance companies[J]. Insurance:Mathematics and Economics, 2013, 52(3):532-541.

[13] Cairns A J G, Blake D, Dowd K. A two-factor model for stochastic mortality with parameter uncertainty:Theory and calibration[J]. Journal of Risk and Insurance, 2006, 73(4):687-718.

[14] Cairns A J G, Blake D, Dowd K, et al. Mortality density forecasts:An analysis of six stochastic mortality models[J]. Insurance:Mathematics and Economics, 2011, 48(3):355-367.

Natural Hedging Strategy for Longevity Risk Based on Price Adjustment

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