An innovative design of flexible, bequest-enhanced life annuity with natural hedging

IF 1.6 3区 经济学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Scandinavian Actuarial Journal Pub Date : 2021-11-09 DOI:10.1080/03461238.2021.1997795
Yuxin Zhou, M. Sherris, Jonathan Ziveyi, Mengyi Xu
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Abstract

There is a significant potential demand around the world for a flexible product to manage individual longevity risk. However, annuity markets remain thin, driven by factors including lack of pricing transparency, high product loadings, bequest motives, loss aversion, and the difficulty to hedge the risk. This paper proposes an individual retirement product to allow flexible management of longevity risk. The product combines a lifetime income with a flexible death benefit to meet individual bequest needs. It also benefits the issuers by lower mortality risk due to the natural hedging, and thus lower capital cost as a risk margin. We apply actuarial models that provide transparent pricing for interest rate and mortality risk, the construction of immunized bond portfolios, and the determination of a loading and solvency margin for systematic longevity risk. We also quantify the natural hedging benefits arising from the flexible inclusion of both survival benefits and death benefits.
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一个创新的设计灵活,遗赠增强人寿年金与自然对冲
世界各地对灵活的产品有很大的潜在需求,以管理个人寿命风险。然而,由于价格缺乏透明度、产品数量多、遗产税动机、损失厌恶以及难以对冲风险等因素,年金市场仍然很薄。本文提出了一种个人退休产品,以实现长寿风险的灵活管理。该产品结合了终身收入和灵活的死亡福利,以满足个人遗赠需求。由于自然套期保值,降低了发行人的死亡风险,从而降低了作为风险边际的资本成本。我们应用精算模型,为利率和死亡风险提供透明定价,构建免疫债券投资组合,并确定系统寿命风险的负荷和偿付能力边际。我们还量化了由于灵活纳入生存福利和死亡福利而产生的自然对冲福利。
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来源期刊
Scandinavian Actuarial Journal
Scandinavian Actuarial Journal MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-STATISTICS & PROBABILITY
CiteScore
3.30
自引率
11.10%
发文量
38
审稿时长
>12 weeks
期刊介绍: Scandinavian Actuarial Journal is a journal for actuarial sciences that deals, in theory and application, with mathematical methods for insurance and related matters. The bounds of actuarial mathematics are determined by the area of application rather than by uniformity of methods and techniques. Therefore, a paper of interest to Scandinavian Actuarial Journal may have its theoretical basis in probability theory, statistics, operations research, numerical analysis, computer science, demography, mathematical economics, or any other area of applied mathematics; the main criterion is that the paper should be of specific relevance to actuarial applications.
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