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A variable annuity is an equity-linked financial product typically offered by insurance companies. The policyholder makes an upfront payment to the insurance company and, in return, the insurer is required to make a series of payments…

证券定价 · 定量金融 2019-11-25 Riley Jones , Adriana Ocejo

In this paper we employ a lifecycle model that uses utility of consumption and bequest to determine an optimal Deferred Income Annuity (DIA) purchase policy. We lay out a mathematical framework to formalize the optimization process. The…

投资组合管理 · 定量金融 2021-11-03 F. Habib , H. Huang , A. Mauskopf , B. Nikolic , T. S. Salisbury

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and who can purchase a reversible life annuity. The surrender charge of a life annuity is a proportion of its…

风险管理 · 定量金融 2010-01-26 Ting Wang , Virginia R. Young

This paper investigates the optimal consumption, investment, and life insurance/annuity decisions for a family in an inflationary economy under money illusion. The family can invest in a financial market that consists of nominal bonds,…

投资组合管理 · 定量金融 2024-10-29 Wenyuan Li , Pengyu Wei

Insurance companies often include very long-term guarantees in participating life insurance products, which can turn out to be very valuable. Under a guaranteed annuity options (G.A.O), the insurer guarantees to convert a policyholder's…

投资组合管理 · 定量金融 2009-08-25 Matheus R Grasselli , Sebastiano Silla

We analyze the potential of reinsurance for reversing the current trend of decreasing capital guarantees in life insurance products. Providing an insurer with an opportunity to shift part of the financial risk to a reinsurer, we solve the…

数理金融 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Michel Kschonnek , Rudi Zagst

The purpose of this article is twofold. First, we motivate the need for a new type of stand-alone retirement income insurance product that would help individuals protect against personal longevity risk and possible "retirement ruin" in an…

风险管理 · 定量金融 2012-05-14 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

证券定价 · 定量金融 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

We find the minimum probability of lifetime ruin of an investor who can invest in a market with a risky and a riskless asset and can purchase a deferred annuity. Although we let the admissible set of strategies of annuity purchasing process…

最优化与控制 · 数学 2008-12-10 Erhan Bayraktar , Virginia R. Young

We determine how an individual can use life insurance to meet a bequest goal. We assume that the individual's consumption is met by an income, such as a pension, life annuity, or Social Security. Then, we consider the wealth that the…

投资组合管理 · 定量金融 2014-07-25 Erhan Bayraktar , David Promislow , Virginia Young

The number of people who receive a stable income for life from a closed pooled annuity fund is studied. Income stability is defined as keeping the income within a specified tolerance of the initial income in a fixed proportion of future…

风险管理 · 定量金融 2020-11-02 Thomas Bernhardt , Catherine Donnelly

This paper examines the optimal annuitization, investment and consumption strategies of a utility-maximizing retiree facing a stochastic time of death under a variety of institutional restrictions. We focus on the impact of aging on the…

投资组合管理 · 定量金融 2015-06-22 Moshe A. Milevsky , Virginia R. Young

This paper analyzes a novel type of mortality contingent-claim called a ruin-contingent life annuity (RCLA). This product fuses together a path-dependent equity put option with a "personal longevity" call option. The annuitant's (i.e. long…

证券定价 · 定量金融 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

Variable annuities (VA) are popular insurance products. VAs provides the insured with a guaranteed accumulation rate on their premium at maturity. In addition, the insured may receive extra benefit if returns of underlying funds are high…

证券定价 · 定量金融 2011-08-26 V. M. Belyaev

This seems to be the first English translation of this paper from the French original, ``Sur les rentes viageres''. In the paper, Euler gives a general formula for calculating the price of a life annuity that yields a certain amount per…

历史与综述 · 数学 2007-05-23 Leonhard Euler

We consider the problem of optimal annuitization with labour income, where an agent aims to maximize utility from consumption and labour income under age-dependent force of mortality. Using a dynamic programming approach, we derive…

投资组合管理 · 定量金融 2025-10-14 Criscent Birungi , Cody Hyndman

Tontines were once a popular type of mortality-linked investment pool. They promised enormous rewards to the last survivors at the expense of those died early. And, while this design appealed to the gambling instinc}, it is a suboptimal way…

数理金融 · 定量金融 2016-11-01 Moshe A. Milevsky , Thomas S. Salisbury

In the article we consider accumulated values of annuities-certain with yearly payments with independent random interest rates. We focus on annuities with payments varying in arithmetic and geometric progression which are important basic…

统计理论 · 数学 2007-06-13 K. Burnecki , A. Marciniuk , A. Weron

Most insurance contracts are inherently linked to financial markets, be it via interest rates, or -- as hybrid products like equity-linked life insurance and variable annuities -- directly to stocks or indices. However, insurance contracts…

数理金融 · 定量金融 2022-11-28 Philippe Artzner , Karl-Theodor Eisele , Thorsten Schmidt

In this paper, we are concerned with the valuation of Guaranteed Annuity Options (GAOs) under the most generalised modelling framework where both interest and mortality rates are stochastic and correlated. Pricing these type of options in…

证券定价 · 定量金融 2017-07-05 Raj Kumari Bahl , Sotirios Sabanis
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