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Related papers: Life cycle insurance, bequest motives and annuity …

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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…

Portfolio Management · Quantitative Finance 2014-07-25 Erhan Bayraktar , David Promislow , Virginia Young

This paper investigates the consumption and investment decisions of an individual facing uncertain lifespan and stochastic labor income within a Black-Scholes market framework. A key aspect of our study involves the agent's option to choose…

Portfolio Management · Quantitative Finance 2025-06-05 An Chen , Giorgio Ferrari , Shihao Zhu

We determine the optimal strategies for purchasing term life insurance and for investing in a risky financial market in order to maximize the probability of reaching a bequest goal while consuming from an investment account. We extend…

Portfolio Management · Quantitative Finance 2016-02-29 Erhan Bayraktar , David Promislow , Virginia Young

We consider the problem of how an individual can use term life insurance to maximize the probability of reaching a given bequest goal, an important problem in financial planning. We assume that the individual buys instantaneous term life…

Mathematical Finance · Quantitative Finance 2015-03-10 Erhan Bayraktar , Virginia R. Young , David Promislow

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,…

Portfolio Management · Quantitative Finance 2024-10-29 Wenyuan Li , Pengyu Wei

We determine the optimal amount of life insurance for a household of two wage earners. We consider the simple case of exponential utility, thereby removing wealth as a factor in buying life insurance, while retaining the relationship among…

Portfolio Management · Quantitative Finance 2013-06-28 Erhan Bayraktar , Virginia R. Young

Family history is usually seen as a significant factor insurance companies look at when applying for a life insurance policy. Where it is used, family history of cardiovascular diseases, death by cancer, or family history of high blood…

Applications · Statistics 2020-06-16 Olivier Cabrignac , Arthur Charpentier , Ewen Gallic

This paper considers an optimal life insurance for a householder subject to mortality risk. The household receives a wage income continuously, which is terminated by unexpected (premature) loss of earning power or (planned and intended)…

Portfolio Management · Quantitative Finance 2011-05-03 Masahiko Egami , Hideki Iwaki

This paper studies a life-cycle optimal portfolio-consumption problem when the consumption performance is measured by a shortfall aversion preference with an additional drawdown constraint on consumption rate. Meanwhile, the agent also…

Optimization and Control · Mathematics 2022-10-21 Xun Li , Xiang Yu , Qinyi Zhang

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…

Portfolio Management · Quantitative Finance 2015-06-22 Moshe A. Milevsky , Virginia R. Young

Who {\em values} life annuities more? Is it the healthy retiree who expects to live long and might become a centenarian, or is the unhealthy retiree with a short life expectancy more likely to appreciate the pooling of longevity risk? What…

Risk Management · Quantitative Finance 2018-11-29 Moshe A. Milevsky

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…

Risk Management · Quantitative Finance 2010-01-26 Ting Wang , Virginia R. Young

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…

Optimization and Control · Mathematics 2008-12-10 Erhan Bayraktar , Virginia R. Young

In life insurance, life tables are used to estimate the survival distribution of individuals from a given population. However, these tables only provide survival probabilities at integer ages but no information about the distribution of…

Risk Management · Quantitative Finance 2026-03-19 Jean-Loup Dupret , Edouard Motte

We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move…

Mathematical Finance · Quantitative Finance 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

This paper researches the problem of purchasing deferred term insurance in the context of financial planning to maximize the probability of achieving a personal financial goal. Specifically, our study starts from the perspective of hedging…

Portfolio Management · Quantitative Finance 2023-01-11 Yuqi Li , Lihua Zhang

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…

Mathematical Finance · Quantitative Finance 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Michel Kschonnek , Rudi Zagst

Insurance and annuity products covering several lives require the modelling of the joint distribution of future lifetimes. In the interest of simplifying calculations, it is common in practice to assume that the future lifetimes among a…

Risk Management · Quantitative Finance 2016-01-19 François Dufresne , Enkelejd Hashorva , Gildas Ratovomirija , Youssouf Toukourou

Should households buy their homes? Contrary to popular expert advice, our block-bootstrap lifecycle simulation provides an affirmative answer. Homeownership generates wealth and welfare gains relative to rent-for-life benchmarks that invest…

General Economics · Economics 2026-05-19 Yang Bai , Shize Li , Jialu Shen

Historical tontines promised enormous rewards to the last survivors at the expense of those who died early. While this design appealed to the gambling instinct, it is a suboptimal way to manage longevity risk during retirement. This is why…

Portfolio Management · Quantitative Finance 2016-11-02 Moshe A. Milevsky , Thomas S. Salisbury
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