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In this short note, we address two issues in the literature about modern tontines with bequest and utility maximisation: how to verify optimal controls and the decreasing allocation of funds in the tontine. We want to raise awareness in the…

风险管理 · 定量金融 2025-01-16 Thomas Bernhardt

We introduce a new pension product that offers retirees the opportunity for a lifelong income and a bequest for their estate. Based on a tontine mechanism, the product divides pension savings between a tontine account and a bequest account.…

投资组合管理 · 定量金融 2019-11-25 Thomas Bernhardt , Catherine Donnelly

In this paper, we propose a new type of reversible modern tontine with transaction costs. The wealth of the retiree is divided into a bequest account and a tontine account. And consumption can only be withdrawn from the bequest account.…

数理金融 · 定量金融 2023-06-16 Lin He , Zongxia Liang , Sheng Wang

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

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…

投资组合管理 · 定量金融 2016-11-02 Moshe A. Milevsky , Thomas S. Salisbury

We consider the holder of an individual tontine retirement account, with maximum and minimum withdrawal amounts (per year) specified. The tontine account holder initiates the account at age 65, and earns mortality credits while alive, but…

计算金融 · 定量金融 2022-11-22 Peter A. Forsyth , Kenneth R. Vetzal , G. Westmacott

There is growing interest in the design of pension annuities that insure against idiosyncratic longevity risk while pooling and sharing systematic risk. This is partially motivated by the desire to reduce capital and reserve requirements…

数理金融 · 定量金融 2018-11-27 M. A. Milevsky , T. S. Salisbury

In this paper, we develop a deep neural network approach to solve a lifetime expected mortality-weighted utility-based model for optimal consumption in the decumulation phase of a defined contribution pension system. We formulate this…

综合金融 · 定量金融 2020-07-28 Wen Chen , Nicolas Langrené

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)…

投资组合管理 · 定量金融 2011-05-03 Masahiko Egami , Hideki Iwaki

In this paper, optimal consumption and investment decisions are studied for an investor who can invest in a fixed interest rate bank account and a stock whose price is a log normal diffusion. We present the method of the HJB equation in…

投资组合管理 · 定量金融 2014-09-16 Jiacheng Feng

We provide a detailed characterization of the optimal consumption stream for the additive habit-forming utility maximization problem, in a framework of general discrete-time incomplete markets and random endowments. This characterization…

投资组合管理 · 定量金融 2012-01-11 Roman Muraviev

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…

最优化与控制 · 数学 2022-10-21 Xun Li , Xiang Yu , Qinyi Zhang

The aim of this paper is to solve an optimal investment, consumption and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic…

投资组合管理 · 定量金融 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

We introduce an extension to Merton's famous continuous time model of optimal consumption and investment, in the spirit of previous works by Pliska and Ye, to allow for a wage earner to have a random lifetime and to use a portion of the…

投资组合管理 · 定量金融 2011-02-14 I. Duarte , D. Pinheiro , A. A. Pinto , S. R. Pliska

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

For an exponential utility maximizing investment strategy in a Black-Scholes Setting, fixed upper and lower constraints are introduced on the terminal wealth. This is equivalent to combining the optimal strategy with options. The resulting…

投资组合管理 · 定量金融 2017-12-05 Lena Schutte

We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic…

概率论 · 数学 2014-09-23 Anis Matoussi , Hanen Mezghani , Mohamed Mnif

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…

投资组合管理 · 定量金融 2016-02-29 Erhan Bayraktar , David Promislow , Virginia Young

Optimal investment strategies of an individual worker during the accumulation phase in the defined contribution pension scheme have been well studied in the literature. Most of them adopted the classical backward model and approach, but any…

投资组合管理 · 定量金融 2023-09-19 Kenneth Tsz Hin Ng , Wing Fung Chong

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided…

经济学 · 定量金融 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov
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