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Evidence shows that the labor participation rate of retirement age cohorts is non-negligible, and it is a widespread phenomenon globally. In the United States, the labor force participation rate for workers age 75 and older is projected to…

投资组合管理 · 定量金融 2022-02-10 Xiang Gao , Cody Hyndman , Traian A. Pirvu , Petar Jevtić

The decision to annuitize wealth in retirement planning has become increasingly complex due to rising longevity risk and changing retirement patterns, including increased labor force participation at older ages. While an extensive…

数理金融 · 定量金融 2026-02-05 Criscent Birungi , Cody Hyndman

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

In this paper, we derive explicit closed-form solutions for the value function and the associated optimal stopping boundaries in an optimal annuitization problem under a mortality shock. We consider an individual whose retirement wealth is…

数理金融 · 定量金融 2026-04-13 Matteo Buttarazzi

This paper examines the retirement decision, optimal investment, and consumption strategies under an age-dependent force of mortality. We formulate the optimization problem as a combined stochastic control and optimal stopping problem with…

最优化与控制 · 数学 2023-11-22 Giorgio Ferrari , Shihao Zhu

In this work we analytically solve an optimal retirement problem, in which the agent optimally allocates the risky investment, consumption and leisure rate to maximise a gain function characterised by a power utility function of consumption…

投资组合管理 · 定量金融 2021-08-23 Guodong Ding , Daniele Marazzina

In this paper we deal with the optimal bankruptcy problem for an agent who can optimally allocate her consumption rate, the amount of capital invested in the risky asset as well as her leisure time. In our framework, the agent is endowed by…

投资组合管理 · 定量金融 2021-06-30 Guodong Ding , Daniele Marazzina

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

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

This paper addresses the problem of determining the optimal time for an individual to convert retirement savings into a lifetime annuity. The individual invests their wealth into a dividend-paying fund that follows the dynamics of a…

数理金融 · 定量金融 2025-09-17 Matteo Buttarazzi , Tiziano De Angelis , Gabriele Stabile

In this paper,we study the individual's optimal retirement time and optimal consumption under habitual persistence. Because the individual feels equally satisfied with a lower habitual level and is more reluctant to change the habitual…

数理金融 · 定量金融 2021-04-01 Lin He , Zongxia Liang , Yilun Song , Qi Ye

We study the optimal investment-consumption problem for a member of defined contribution plan during the decumulation phase. For a fixed annuitization time, to achieve higher final annuity, we consider a variable consumption rate. Moreover,…

投资组合管理 · 定量金融 2020-08-18 Hassan Dadashi

We study an optimal control problem encompassing investment, consumption, and retirement decisions under exponential (CARA-type) utility. The financial market comprises a bond with constant drift and a stock following geometric Brownian…

最优化与控制 · 数学 2024-12-05 Tae Ung Gang , Yong Hyun Shin

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

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

最优化与控制 · 数学 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

In this study we propose a unified model of optimal retirement, consumption and portfolio choice of an individual agent, which encompasses a large class of the models in the literature and provide a general methodology to solve the model.…

最优化与控制 · 数学 2021-11-02 Junkee Jeon , Hyeng Keun Koo

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

A retiree's appetite for risk is a common input into the lifetime utility models that are traditionally used to find optimal strategies for the decumulation of retirement savings. In this work, we consider a retiree with potentially…

综合经济学 · 经济学 2024-03-18 Benjamin Avanzi , Lewis de Felice

It is known that the decision to purchase an annuity may be associated to an optimal stopping problem. However, little is known about optimal strategies, if the mortality force is a generic function of time and if the `subjective' life…

数理金融 · 定量金融 2018-07-13 Tiziano De Angelis , Gabriele Stabile

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
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