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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

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 consider the problem of optimizing lifetime consumption under a habit formation model. Our work differs from previous results, because we incorporate mortality and pension income. Lifetime utility of consumption makes the…

投资组合管理 · 定量金融 2022-10-13 S. Kirusheva , H. Huang , T. S. Salisbury

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

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 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

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

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

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

This paper investigates the optimal retirement decision, investment, and consumption strategies in a market with jump diffusion, taking into account habit persistence and stock-wage correlation. Our analysis considers multiple stocks and a…

数理金融 · 定量金融 2024-02-20 Guohui Guan , Qitao Huang , Zongxia Liang , Fengyi Yuan

We study an agent's lifecycle portfolio choice problem with stochastic labor income, borrowing constraints and a finite retirement date. Similarly to arXiv:2002.00201, wages evolve in a path-dependent way, but the presence of a finite…

最优化与控制 · 数学 2024-02-27 Sara Biagini , Enrico Biffis , Fausto Gozzi , Margherita Zanella

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

This paper studies an optimal investment and consumption problem with heterogeneous consumption of basic and luxury goods, together with the choice of time for retirement. The utility for luxury goods is not necessarily a concave function.…

投资组合管理 · 定量金融 2022-06-09 Hyun Jin Jang , Zuo Quan Xu , Harry Zheng

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

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

The "standard" Merton formulation of optimal investment and consumption involves optimizing the integrated lifetime utility of consumption, suitably discounted, together with the discounted future bequest. In this formulation the utility of…

投资组合管理 · 定量金融 2008-12-02 Roman Naryshkin , Matt Davison

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

This paper assesses the hedge effectiveness of an index-based longevity swap and a longevity cap. Although swaps are a natural instrument for hedging longevity risk, derivatives with non-linear pay-offs, such as longevity caps, also provide…

计算金融 · 定量金融 2015-08-04 Man Chung Fung , Katja Ignatieva , Michael Sherris

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

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
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