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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…

Economics · Quantitative Finance 2016-06-30 Johan G. Andreasson , Pavel V. Shevchenko , Alex Novikov

In this article we solve the problem of maximizing the expected utility of future consumption and terminal wealth to determine the optimal pension or life-cycle fund strategy for a cohort of pension fund investors. The setup is strongly…

Mathematical Finance · Quantitative Finance 2020-08-03 Andreas Lichtenstern , Pavel V. Shevchenko , Rudi Zagst

The transition from defined benefit to defined contribution pension plans shifts the responsibility for saving toward retirement from governments and institutions to the individuals. Determining optimal saving and investment strategy for…

Portfolio Management · Quantitative Finance 2022-06-14 Fatih Ozhamaratli , Paolo Barucca

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…

Portfolio Management · Quantitative Finance 2023-09-19 Kenneth Tsz Hin Ng , Wing Fung Chong

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…

Mathematical Finance · Quantitative Finance 2021-04-01 Lin He , Zongxia Liang , Yilun Song , Qi Ye

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…

General Economics · Economics 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.…

Portfolio Management · Quantitative Finance 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.…

Optimization and Control · Mathematics 2021-11-02 Junkee Jeon , Hyeng Keun Koo

Pension schemes all over the world are under increasing pressure to efficiently hedge the longevity risk posed by ageing populations. In this work, we study an optimal investment problem for a defined contribution pension scheme which…

Risk Management · Quantitative Finance 2020-05-22 Ankush Agarwal , Christian-Oliver Ewald , Yongjie Wang

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…

Optimization and Control · Mathematics 2023-11-22 Giorgio Ferrari , Shihao Zhu

We use a neural network to identify the optimal solution to a family of optimal investment problems, where the parameters determining an investor's risk and consumption preferences are given as inputs to the neural network in addition to…

Computational Finance · Quantitative Finance 2025-11-11 John Armstrong , Cristin Buescu , James Dalby , Rohan Hobbs

We extend the lifecycle model (LCM) of consumption over a random horizon (a.k.a. the Yaari model) to a world in which (i.) the force of mortality obeys a diffusion process as opposed to being deterministic, and (ii.) a consumer can adapt…

Risk Management · Quantitative Finance 2012-05-23 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

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…

Portfolio Management · Quantitative Finance 2011-02-14 I. Duarte , D. Pinheiro , A. A. Pinto , S. R. Pliska

We study a fully funded, collective defined-contribution (DC) pension system with multiple overlapping generations. We investigate whether the welfare of participants can be improved by intergenerational risk sharing (IRS) implemented with…

General Economics · Economics 2023-03-24 An Chen , Motonobu Kanagawa , Fangyuan Zhang

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…

Portfolio Management · Quantitative Finance 2021-08-23 Guodong Ding , Daniele Marazzina

We propose a data-driven Neural Network (NN) optimization framework to determine the optimal multi-period dynamic asset allocation strategy for outperforming a general stochastic target. We formulate the problem as an optimal stochastic…

Computational Finance · Quantitative Finance 2020-06-30 Chendi Ni , Yuying Li , Peter Forsyth , Ray Carroll

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…

Portfolio Management · Quantitative Finance 2022-10-13 S. Kirusheva , H. Huang , T. S. Salisbury

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

The Australian Government uses the means-test as a way of managing the pension budget. Changes in Age Pension policy impose difficulties in retirement modelling due to policy risk, but any major changes tend to be `grandfathered' meaning…

General Finance · Quantitative Finance 2016-11-28 Johan G. Andreasson , Pavel V. Shevchenko

Money-back guarantees (MBGs) are features of pooled retirement income products that address bequest concerns by ensuring the initial premium is returned through lifetime payments or, upon early death, as a death benefit to the estate. This…

Portfolio Management · Quantitative Finance 2026-02-19 German Nova Orozco , Duy-Minh Dang , Peter A. Forsyth
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