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Related papers: Optimal allocation to deferred income annuities

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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

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

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

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…

General Finance · Quantitative Finance 2020-07-28 Wen Chen , Nicolas Langrené

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

Refundable income annuities (IA), such as cash-refund and instalment-refund, differ in material ways from the life-only version beloved by economists. In addition to lifetime income they guarantee the annuitant or beneficiary will receive…

Pricing of Securities · Quantitative Finance 2021-11-03 Moshe A. Milevsky , Thomas S. Salisbury

We extend the Annually Recalculated Virtual Annuity (ARVA) spending rule for retirement savings decumulation to include a cap and a floor on withdrawals. With a minimum withdrawal constraint, the ARVA strategy runs the risk of depleting the…

Computational Finance · Quantitative Finance 2021-01-11 Peter A. Forsyth , Kenneth R. Vetzal , Graham Westmacott

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

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 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 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…

Portfolio Management · Quantitative Finance 2025-10-14 Criscent Birungi , Cody Hyndman

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

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

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

This paper considers the constrained portfolio optimization in a generalized life-cycle model. The individual with a stochastic income manages a portfolio consisting of stocks, a bond, and life insurance to maximize his or her consumption…

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

We study an asset allocation stochastic problem with restriction for a defined-contribution pension plan during the accumulation phase. We consider a financial market with stochastic interest rate, composed of a risk-free asset, a real zero…

Portfolio Management · Quantitative Finance 2018-08-23 Calisto Guambe , Rodwell Kufakunesu , Gusti Van Zyl , Conrad Beyers

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 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

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

Heart transplantation is a viable path for patients suffering from advanced heart failure, but this lifesaving option is severely limited due to donor shortage. Although the current allocation policy was recently revised in 2018, a major…

Machine Learning · Computer Science 2025-12-16 Ioannis Anagnostides , Zachary W. Sollie , Arman Kilic , Tuomas Sandholm
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