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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

The retirement funding problem addresses the question of how to manage a retiree's savings to provide her with a constant post-tax inflation adjusted consumption throughout her lifetime. This consists of choosing withdrawals and transfers…

Optimization and Control · Mathematics 2025-07-16 Kasper Johansson , Stephen Boyd

Individualized decision rules (IDRs) have become increasingly prevalent in societal applications such as personalized marketing, healthcare, and public policy design. However, a critical ethical concern arises from the potential…

Machine Learning · Statistics 2026-03-06 Wenhai Cui , Wen Su , Donglin Zeng , Xingqiu Zhao

We pose the decumulation strategy for a Defined Contribution (DC) pension plan as a problem in optimal stochastic control. The controls are the withdrawal amounts and the asset allocation strategy. We impose maximum and minimum constraints…

Computational Finance · Quantitative Finance 2020-08-18 Peter A. Forsyth

Birth rates have dramatically decreased and, with continuous improvements in life expectancy, pension expenditure is on an irreversibly increasing path. This will raise serious concerns for the sustainability of the public pension systems…

Risk Management · Quantitative Finance 2020-01-01 M. Carmen Boado-Penas , Julia Eisenberg , Ralf Korn

This article extends the optimal covariance steering (CS) problem for discrete time linear stochastic systems modeled using moment-based ambiguity sets. To hedge against the uncertainty in the state distributions while performing covariance…

Optimization and Control · Mathematics 2022-11-09 Venkatraman Renganathan , Joshua Pilipovsky , Panagiotis Tsiotras

We quantify the benefit of collectivised investment funds, in which the assets of members who die are shared among the survivors. For our model, with realistic parameter choices, an annuity or individual fund requires approximately 20\%…

Portfolio Management · Quantitative Finance 2020-04-08 John Armstrong , Cristin Buescu

This paper considers an insurer with two collaborating business lines, and the risk exposure of each line follows a diffusion risk model. The manager of the insurer makes three decisions for each line: (i) dividend payout, (ii)…

Optimization and Control · Mathematics 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

Intelligent reflecting surfaces (IRSs) are a promising low-cost solution for achieving high spectral and energy efficiency in future communication systems by enabling the customization of wireless propagation environments. Despite the…

Information Theory · Computer Science 2024-04-30 Yifei Wu , Dongfang Xu , Derrick Wing Kwan Ng , Robert Schober , Wolfgang Gerstacker

In this paper we employ a lifecycle model that uses utility of consumption and bequest to determine an optimal Deferred Income Annuity (DIA) purchase policy. We lay out a mathematical framework to formalize the optimization process. The…

Portfolio Management · Quantitative Finance 2021-11-03 F. Habib , H. Huang , A. Mauskopf , B. Nikolic , T. S. Salisbury

In this paper, we investigate resource allocation algorithm design for intelligent reflecting surface (IRS)-assisted multiuser cognitive radio (CR) systems. In particular, an IRS is deployed to mitigate the interference caused by the…

Information Theory · Computer Science 2020-03-03 Dongfang Xu , Xianghao Yu , Robert Schober

In this work, we consider rule-based investment strategies for managing a defined contribution saving scheme under the Dutch pension fund testing model. We found that dynamic rule-based investment can outperform traditional static…

Portfolio Management · Quantitative Finance 2021-06-02 T. R. B. den Haan , K. W. Chau , M. van der Schans , C. W. Oosterlee

This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest…

Optimization and Control · Mathematics 2012-09-19 Jinxia Zhu

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

This paper extends the optimal covariance steering problem for linear stochastic systems subject to chance constraints to account for optimal risk allocation. Previous works have assumed a uniform risk allocation to cast the optimal control…

Optimization and Control · Mathematics 2021-04-14 Joshua Pilipovsky , Panagiotis Tsiotras

We provide a stochastic analysis of an overlapping-generations model under incomplete markets. By casting individual optimisation with idiosyncratic income risk into a forward-backward stochastic differential equation (FBSDE) system, we (i)…

Probability · Mathematics 2025-09-08 Cangxiong Chen , Sigmund Ellingsrud , Fabian Harang , Alfonso Irarrazabal , Avi Mayorcas

The aim of this paper is to study the optimal investment problem by using coherent acceptability indices (CAIs) as a tool to measure the portfolio performance. We call this problem the acceptability maximization. First, we study the…

Mathematical Finance · Quantitative Finance 2020-12-23 Gabriela Kováčová , Birgit Rudloff , Igor Cialenco

Adopting a probabilistic approach we determine the optimal dividend payout policy of a firm whose surplus process follows a controlled arithmetic Brownian motion and whose cash-flows are discounted at a stochastic dynamic rate. Dividends…

Optimization and Control · Mathematics 2021-06-22 Elena Bandini , Tiziano De Angelis , Giorgio Ferrari , Fausto Gozzi

Portfolio optimization is a critical task in investment. Most existing portfolio optimization methods require information on the distribution of returns of the assets that make up the portfolio. However, such distribution information is…

Econometrics · Economics 2025-10-09 Masahiro Kato , Kentaro Baba , Hibiki Kaibuchi , Ryo Inokuchi

A community integrated energy system (CIES) is an important carrier of the energy internet and smart city in geographical and functional terms. Its emergence provides a new solution to the problems of energy utilization and environmental…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Yang Li , Meng Han , Mohammad Shahidehpour , Jiazheng Li , Chao Long