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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…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

This paper introduces an innovative framework for the periodic evaluation of defined-contribution pension funds. The performance of the pension fund is evaluated not only at retirement, but also within the interim periods. In contrast to…

Risk Management · Quantitative Finance 2025-08-08 Wanting He , Wenyuan Li , Yunran Wei

We present an architecture for managing Collective Defined Contribution (CDC) schemes. The current approach to UK CDC can be described as shared-indexation, where the nominal benefit of every member in a scheme receives the same level of…

Portfolio Management · Quantitative Finance 2025-05-07 John Armstrong , James Dalby , Rohan Hobbs

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 work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is proportional to the individual's salary, the dynamics of which follows a Heston…

Optimization and Control · Mathematics 2021-03-04 Xiaoyi Zhang , Linlin Tian

Currently, pension providers are running into trouble mainly due to the ultra-low interest rates and the guarantees associated to some pension benefits. With the aim of reducing the pension volatility and providing adequate pension levels…

Risk Management · Quantitative Finance 2020-08-07 M. Carmen Boado-Penas , Julia Eisenberg , Paul Krühner

This paper investigates optimal investment and pension policies in a Pay-As-You-Go (PAYG) system supplemented by a buffer fund used as an intergenerational risk-sharing mechanism. The social planner's preference criterion is represented by…

Mathematical Finance · Quantitative Finance 2026-05-15 Jennifer Alonso-Garcia , Caroline Hillairet , Sarah Kaakai , Mohamed Mrad

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

Almost every public pension system shares two attributes: earning deductions to finance benefits, and benefits that depend on earnings. This paper analyzes theoretically and empirically the trade-off between social insurance and incentive…

General Economics · Economics 2022-11-09 Francisco Cabezon

In this paper, we investigate the optimal management of defined contribution (abbr. DC) pension plan under relative performance ratio and Value-at-Risk (abbr. VaR) constraint. Inflation risk is introduced in this paper and the financial…

Risk Management · Quantitative Finance 2021-03-09 Guohui Guan , Zongxia Liang , Yi xia

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

We evaluate the performance and level of intergenerational cross-subsidy in flat-accrual and dynamic-accrual collective defined contribution (CDC) schemes which have been designed to be compatible with UK legislation. In the flat-accrual…

General Finance · Quantitative Finance 2025-04-16 John Armstrong , James Dalby , Catherine Donnelly

How should successive generations insure each other when the young can default on previously promised transfers to the old? This paper studies intergenerational insurance that maximizes the expected discounted utility of all generations…

Theoretical Economics · Economics 2024-04-17 Francesco Lancia , Alessia Russo , Tim Worrall

This work studies a stochastic optimal control problem for a pension scheme which provides an income-drawdown policy to its members after their retirement. To manage the scheme efficiently, the manager and members agree to share the…

Risk Management · Quantitative Finance 2020-02-14 Ankush Agarwal , Christian-Oliver Ewald , Yongjie Wang

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 proposes and investigates an optimal pair investment/pension policy for a pay-as-you-go (PAYG) pension scheme. The social planner can invest in a buffer fund in order to guarantee a minimal pension amount. The model aims at…

Mathematical Finance · Quantitative Finance 2024-02-28 Caroline Hillairet , Sarah Kaakai , Mohamed Mrad

As the developed world replaces Defined Benefit (DB) pension plans with Defined Contribution (DC) plans, there is a need to develop decumulation strategies for DC plan holders. Optimal decumulation can be viewed as a problem in optimal…

Optimization and Control · Mathematics 2025-02-25 Peter A. Forsyth , Yuying Li

This paper investigates the optimal management of an aggregated defined benefit pension plan in a stochastic environment. The interest rate follows the Ornstein-Uhlenbeck model, the benefits follow the geometric Brownian motion while the…

Portfolio Management · Quantitative Finance 2023-02-20 Guohui Guan , Zongxia Liang , Yi Xia

In order to deal with the aging problem, pension system is actively transformed into the funded scheme. However, the funded scheme does not completely replace PAYGO (Pay as You Go) scheme and there exist heterogeneous mixes among PAYGO, EET…

Mathematical Finance · Quantitative Finance 2023-02-21 Lin He , Zongxia Liang , Zhaojie Ren , Yilun Song

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
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