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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

This paper resolves Aaron's social insurance paradox, which suggests that introducing a pay-as-you-go (PAYG) pension system increases welfare when population growth plus average wage growth exceeds interest rates. Using a simplified…

Theoretical Economics · Economics 2025-04-02 Martin Drees

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

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

In countries with a growing number of elderly and a shrinking workforce, one of which is Russia, it becomes impossible to maintain a solidary pension system and a need to switch to a more stable funded system appears. This paper analyzes…

General Economics · Economics 2024-10-21 Kirill Moiseev

Many countries around the world have had to carry out radical reforms periodically in their pension systems. Global experience shows that it is important to optimize the costs of pension and social security systems in order to ensure a…

General Finance · Quantitative Finance 2022-02-28 Marika Khozrevanidze

This paper develops a two-period dynastic overlapping-generations (OLG) model in which parents simultaneously choose consumption, savings, fertility, and three distinct dimensions of child quality-education, physical health, and mental…

Theoretical Economics · Economics 2026-05-11 Sushmita Kumari , Siddharth Gavhale

The increasing difficulties in financing the welfare state and in particular public retirement pensions have been one of the outcomes both of the decrease of fertility and birth rates combined with the increase of life expectancy. The…

General Economics · Economics 2019-09-20 Sérgio Bacelar , Luis Antunes

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 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

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

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 article presents a new model for demographic simulation which can be used to forecast and estimate the number of people in pension funds (contributors and retirees) as well as workers in a public institution. Furthermore, the model…

General Finance · Quantitative Finance 2018-01-16 Juan Jose Viquez , Alexander Campos , Jorge Loria , Luis Alfredo Mendoza , Jorge Aurelio Viquez

This research presents an analysis of the demographic risk related to future membership patterns in pension funds with restricted entrance, financed under a pay-as-you-go scheme. The paper, therefore, proposes a stochastic model for…

Risk Management · Quantitative Finance 2011-06-28 Alessandro Fiori Maccioni

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

We employ stochastic dynamic microsimulations to analyse and forecast the pension cost dependency ratio for England and Wales from 1991 to 2061, evaluating the impact of the ongoing state pension reforms and changes in international…

Econometrics · Economics 2019-09-26 Agnieszka Werpachowska

This paper proposes a simulation-based framework for assessing and improving the performance of a pension fund management scheme. This framework is modular and allows the definition of customized performance metrics that are used to assess…

Optimization and Control · Mathematics 2026-03-17 Raphael Chinchilla , Thomas D. Rueter , Timothy R. McDade , Peter R. Fisher , Emmanuel Candes , Trevor Hastie , Stephen Boyd

We mathematically demonstrate how and what it means for two collective pension funds to mutually insure one another against systematic longevity risk. The key equation that facilitates the exchange of insurance is a market clearing…

Mathematical Finance · Quantitative Finance 2024-10-11 John Armstrong , James Dalby

We study the gap between the state pension provided by the Italian pension system pre-Dini reform and post-Dini reform. The goal is to fill the gap between the old and the new pension by joining a defined contribution pension scheme and…

Risk Management · Quantitative Finance 2018-06-12 Alessandro Milazzo , Elena Vigna

We study the effects of non-systematic and systematic mortality risks on the required initial capital in a pension plan, in the presence of financial risks. We discover that for a pension plan with few members the impact of pooling on the…

Risk Management · Quantitative Finance 2013-08-01 Helena Aro
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