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The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can…

Portfolio Management · Quantitative Finance 2014-04-15 Nikolai Dokuchaev

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

This paper characterizes differentiable and subgame Markov perfect equilibria in a continuous time intertemporal decision problem with non-constant discounting. Capturing the idea of non commitment by letting the commitment period being…

Optimization and Control · Mathematics 2008-08-29 Ivar Ekeland , Ali Lazrak

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

In the theory of dynamic programming, an optimal policy is a policy whose lifetime value dominates that of all other policies from every possible initial condition in the state space. This raises a natural question: when does optimality…

Optimization and Control · Mathematics 2025-05-13 John Stachurski , Jingni Yang , Ziyue Yang

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specifically, there are two disjoint sets of demand and supply types, and a reward associated with…

Optimization and Control · Mathematics 2018-11-20 Ming Hu , Yun Zhou

In a collectivised pension fund, investors agree that any money remaining in the fund when they die can be shared among the survivors. We compute analytically the optimal investment-consumption strategy for a fund of $n$ identical investors…

Portfolio Management · Quantitative Finance 2019-11-25 John Armstrong , Cristin Buescu

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

Portfolio Management · Quantitative Finance 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

We build a state-of-the-art dynamic model of private asset allocation that considers five key features of private asset markets: (1) the illiquid nature of private assets, (2) timing lags between capital commitments, capital calls, and…

Portfolio Management · Quantitative Finance 2025-03-04 Hui Chen , Giovanni Gambarotta , Simon Scheidegger , Yu Xu

A dynamic model of collective consumption and saving decisions made by a finite number of agents with constant but different discount rates is developed. Collective utility is a weighted sum of individual utilities with time-varying utility…

Optimization and Control · Mathematics 2018-07-18 Luis A. Alcala

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

Optimization and Control · Mathematics 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

In this paper, we investigate an optimal investment problem associated with proportional portfolio insurance (PPI) strategies in the presence of jumps in the underlying dynamics. PPI strategies enable investors to mitigate downside risk…

Portfolio Management · Quantitative Finance 2024-08-01 Katia Colaneri , Daniele Mancinelli , Immacolata Oliva

When we implement a portfolio selection methodology under a mean-risk formulation, it is essential to correctly model investors' risk aversion which may be time-dependent, or even state-dependent during the investment procedure. In this…

Portfolio Management · Quantitative Finance 2015-08-04 Xiangyu Cui , Xun Li , Duan Li , Yun Shi

The aim of this paper is to solve an optimal investment, consumption and life insurance problem when the investor is restricted to capital guarantee. We consider an incomplete market described by a jump-diffusion model with stochastic…

Portfolio Management · Quantitative Finance 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

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 consider a physical asset consisting of complex systems, where the systems may require upgrades during the lifetime of the asset. In practice, the asset owner and system supplier can make the upgrade decisions together, requiring a…

Optimization and Control · Mathematics 2023-02-08 Fiona Sloothaak , Alp Akçay , Matthieu van der Heijden , Geert-Jan van Houtum

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

Optimization and Control · Mathematics 2023-05-15 Hui Xiao , Zhihong Wei

This manuscript studies the preventive replacement policy for a series or parallel system consisting of n independent or dependent heterogeneous components. Firstly, for the age replacement policy, Some sufficient conditions for the…

Statistics Theory · Mathematics 2024-07-26 Jiale Niu , Rongfang Yan

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

Portfolio Management · Quantitative Finance 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

Managing unemployment is one of the key issues in social policies. Unemployment insurance schemes are designed to cushion the financial and morale blow of loss of job but also to encourage the unemployed to seek new jobs more pro-actively…

Statistical Finance · Quantitative Finance 2019-09-05 Jason S. Anquandah , Leonid V. Bogachev