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This paper investigates an optimal investment problem under the tail Value at Risk (tail VaR, also known as expected shortfall, conditional VaR, average VaR) and portfolio insurance constraints confronted by a defined-contribution pension…

投资组合管理 · 定量金融 2023-09-06 Hui Mi , Zuo Quan Xu , Dongfang Yang

We study a continuous-time portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the difference between the CVaR and the expected terminal wealth. While the mean-CVaR…

最优化与控制 · 数学 2025-10-01 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

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…

最优化与控制 · 数学 2021-03-04 Xiaoyi Zhang , Linlin Tian

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…

投资组合管理 · 定量金融 2023-02-20 Guohui Guan , Zongxia Liang , Yi Xia

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…

投资组合管理 · 定量金融 2018-08-23 Calisto Guambe , Rodwell Kufakunesu , Gusti Van Zyl , Conrad Beyers

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…

最优化与控制 · 数学 2025-02-25 Peter A. Forsyth , Yuying Li

The decumulation of a defined contribution (DC) pension plan is well known to be one of the hardest problems in finance. We model this decumulation challenge as an optimal stochastic control problem. The control problem is solved, at each…

计算工程、金融与科学 · 计算机科学 2026-05-19 Peter A. Forsyth , George Labahn

We consider the terminal wealth utility maximization problem from the point of view of a portfolio manager who is paid by an incentive scheme, which is given as a convex function $g$ of the terminal wealth. The manager's own utility…

投资组合管理 · 定量金融 2015-02-24 Maxim Bichuch , Stephan Sturm

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…

计算金融 · 定量金融 2020-08-18 Peter A. Forsyth

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and…

投资组合管理 · 定量金融 2020-04-17 Amir Ahmadi-Javid , Malihe Fallah-Tafti

De Finetti's optimal reinsurance is a set of contracts, one for each risk in a portfolio, that caps the retained aggregate variance to a pre-specified level while minimizing total expected loss. The premiums are determined using the…

最优化与控制 · 数学 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

This paper studies a Value-at-Risk (VaR)-regulated optimal portfolio problem of the equity holders of a participating life insurance contract. In a setting with unhedgeable mortality risk and complete financial market, the optimal solution…

数理金融 · 定量金融 2020-11-17 Thai Nguyen , Mitja Stadje

This paper is devoted to study the effects arising from imposing a value-at-risk (VaR) constraint in mean-variance portfolio selection problem for an investor who receives a stochastic cash flow which he/she must then invest in a…

投资组合管理 · 定量金融 2010-11-24 Jun Ye , Tiantian Li

This paper extends the utility maximization literature by combining partial information and (robust) regulatory constraints. Partial information is characterized by the fact that the stock price itself is observable by the optimizing…

风险管理 · 定量金融 2025-09-23 Nicole Bäuerle , An Chen

This paper studies a mean-risk portfolio choice problem for log-returns in a continuous-time, complete market. This is a growth-optimal problem with risk control. The risk of log-returns is measured by weighted Value-at-Risk (WVaR), which…

风险管理 · 定量金融 2021-12-30 Pengyu Wei , Zuo Quan Xu

Value-at-Risk (VaR) is one of the main regulatory tools used for risk management purposes. However, it is difficult to compute optimal VaR portfolios; that is, an optimal risk-reward portfolio allocation using VaR as the risk measure. This…

投资组合管理 · 定量金融 2021-07-16 Onur Babat , Juan C. Vera , Luis F. Zuluaga

We study the optimal asset allocation problem for a fund manager whose compensation depends on the performance of her portfolio with respect to a benchmark. The objective of the manager is to maximise the expected utility of her final…

投资组合管理 · 定量金融 2020-11-17 Flavio Angelini , Katia Colaneri , Stefano Herzel , Marco Nicolosi

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

数理金融 · 定量金融 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

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…

综合经济学 · 经济学 2023-03-24 An Chen , Motonobu Kanagawa , Fangyuan Zhang

We solve an expected utility-maximization problem with a Value-at-risk constraint on the terminal portfolio value in an incomplete financial market due to stochastic volatility. To derive the optimal investment strategy, we use the dynamic…

投资组合管理 · 定量金融 2025-05-21 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst
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