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This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

Mathematical Finance · Quantitative Finance 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Gregor Leimcke

In this paper, we consider the optimal portfolio liquidation problem under the dynamic mean-variance criterion and derive time-consistent solutions in three important models. We give adapted optimal strategies under a reconsidered…

Trading and Market Microstructure · Quantitative Finance 2015-11-02 Jia-Wen Gu , Mogens Steffensen

This paper studies the robust portfolio selection problem under a state-dependent confidence set. The investor invests in a financial market with a risk-free asset and a risky asset. The ambiguity-averse investor faces uncertainty over the…

Optimization and Control · Mathematics 2024-10-01 Guohui Guan , Yuting Jia , Zongxia Liang

This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

Optimization and Control · Mathematics 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

Mathematical Finance · Quantitative Finance 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

In this paper, optimal consumption and investment decisions are studied for an investor who can invest in a fixed interest rate bank account and a stock whose price is a log normal diffusion. We present the method of the HJB equation in…

Portfolio Management · Quantitative Finance 2014-09-16 Jiacheng Feng

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale…

Mathematical Finance · Quantitative Finance 2018-06-20 Lijun Bo , Agostino Capponi

In this paper, a robust optimal reinsurance-investment problem with delay is studied under the $\alpha$-maxmin mean-variance criterion. The surplus process of an insurance company approximates Brownian motion with drift. The financial…

Optimization and Control · Mathematics 2022-09-13 Min Zhang , Yong He

We consider a portfolio optimization problem in a defaultable market with finitely-many economical regimes, where the investor can dynamically allocate her wealth among a defaultable bond, a stock, and a money market account. The market…

Portfolio Management · Quantitative Finance 2011-09-07 Agostino Capponi , Jose E. Figueroa-Lopez

This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

We consider a dynamic portfolio optimization problem that incorporates predictable returns, instantaneous transaction costs, price impact, and stochastic volatility, extending the classical results of Garleanu and Pedersen (2013), which…

Computational Finance · Quantitative Finance 2025-07-24 Patrick Chan , Ronnie Sircar , Iosif Zimbidis

In this paper, we focus on the problem of optimal portfolio-consumption policies in a multi-asset financial market, where the n risky assets follow Exponential Ornstein-Uhlenbeck processes, along with one risk-free bond. The investor's…

Optimization and Control · Mathematics 2025-09-10 Zhaoxiang Zhong , Haiming Song

In this paper, we consider the robust optimal reinsurance investment problem of the insurer under the $\alpha$-maxmin mean-variance criterion in the defaultable market. The financial market consists of risk-free bonds, a stock and a…

Optimization and Control · Mathematics 2021-12-09 Min Zhang , Yong He

This paper considers a robust time-consistent mean-variance-skewness portfolio selection problem for an ambiguity-averse investor by taking into account wealth-dependent risk aversion and wealth-dependent skewness preference as well as…

Optimization and Control · Mathematics 2022-01-19 Jian-hao Kang , Nan-jing Huang , Zhihao Hu , Ben-Zhang Yang

In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

Optimization and Control · Mathematics 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

Portfolio Management · Quantitative Finance 2020-10-28 A. Georgantas

We determine the optimal robust investment strategy of an individual who targets at a given rate of consumption and seeks to minimize the probability of lifetime ruin when she does not have perfect confidence in the drift of the risky…

Optimization and Control · Mathematics 2014-11-04 Erhan Bayraktar , Yuchong Zhang

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

Information Retrieval · Computer Science 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano
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