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In this paper, we investigate a portfolio selection problem with transaction costs under a two-factor stochastic volatility structure, where volatility follows a mean-reverting process with a stochastic mean-reversion level. The model…

数理金融 · 定量金融 2025-11-18 Dong Yan , Ke Zhou , Zirun Wang , Xin-Jiang He

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

证券定价 · 定量金融 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

We study a stochastic recursive optimal control problem in which the cost functional is described by the solution of a backward stochastic differential equation driven by G-Brownian motion. Some of the economic and financial optimization…

最优化与控制 · 数学 2015-09-01 Mingshang Hu , Shaolin Ji

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

数理金融 · 定量金融 2026-04-27 Thai Nguyen , Pertiny Nkuize

We consider the classical multi-asset Merton investment problem under drift uncertainty, i.e. the asset price dynamics are given by geometric Brownian motions with constant but unknown drift coefficients. The investor assumes a prior drift…

投资组合管理 · 定量金融 2024-02-22 Nicole Bäuerle , Antje Mahayni

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

证券定价 · 定量金融 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

We consider the Brownian market model and the problem of expected utility maximization of terminal wealth. We, specifically, examine the problem of maximizing the utility of terminal wealth under the presence of transaction costs of a…

交易与市场微观结构 · 定量金融 2008-12-02 Theodoros Tsagaris

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

投资组合管理 · 定量金融 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

We study utility maximization problem for general utility functions using dynamic programming approach. We consider an incomplete financial market model, where the dynamics of asset prices are described by an $R^d$-valued continuous…

概率论 · 数学 2008-12-10 M. Mania , R. Tevzadze

This paper studies dynamic asset allocation with interest rate risk and several sources of ambiguity. The market consists of a risk-free asset, a zero-coupon bond (both determined by a Vasicek model), and a stock. There is ambiguity about…

投资组合管理 · 定量金融 2023-10-30 Julian Hölzermann

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…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We consider the problem of utility maximization with exponential preferences in a market where the traded stock/risky asset price is modelled as a L\'evy-driven pure jump process (i.e. the driving L\'evy process has no Brownian component).…

概率论 · 数学 2016-02-02 Carla Mereu , Robert Stelzer

In this paper, an optimization problem for the monotone mean-variance(MMV) criterion is considered in the perspective of the insurance company. The MMV criterion is an amended version of the classical mean-variance(MV) criterion which…

最优化与控制 · 数学 2022-12-05 Bohan Li , Junyi Guo , Linlin Tian

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…

投资组合管理 · 定量金融 2024-08-01 Katia Colaneri , Daniele Mancinelli , Immacolata Oliva

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

投资组合管理 · 定量金融 2017-08-04 Imke Redeker , Ralf Wunderlich

This paper addresses the portfolio selection problem for nonlinear law-dependent preferences in continuous time, which inherently exhibit time inconsistency. Employing the method of stochastic maximum principle, we establish verification…

数理金融 · 定量金融 2023-11-15 Zongxia Liang , Jianming Xia , Fengyi Yuan

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 an optimal dividend problem for an insurer who simultaneously controls investment weights in a financial market, liability ratio in the insurance business, and dividend payout rate. The insurer seeks an optimal strategy to maximize…

数理金融 · 定量金融 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou

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…

最优化与控制 · 数学 2022-09-13 Min Zhang , Yong He

We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of…

证券定价 · 定量金融 2017-03-02 Ying Jiao , Idris Kharroubi