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In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

We address a long-standing open problem in risk theory, namely the optimal strategy to pay out dividends from an insurance surplus process, if the dividend rate can never be decreased. The optimality criterion here is to maximize the…

投资组合管理 · 定量金融 2021-06-08 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We investigate the optimal investment-reinsurance problem for insurance company with partial information on the market price of the risk. Through the use of filtering techniques we convert the original optimization problem involving…

投资组合管理 · 定量金融 2024-08-15 Claudia Ceci , Katia Colaneri

Revisiting the continuous-time Mean-Variance (MV) Portfolio Optimization problem, we model the market dynamics with a jump-diffusion process and apply Reinforcement Learning (RL) techniques to facilitate informed exploration within the…

投资组合管理 · 定量金融 2025-12-11 Yuling Max Chen , Bin Li , David Saunders

This paper investigates a Stackelberg game between an insurer and a reinsurer under the $\alpha$-maxmin mean-variance criterion. The insurer can purchase per-loss reinsurance from the reinsurer. With the insurer's feedback reinsurance…

投资组合管理 · 定量金融 2023-01-02 Guohui Guan , Zongxia Liang , Yilun Song

This study considers an optimal reinsurance, investment, and dividend strategy control problem for insurance companies in a regulated Markov regime-switching environment, intending to maximize long-run average reward. Unlike existing single…

最优化与控制 · 数学 2025-12-18 Lingjia Zeng , Manman Li

Merton portfolio management problem is studied in this paper within a stochastic volatility, non constant time discount rate, and power utility framework. This problem is time inconsistent and the way out of this predicament is to consider…

投资组合管理 · 定量金融 2024-02-09 Oumar Mbodji , Traian A. Pirvu

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

投资组合管理 · 定量金融 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

In this report we derive the strategic (deterministic) allocation to bonds and stocks resulting in the optimal mean-variance trade-off on a given investment horizon. The underlying capital market features a mean-reverting process for equity…

数理金融 · 定量金融 2022-01-17 Søren Fiig Jarner

We study equilibrium feedback strategies for a family of dynamic mean-variance problems with competition among a large group of agents. We assume that the time horizon is random and each agent's risk aversion depends dynamically on the…

最优化与控制 · 数学 2026-05-05 Xiaoqing Liang , Jie Xiong , Ying Yang

We study optimal portfolio choice under Epstein-Zin recursive utility in the presence of general leverage constraints. We first establish that the optimal value function is the unique viscosity solution to the associated…

投资组合管理 · 定量金融 2025-10-24 Dejian Tian , Weidong Tian , Jianjun Zhou , Zimu Zhu

We derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential L\'evy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic…

投资组合管理 · 定量金融 2014-11-11 Giorgio Ferrari , Paavo Salminen

An optimal control problem is considered for a stochastic differential equation containing a state-dependent regime switching, with a recursive cost functional. Due to the non-exponential discounting in the cost functional, the problem is…

最优化与控制 · 数学 2017-12-29 Hongwei Mei , Jiongmin Yong

In this paper, we consider a risk-based optimal investment problem of an insurer in a regime-switching jump diffusion model with noisy memory. Using the model uncertainty modeling, we formulate the investment problem as a zero-sum,…

投资组合管理 · 定量金融 2019-03-25 Rodwell Kufakunesu , Calisto Guambe , Lesedi Mabitsela

We consider an optimal control problem for a linear stochastic integro-diffe\-rential equation with conic constraints on the phase variable and the control of singular-regular type. Our setting includes consumption-investment problems for…

最优化与控制 · 数学 2015-01-20 Dimitri De Vallière , Yuri Kabanov , Emmanuel Lépinette

We consider the problem of maximizing the discounted utility of dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er-Lundberg risk process. We investigate this optimization problem under the…

计算金融 · 定量金融 2017-05-08 Zbigniew Palmowski , Sebastian Baran

We consider the optimal investment problem when the traded asset may default, causing a jump in its price. For an investor with constant absolute risk aversion, we compute indifference prices for defaultable bonds, as well as a price for…

数理金融 · 定量金融 2017-03-02 Tetsuya Ishikawa , Scott Robertson

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…

计算金融 · 定量金融 2025-07-24 Patrick Chan , Ronnie Sircar , Iosif Zimbidis

This article studies a portfolio optimization problem, where the market consisting of several stocks is modeled by a multi-dimensional jump-diffusion process with age-dependent semi-Markov modulated coefficients. We study risk sensitive…

投资组合管理 · 定量金融 2019-10-21 Milan Kumar Das , Anindya Goswami , Nimit Rana