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This study employs expected certainty equivalents to explore the reinsurance and investment issue pertaining to an insurer that aims to maximize the expected utility while being subject to random risk aversion. The insurer's surplus process…

最优化与控制 · 数学 2025-01-03 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We study an infinite-horizon optimal investment, consumption and insurance problem for an economic agent who consumes a perishable and a durable good. The agent trades in a risk-free asset, a risky asset, and a durable good whose price…

综合经济学 · 经济学 2025-12-09 Aleksandar Arandjelović , Ryle S. Perera , Pavel V. Shevchenko , Tak Kuen Siu , Jin Sun

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…

最优化与控制 · 数学 2014-11-04 Erhan Bayraktar , Yuchong Zhang

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…

最优化与控制 · 数学 2022-01-19 Jian-hao Kang , Nan-jing Huang , Zhihao Hu , Ben-Zhang Yang

This paper is concerned with the axiomatic foundation and explicit construction of a general class of optimality criteria that can be used for investment problems with multiple time horizons, or when the time horizon is not known in…

投资组合管理 · 定量金融 2014-02-03 Sergey Nadtochiy , Michael Tehranchi

We study the optimal excess-of-loss reinsurance problem when both the intensity of the claims arrival process and the claim size distribution are influenced by an exogenous stochastic factor. We assume that the insurer's surplus is governed…

数理金融 · 定量金融 2019-04-12 Matteo Brachetta , Claudia Ceci

This paper investigates a continuous-time portfolio optimization problem with the following features: (i) a no-short selling constraint; (ii) a leverage constraint, that is, an upper limit for the sum of portfolio weights; and (iii) a…

投资组合管理 · 定量金融 2022-03-08 Masashi Ieda

We consider an optimal dividend payout problem for an insurance company whose surplus follows the classical Cram\'er-Lundberg model. The dividend rate is subject to a ratcheting constraint (i.e., it must be nondecreasing over time), and the…

最优化与控制 · 数学 2026-04-07 Chonghu Guan , Zuo Quan Xu

We study the optimal investment-consumption problem for a member of defined contribution plan during the decumulation phase. For a fixed annuitization time, to achieve higher final annuity, we consider a variable consumption rate. Moreover,…

投资组合管理 · 定量金融 2020-08-18 Hassan Dadashi

This paper investigates the dynamic reinsurance design problem under the mean-variance criterion, incorporating heterogeneous beliefs between the insurer and the reinsurer, and introducing an incentive compatibility constraint to address…

最优化与控制 · 数学 2025-08-19 Junyi Guo , Xia Han , Hao Wang

We consider the mean--variance portfolio optimization problem under the game theoretic framework and without risk-free assets. The problem is solved semi-explicitly by applying the extended Hamilton--Jacobi--Bellman equation. Although the…

投资组合管理 · 定量金融 2016-02-17 Chi Kin Lam , Yuhong Xu , Guosheng Yin

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…

数理金融 · 定量金融 2018-06-20 Lijun Bo , Agostino Capponi

We consider an optimal investment and risk control problem for an insurer under the mean-variance (MV) criterion. By introducing a deterministic auxiliary process defined forward in time, we formulate an alternative time-consistent problem…

投资组合管理 · 定量金融 2021-01-12 Yang Shen , Bin Zou

We study an optimal investment and consumption problem over a finite-time horizon, in which an individual invests in a risk-free asset and a risky asset, and evaluate utility using a general utility function that exhibits loss aversion with…

最优化与控制 · 数学 2025-07-08 Chonghu Guan , Xinfeng Gu , Wenhao Zhang , Xun Li

In this paper we continue investigating the optimal dividend and investment problems under the Sparre Andersen model. More precisely, we assume that the claim frequency is a renewal process instead of a standard compound Poisson process,…

概率论 · 数学 2019-09-02 Lihua Bai , Jin Ma

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

数理金融 · 定量金融 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou

We study the problem of utility maximization from terminal wealth in which an agent optimally builds her portfolio by investing in a bond and a risky asset. The asset price dynamics follow a diffusion process with regime-switching…

投资组合管理 · 定量金融 2018-04-24 Adriana Ocejo

This paper studies the mean-variance optimal portfolio choice of an investor pre-committed to a deterministic investment policy in continuous time in a market with mean-reversion in the risk-free rate and the equity risk-premium. In the…

数理金融 · 定量金融 2024-03-07 Michael Preisel

We consider a time-consistent mean-variance portfolio selection problem of an insurer and allow for the incorporation of basis (mortality) risk. The optimal solution is identified with a Nash subgame perfect equilibrium. We characterize an…

投资组合管理 · 定量金融 2019-08-16 Frank Bosserhoff , Mitja Stadje

In this work we investigate the optimal proportional reinsurance-investment strategy of an insurance company which wishes to maximize the expected exponential utility of its terminal wealth in a finite time horizon. Our goal is to extend…

风险管理 · 定量金融 2019-04-04 Matteo Brachetta , Claudia Ceci