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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

A stock loan is a loan, secured by a stock, which gives the borrower the right to redeem the stock at any time before or on the loan maturity. The way of dividends distribution has a significant effect on the pricing of the stock loan and…

证券定价 · 定量金融 2022-01-07 Min Dai , Zuo Quan Xu

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

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…

最优化与控制 · 数学 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

In this paper we investigate a utility maximization problem with drift uncertainty in a multivariate continuous-time Black-Scholes type financial market which may be incomplete. We impose a constraint on the admissible strategies that…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

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…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Gregor Leimcke

This paper is concerned with a long standing optimal dividend payout problem subject to the so-called ratcheting constraint, that is, the dividend payout rate shall be non-decreasing over time and is thus self-path-dependent. The surplus…

数理金融 · 定量金融 2024-07-08 Chonghu Guan , Zuo Quan Xu

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 study the problem of optimal dividend payout from a surplus process governed by Brownian motion with drift under the additional constraint of ratcheting, i.e. the dividend rate can never decrease. We solve the resulting two-dimensional…

概率论 · 数学 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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

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 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…

数理金融 · 定量金融 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

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

The paper studies a system of Hamilton-Jacobi equations, arising from a stochastic optimal debt management problem in an infinite time horizon with exponential discount, modeled as a noncooperative interaction between a borrower and a pool…

最优化与控制 · 数学 2019-10-29 Rossana Capuani , Steven Gilmore , Khai T. Nguyen

We study a problem of finding an optimal stopping strategy to liquidate an asset with unknown drift. Taking a Bayesian approach, we model the initial beliefs of an individual about the drift parameter by allowing an arbitrary probability…

数理金融 · 定量金融 2015-09-03 Erik Ekström , Juozas Vaicenavicius

The main purpose of this paper is to analyze solutions to a fully nonlinear parabolic equation arising from the problem of optimal portfolio construction. We show how the problem of optimal stock to bond proportion in the management of…

投资组合管理 · 定量金融 2009-11-05 Zuzana Macova , Daniel Sevcovic

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 studies an optimal dividend problem with a drawdown constraint in a Brownian motion model, requiring the dividend payout rate to remain above a fixed proportion of its historical maximum. This leads to a path-dependent stochastic…

数理金融 · 定量金融 2026-01-08 Chonghu Guan , Jiacheng Fan , Zuo Quan Xu

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

In this paper, we study a time-inconsistent stochastic optimal control problem with a recursive cost functional by a multi-person hierarchical differential game approach. An equilibrium strategy of this problem is constructed and a…

最优化与控制 · 数学 2016-06-13 Qingmeng Wei , Jiongmin Yong , Zhiyong Yu
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